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GEC and Basic Engineering Subjects 1. A. MATHEMATICS Course Name COLLEGE ALGEBRA Algebraic expressions and equations; solution sets of algebraic equations in one variable: linear, quadratic, polynomial of degree n, fractional, radical equations, Course Description quadratic in form, exponential and logarithmic equations; decomposition of fractions into partial fractions; solution sets of systems of linear equations involving up to three variables. Number of Units for Lecture 3 units lecture and Laboratory Number of Contact Hours 3 hours lecture per Week Prerequisite None After completing this course, the student must be able to: 1. Operate and simplify algebraic expressions; 2. Determine the solution sets of all types of algebraic equations, exponential Course Objectives and logarithmic equations; and inequalities; 3. Use the manipulative and analytical skills acquired in Objectives 1 to 2 to solve word problems; and 4. Identify the domain and range of a given relation/function. 1. The Set of Real Numbers 1.1. Integer Exponents 1.2. Polynomials, Operations, Special Products 1.3. Binomial Expansion (Binomial Theorem) 1.4. Factoring Polynomials 2. Rational Expressions 2.1. Rules of Exponents; Simplification of Rational Expressions; Operations on Rational Expressions 2.2. Properties of Radicals; Simplification of Radicals 2.3. Operations on Radicals 2.4. Complex Numbers 3. Equations in One Variable Course Outline 3.1. Linear Equations; Literal Equations 3.2. Quadratic Equations in One Variable 3.3. Word Problems 3.4. Other Equations in One Variable: Radical, Fractional, Quadratic in Form 3.5. Polynomial Equation of Degree n 4. Functions 4.1. Inverse Functions 4.2. Exponential and Logarithmic Functions 4.3. Exponential and Logarithmic Equations 5. Systems of Linear Equations (by Elimination Methods) 6. Decomposition of Rational Expressions into Partial Fractions Laboratory Equipment None 1 GEC and Basic Engineering Subjects Course Name ADVANCED ALGEBRA Matrices and determinants; arithmetic and geometric series; solution sets of Course Description different types of inequalities and systems involving quadratics; solution of linear equations using determinants and matrices. Number of Units for 2 units lecture Lecture and Laboratory Number of Contact Hours 2 hours lecture per Week Prerequisites College Algebra After completing this course, the student must be able to: 1. Determine the solution sets of inequalities; 2. Determine the solution sets of systems involving quadratics; 3. Use the manipulative and analytical skills acquired in Objective 2 to solve Course Objectives word problems; 4. Operate and manipulate matrices and determinants; 5. Solve systems of linear equations using matrices and determinants; and 6. Determine the indicated sum of the elements in an arithmetic and geometric sequence. 1. Inequalities 1.1. Linear, Quadratic, and Polynomial Inequality 1.2. Linear Inequalities with Absolute Value 2. Ratio, Proportion, and Variation 3. Determinants 3.1. Expansion by Minors 3.2. Solution of Linear Systems by Cramer’s Rule 4. Matrices 4.1. Identity Matrix 4.2. Cofactor Matrix 4.3. Transpose of a Matrix 4.4. Adjoint Matrix 4.5. Inverse of a Matrix Course Outline 4.6. Algebra on Matrices (Sum and Difference, Scalar Multiplication, Matrix Multiplication) 4.7. Solution of Linear Systems Using Matrices 5. Sequence and Series 5.1. Arithmetic and Geometric Means 5.2. Arithmetic and Geometric Sequences 5.3. Arithmetic and Geometric Series 5.4. Infinite Series 6. Combinatorial Mathematics 6.1. Sequences 6.2. The Factorial of a Number 6.3. Fundamental Principles of Counting, Permutation, and Combination 6.4. Binomial Theorem 6.5. Mathematical Induction Laboratory Equipment None 2 GEC and Basic Engineering Subjects Course Name PLANE AND SPHERICAL TRIGONOMETRY Trigonometric functions; identities and equations; solutions of triangles; law of Course Description sines; law of cosines; inverse trigonometric functions; spherical trigonometry Number of Units for 3 units lecture Lecture and Laboratory Number of Contact Hours 3 hours lecture per Week Prerequisite None After completing this course, the student must be able to: 1. Define angles and how they are measured; 2. Define and evaluate each of the six trigonometric functions; 3. Prove trigonometric functions; 4. Define and evaluate inverse trigonometric functions; Course Objectives 5. Solve trigonometric equations; 6. Solve problems involving right triangles using trigonometric function definitions for acute angles; and 7. Solve problems involving oblique triangles by the use of the sine and cosine laws. 1. Trigonometric Functions 1.1. Angles and Measurement 1.2. Trigonometric Functions of Angles 1.3. Trigonometric Function Values 1.4. The Sine and Cosine of Real Numbers 1.5. Graphs of the Sine and Cosine and Other Sine Waves 1.6. Solutions of Right Triangle 2. Analytic Trigonometry 2.1. The Eight Fundamental Identities 2.2. Proving Trigonometric Identities Course Outline 2.3. Sum and Difference Identities 2.4. Double-Measure and Half-Measure Identities 2.5. Inverse Trigonometric Functions 2.6. Trigonometric Equations 2.7. Identities for the Product, Sum, and Difference of Sine and Cosine 3. Application of Trigonometry 3.1. The Law of Sines 3.2. The Law of Cosines 4. Spherical Trigonometry 4.1. Fundamental Formulas 4.2. Spherical Triangles Laboratory Equipment None Course Name ANALYTIC GEOMETRY Equations of lines and conic sections; curve tracing in both rectangular and polar Course Description coordinates in two-dimensional space. Number of Units for 2 units lecture Lecture and Laboratory 3 GEC and Basic Engineering Subjects Number of Contact Hours 2 hours lecture per Week College Algebra Prerequisites Plane and Spherical Trigonometry After completing this course, the student must be able to: 1. Set up equations given enough properties of lines and conics; 2. Draw the graph of the given equation of the line and the equation of the Course Objectives conic section; and 3. Analyze and trace completely the curve, given their equations in both rectangular and polar coordinates, in two-dimensional space. 1. Plane Analytic Geometry 1.1. The Cartesian Planes 1.2. Distance Formula 1.3. Point-of-Division Formulas 1.4. Inclination and Slope 1.5. Parallel and Perpendicular Lines 1.6. Angle from One Line to Another 1.7. An Equation of a Locus 2. The Line 2.1. Point-Slope and Two-Point Forms 2.2. Slope-Intercept and Intercept Forms Course Outline 2.3. Distance from a Point to a Line 2.4. Normal Form 7.3. Relationships Between Rectangular and Polar Coordinates 3. The Circle 3.1. The Standard Form for an Equation of a Circle 3.2. Conditions to Determine a Circle 4. Conic Sections 4.1. Introduction 4.2. The Parabola 4.3. The Ellipse 4.4. The Hyperbola 5. Transformation of Coordinates 5.1. Translation of Conic Sections 6. Curve Sketching 6.1. Symmetry and Intercepts 6.2. Sketching Polynomial Equations 6.3. Asymptotes (Except Slant Asymptotes) 6.4. Sketching Rational Functions 7. Polar Coordinates 7.1. Polar Coordinates 7.2. Graphs in Polar Coordinates Laboratory Equipment None 4 GEC and Basic Engineering Subjects Course Name SOLID MENSURATION Concept of lines and planes; Cavalieri’s and Volume theorems; formulas for areas of plane figures, volumes for solids; volumes and surfaces areas for Course Description spheres, pyramids, and cones; zone, sector and segment of a sphere; theorems of Pappus. Number of Units for 2 units lecture Lecture and Laboratory Number of Contact Hours 2 hours lecture per Week College Algebra, Plane and Spherical Trigonometry Prerequisite After completing this course, the student must be able to: 1. Compute for the area of plane figures; Course Objectives 2. Compute for the surface areas and volumes of different types of solids; and 3. Determine the volumes and surface areas of solids using other methods such as the theorems of Pappus. 1. Plane Figures 1.1. Mensuration of Plane Figures 2. Lines and Planes in Space 2.1. Typical Proofs of Solid Geometry 2.2. Angles 3. Solids for which V = Bh 3.1. Solid Sections 3.2. Cubes 3.3. Rectangular Parallelopiped 3.4. Cavalieri’s Theorem 3.5. Volume Theorem 3.6. Prism 3.7. Cylindrical Surface Course Outline 3.8. Cylinder (Circular and Right Circular) 4. Solids for which V = ⅓Bh 4.1. Pyramids 4.2. Similar Figures 4.3. Cones 4.4. Frustum of Regular Pyramid 4.5. Frustum of Right Circular Cone 5. Sphere 5.1. Surface Area and Volume 5.2. Zone 5.3. Segment 5.4. Sector 6. Theorems of Pappus Laboratory Equipment None Course Name DIFFERENTIAL CALCULUS Basic concepts of calculus such as limits, continuity and differentiability of Course Description functions; differentiation of algebraic and transcendental functions involving one or more variables; applications of differential calculus to problems on 5 GEC and Basic Engineering Subjects optimization, rates of change, related rates, tangents and normals, and approximations; partial differentiation and transcendental curve tracing. Number of Units for 4 units lecture Lecture and Laboratory Number of Contact Hours 4 hours lecture per Week Prerequisites Analytic Geometry, Solid Mensuration, Advanced Algebra After completing this course, the student must be able to: 1. Have a working knowledge of the basic concepts of functions and limits; 2. Differentiate algebraic and transcendental functions with ease; Course Objectives 3. Apply the concept of differentiation in solving word problems involving optimization, related rates, and approximation; and 4. Analyze and trace transcendental curves. 1. Functions 1.1. Definitions 1.2. Classification of Functions 1.3. Domain and Range of a Function 1.4. Graph of a Function 1.5. Functional Notation 1.6. Evaluation of a Function 1.7. Combinations of Functions 1.8. One-Valued and Many-Valued Functions 1.9. Odd and Even Functions 1.10. Special Function Types 1.11. Functions as Mathematical Models 2. Continuity 2.1. Definition 2.2. Properties of Continuous Functions 3. Limits 3.1. Notion of a Limit 3.2. Definition 3.3. Properties of Limits Course Outline 3.4. Operations with Limits 3.5. Evaluation of Limits 3.6. One-Sided Limits 3.7. Unbounded Functions 4. The Derivative 4.1. Notion of the Derivative 4.2. Definition 4.3. Determination of the Derivative by Increments 4.4. Differentiation Rules 5. The Slope 5.1. Definition of Slope as the Derivative of a Function 5.2. Determination of the Slope of a Curve at a Given Point 6. Rate of Change 6.1. Average Rate of Change 6.2. Instantaneous Rate of Change 7. The Chain Rule and the General Power Rule 8. Implicit Differentiation 9. Higher-Order Derivatives 10. Polynomial Curves 10.1. Generalities About Straight Lines 6 GEC and Basic Engineering Subjects 10.2. Tangents and Normal to Curves 10.3. Extrema and the First Derivative Test 10.4. Concavity and the Second Derivative Test 10.5. Points of Inflection 10.6. Sketching Polynomial Curves 11. Applications of the Derivative: Optimization Problems 12. Applications of the Derivative: Related Rates 13. The Differential 13.1. Definition 13.2. Applications of the Differential—Comparison of x and dx 13.3. Error Propagation 13.4. Approximate Formulas 14. Derivatives of Trigonometric Functions 14.1. Elementary Properties 14.2. Definition 14.3. Graphs of Trigonometric Functions 14.4. Applications 15. Derivatives of Inverse Trigonometric Functions 15.1. Elementary Properties 15.2. Definition 15.3. Graphs of Inverse Trigonometric Functions 15.4. Applications 16. Derivatives of Logarithmic and Exponential Functions 16.1. Elementary Properties 16.2. Definition 16.3. Graphs of Logarithmic and Exponential Functions 16.4. Applications 17. Derivatives of Hyperbolic Functions 17.1. Elementary Properties 17.2. Definition 17.3. Graphs of Hyperbolic Functions 17.4. Applications 18. Solution of Equations 18.1. Newton’s Method of Approximation 18.2. Newton-Raphson Law 19. Transcendental Curve Tracing 19.1. Logarithmic and Exponential Functions 20. Parametric Equations 21. Partial Differentiation Laboratory Equipment None Course Name INTEGRAL CALCULUS Concept of integration and its application to physical problems such as evaluation of areas, volumes of revolution, force, and work; fundamental formulas and Course Description various techniques of integration applied to both single variable and multi- variable functions; tracing of functions of two variables. Number of Units for 4 units lecture Lecture and Laboratory Number of Contact Hours 4 hours lecture per Week 7 GEC and Basic Engineering Subjects Prerequisite Differential Calculus After completing this course, the student must be able to: 1. Properly carry out integration through the use of the fundamental formulas and/or the various techniques of integration for both single and multiple integrals; Course Objectives 2. Correctly apply the concept of integration in solving problems involving evaluation of areas, volumes, work, and force; 3. Sketch 3-dimensional regions bounded by several surfaces; and 4. Evaluate volumes of 3-dimensional regions bounded by two or more surfaces through the use of the double or triple integral. 1. Integration Concept / Formulas 1.1. Anti-Differentiation 1.2. Simple Power Formula 1.3. Simple Trigonometric Functions 1.4. Logarithmic Function 1.5. Exponential Function 1.6. Inverse Trigonometric Functions 1.7. Hyperbolic Functions 1.8. General Power Formula 1.9. Constant of Integration 1.10. Definite Integral 2. Integration Techniques 2.1. Integration by Parts 2.2. Trigonometric Integrals 2.3. Trigonometric Substitution 2.4. Rational Functions 2.5. Rationalizing Substitution Course Outline 3. Application 3.1. Improper Integrals 3.2. Plane Area 3.3. Areas Between Curves 4. Other Applications 4.1. Volumes 4.2. Work 4.3. Hydrostatics Pressure and Force 5. Surfaces Multiple Integral as Volume 5.1. Surface Tracing: Planes 5.2. Spheres 5.3. Cylinders 5.4. Quadratic Surfaces 5.5. Double Integrals 5.6. Triple Integrals 6. Multiple Integral as Volume 6.1. Double Integrals 6.2. Triple Integrals Laboratory Equipment None Course Name DIFFERENTIAL EQUATIONS Differentiation and integration in solving first order, first-degree differential Course Description equations, and linear differential equations of order n; Laplace transforms in solving differential equations. 8 GEC and Basic Engineering Subjects Number of Units for 3 units lecture Lecture and Laboratory Number of Contact Hours 3 hours lecture per Week Prerequisite Integral Calculus After completing this course, the student must be able to: Course Objectives 1. Solve the different types of differential equations; and 2. Apply differential equations to selected engineering problems. 1. Definitions 1.1. Definition and Classifications of Differential Equations (D.E.) 1.2. Order Degree of a D.E. / Linearity 1.3. Solution of a D.E. (General and Particular) 2. Solution of Some 1st Order, 1st Degree D.E. 2.1. Variable Separable 2.2. Homogeneous 2.3. Exact 2.4. Linear 2.5. Equations Linear in a Function 2.6. Bernoulli’s Equation 3. Applications of 1st Order D.E. 3.1. Decomposition / Growth 3.2. Newton’s Law of Cooling Course Outline 3.3. Mixing (Non-Reacting Fluids) 3.4. Electric Circuits 4. Linear D.E. of Order n 4.1. Standard Form of a Linear D.E. 4.2. Linear Independence of a Set of Functions 4.3. Differential Operators 4.4. Differential Operator Form of a Linear D.E. 5. Homogeneous Linear D.E. with Constant Coefficients 5.1. General Solution 5.2. Auxiliary Equation 6. Non-Homogeneous D.E. with Constant-Coefficients 6.1. Form of the General Solution 6.2. Solution by Method of Undetermined Coefficients 6.3. Solution by Variation of Parameters Laboratory Equipment None Course Name PROBABILITY AND STATISTICS Basic principles of statistics; presentation and analysis of data; averages, median, mode; deviations; probability distributions; normal curves and Course Description applications; regression analysis and correlation; application to engineering problems. Number of Units for 3 units lecture Lecture and Laboratory Number of Contact Hours 3 hours lecture per Week 9 GEC and Basic Engineering Subjects Prerequisite College Algebra After completing this course, the student must be able to: 1. Define relevant statistical terms; 2. Discuss competently the following concepts: 2.1. Frequency distribution 2.2. Measures of central tendency Course Objectives 2.3. Probability distribution 2.4. Normal distribution 2.5. Inferential statistics 3. Apply accurately statistical knowledge in solving specific engineering problem situations. 1. Basic Concepts 1.1. Definition of Statistical Terms 1.2. Importance of Statistics 2. Steps in Conducting a Statistical Inquiry 3. Presentation of Data 3.1. Textual 3.2. Tabular 3.3. Graphical 4. Sampling Techniques 5. Measures of Central Tendency 5.1. Mean 5.2. Median 5.3. Mode 5.4. Skewness and Kurtosis 6. Measures of Variation 6.1. Range Course Outline 6.2. Mean Absolute Deviation 6.3. Variance 6.4. Standard Deviation 6.5. Coefficient of Variation 7. Probability Distributions 7.1. Counting Techniques 7.2. Probability 7.3. Mathematical Expectations 7.4. Normal Distributions 8. Inferential Statistics 8.1. Test of Hypothesis 8.2. Test Concerning Means, Variation, and Proportion 8.3. Contingency Tables 8.4. Test of Independence 8.5. Goodness-of-Fit Test 9. Analysis of Variance 10. Regression and Correlation Laboratory Equipment None 10 GEC and Basic Engineering Subjects B. NATURAL/PHYSICAL SCIENCES Course Name GENERAL CHEMISTRY Basic concepts of matter and its classification; mass relationships in chemical reactions; properties of gases, liquids, and solids; concepts of thermochemistry; Course Description quantum theory and electronic behavior; periodic relationship of elements in the periodic table; intramolecular forces; and solutions. Number of Units for 4 units: 3 units lecture, 1 unit laboratory Lecture and Laboratory Number of Contact Hours 6 hours: 3 hours lecture, 3 hours laboratory per Week Prerequisite None After completing this course, the student must be able to: 1. Apply significant figures and appropriate units in all measurements and calculations; 2. Classify matter; distinguish between physical and chemical properties/changes; 3. Define and explain the concepts of atomic mass, average atomic mass, mole, molar mass and perform calculations involving these; 4. Balance and interpret chemical equations and perform stoichiometric calculations; 5. Write, explain and apply the gas laws; 6. Discuss the kinetic molecular theory (KMT) of gases and use the KMT to qualitatively explain the gas laws; argue the differences between ideal and non-ideal gas behavior; 7. Define enthalpy; classify common processes as exothermic or endothermic and know the sign conventions; Course Objectives 8. Trace the various atomic theories; discuss the Bohr model; and explain the line spectra of hydrogen; Discuss the concept of electron density; contrast the Bohr’s orbits with orbitals in the quantum theory; 9. Write electron configurations and orbital diagrams for multi electron atoms; 10. Use the periodic table to classify elements and predict trends in properties; 11. Write Lewis dot symbols and Lewis structure; 12. Explain valence bond theory, hybrid orbitals, and hybridization in common compounds 13. Distinguish between inter- and intramolecular forces; give examples of intramolecular forces and how they relate to physical properties; 14. Distinguish between crystalline and amorphous solids 15. Discuss various physical changes and interpret phase diagrams; 16. Distinguish different types of solutions; work with different concentration units; Understand the effect of temperature and pressure on solubility; and 17. Explain and apply colligative properties to determine molar mass. 1. The Study of Change 1.1. Introduction to Chemistry 1.2. Matter: Classification, States, Physical, and Chemical Properties 1.3. Measurement and Handling of Numbers Course Outline 2. Atoms, Molecules, and Ions 2.1. The Atomic Theory 2.2. The Structure of the Atom 2.3. Atomic Number, Mass Number, Isotopes 11 GEC and Basic Engineering Subjects 2.4. The Periodic Table 2.5. Molecules and Ions 2.6. Chemical Formulas 2.7. Naming Compounds 3. Mass Relationships in Chemical Reaction 3.1. Atomic Mass 3.2. Molar Mass of an Element and Avogadro’s Number 3.3. Molecular Mass 3.4. Percent Composition of Compounds 3.5. Chemical Reactions and Chemical Equations 3.6. Amounts of Reactants and Products 3.7. Limiting Reagents 3.8. Reaction Yield 4. Gases 4.1. Substances That Exist as Gases 4.2. Pressure of a Gas 4.3. The Gas Laws 4.4. The Ideal Gas Equation 4.5. Gas Stoichiometry 4.6. Dalton’s Law of Partial Pressure 4.7. The Kinetic Molecular Theory of Gases 4.8. Deviation from Ideal Behavior 5. Thermochemistry 5.1. Energy Changes in Chemical Reactions 5.2. Introduction to Thermodynamics 5.3. Enthalpy 6. Quantum Theory and the Electronic Structure of Atoms 6.1. From Classical Physics to Quantum Theory 6.2. Bohr’s Theory of the Hydrogen Atom 6.3. The Dual Nature of the Electron 6.4. Quantum Mechanics 6.5. Quantum Numbers 6.6. Atomic Orbitals 6.7. Electron Configuration 6.8. The Building-Up Principle 7. Periodic Relationships Among the Elements 7.1. Periodic Classification of the Elements 7.2. Periodic Variation in Physical Properties 7.3. Ionization Energy 7.4. Electron Affinity 8. Chemical Bonding: Basic Concepts 8.1. Lewis Dot Structure 8.2. The Ionic Bond 8.3. The Covalent Bond 8.4. Electronegativity 8.5. Writing Lewis Structure 8.6. The Concept of Resonance 8.7. Bond Energy 9. Chemical Bonding: Molecular Geometry and Hybridization 9.1. Molecular Geometry 9.2. Dipole Moments 9.3. The Valence Bond Theory 9.4. Hybridization of Atomic Orbitals 9.5. Hybridization in Molecules Containing Double and Triple Bonds 10. Intermolecular Forces in Liquids and Solids 12 GEC and Basic Engineering Subjects 10.1. The KMT of Liquids and Solids 10.2. Intermolecular Forces 10.3. Properties of Liquids 10.4. Crystalline vs. Amorphous Solids 10.5. Phase Changes 10.6. Phase Diagrams 11. Physical Properties of Solutions 11.1. Types of Solutions 11.2. A Molecular View of the Solution Process 11.3. Concentration Units 11.4. Effect of Temperature and Pressure on Solubility 11.5. Colligative Properties Laboratory Equipment Chemistry Laboratory (see attached) Course Name PHYSICS 1 Vectors; kinematics; dynamics; work, energy, and power; impulse and Course Description momentum; rotation; dynamics of rotation; elasticity; and oscillation. Number of Units for 4 units: 3 units lecture, 1 unit laboratory Lecture and Laboratory Number of Contact Hours 6 hours: 3 hours lecture, 3 hours laboratory per Week Prerequisites College Algebra, Plane and Spherical Trigonometry After completing this course, the student must be able to: 1. Differentiate a vector from a scalar; 2. Determine the resultant of concurrent vectors; 3. Solve problems in kinematics; 4. Apply Newton’s Laws of Motion; 5. Determine the gravitational force between different masses; 6. Solve problems involving centripetal force for horizontal and vertical Course Objectives curves; 7. Compute the work done on a given body; 8. Relate work and energy; 9. Solve problems by applying the law of conservation of energy; 10. Solve problems in impulse and momentum and collisions; 11. Determine the stress and strain on a body; and 12. Determine the period of a body in simple harmonic motion. 1. Work, Energy and Power 1.1. Definition of Work, Energy and Power 1.2. Conservation of Energy 2. Impulse and Momentum 2.1. Definition of Impulse and Momentum Course Outline 2.2. Conservation of Momentum 3. Vector 3.1. Vectors and Scalars 3.2. Graphical Method 3.3. Analytical Method 4. Vector Subtraction 13 GEC and Basic Engineering Subjects 5. Kinematics 5.1. Equations of Kinematics 5.2. Freely Falling Bodies 5.3. Projectile Motion 6. Dynamics 6.1. Newton’s Laws of Motion 6.2. Friction 6.3. First Condition of Equilibrium 7. Work, Energy and Power 7.1. Definition of Work, Energy and Power 7.2. Conservation of Energy 8. Impulse and Momentum 8.1. Definition of Impulse and Momentum 8.2. Conservation of Momentum 8.3. Collisions, Coefficient of Restitution 9. Rotation 9.1. Definition of torque 9.2. Second Condition of Equilibrium 9.3. Center of Gravity 10. Dynamics of Rotation 10.1. Kinematics of Rotation 10.2. Dynamics of Rotation 10.3. Center of Gravity 11. Elasticity 11.1. Hooke’s Law 11.2. Stress and Strain 11.3. Modulus of Elasticity 12. Oscillations 12.1. Definition of Vibration Motion and Simple Harmonic Motion 12.2. Kinematics of Simple Harmonic Motion 12.3. Simple Pendulum Laboratory Equipment Physics Laboratory Course Name PHYSICS 2 Fluids; thermal expansion, thermal stress; heat transfer; calorimetry; waves; Course Description electrostatics; electricity; magnetism; optics; image formation by plane and curved mirrors; and image formation by thin lenses. Number of Units for 4 units: 3 units lecture, 1 unit laboratory Lecture and Laboratory Number of Contact Hours 6 hours: 3 hours lecture, 3 hours laboratory per Week Prerequisite Physics 1 After completing this course, the student must be able to: 1. Describe the characteristics of fluids at rest and in motion; 2. Compute the buoyant force on an object immersed in a fluid; Course Objectives 3. Compute the pressure and flow speed of a fluid at any point in a flow tube; 4. Determine the amount of expansion of a given material in relation to temperature change; 14 GEC and Basic Engineering Subjects 5. Determine the change in temperature of a given amount of material that loses or gains; 6. Solve problems about the law of heat transfer; 7. Describe the three methods of heat transfer; 8. Discuss the properties of waves; 9. Describe the modes of vibration of strings and air columns; 10. Solve problems on Doppler Effect; 11. Compute the electric force between electric charges; 12. Compute the electric field due to electric charges; 13. Compute the electric potential due to a charge and electric potential energy of charges; 14. Define electric current, electric resistance and voltage; 15. Solve problems on resistance and cells in series and parallel; 16. State Kirchhoff’s rules and apply them in a given circuit; 17. Compute the magnetic field of a given current-carrying conductors; 18. Compute the magnetic torque on a current conductor in a magnetic field; and 19. Describe image formation by mirrors and lenses. 1. Fluids 1.1. Pressure, Specific Gravity, Density 1.2. Archimedes’ Principle 1.3. Rate of Flow and Continuity Principle 1.4. Bernoulli’s Principle 1.5. Torricelli’s Theorem 2. Thermal Expansion, Thermal Stress 3. Heat Transfer 4. Calorimetry 4.1. Specific Heat 4.2. Law of Heat Exchange 4.3. Change of Phase 5. Waves 5.1. Types of Waves and Their Properties 5.2. Sounds 6. Electrostatics 6.1. Charge 6.2. Coulomb’s Law Course Outline 6.3. Superposition Principle 6.4. Electric Field Intensity 6.5. Work and Potential 6.6. Capacitors, Dielectrics 7. Electricity 7.1. Current 7.2. Resistance 7.3. EMF 7.4. Ohm’s Law 7.5. Energy and Power in Circuits 7.6. Series and Parallel Connections 7.7. Kirchhoff’s Rules 8. Magnetism 8.1. Magnetic Field of Moving Changes 8.2. Magnetic Filed of Current Element 8.3. Motion of a Charge in a Magnetic Field 8.4. Biot-Savart Law 8.5. Force on a Moving Charge in a Magnetic Field 15 GEC and Basic Engineering Subjects 8.6. Torque on a Current-Carrying Loop 9. Optics 9.1. Light as Electromagnetic Waves 9.2. Properties of Reflection and Refraction 10. Image Formation by Plane and Curved Mirrors 10.1. Graphical Methods 10.2. Mirror Equation 11. Image Formation by Thin Lenses 11.1. Graphical Methods 11.2. Lens Equation Laboratory Equipment Physics Laboratory C. BASIC ENGINEERING SCIENCES Course Name ENGINEERING DRAWING Practices and techniques of graphical communication; application of drafting instruments, lettering scale, and units of measure; descriptive geometry; Course Description orthographic projections; auxiliary views; dimensioning; sectional views; pictorial drawings; requirements of engineering working drawings; and assembly and exploded detailed drawings. Number of Units for 1 unit laboratory Lecture and Laboratory Number of Contact Hours 3 hours laboratory per Week Prerequisite None After completing this course, the student must be able to: 1. Understand the importance of technical drawing knowledge and skills as Course Objectives applied to the various areas of engineering; 2. Apply the basic concepts of technical drawing and sketching; and 3. Prepare technical drawings. 1. Engineering Lettering 2. Instrumental Figures 3. Geometric Construction 4. Orthographic Projection 5. Dimensioning Course Outline 6. Orthographic Views with Dimensions and Section View 7. Sectional View 8. Pictorial Drawing 9. Engineering Working Drawings 10. Assembly and Exploded Detailed Drawings 1. Drafting table 2. Drawing instruments 2.1. One 30-60 degree triangle Laboratory Equipment 2.2. One 45 degree triangle 2.3. One technical compass 2.4. One protractor 16 GEC and Basic Engineering Subjects Course Name COMPUTER FUNDAMENTALS AND PROGRAMMING Basic information technology concepts; fundamentals of algorithm Course Description development; high-level language and programming applications; computer solutions of engineering problems. Number of Units for 2 units laboratory Lecture and Laboratory Number of Contact Hours 6 hours laboratory per Week Prerequisite Second Year Standing After completing this course, the student must be able to: 1. Understand basic information technology concepts; 2. Use application software and the Internet properly; Course Objectives 3. Acquire proficiency in algorithm development using a high-level programming language; 4. Use the computer as a tool in engineering practice. 1. Introduction to Computers 1.1. Computer Organization 1.2. Number Systems and Data Representation 1.3. Application Software: Word Processing and Spreadsheet Course Outline 1.4. The Internet 2. Programming 2.1. Algorithm Development 2.2. Programming Fundamentals 1. Personal computer with: 1.1. Operating system 1.2. Word processing software Laboratory Equipment 1.3. Spreadsheet software 1.4. High-level programming language 1.5. Internet browser and Internet connection Course Name COMPUTER-AIDED DRAFTING Concepts of computer-aided drafting (CAD); introduction to the CAD Course Description environment; terminologies; and the general operating procedures and techniques in entering and executing basic CAD commands. Number of Units for 1 unit laboratory Lecture and Laboratory Number of Contact Hours 3 hours laboratory per Week Prerequisite Third Year Standing 17 GEC and Basic Engineering Subjects After completing this course, the student must be able to: 1. Define the terms related to computer-aided drafting systems; 2. Identify the important tools used to create technical drawings in CAD; Course Objectives 3. Create electronic drawings (e-drawing) using CAD; and 4. Appreciate the usefulness of the knowledge and skills in computer aided drafting as applied in his/her professional development. 1. Introduction to CAD Software 2. CAD Drawing 3. Snapping, Construction Elements Course Outline 4. Dimensioning 5. Plotting, Inputting Images 6. 3D and Navigating in 3D 7. Rendering 1. Personal computer with: 1.1. Operating system Laboratory Equipment 1.2. CAD software 2. Printer or plotter Course Name STATICS OF RIGID BODIES Force systems; structure analyses; friction; centroids and centers of gravity; Course Description and moments of inertia. Number of Units for 3 units lecture Lecture and Laboratory Number of Contact Hours 3 hours lecture per Week Prerequisites Physics 1, Integral Calculus After completing this course, the student must be able to: 1. Understand the principles of equilibrium of particles; 2. Undertake vector operations such as vector cross and dot product; 3. Determine forces of 2D and 3D structures; Course Objectives 4. Understand the principles of static, wedge and belt friction; 5. Determine centroids, center of mass and center of gravity of objects; 6. Determine moment of inertia, mass moment of inertia; and 7. Analyze the stresses of trusses, beams and frames. 1. Introduction to Mechanics; Vector Operations 2. Force Vectors and Equilibrium of Particles 3. Vector Cross and Dot Product 4. Moment of a Force 5. Couples; Moment of a Couple 6. Equivalent Force Systems in 2D and 3D Course Outline 7. Dry Static Friction, Wedge and Belt Friction 8. Centroid; Center of Mass; and Center of Gravity 9. Distributed Loads and Hydrostatic Forces; Cables 10. Moment of Inertia; Mass Moment of Inertia 11. Trusses; Frames and Machines; Internal Forces 12. Beams; Shear and Bending Moment Diagrams Laboratory Equipment None 18 GEC and Basic Engineering Subjects Course Name DYNAMICS OF RIGID BODIES Kinetics and kinematics of a particle; kinetics and kinematics of rigid bodies; Course Description work energy method; and impulse and momentum. Number of Units for 2 units lecture Lecture and Laboratory Number of Contact Hours 2 hours lecture per Week Prerequisite Statics of Rigid Bodies After completing this course, the student must be able to: 1. Understand the principles governing the motion of particles, velocity and acceleration; Course Objectives 2. Understand the principles of Newton’s Second Law and its applications; 3. Understand kinetics of particles in particular energy and momentum methods; and 4. Understand kinematics of rigid bodies, its energy and momentum. 1. Introduction to Dynamics 2. Position, Velocity, and Acceleration 3. Determination of the Motion of the Particles 4. Uniform Rectilinear Motion 5. Uniformly Accelerated Rectilinear Motion 6. Position Vector, Velocity, and Acceleration 7. Derivatives of Vector Functions 8. Rectangular Components of Velocity and Acceleration 9. Motion Relative to a Frame in Translation 10. Tangential and Normal Components 11. Radial and Transverse Components 12. Motion of Several Particles (Dependent Motion) 13. Kinetics of Particles: Newton’s Second Law 13.1. Newton’s Second Law of Motion 13.2. Linear Momentum of the Particle, Rate of Change of Linear Momentum 13.3. System of Units 13.4. Equation of Motion 13.5. Dynamic Equilibrium Course Outline 13.6. Angular Momentum of Particle, Rate of Change of Angular Momentum 13.7. Equations in Terms of Radial and Transverse Components 13.8. Motion Under a Central Force 14. Kinetics of Particles: Energy and Momentum Methods 14.1. Work of Force 14.2. Kinetic Energy of a Particle, Principle of Work and Energy 14.3. Applications of the Principle of Work and Energy 14.4. Potential Energy 14.5. Conservative Forces 14.6. Conservation of Energy 14.7. Principle of Impulse and Momentum 14.8. Impulsive Motion 14.9. Impact 14.10. Direct Central Impact 14.11. Oblique Central Impact 14.12. Problems Involving Energy and Momentum 15. Systems of Particles 15.1. Application of Newton’s Second Laws to Motion of a System of 19 GEC and Basic Engineering Subjects Particles 15.2. Linear and Angular Momentum of a System of Particles 15.3. Motion of Mass Center of a System of Particles 15.4. Angular Momentum of a System of Particles About Its Mass Center 15.5. Conservation of Momentum for a System of Particles 15.6. Kinetic Energy of a System of Particles 15.7. Work-Energy Principle. Conservation of Energy for a System of Particles 15.8. Principle of Impulse and Momentum for a System of Particles 16. Kinematics of Rigid Bodies 16.1. Translation 16.2. Rotation About a Fixed Axis 16.3. Equations Defining the Rotation of a Rigid Body About a Fixed Axis 16.4. General Plane Motion 16.5. Absolute and Relative Velocity in Plane Motion 16.6. Instantaneous Center of Rotation in Plane Motion 16.7. Absolute and Relative Acceleration 16.8. Rate of Change of a Vector with Respect to a Rotating Frame 16.9. Plane Motion of a Particle Relative to a Rotating Frame; Coriolis Acceleration 16.10. Motion About a Fixed Point 16.11. General Motion 16.12. Three-Dimensional Motion of a Particle Relative to a Rotating Frame; Coriolis Acceleration 16.13. Frame of Reference in General Motion 17. Plane Motion of Rigid Bodies: Forces and Accelerations 17.1. Equation of Motions 17.2. Angular Momentum of a Rigid Body in Plane Motion 17.3. Plane Motion of a Rigid Body. D’ Alembert’s Principle 17.4. Solution of Problems involving the Motion of a Rigid Bodies 17.5. Systems of Rigid Bodies 17.6. Constrained Plane Motion 18. Plane Motion of Rigid Bodies: Energy and Momentum Methods 18.1. Principle of Work and Energy for a Rigid Body 18.2. Work of Forces Acting on a Rigid Body 18.3. Kinetic Energy of a Rigid Body in Plane Motion 18.4 Systems of Rigid Bodies 18.5 Conservation of Energy 18.6 Principle of Impulse and Momentum 18.7 Conservation of Angular Momentum 18.8 Impulsive Motion 18.9 Eccentric Impact Laboratory Equipment None Course Name MECHANICS OF DEFORMABLE BODIES Axial stress and strain; stresses for torsion and bending; combined stresses; Course Description beam deflections; indeterminate beams; and elastic instability. Number of Units for 3 units lecture Lecture and Laboratory Number of Contact Hours 3 hours lecture per Week 20 GEC and Basic Engineering Subjects Prerequisite Statics of Rigid Bodies After completing this course, the student must be able to: 1. Understand the concepts of stress and strain; 2. Calculate stresses due to bending, shears, and torsion under plain and Course Objectives combined loading; 3. Analyze statically determinate and indeterminate structures; and 4. Determine the elastic stability of columns. 1. Load Classification 2. Concept of Stress, Normal and Shear Stress 3. Stresses under Centric Loading 4. Stress Concentration 5. Plane Stress 6. Principal Stresses for Plane Stress 7. Mohr’s Circle for Plane Stress 8. Deformations, Normal and Shear Strains 9. Material Properties 10. Working Stresses 11. Deformation in a System of Axially Loaded Members 12. Temperature Effects on Axially Loaded Members 13. Statically Indeterminate Members Course Outline 14. Thin-Walled Pressure Vessel 15. Torsional Stresses; Elastic Torsion Formula 16. Torsional Deformation; Power Transmission 17. Flexural Stresses by the Elastic Curve 18. Moment Equation Using Singularity Function 19. Beam Deflection by the Double Integration Method 20. Area Moment Theorems 21. Moment Diagram by Parts 22. Beam Deflection by Area Moment Method 23. Statically Indeterminate Beams 24. Buckling of Long Straight Columns 25. Combined Loadings 26. Analysis of Riveted Connections by the Uniform Shear Method 27. Welded Connections Laboratory Equipment None Course Name ENGINEERING ECONOMY Concepts of the time value of money and equivalence; basic economy study Course Description methods; decisions under certainty; decisions recognizing risk; and decisions admitting uncertainty. Number of Units for 3 units lecture Lecture and Laboratory Number of Contact Hours 3 hours lecture per Week Prerequisite Third Year Standing After completing this course, the student must be able to: Course Objectives 1. Solve problems involving interest and the time value of money; 2. Evaluate project alternatives by applying engineering economic principles 21 GEC and Basic Engineering Subjects and methods and select the most economically efficient one; and 3. Deal with risk and uncertainty in project outcomes by applying the basic economic decision making concepts. 1. Introduction 1.1. Definitions 1.2. Principles of Engineering Economy 1.3. Engineering Economy and the Design Process 1.4. Cost Concepts for Decision Making 1.5. Present Economy Studies 2. Money-Time Relationships and Equivalence 2.1. Interest and the Time Value of Money 2.2. The Concept of Equivalence 2.3. Cash Flows 3. Basic Economy Study Methods 3.1. The Minimum Attractive Rate of Return 3.2. The Present Worth Method 3.3. The Future Worth Method 3.4. The Annual Worth Method Course Outline 3.5. The Internal Rate of Return Method 3.6. The External Rate of Return Method 3.7. The Payback Period Method 3.8. The Benefit/Cost Ratio Method 4. Decisions Under Certainty 4.1. Evaluation of Mutually Exclusive Alternatives 4.2. Evaluation of Independent Projects 4.3. Depreciation and After-Tax Economic Analysis 4.4. Replacement Studies 4.5. Break win Analysis 5. Decisions Recognizing Risk 5.1. Expected Monetary Value of Alternatives 5.2. Discounted Decision Tree Analysis 6. Decisions Admitting Uncertainty 6.1. Sensitivity Analysis 6.2. Decision Analysis Models Laboratory Equipment None Course Name ENGINEERING MANAGEMENT Decision-making; the functions of management; managing production and Course Description service operations; managing the marketing function; and managing the finance function. Number of Units for 3 units lecture Lecture and Laboratory Number of Contact Hours 3 hours lecture per Week Prerequisite Third Year Standing After completing this course, the student must be able to: Course Objectives 1. Understand the field of engineering management; 2. Know and apply the different functions of management. 22 GEC and Basic Engineering Subjects 1. Introduction to Engineering Management 2. Decision Making 3. Functions of Management 3.1. Planning / Coordinating 3.2. Organizing 3.3. Staffing Course Outline 3.4. Communicating 3.5. Motivating 3.6. Leading 3.7. Controlling 4. Managing Product and Service Operations 5. Managing the Marketing Function 6. Managing the Finance Function Laboratory Equipment None Course Name ENVIRONMENTAL ENGINEERING Ecological framework of sustainable development; pollution environments: water, air, and solid; waste treatment processes, disposal, and management; Course Description government legislation, rules, and regulation related to the environment and waste management; and environmental management system. Number of Units for 2 units lecture Lecture and Laboratory Number of Contact Hours 2 hours lecture per Week Prerequisites General Chemistry After completing this course, the student must be able to: 1. Understand the various effects of environmental pollution; 2. Know the existing laws, rules, and regulations of the government on environmental issues; Course Objectives 3. Identify, plan, and select appropriate design treatment schemes for waste disposal; and 4. Understand the importance of waste management and its relevance to the engineering profession. 1. Ecological Concepts 1.1. Introduction to Environmental Engineering 1.2. Ecology of Life 1.3. Biogeochemical Cycles 1.4. Ecosystems 2. Pollution Environments Course Outline 2.1. Water Environment 2.2. Air Environment 2.3. Solid Environmental 2.4. Toxic and Hazardous Waste Treatment 3. Environmental Management System 3.1. Environmental Impact Assessment 3.2. Environmental Clearance Certificate Laboratory Equipment None 23 GEC and Basic Engineering Subjects Course Name SAFETY MANAGEMENT Evolution of safety management; safety terminology; safety programs adopted by high risk industries; hazards in the construction, manufacturing, gas and Course Description power plants, and other engineering industries and how to prevent or mitigate them; techniques in hazard identification and analysis in workplaces; off-the-job safety; disaster prevention and mitigation; and incident investigation. Number of Units for 1 unit lecture Lecture and Laboratory Number of Contact Hours 1 hour lecture per Week Prerequisites Third Year Standing After completing this course, the student must be able to: 1. Understand the importance and the value of safety; Course Objectives 2. Know the health hazards and their prevention; 3. Identify and mitigate or prevent hazards; and 4. Apply the concepts and principles of safety in engineering practice. 1. Overview of Safety 2. Basic Safety Procedures in High Risk Activities and Industries 2.1. Procedure in Hazards Analysis in the Workplace 2.2. Control of Hazardous Energies 2.3. Confined Space Entry 2.4. Basic Electrical Safety 2.5. Fall Protection 2.6. Barricades and Scaffolds 2.7. Fire Safety and the Fire Code 2.8. Industrial Hygiene 2.9. Hazard Communication and Chemical Safety Course Outline 3. Value Based Safety and Off-the-Job Safety 3.1. Safety as a Value; Choice vs. Compliance 3.2. Off-the-Job Safety (Residences and Public Places) 3.3. Safety as Related to Health Practices 4. Disaster Prevention and Mitigation 4.1. Rationale for Disaster Prevention and Loss Control 4.2. Planning for Emergencies 4.3. Emergency Response Procedures 5. Incident Investigation and Reporting 5.1. Accident Escalation, Incident Investigation and Reporting 5.2. Causal Analysis; Recognition of Root Cause 5.3. Identification of Corrective or Preventive Actions Laboratory Equipment None 24 GEC and Basic Engineering Subjects . ALLIED SUBJECTS Course Name: ADVANCED ENGINEERING MATHEMATICS (FOR ECE) A study of selected topics in mathematics and their applications in advanced courses in engineering and other allied sciences. It covers the study of Complex numbers and complex variables, Laplace and Inverse Course Description Laplace Transforms, Power series, Fourier series, Fourier Transforms, z- transforms, power series solution of ordinary differential equations, and partial differential equations. Number of Units for 3 lecture units Lecture and Laboratory Number of Contact Hours per week 3 hours/week Prerequisite Differential Equations After completing this course, the student must be able to: - To familiarize the different parameters, laws, theorems and the different methods of solutions in advance mathematics. Course Objectives - To develop their abilities on how to apply the different laws, methods and theorems particularly in complex problems. 1.Complex numbers and complex variables 2.Laplace and Inverse Laplace Transforms 3.Power Series 4.Fourier Series Course Outline 5.Fourier Transforms 6.Power Series solution of differential equations 6.1 Legendre Equation 6.2 Bessel Equations 7. Partial Differential Equations Laboratory Equipment none Course Name: DISCRETE MATHEMATICS This course deals with logic, sets, proofs, growth of functions, theory of Course Description numbers, counting techniques, trees and graph theory. Number of Units for 3 units Lecture Lecture and Laboratory Number of Contact 3 hours /week Hours per week Prerequisite College Algebra Upon completion of the course, the student must be able to: prove theorems and using logic demonstrate knowledge of the basic concepts of discrete mathematics. Course Objectives apply counting techniques in calculation of discrete probabilities. use trees and graph theory in dealing with discrete mathematics problems. exhibit awareness of issues related to the computer engineering applications of discrete mathematics. 25 GEC and Basic Engineering Subjects Logic, Sets, Proofs, and Functions Algorithms, Integers and Matrices Growth of Functions Complexity of Algorithms Number Theory Course Outline Matrices Counting Techniques Relations Graph Theory Trees Introduction to Modeling Computation Laboratory Equipment none Course Name: BASIC THERMODYNAMICS Course Description A course dealing with the thermodynamic properties of pure substances, ideal and real gases and the study and application of the laws of thermodynamics in the analysis of processes and cycles. It includes introduction to vapor and gas cycles. Number of Units for 2 units lecture Lecture and Laboratory Number of Contact 2 hours/ week Hours per week Integral Calculus, Physics 2 Prerequisite To give the students a good background on the principles underlying the Course Objectives utilization of energy in the thermal systems; open and closed systems; and introduction to gas and vapor cycles. 1. Introduction 2. Basic Principles, Concepts and definition Course Outline 3. First Law of Thermodynamics 4. Ideal Gases/ Ideal Gas Laws 5. Processes of Ideal Gases 6. Properties of Pure Substance 7. Processes of Pure Substance 8. Introduction to cycle analysis: Second Law of Thermodynamics 9. Introduction to Gas and vapor cycles Laboratory Equipment None Course Name FUNDAMENTALS OF MATERIALS SCIENCE AND ENGINEERING Course Description Structure and composition of materials (metals, polymers, ceramics and composites). Processing, properties and behavior in service environments. No. of Units for Lecture 3 units lecture and Laboratory No. of Contact Hours per 3 hours lecture week Prerequisites General Chemistry, Physics 2 At the end of the course the student must be able to: 1. Identify the importance of materials to mankind through specific examples Course Objectives of materials which have had significant impact to civilization 2. Identify the different ways of classifying various materials 26 GEC and Basic Engineering Subjects 3. Identify the different material properties and how these are affected by the composition and structure 4. Determine the ways by which material properties can be engineered or modified to meet certain requirements related to their intended use 5. Select the appropriate material(s) for a given application 6. Evaluate feasibility of designs based on material considerations 1. Introduction (1) 2. Atomic structure and interatomic bonding (2) 3. Atomic arrangement in solids (4) 4. Structural imperfections and diffusion (5) 5. Electronic structures and processes (3) 6. Metals and their properties (4) Course Outline 7. Polymers and their properties (2) 8. Ceramics and their properties (4) 9. Composite materials (3) 10. Materials selection and design considerations (3) 11. Economic, Environmental and Societal Issues in Materials Science and Engineering Laboratory Equipment None Course Name: ECE LAWS, CONTRACT AND ETHICS Contracts; warranties; liabilities; patents; bids; insurance; other topics on the Course Description legal and ethical positions of the professional engineer. Number of Units for 3 units lec Lecture and Laboratory Number of Contact Hours per week 3 hours lec th 5 Year Standing Upon completion of the course, the student must be able to: 1. To define, enumerate, and understand the concept of the different laws that governs the ECE profession. Course Objectives 2. To apply the laws to a given situation and know the rights and obligations of the parties. 3. Learn the intricacies of obligations and contracts. 1. Fundamentals of the Laws, Obligations and Contracts 2. Pledge of ECE, RA 5734 & CSC Guidelines 3. The Board Examination 4. Regulating the ECE Profession(PRC) 5. Practicing the ECE Profession 6. Other ECE Related Statutes Course Outline 6.1 TELECOMMS Interconnection 6.2 IECEP 6.3 RA 9292 6.4 International Professional Practice 6.5 ASEAN & APEC Registry 6.6 Engineering Institutions Laboratory Equipment 27 GEC and Basic Engineering Subjects Course Name: CIRCUITS 1 Fundamental relationships in circuit theory, mesh and node equations; Course Description resistive networks, network theorems; solutions of network problems using Laplace transform; transient analysis; methods of circuit analysis. Number of Units for 3 units lecture, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Physics 2, Integral Calculus, Pre-requisite Co-requisite -Differential Equations Upon completion of the course, the student must be able to: 1. Know the different dc circuit parameters and components 2. Solve problems in application of the different principles, theorems and laws in dc circuits. 3. Help the students better understanding the basic principles correctly and confidently. 1. Develop analytical skills in electric circuit analysis. 1. Fundamental Relationship in Circuit Theory 2. Resistive Network 3. Mesh and Node Equations 4. Network Theorems Course Outline 5. Transient Analysis 6. Solution of Network Problems Using Laplace Transform 1. Methods of Analysis for Special Circuits DC Training Module that can perform the following experiments: 1. Familiarization with DC Equipment 2. Parallel & Series connection of linear resistors 3. Delta-Wye transformation of resistive networks 4. DC power measurement Laboratory Equipment 5. Kirchhoff’s Law 6. Superposition Law 7. Thevenin’s Theorem 8. 8Bridge circuits 9. RC/RL Time constant curve 10. Maximum Power Transfer Course Name: CIRCUITS 2 Complex algebra and phasors; simple AC circuits, impedance and admittance; mesh and node analysis for AC circuits; AC network theorems; power in AC Course Description circuits; resonance; three-phase circuits; transformers; two-port network parameters and transfer function. Number of Units for 3 units lecture, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Circuits 1 28 GEC and Basic Engineering Subjects Upon completion of the course, the student must be able to: 1. Know the different ac circuit parameters and components Course Objectives 2. Solve problems involving single phase and three- phase system 3. Develop analytical skills in ac electric circuit analysis 1. Complex Algebra and Phasors 2. Impedance and Admittance 3. Simple AC Circuits 4. Transformers 5. Resonance 6. Mesh and Node Analysis for AC Circuits 7. AC Network Theorems 8. Power in AC Circuits 9. Three-Phase Circuits 10. Two-Port Network Parameters and Transfer Function Laboratory Equipment 1. AC Training Module that can perform the following experiments: 2. Familiarization with AC instruments 3. Impedance of RC circuits 4. Impedance of RLC circuits 5. Power dissipation in AC circuits 6. Measurement of Power Factor 7. Three Phase circuit 8. Power in 3-phase balanced load 9. Transformer 10. Frequency response of RL and RC 11. Maximum Power transfer Course Name: ELECTRONIC DEVICES AND CIRCUITS Introduction to quantum mechanics of solid state electronics; diode and transistor characteristics and models (BJT and FET); diode circuit analysis Course Description and applications; transistor biasing; small signal analysis; large signal analysis; transistor amplifiers; Boolean logic; transistor switch. Number of Units for 3 unit lecture, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Physics 2; Integral Calculus Upon completion of the course, the student must be able to: Course Objectives 1. Acquire a strong foundation on semiconductor physics; diode and diode circuit analysis; MOS and BJT (small and large signal) circuit analysis. 29 GEC and Basic Engineering Subjects 2. Orientation: Review of Course 3. Assessment of the Different Types of Learners 4. Fundamentals of tubes and other devices 5. Introduction of Semiconductors 6. Diode Equivalent Circuits 7. Wave Shaping Circuits 8. Special Diode Application 9. Power Supply And Voltage Regulation 10. Bipolar Junction Transistor 11. Small- Signal Analysis (BJT) 12. Field Effect Transistor 13. Small-Signal Analysis (FET) 14. Large-Signal Analysis Electronics Training Module or set of equipment and components that can perform the following experiments: 1. Solid state Diode familiarization 2. Diode Applications 3. Transistor familiarization Laboratory Equipment 4. Transistor applications 5. JFET familiarization and characteristic curves 6. BJT familiarization and characteristic curves 7. Pre-amplifiers Recommended List of Equipment: 1. Power Supplies 2. Signal Generator 3. Oscilloscope 4. Curve Tracer 5. Digital Multimeter Course Name: ELECTRONIC CIRCUITS ANALYSIS AND DESIGN High frequency transistor models; analysis of transistor circuits; multi-stage amplifier, feedback, differential amplifiers and operational amplifiers; integrated Course Description circuit families (RTL, DTL, TTL, ECL, MOS) Number of Units for 3 unit lecture, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Electronics Devices and Circuits Upon completion of the course, the student must be able to: 1. Review the basic electronics learned in Electronics 1. 2. Analyze different circuits and models at high frequency. 3. Analyze and solve problems with regards to transistor circuits. Course Objectives 4. Define an operational amplifier. 5. Analyze combinational and sequential devices for logic circuits. 6. Familiarize with the integrated circuit families. 30 GEC and Basic Engineering Subjects 1. Introduction and Review of Logarithms and Decibels 2. BJT Lower Critical Frequency Response 3. JFET Lower Critical Frequency Response 4. BJT Higher Critical Frequency Response 5. JFET Higher Critical Frequency Response 6. Cascade and Cascode Connection 7. CMOS Circuit, Darlington and Feedback Pair Connection 8. Current Mirrors and Current Source 9. Differentials Amplifier 10. Introduction to Operational Amplifier 11. Practical Operational Amplifier 12. Operational Amplifier Specification 13. Introduction to Feedback System Course Outline 14. Feedback Connections and Practical Feedback Circuits 15. Negative Feedback System 16. Positive Feedback 17. Introduction to Oscillator 18. RC Feedback Oscillator Circuits 19. LC Feedback Oscillator Circuits 20. Other Types of Oscillator 21. Introduction to Filters 22. Designing Filters 23. Types of Filters 24. Transistor Fabrication 25. Designing Integrated Circuit Families Electronics Training Module or set of equipment and components that can perform the following experiments: 1. Frequency response of a transistor amplifier 2. Cascaded transistor amplifier 3. The differential amplifier 4. The operational amplifier Laboratory Equipment 5. The transistor as a switch 6. Familiarization with digital circuits 7. Filters Recommended List of Equipment: 1. Power Supplies 2. Signal Generators 3. Oscilloscope 4. Digital Multimeter 5. Spectrum Analyzer 6. Logic Analyzer Course Name: INDUSTRIAL ELECTRONICS Theory and operating characteristics of electronic devices and control circuits for Course Description industrial processes; industrial control applications; electronics instrumentation; transducers; data acquisition system, power supply and voltage regulator Number of Units for 3 unit lecture, 1 unit lab Lecture and Laboratory Number of Contact Hours 3 hours lec, 3 hours lab per week Prerequisite Electronic Circuit Analysis and Design 31 GEC and Basic Engineering Subjects Course Objectives Upon completion of the course, the student must be able to understand various electronic power controls and understand how they are designed and their applications. 1. Filtered Power Supply 2. Voltage Multiplier 3. Voltage regulators 3.1Automatic Voltage Regulators 4. Polyphase Rectifiers 5. SCRs 6. UJT 7. PUT Course Outline 8. TRIAC, DIAC and other thyristors 9. Optoelectronic Devices and Sensors 10. Automatic Welding System 11. Transducers 12. Interfacing techniques 12.1 Introduction to Programmable Logic Circuits 13. Introduction to Robotics Electronics Training Module or set of equipment and components that can perform the following experiments: 1. Filters 2. Voltage Multiplier 3. Voltage Regulator 4. SCR 5. UJT Laboratory Equipment 6. TRIAC, DIAC and other thyristors 7. Application of power electonics devices e.g IGBT, thyristors 7.1 Motor Speed Controls 7.2 Automatic Welding Controls 8. Design Project Recommended List of Equipment: Power Supplies, Signal Generator, Oscilloscope, Curve Tracer, Digital Multimeter. Course Name: VECTOR ANALYSIS This course deals with vector algebra, vector calculus, vector analysis, and their Course Description applications. Number of Units for 3 units lec Lecture and Laboratory Number of Contact Hours per week 3 hours lec Prerequisite Integral Calculus Upon completion of the course, the student must be able to: 1. perform algebraic operations on vectors 2. deal with vector quantities in cartesian, cylindrical and spherical coordinate Course Objectives systems. 3. obtain the divergence, gradient and curl of vectors 4. prove vector analysis identities 5. apply vector analysis in deriving basic physical vector quantities and solving problems. 32 GEC and Basic Engineering Subjects 1. Algebra of Vectors 2. Equality of Vectors, Addition, Subtraction, Scalar Product, 3. Vector Product 4. Vector and Scalar Functions of one variable 5. Calculus of Vectors and vector identities 6. Derivative of a vector function 7. Directional Derivative, The ―del‖ operator Course Outline 8. Gradient, Divergence, Curl 9. Line Integral 10. Surface Integral 11. Volume Integral 12. Integral Theorems 13. Green's Lemma 14. Divergence Theorem 15. Stokes' Theorem 16. Applications Laboratory Equipment None Course Name: ELECTROMAGNETICS This course deals with electric and magnetic fields, resistive, dielectric and Course Description magnetic materials, coupled circuits, magnetic circuits and fields, time-varying electromagnetic fields, and Maxwell’s equations. Number of Units for 3 units lec Lecture and Laboratory Number of Contact Hours per week 3 hours lec Prerequisite Vector Analysis, Physics 2, Integral Calculus Upon completion of the course, the student must be able to: 1. define electromagnetic quantities Course Objectives 2. write the expressions for and explain Maxwell’s equations 3. apply Maxwell’s equations in solving electromagnetic problems 4. identify and observe safety measures relating to Electromagnetic fields. 1. Introduction to Vector Analysis 2. Steady Electric and Magnetic Fields 3. Dielectric and Magnetic Materials Course Outline 4. Coupled and Magnetic Circuits 5. Time-Varying Fields and Maxwell’s Equation 6. Field and Circuit Relationships 7. Transmission Lines Laboratory Equipment Course Name: SIGNALS SPECTRA, AND SIGNAL PROCESSING Fourier transform; z transform; convolution; FIR filters; IIR filters; random Course Description signal analysis; correlation functions; DFT; FFT; spectral analysis; applications of signal processing to speech, image, etc. 33 GEC and Basic Engineering Subjects Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Probability and Statistics, Prerequisite Advanced Engineering Mathematics for ECE Upon completion of the course, the student must be able to conceptualize, Course Objectives analyze and design signals, spectra and signal processing system. 1. Classification and Characteristics of signals 2. Sampling theorem and Aliasing 3. Difference equations for FIR and IIR filters 4. Convolution and correlation Course Outline 5. Z transforms 6. Pole-zero-gain filters 7. Fourier transforms 8. Filtering FIR/IIR Training module in signal processing or equivalent to perform the following experiments: Laboratory Equipment 1. Periodic Signals 2. Non-periodic Signals 3. Computation of Transforms 4. Sampling and Quantization 5. Measurements on Filter Response 6. FIR Filter Analysis and Design 7. IIR Filter Analysis and Design 8. Project 9. Software requirement: Signal Processing Course Name: ENERGY CONVERSION Principles of energy conversion and transducers: electromechanical, photoelectric, photovoltaic, thermoelectric, piezzoelectric; hall effect; reed Course Description switch; electrochemical, etc; generators, transformers; dynamic analysis, and fuel cells. Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Electromagnetics, Circuits 2 The objective of the course is to introduce the concepts of energy conversion Course Objectives using transducers and be able to familiarize the students with the several applications of these devices. 1. Principles of Electromechanical Energy Conversion 2. DC Motor 3. DC Generator Course Outline 4. Transformers 5. AC Generator 6. AC Motor 34 GEC and Basic Engineering Subjects Training module in Energy Conversion or equivalent to perform the following experiments: 1. DC Power Supply Laboratory Equipment 2. Variac 3. AC & DC Motors 4. Photovoltaic/photoelectric transducers (i.e. solar cells,) 5. Thermoelectric transducers 6. Piezzoelectric transducers 7. Electrochemical transducers 8. Electromechanical transducers 9. Transformers (fixed & multitap/multiwinding) 10. Inverters/UPS Course Name: PRINCIPLES OF COMMUNICATIONS Bandwidth; filters; linear modulation; angle modulation; phase locked loop; pulse Course Description modulation; multiplexing techniques; noise analysis; radio transmitters and receivers. Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Electronic Circuits Analysis and Design, Advanced Engineering Mathematics for Prerequisite ECE Upon completion of the course, the student must be able to 1. Conceptualize and analyze a communication system. Course Objectives 2. design communication circuits and subsystems 1. Introduction to Communications Systems 2. Noise 3. Amplitude Modulation 4. Single-Sideband Techniques 5. Frequency Modulation Course Outline 6. Radio Receivers 7. Radiation and Propagation of Waves 8. Pulse Modulation 9. Digital Modulation 10. Broadband Communication System Training modules in Analog Communications or equivalent to perform the following experiments: 1. Passive, Active Filters, Tuned Circuits 2. AM Transmitter Laboratory Equipment 3. Frequency Modulation 4. Pulse Amplitude Modulation 5. Diode Detection 6. Time Division Multiplexing 7. Frequency Division Multiplexing 8. Suggested Project : superheterodyne receiver 35 GEC and Basic Engineering Subjects Course Name: LOGIC CIRCUITS AND SWITCHING THEORY Review of number systems, coding and Boolean algebra; inputs and outputs; gates and gating networks; combinational circuits; standard form; minimization; sequential circuits; state and machine equivalence; Course Description asynchronous sequential circuits; race conditions; algorithmic state machines; design of digital sub-systems. Number of Units for 3 units lec, 1 unit lab (4 credit units) Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Electronic Devices and Circuits Upon completion of the course, the student must be able to: 1. Define and identify important logic switching circuit theories and terminologist 2. Use Boolean Algebra in simplifying logic circuits and solving related problems Course Objectives 3. Apply minimization techniques in designing combinational circuits and in solving related problems Design combinational and/or sequential digital system or sub-system 1. Number System 2. Other Number System and Number Conversion System 3. Boolean Algebra and Logic Gates 4. Minimization of Boolean Functions Course Outline 5. Sequential Circuits 6. Algorithmic State Machine (ASM) 7. Asynchronous Sequential Logic Training modules or equivalent to perform the following experiments: 1. Diode digital logic gates Laboratory Equipment 2. Transistor digital logic gates 3. Integrated digital logic gates 4. Flip Flops 5. Registers 6. Counters (binary, ripple, decade, etc…) 7. Logic Circuit Project Design, construction and testing Course Name: NUMERICAL METHODS Numerical Methods deals with the study of direct and interative numerical methods in engineering, determination of error bounds in calculations, computation of series expansions, roots of algebraic and transcendental Course Description equations, numerical differentiation and integration, solution to simultaneous linear and non-linear equations, function approximation and interpolation, differential equations, optimization, and their applications. Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hour lab Advanced Engineering Mathematics, Prerequisite Computer Fundamentals and Programming 36 GEC and Basic Engineering Subjects Upon completion of the course, the student must be able to: 1. Estimate error bounds in numerical calculations 2. Evaluate series expansions 3. Solve differential equations 4. Perform interpolation of functions Course Objectives 5. Find the roots of equations 6. Solve simultaneous linear and nonlinear equations 7. Prepare algorithms, write computer programs, use computer software and implement these to the solution of engineering problems 8. Prove theorems using logic 1. Algorithms and their complexity 2. The growth of functions 3. Analysis of errors in numerical calculations 4. Evaluation of series expansion of functions 5. Roots of algebraic and transcendental equations 6. Simultaneous linear equations Course Outline 7. Simultaneous nonlinear equations 8. Function approximation and interpolation 9. Numerical Differentiation and Integration 10. Ordinary Differential Equations 11. Partial Differential Equations 12. Optimization Laboratory Equipment Computer programming and exercises using available software such as Matlab, Mathematica, Mathcad, or equivalent. Course Name: TRANSMISSION MEDIA AND ANTENNA SYSTEMS Transmission media; radiowave propagation wire and cable transmission systems; Course Description fiber-optic transmission system; transmission lines and antenna systems. Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Digital Communications, Electromagnetics Prerequisite Upon completion of the course, the student must be able to conceptualize, analyze and design transmission lines and antenna systems. 1. Describe the types of transmission lines and calculate the line constants. 2. Differentiate the types of radio wave propagation and be familiar with their Course Objectives applications. 3. Understand the principle and characteristics of antennas , the different types as well as the methodology in the design of each. 4. Be able to design and construct a wideband antenna ( VHF and UHF). 1. Transmission Lines Circuits, losses and parameters 2. Matching TL 3. Smith Chart 4. Radio Wave Propagation Course Outline 5. Power Density and Field Strength Calculations 6. Antenna Systems 7. Wave guides 8. Fiber Optics 37 GEC and Basic Engineering Subjects Training Modules in Transmission lines, antennas, microwave and Optical Fibre Communications Systems to perform the following laboratory exercises: 1. Transmission Lines 2. Antennas Laboratory Equipment 3. Measurement of Frequency, Wavelength, Phase Velocity in Waveguides 4. Generation of Microwaves 5. Detection of Microwaves 6. Attenuation measurement 7. Optical Fibre System: numerical aperture, attenuation, modal theory Course Name: MICROPROCESSOR SYSTEMS 1. The course covers concepts involving microprocessor/ microcontroller systems architecture/organization including microprocessor/microcontroller programming, interfacing techniques, memory systems and bus standards. 2. In the laboratory the students will be involved with experiments using micro Course Description controllers and the use of microprocessor/ micro controller development systems and other tools. Experiment topics include: assembly language programming topics, interfacing with input and output devices, data transfer between micro controller-based circuits and the PC via the serial port and parallel port. Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Logic Circuits and Switching Theory, Computer Fundamentals and Programming, Prerequisite Electronic Circuit Analysis and Design Upon completion of the course, the student must be able to: 1. explain the concepts behind microprocessor systems and their components 2. differentiate between microprocessors and microcontrollers, between microprocessors, and between microcontrollers based on architecture 3. develop programs to run on microprocessors/ micro controller systems using both assembly language and high-level language via cross-compilation 4. explain how to interface microprocessors/ microcontrollers to memory, I/O Course Objectives devices, and other system devices 5. explain the organization/architecture of existing computer systems (Ex. desktops, workstations, etc.) 6. analyze the capabilities of different processors 7. program a specific microcontroller system to accept input, process data and control physical devices 1. Architecture 2. Assembly Language Programming Building Microcomputer 3. I/Q Interface 4. Overview of Z8 Microcontroller Family; Z8 Development Environment Course Outline 5. Source Code Components; Target System Components and Z8 Connections; Basic Debugger Operations and Creating Programs 6. Creating Programs 7. Basic I/Q and Basic Programming 38 GEC and Basic Engineering Subjects 8. Speaker and Relays Interfacing; and One Time Programming 9. Interrupts and Hardware Timers 10. Seven Segment Display; and Analog Interface 11. Project Design Microcontroller/microprocessor trainers or equivalent, emulators, personal computers if not provided by trainer, include the following: 1 Assembler, cross-compiler, debugger Laboratory Equipment 2 Seven-segment or LCD displays 3 Switches and keypads 4 Motors with TTL-input drivers Suggested Project: An embedded system using a microcontroller demonstrating integration with I/O devices and communication with a PC. Course Name: FEEDBACK AND CONTROL SYSTEMS This course deals with time and frequency response of feedback control systems. The topics covered include, time response of first order and second order systems, modeling, transfer functions, pole-zero map, stability Course Description analysis, root locus, bode plots, compensators, PID controllers, and introduction to state-space techniques. Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Advanced Engineering Mathematics for ECE Upon completion of the course, the student must be able to: 1. familiar with various systems exhibiting control mechanisms and understand their operation 2. able to develop the value of being analytic and able to apply learned concepts Course Objectives to improve systems. 3. able to understand and appreciate feedback control. 4. able to apply system-level thinking 5. able to demonstrate knowledge of concepts in dealing with feedback and control systems 1. Introduction to FEEDCON and feedback control systems. 2. Control system terminology. 3. Review of the Laplace transforms. 4. Introduction to system modeling and the transfer function. 5. Introduction to LTI systems. 6. The concept of linearization. Course Outline 7. Poles and zeros of transfer functions. The pole-zero map. 8. Introduction to time response and different types of test signals. First-order LTI system transient response analysis. 9. Second-order LTI system transient response analysis 10. Block diagram representation of systems and block diagram algebra. 11. Signal flow graphs. 12. Stability theory. 39 GEC and Basic Engineering Subjects 13. Steady-state errors. 14. Sensitivity and Disturbance rejection. 15. Root Locus. 16. Controllers, Compensators, PID Controller 17. Frequency response analysis: Bode plot, Nyquist diagram, and Nichols chart. 18. Introduction to State-space concepts and applications. Laboratory Equipment Control system software Course Name: DIGITAL COMMUNICATIONS Random variables, bit error rate; matched filter; Digital modulation techniques; ASK, FSK, QAM, PSK/QPSK, CDMA and W-CDMA systems; signal space; generalized Course Description orthonormal signals; information measures-entropy; channel capacity; efficient encoding; error correcting codes information theory; data compression; coding theory. Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Principles of Communications Upon completion of the course, the student must be able to conceptualize, analyze Course Objectives and design a digital communication system. 1. Introduction to Digital Communications Systems 2. Digital Transmission 3. PAM, PWM, PPM 4. Pulse Code Modulation 5. Digital Communications ,ASK, FSK 6. Bandwidth Considerations for ASK, FSK, PSK, QAM Course Outline 7. Basics of Information Theory 8. Error Detection 9. FDM, TDM 10. WDM, Applications of Multiplexing 11. Multiple Access Channeling Protocols, FDMA,CDMA,TDMA Laboratory Equipment Digital Training Modules or equivalent to perform the following experiments. 1. PAM 2. Noise 3. FSK 4. ASK 5. PSK 6. PCM 7. Error Detection and Correction Suggested Project : A hardware or a computer simulation to illustrate the application of Digital Communications theory . 40 GEC and Basic Engineering Subjects Course Name: DATA COMMUNICATIONS Data communication systems; terminals, modems; terminal control units; multiplexers; concentrators; front-end processors; common carrier services; data Course Description communication system design; computer network models; TCP/IP principles; LAN; WAN; sample case studies Number of Units for 3 units lec, 1 unit lab Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Prerequisite Digital Communications Course Objectives Upon completion of the course, the student must be able to conceptualize, analyze and design a data communication system. 1. Introduction to Data Communications 2. Category of Data Communication 3. Configurations and Network Topology 4. Transmission Modes 5. Two-wire vs. Four Wire Circuits 6. Types of Synchronization 7. Network Components (Terminal, multiplexer, concentrators) 8. Network Components (LCU,FEP,Serial Interface) 9. Security 10. Cryptography 11. Open System Interconnection 12. System Network Architecture 13. TCP/IP Architecture 14. Character-Oriented Protocols 15. Bit-Oriented Protocols 16. LAN/MAN/WAN/GAN 17. ISDN/B-ISDN Laboratory Equipment Training modules in two wire and four wire circuits, modems, SDH, SONET Suggested design project in data communication system design and networking E. Suggested Free or Track Elective Track Subjects E-1COMMUNICATIONS Wireless Communication Communications System Design Navigational Aids Broadcast Engineering Advanced Electromagnetism (also for Micro electronics track) DSP Telemetry RF Design System Level Mixed Signals-Systems Level Digital Terstial XSM Compression Technologies E-2 MICROELECTRONICS TRACK 41 GEC and Basic Engineering Subjects Advanced Electromagnetism Introduction to Analog Integrated Circuits Design Introduction to Digital VLSI Design VLSI Test and Measurement IC Packaging and Failure Analysis Advanced Statistics (Also for Microelectronics track) Mixed Signals-Silicon Level RF Design-Silicon Level Advanced Statistics CAD-Tool Design Solid State Physics & Fabrication E-3 POWER ELECTRONICS TRACK Introduction to Power Electronics Power Supply Application Semiconductor Devices for Power Electronics Motor Drives and Inverters Modeling and Simulation* Digital Control System* Optoelectronics* Automotive Electronics* 3.1 E-4 BIOTECH/BIOMEDICAL ENGINEERING TRACK Biomedical Engineering Basic Course Digital Image Processing Principles of Medical Imaging Equipments Advanced Statistics (Also for Microelectronics track)* Telemetry* Optoelectronics* Embedded System* MEMS* NEMS* E-5 INSTRUMENTATION AND CONTROL* Mechatronics* Robotics* Modelling and Simulation* Digital Control System* Metreology* MEMS (also for Biotech/Biomedical Engineering track)* NEMS (also for Biotech/Biomedical Engineering track)* E-6 INFORMATION AND COMPUTING TECHNOLOGIES* Computer Systems* I/O Memory System* Computer Systems Architecture* Data Structure & Algorithm Analysis* Computer Systems Organizations* Structure of Program Language* Operating Systems* Digital Graphics, Digital Imaging and Animation* Artificial Intelligence* *Note: The School may adopt and develop course specification for each course. 42 GEC and Basic Engineering Subjects COURSE SPECIFICATION FOR SOME SUGGESTED ELECTIVE SUBJECTS E-1. COMMUNICATIONS WIRELESS COMMUNICATION Course Name: (COMMUNICATION TRACK ELECTIVE) Covers Signal Transmission Modes; Spread Spectrum Modulation System; Terrestrial Course Description Microwave; Satellite Systems; Satellite Multiple Access Techniques; Terrestrial and Satellite Systems Path Calculations and Link Budgets. Number of Units for Lecture and 3 units lec Laboratory Number of Contact Hours per week 3 hours lec Year and Term to Be th 4 Year Taken Prerequisite Transmission Media and Antenna Systems Upon completion of the course, the student must be able to conceptualize, analyze Course Objectives and design a wireless communication system. 1. Microwave communication system diagram and components Microwave Equipments: 2. Radio Equipments, Multiplexers, Antenna Towers and Waveguides 3. Microwave signal propagation and factors affecting the signal 4. Microwave Repeaters, Microwave Devices, and Microwave Tubes 5. Earth Bulge, Fresnel Zone, Contour Reading, Path Profiling, and Tower Course Outline Computations 6. System Gains and Losses 7. Link Budget and Path Calculations 8. System Reliability, Protection switching and Diversity 9. Satellite Communications, systems, techniques, link capacity and budget 10. VSAT, INTELSAT Laboratory Design Project: Microwave System Design Equipment COMMUNICATION SYSTEMS DESIGN Course Name: (Communication Track Elective) Communication systems analysis and design; operating performance and interface standards for voice and data circuits; telecommunications facility Course Description planning; outside plant engineering; surveying; switching and handling systems; mobile systems and standards; cellular radio systems (GSM and UMTS architecture) ; PSTN Number of Units for 3 units lec, 1 unit design 43 GEC and Basic Engineering Subjects Lecture and Laboratory Number of Contact Hours per week 3 hours lec, 3 hours design Year and Term to Be th 4 Year Taken Prerequisite Wireless Communications Course Objectives Upon completion of the course, the student must be able to conceptualize, analyze and design a communication system. 1. PSTN Components /Equipment 2. Switching Fundamentals 3. Signaling 4. Transmission Engineering (PDH,SDH) 5. Fiber Optic System; Power budget 6. Traffic Engineering Course Outline 7. PLMN 8. GSM Architecture, call flow 9. Cell Planning 10. Frequency Planning 11. Access Networks; Components 12. EML Calculation Laboratory Design Examples : Equipment Plate 1. Fiber optic Transmission and Network Cable Design Plate 2: GSM System Design ELECTRONIC NAVIGATIONAL AIDS Course Name: (COMMUNICATION TRACK ELECTIVE) Principles and theories of navigational systems for air, marine, and space; RADARs; directional finders (ADF), antenna systems, non-directional beacons (NDB), Course Description LORAN/DECCA/OMEGA systems, ILS and MLS; distance measuring equipment (DME); VHF Omni Range (VOR), and global positioning system (GPS). Number of Units for Lecture and 3 units lec Laboratory Number of Contact Hours per week 3 hours lec Year and Term to Be th 5 Year Taken Prerequisite Transmission Media and Antenna System Upon completion of the course, the student must be able to conceptualize, analyze Course Objectives and design an electronic navigational aid system. 44 GEC and Basic Engineering Subjects Course Outline 1. Fundamentals of Electronic Navigation 2. RDF/ADF 3. RADARs 4. Hyperbolic Navigational Systems (DECCA,OMEGA,LORAN) 5. Satellite Navigational Systems, GPS 6. Aircraft Navigation (VOR,DME, ILS, MLS) 7. Marine Navigation Laboratory Equipment none BROADCAST ENGINEERING Course Name: (COMMUNICATION TRACK ELECTIVE) Discusses operation of audio and video equipment including amplifiers, processors, audio/video mixers, distribution amps, TV cameras, microphones, monitors systems integration, studio electro-acoustics and lighting , TV and radio transmitters and Course Description propagation, coverage map calculation and frequency analysis, broadcast networking , broadcast ancillary services ( STL’s and satellite links). Also includes CATV technology and DTH. Number of Units for Lecture and 3 units lec, 1 unit lab Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Year and Term to Be st th 1 sem, 4 year Taken Prerequisite Transmission Media and Antenna System Upon completion of the course, the student must be able to: 1. To understand, identify and analyze the broadcast communications systems concepts, elements and applications. To differentiate the different broadcasting techniques such as AM, FM and TV. To design AM, FM and TV broadcasting network which includes coverage mapping and interference. To understand the principle and application of Acoustic system. To introduce digital broadcasting; Digital Television (DTV) and Digital Audio Broadcasting (DAB). Course Objectives 2. To designed AM, FM and TV station which includes the design of the following 2.1 Studio System. 2.2 Technical Operation Center (TOC) 2.3 Transmission System 2.4 Coverage mapping and prediction 2.5 Interference study 1. Introduction to AM Broadcasting System and Standards 2. AM Studio System design 3. AM Transmission System Design 4. AM Coverage Mapping and Prediction Course Outline 5. Introduction to FM Broadcasting System and Standards 6. FM Studio System Design 7. FM Transmission System Design 8. FM Coverage Mapping and Prediction 45 GEC and Basic Engineering Subjects 9. Introduction to TV Broadcasting System and Standards 10. RF System 11. NTSC-Color TV Broadcasting 12. TV Studio System Design 13. Studio Wiring Diagram 14. Technical Operation Center (TOC) System Design 15. TOC Wiring Diagram 16. Transmission System Design 17. TV Coverage Mapping and Prediction 18. Introduction to Engineering Acoustic 19. Room Acoustic 20. Microphones 21. Speakers Broadcast Training Modules to perform the following experiments: Laboratory 1 Sound level measurements Equipment 2 Microphones 3 Speakers 4 Characteristics of Mixers, Tone Controls, and Crossover Networks. 5 Design projects to cover at least two of the following areas : 6 AM or FM radio station 7 TV station 8 CATV ADVANCED ELECTROMAGETISM Course Name: (COMMUNICATION TRACK ELECTIVE, ALSO FOR MICRO ELECTRONICS TRACK) This course deals with the study of Maxwell’s equations, the propagation and Course Description transmission of electromagnetic waves in different media, and their applications. Number of Units for Lecture and 3 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 3 hours lec, 3 hours lab Year and Term to Be st th 1 sem, 4 year Taken Prerequisite Electromagnetics Upon completion of the course, the student must be able to apply electromagnetic Course Objectives principles in the radiation and propagation of electromagnetic waves in different media 1. Review of Maxwell’s Equations 2. Unguided Propagation of Electromagnetic Waves 3. Guided Electromagnetic Wave Propagation Course Outline 4. Transmission Lines 5. Resonant Cavities 6. Additional Topics. Laboratory Equipment 46 GEC and Basic Engineering Subjects E-2. MICROELECTRONICS TRACK INTRODUCTION TO ANALOG INTEGRATED CIRCUIT DESIGN Course Name: (MICROELECTRONICS TRACK) Focuses on Analog IC Fabrication processes, Analog device Modeling and Circuit Course Description simulation. Design and Characterization of Analog circuit building blocks such Amplifiers, Comparators, Operational Amplifiers and other analog systems. Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lec, 3 hours lab Year and Term to Be th 5 Year Taken Prerequisite Introduction of Digital VLSI Design Course Objectives Course Outline Laboratory Unix Workstation Equipment Cadence, Synopsis, Mentor Graphics design tools or equivalent HSPICE MathLab INTRODUCTION TO DIGITAL VLSI DESIGN Course Name: (MICROELECTRONICS TRACK) Focuses on the practice of designing VLSI systems from circuits to architectures and Course Description from sub-systems to systems. Top-down design techniques are taught using VHDL to design and model digital systems. Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lec, 3 hours lab Year and Term to Be th 5 Year Taken Prerequisite Electronics 3, Microprocessor Systems Upon completion of the course, the student must be able to provide an introduction to the design and layout of Very Large Scale Integrated (VLSI) circuits for complex digital systems. It covers custom design, cell-based hierarchical design, and algorithmic Course Objectives aspects of VLSI CAD tools for MOS with focus on CMOS technology. By the end of this course, the students will have designed, laid out and verified a CMOS device subsystem on engineering workstations in an associated laboratory. 47 GEC and Basic Engineering Subjects 1. Concepts, economics and trends of integrated circuits 2. CMOS technology and theory of operation 3. CMOS circuits and logic design 4. CMOS layout rules and techniques 5. CMOS circuit characterization and performance estimation Course Outline 6. Subsystem Design Approaches 7. FPGA, PLD, VHDL 8. VHDL techniques and design tools 9. VLSI system design methods 10. VLSI CAD tools Laboratory Unix Workstation Equipment Cadence, Synopsis, Mentor Graphics design tools or equivalent. VLSI TEST AND MEASUREMENT Course Name: (MICROELECTRONICS TRACK) Focuses on the concepts and applications of automated test systems to test integrated circuits. Topics include modules of industrial standard automated test Course Description system and testing methodologies of various semiconductor components and devices. Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lec, 3 hours lab Year and Term to Be th 4 Year Taken Prerequisite Introduction of Digital VLSI Design Upon completion of the course, the student must be able to 1. Provide a practical and useful information on ATE system architecture and functionality 2. Provide a solid understanding of device specifications Course Objectives 3. Give an understanding of how and why each DC, AC and Functional test is performed 4. Provide an understanding program flow and the trade-off of data collection vs. test time 5. Introduce DFT, BIST, Scan, Structural and Defect Oriented Testing. 1. Materials science of semiconductor devices: silicon, polymers (adhesives, molding compounds), metallization (aluminum, Pb-Sn, Au, BeCu, etc), FR-4, polyimide, etc. Course Outline 2. Packaging Technologies (Ceramic, Plastic) 3. Reliability Statistics (Weibull, Hazard function, etc) 4. Activation Energy 5. Bath Tub Curve 1. Bench Test Set-up Laboratory 2. Power Supplies Equipment 3. Parametric Analyzer 4. Logic Analyzer 5. Oscilloscope 6. Data Acquisition (LabView) 48 GEC and Basic Engineering Subjects IC PACKAGING AND FAILURE ANALYSIS Course Name: (MICROELECTRONICS TRACK) Semiconductor packaging and assembly technology. Background on semiconductor physics, reliability statistics, fault isolation and physical defect Course Description analysis techniques. Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lec, 3 hours lab Year and Term to Be th 5 Year Taken Prerequisite Introduction of Digital VLSI Design Upon completion of the course, the student must be able to introduces the students to the semiconductor assembly processes, material properties, packaging technology, and integrated circuit failure analysis. Students will learn about failure Course Objectives analysis methodology and techniques, failure modes, failure mechanism, and causes. 1. Materials science of semiconductor devices: silicon, polymers (adhesives, molding compounds), metallization (aluminum, Pb-Sn, Au, BeCu, etc), FR-4, polyimide, etc. 2. Packaging Technologies (Ceramic, Plastic) Course Outline 3. Reliability Statistics (Weibull, Hazard function, etc) 4. Activation Energy 5. Bath Tub Curve 1. Bench Test Set-up 2. Power Supplies 3. Parametric Analyzer 4. Logic Analyzer Laboratory Equipment 5. Oscilloscope 6. Data Acquisition (LabView) 7. MathCaD 6. SAS JMP INTRODUCTION TO POWER ELECTRONICS Course Name: (POWERELECTRONICS TRACK) This course introduces power electronics scope and application. The semiconductor devices for power electronics application are presented. Ideal switch model is used in the study of converter topologies. Fast recovery diodes are discussed for swtich-mode Course Description dc-dc converters and dc-to-ac inverters. Recent development on resonant-mode converter topologies for zero-loss switching is also comprehended.Swtich mode and uniterruptible power supplies are treated in details. Number of Units for Lecture and lecture - 4units Laboratory 49 GEC and Basic Engineering Subjects Number of Contact lecture - 3 hours Hours per week Prerequisite Basic Electronics, Electromagnetics Upon completion of the course, the student must be able to 1. discuss applications of power electronics 2. identify different types of electronic power supply Course Objectives 3. analyze various power supply designs 4. evaluate power supply performance 5. appreciate energy efficient of electronics power supply Fundamentals of Power Electronics 1. Semiconductors Switches 2. Passive Components for Electronics Power supply 3. Rectifiers Course Outline 4. Pase controlled rectifiers and converters 5. Switch-Mode Power Supply 6. Inverters 7. Resonant Converters 1. Spectrum Analyzer 2. Oscilloscope Laboratory Equipment 3. Signal Generator 4. Multi-meter Watt meter ELECTRONIC POWER SUPPLY DESIGN AND APPLICATION Course Name: (POWERELECTRONICS TRACK) This course is about various applications of power electronics. Discussion will Course Description consider design specification on power factor correction, motor control, illumination, and radio frequency interference and other residential and industrial application Number of Units for Lecture and lecture – 4units Laboratory Number of Contact lecture – 3 hours Hours per week Prerequisite Introduction to Power Electronics Upon completion of the course, the student must be able to 1. Explain and evaluate power supply specifications Course Objectives 2. Solve problems involving power supply requirements 3. Design motor drives for robotic application 4. Appreciate energy saving efficiency 50 GEC and Basic Engineering Subjects Power Supply Design and Application 1. Switching DC Power Supplies 2. Power Conditioners and uninterruptible Power Supply 3. DC Motor Drives 4. Synchoronous Motor Drives Course Outline 5. Step-Motor Drives 6. Servo-Motor System 7. Variable Frequency Motor Control 8. Harmonics and Eloectromagnetic Interference 9. Energy Efficiency 1. Spectrum Analyzer Laboratory 2. Oscilloscope Equipment 3. Multi-Meter, Clamp Meter 4. Watt Meter SEMICONDUCTOR DEVICES FOR POWER ELECTRONICS Course Name (POWERELECTRONICS TRACK) This course is about semiconductor device designed for power electronics Course Description application. The study will covers device design and fabrication Number of Units for Lecture and lecture – 4 units Laboratory Number of Contact lecture – 3 hours Hours per week Prerequisite none At the end of the course, the student must be able to: 1. Differentiate semiconductor power device structure from logic device Course Objectives 2. Explain different power devices characteristics and specifications 3. Analyze power devices behavior with associated passive components 4. Conduct basic power device testing 1. Basic semiconductor physics 2. Power semiconductor fabrication 3. Power Bipolar Junction Transistor 4. Power MOSFET Course Outline 5. Thyristors 6. Insulated Gate Bipolar Transistors 7. Recent Development on Power Semiconductor Device 8. Passive Components and materials. Laboratory Variac, Spectrum Analyzer, Distortion Meter, Oscilloscope, Multi-Meter, Clamp Meter, Equipment Watt Meter MOTOR DRIVES AND INVERTERS Course Name: (POWER ELECTRONICS TRACK) Focuses on the principles of operation of DC and AC motors; Inverter Drive AC Motor, Course Description Servo motor and control; High Frequency Generator and Control (Generation of high voltage using inverters and high frequency conversion and its control) 51 GEC and Basic Engineering Subjects Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lec, 3 hours lab Year and Term to Be th At Least 4 Year Taken Physics 2, Electromagnetics, Electronics 3, Energy Conversion; Microprocessor Prerequisite Systems. The students should be able to gain theoretical and practical insights into the Course Objectives principles of operations of motors and inverters and their controls. Course Outline Laboratory 1. DC Motors Equipment 2. AC Motors 3. Servo Motors and Controls 4. DC Power Supply E-4 BIOTECH/BIOMEDICAL ENGINEERING TRACK FUNDAMENTALS OF BIOMEDICAL ENGINEERING Course Name: (BIOMEDICAL ELECTRONICS TRACK) Review of the fundamentals of biology. Introduction to the concepts of human anatomy and medical terminology; pathology; applications of fluid mechanics, mass transfer; physiology, modeling and instrumentation; diagnostics and therapy; biomedical sensors and biomedical electronics; biomechanics; biomaterials; tissue Course Description engineering; prosthetics; biotechnology and genomics; bio-signals and their processing; ionizing radiation protection and safety; biomedical equipment, biomedical imaging; computerized tomography; ultrasound; magnetic resonance imaging; lasers; rehabilitation; societal issues in biomedical engineering. Number of Units for Lecture and 3 units lecture Laboratory Number of Contact Hours per week 3 hours lecture Year and Term to Be th 4 Year Taken Prerequisite Upon completion of the course, the student will: understand the terminology and basic concepts in biomedical engineering develop an appreciation for biomedical engineering and an awareness of the Course Objectives social issues involved in the profession. develop specific knowledge in different aspects of biomedical engineering such as biomechanics, prostheses, biomaterials, diagnostics and therapy, biomedical signals, bioelectronics, biomedical instrumentation, biomedical 52 GEC and Basic Engineering Subjects imaging and equipment … Introduction to Biomedical Engineering Bioelectricity, bio-potentials, electrophysiology Biomaterials and tissue engineering Biomechanics Physiological systems: cardiovascular, neuromuscular, respiratory… Mathematical Modeling Course Outline Transport processes: mass, fluid, energy, heat, oxygen Neural engineering and prostheses Biomedical signals and images, Biosensors, bio-optics Biomedical Instrumentation, Bioelectronics Biomedical imaging and Biomedical equipment Social Issues in Biomedical Engineering Laboratory Computers and Matlab software Equipment PHYSIOLOGY Course Name: (BIOMEDICAL ELECTRONICS TRACK) The objective of this course is to present the basic principles of human physiology which apply to homeostasis, cell membrane potentials and transport mechanisms, Course Description nerve and muscle, and heart and the circulatory system, microcirculation and the lymphatic system, the blood, the respiratory system, the renal system, the gastrointestinal system and the endocrine system. Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lec, 3 hours lab Year and Term to Be th 4 Year Taken Cell Biology and Genetics, Organic chemistry, Biochemistry, Cell biology and Prerequisite genetics, Anatomy Upon successful completion of this course, the student will: Understand the origin and importance of biopotentials Understand the mechanism and regulation of skeletal and smooth muscle contractions Understand cardiac function and regulation Understand the roles of blood and its flow, blood pressure and how they are regulated; basic functions of the components of the blood plasma; the Course Objectives processes that result in the coagulation of the blood Understand the cardiovascular system Understand biomedical applications to physiology such as EKG Understand the structure, function and operation of the microcirculation and the lymphatic system. Understand the structure, function, operation and control of the respiratory system Understand how oxygen is carried in the blood; how carbon dioxide is carried in the blood and the relationship between blood carbon dioxide content and plasma 53 GEC and Basic Engineering Subjects Understand the structure, function, operation and control of the renal system Understand the structure, function, operation and control of the gastrointestinal system Understand the function of the hormones of the pancreatic islets and their regulation of plasma glucose concentration Perform physiological experiments Functional organization of the human body o Cardiovascular o Circulatory o Respiratory o Endocrine o Gastrointestinal o Neuromuscular o Skeletal Course Outline Diffusion, osmosis and ion transport Membrane potentials and action potentials Skeletal muscle contraction and excitation Smooth muscle contraction and excitation Heart muscle and function EKG and cardiac abnormalities Circulation and Hemodynamics The microcirculation The lymphatic system Blood components Hemostasis and coagulation The respiratory system The respiratory system Oxygen transport by the blood Carbon dioxide transport by the blood and blood acid-base chemistry The kidneys The gastrointestinal system The liver Hormones of the pancreatic islets Other endocrine topics Laboratory equipment that can perform experiments on: Membrane potentials and nerve physiology Muscle physiology Cardiac Physiology Vascular physiology Noninvasive human measurements (EKG, bp, etc.) Laboratory Equipment Project: A project may involve computer simulation of physiologic processes. This project requires access to computers on which the programs can be run. A project may also be performed on living animals and recently sacrificed animals. This kind of project requires access to appropriate human and animal laboratory facilities, equipment and personnel Course Name: PRINCIPLES OF MEDICAL IMAGING 54 GEC and Basic Engineering Subjects (BIOMEDICAL ELECTRONICS TRACK) This course introduces the student to medical imaging. Topics include Electromagnetic Spectrum, Ultrasound Physics, Basic Atomic and Nuclear Physics; Principles of operation of X-ray machine and film developer, Computed Course Description Tomography Scan, Magnetic Resonance Imaging, Positron Emission Tomography, Gamma Camera, Ultrasound Machine. Image creation and its acquisition by equipment, and Nuclear Image processing. Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lec, 3 hours lab Year and Term to be th 4 Year Taken Fundamentals of Biomedical Engineering Prerequisite Physics, Electromagnetics, Biomedical Electronics Upon completion of the course, the student will: understand the principle of operation of various medical imaging techniques be familiar with Biomedical Imaging, Instrumentation, and equipment possess the skills necessary to function in an entry level biomedical engineer in medical imaging. This includes understanding how an image is created in Course Objectives each of the major imaging modalities including x-ray, computed tomography, magnetic resonance, ultrasound, and nuclear. implement common image processing methods and algorithms using software tools such as MATLAB Introduction to imaging Image processing: enhancement, restoration, feature extraction, modeling, recognition and interpretation Radiation X-ray imaging and fluoroscopy Course Outline Computed tomography Ultrasound imaging Magnetic resonance imaging Nuclear imaging including PET and SPECT New emerging imaging modalities Computer and MATLAB software Laboratory exercises on basic Image Processing operations Laboratory Exercises that allow the student to implement basic image processing Equipment techniques used in medical imaging. Project: students will also give a presentation related to medical imaging on a topic of their choice. BIOMECHANICS Course Name: (BIOMEDICAL ELECTRONICS TRACK) Course Description This course is an introduction to the biomechanics of human movement, with 55 GEC and Basic Engineering Subjects applications to occupational, rehabilitation, forensic and sports biomechanics. Topics covered include kinematics; anthropometry; kinetics; mechanical work, energy, and power; synthesis of human movement; muscle mechanics; and kinesiological electromyography. Number of Units for Lecture and lecture - 2 units, Laboratory – 1 unit Laboratory Number of Contact lecture - 2 hours Hours per week laboratory – 3 hours Fundamentals of Biomedical Engineering Prerequisite Mechanics and Dynamics Upon successful completion of this course, the student will: define the terms, anatomical axes, and planes associated with human movement understand the physiology associated with skeletal muscle contractions, strength evaluation, joint mechanics, energy requirements, and fatigue and the principles and use of electromyography as a biomechanics research tool Course Objectives define the design and behavior of the instrumentation, transducers, force plates, etc. used to collect and process human movement data develop 2-D link-segment models from basic anthropometric and kinematic data obtain inverse solutions of joint moments and reaction forces from kinematic and force plate data Review of muscle physiology Principles and use of electromyography Anthropometry Center of mass and stability Joint motion Linear and angular kinematics Course Outline Analysis of kinematic gait data Development and use of 2-D link-segment models to estimate joint moments, reaction and compressive forces Occupational biomechanics - NIOSH lifting equation, injury mechanisms Whole-body and segmental vibration Measurement and use of anthropometic data for the development of link- segment models Analysis of a Russell's traction apparatus using free-body analysis concepts Laboratory Exercises Development and presentation of a professional-quality poster session on a selected topic from the rehabilitation, forensic, or sports biomechanics literature Laboratory MATLAB Software Equipment Course Name: BIOMATERIALS 56 GEC and Basic Engineering Subjects (BIOMEDICAL ELECTRONICS TRACK) This course deals with the principles, which apply, to the properties and selection of different types materials used in medical applications. Topics include metals, Course Description ceramics, polymers, composites, biological tissues, wound healing, and the interaction between biological tissues and artificial materials. Number of Units for Lecture and 3 units lecture Laboratory Number of Contact Hours per week 3 hours lecture Year and Term to be th 4 Year Taken Fundamentals of Biomedical Engineering Prerequisite Biochemical terminology, Introductory human anatomy and physiology Basic atomic bonding, Basic thermodynamics, statics and strength of materials Upon successful completion of this course, the student will: describe the structure of solids as they relate to the use of engineering materials and the mechanical properties of typical engineering materials Interpret phase diagram and use them to understand typical material processing procedures such as heat-treatment describe the typical advantages and disadvantages of metals, polymers and ceramics as biomaterials describe typical processing techniques for metals, polymers and ceramics describe typical materials used in sutures, artificial heart valves, oxygenator membranes, pacemaker electrodes, dialyzer membranes, contact lens, Course Outline implantable lens, space filling implants, orthopedic implants, bone cements and dental implants describe the basic principles of tissue engineers and regenerative medicine describe the processes involved in wound healing describe the response of the human body to typical implants Basic mechanics; stress, strain, axial loading, bending and torsion Material properties; structure of solids, mechanical properties, corrosion/degradation of materials, material resting and ASTM specifications Metals; metallic bonding, metallic crystal structure, dislocations, strengthening mechanisms, phase diagrams, phase transformations, corrosion Ceramics; bonding and structure, degradation, fracture mechanics, piezoelectric properties, glass ceramics, apatite ceramics, carbon Polymers; polymerization process, polymer structure, viscoelastic behavior, degradation (6 classes) Properties and structure of tissues; collagen, elastin, calcium phosphate, composition and structure of various soft tissues, mechanical properties Principles of Tissue Engineering and regenerative medicine Tissue/Material Interaction; biocompatibility, surface properties, ASTM testing standards, effects of artificial materials on the body, effects of the body on artificial materials Applications of biomaterials science Laboratory None. Equipment 57 GEC and Basic Engineering Subjects BIOPHYSICAL PHENOMENA Course Name: (MEDICAL ELECTRONICS TRACK) This course presents the fundamental principles of classical thermodynamics, heat Course Description transfer, fluid mechanics, and mass transport and the application of these principles to the solution of problems with focus on biomedical engineering. Number of Units for Lecture and 2 units lecture, 1 unit lab Laboratory Number of Contact Hours per week 2 hours lecture, 3 hours lab Year and Term to Be th 4 Year Taken Prerequisite Fundamentals of Biomedical Engineering Upon successful completion of this course, the student will: define thermodynamics and give examples of problems that can be solved using thermodynamic principles state the First Law of thermodynamics and apply it to open and closed systems state the Second Law of thermodynamics and use it to solve engineering problems solve simple problems involving conductive and convective heat transfers use the principles of thermodynamics to solve relevant biomedical engineering problems solve problems involving buoyancy and Archimedes's principle define viscosity and describe Newtonian fluid behavior know the different methods for flow measurement Course Objectives solve classic and biomedical engineering problems using overall mass balances solve classic and biomedical engineering problems using mechanical energy balances solve classic and biomedical engineering problems using overall momentum balances setup classic and biomedical engineering problems using differential mass balances and equations of motion, and solve simple cases define mass diffusivity and apply Fick's law solve classic and biomedical engineering problems involving convective mass transfer describe common techniques for measuring pressure and flow use computers to solve fluid and mass transport problems 58 GEC and Basic Engineering Subjects Definition of thermodynamics and motivational examples First law in closed and open systems Properties of ideal and real pure substances Properties of gas and gas-vapor mistures First law applications Course Outline Second law, Entropy and applications Heat transfer by conduction and convection and applications Fluid statics, pressure measurement, and fluid dynamics Mass balance with biomedical applications Mechanical energy balance with biomedical applications Momentum balance with biomedical applications Flow measurement Mass balance with biomedical applications Energy balance Differential momentum balance and the Navier-stokes equations Solutions of the equations of motion and biomedical applications of these solutions Velocity distributions in practical flows Mass transfer and diffusion Convective mass transfer with biomedical applications Introduction to computerized solution of transport problems Laboratory Computers and Matlab software Equipment 3.1 OTHER SUGGESTED TRACK ELECTIVES E-5. INSTRUMENTATION AND CONTROL E-6 INFORMATION AND COMPUTING TECHNOLOGIES II. NON-TECHNICAL COURSES F. LANGUAGES Course Name ENGLISH 3 (TECHNICAL COMMUNICATION) The nature of technical communication; skills and strategies for reading and Course Description writing literature reviews, journal articles, and technical reports; making oral presentations. Number of Units for 3 units lecture Lecture and Laboratory Number of Contact 3 hours lecture Hours per Week English 1 Prerequisites English 2 59 GEC and Basic Engineering Subjects After completing this course, the student must be able to: 1. Differentiate technical writing from other types of writing; 2. Engage him/herself critically in the reading of a specialized text; 3. Write a summary and review of a journal article; Course Objectives 4. Write a research paper on a technical topic; and 5. Properly acknowledge sources by using a prescribed citation format; 6. Prepare an oral presentation on a technical topic; and 7. Deliver properly an oral technical presentation. 60