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					Mathematics 1 : Mathematics for General Education
COURSE DESCRIPTION: Fundamental concepts and applications of mathematics
CREDIT: 3 units
RGEP CLUSTER: MST
Division/College: Division of Natural Sciences and Mathematics/UPV Tacloban College
Campus: Tacloban
COURSE OBJECTIVES:
        1. To expose the students to some basic concepts, principles and theories of mathematics.
        2. To develop a level of understanding necessary for the appreciation of mathematics as a
language, an art, a science and as a way of thinking.

COURSE OUTLINE:

I. Some Preliminary Concepts (5 meetings)
        A. Sets
                1. Sets and Basic Notation
                2. Subsets and Special Sets
                3. Set Operations
        B. Logic
                1. Statements
                2. Rules of Deductive Reasoning
3. Truth and Validity

II. Number Systems (6 meetings)
       A. The Decimal System
       B. Numbers in Other Bases
               1. Changing base 10 to other bases and conversely
               2. Addition, subtraction, and multiplication of numbers in other bases
       C. The Real Number System
               1. Properties of Real Numbers
               2. Counting Numbers (Prime & Composite Nos.; Odd & Even Nos.; Divisibility; LCM;
                  GCF)
               3. Integers (Definition; Classifications; Factorization; Operations)
       D. Rational and Irrational Numbers
               1. Fractions (Reducing to lowest terms; Ordering; Operations; Changing fractions to
                  decimals)
               2. Irrational Numbers
       E. Scientific Notation
               1. Writing numbers using scientific notation
               2. Significant figures; rounding-off

III. Algebraic Expression (3 meetings)
         A. Operations of Algebraic Expressions
         B. Special Products and Factoring
         C. Simplification

IV. Linear Equations in One Variable and Applications (2 meetings)
        A. Solving Linear Equations in One Variable
        B. Word Problems

V. Geometry and Trigonometry (5 meetings)
      A. Lines and Planes
      B. Angles
      C. Triangle and their Properties
      D. Similarities and Congruences
       E. Areas, Perimeter and Volumes of Common Figures
       F. Trigonometry
               1. Trigonometric Functions
               2. Trigonometric Functions of Special Angles
               3. Applications of Trigonometry (Right Triangle Solutions)

VI. Calculus (6 to 7 meetings)
        A. Cartesian Coordinate System
        B. Functions
                1. Definition
                2. Domain and Range
                3. Operations of functions and Types of Functions
                4. Graphing Functions
        C. Limits of Functions
                1. The concept of Limit of a Function
                2. Basic Limit Theorems
        D. Derivatives
                1. Slope of a Tangent Line
                2. Instantaneous Velocity
                3. Derivatives of Functions (Simple Power Rule; Product & Quotient Rules; Related-
           Rate Problems)
        E. Integration
                1. Antiderivatives
                2. Definite Integral
                3. Area Under a Curve

VII. Statistics (4 meetings)
        A. Graphs
        B. Measure of Central Tendency
        C. Measures of Dispersion
        D. Percentiles. Quartiles, & Deciles
        E. Probability

TEACHING STRATEGY
Lecture-discussion, drills and board works

COURSE REQUIREMENTS
Quizzes and final examination

				
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posted:5/11/2013
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