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```									                                                                                                                              COMPARISON OF AOLS REQUIREMENTS TO
RYERSON AND YORK GEOMATICS COURSE EQUIVALENTS WITH DESCRIPTORS.
(NOTE: COURSES SHOULD BE CONFIRMED WITH THE CURRENT UNIVERSITY CALENDARS -ADDITIONAL COURSES MAY BE REQUIRED TO COMPLETE DEGREE REQUIREMENTS)

AOLS REQUIREMENTS                                                                                 RYERSON GEOMATICS COURSE EQUIVALENT(S)                                                                                                                                    YORK GEOMATICS COURSE EQUIVALENT(S)
Subject                 Description                                                                       #         Course                          Description                                                                                      #           Course                Description
CALCULUS                Derivatives; Integrals; The Fundamental Theorem of Calculus; Improper Integrals   MTH 140   CALCULUS I                      Limits, continuity, differentiability, rules of differentiation. Absolute and relative extrema, MATH 1013    APPLIED CALCULUS I    The first half of this course deals with differentiation and the second half with integration. Topics include derivatives of algebraic and transcendental functions, indefinite
and Limits; Introduction to Sequences and Series; Differential and Integral                                                 inflection points. Asymptotes, curve sketching, Applied max/min problems, related rates.                                           integrals, techniques of integration, the definite integral and its interpretation as an area. Tutorials may be offered, and "Mathlab" help will be available. The text will be
Calculus of Several Variables; Partial Differentiation, Chain Rule; Extremal                                                Definite and indefinite integral, Fundamental Theorem of Integral Calculus, Areas, volumes,                                        Varberg, Purcell and Rigdon, Calculus, 8th Ed. If available, secondhand or discounted, 6th or 7th editions of Varberg and Purcell would suffice for most purposes. All
Problems; Lagrange Multipliers; Classification of Critical Points; Multiple                                                 Transcendental functions (trigonometric, logarithmic, hyperbolic and their inverses).                                              students are expected to have a copy of the text.
Integrals; Green's Theorem.

MTH 240   CALCULUS II                     Integration Techniques, L’Hopital’s Rule, Improper Integrals.. Partial derivatives. Infinite     MATH 1014   APPLIED CALCULUS II   Applications of differential and integral calculus (e.g., maxima and minima, areas, volumes of revolution, moments and centroids, etc.), indeterminate forms, improper
sequences and series, power series. First-order differential equations, with applications,.                                        integrals, Taylor series, simple ordinary differential equations and an introduction to multivariate calculus. This course is a sequel to MATH 1013, and will use the same
textbook.

MTH 340   CALCULUS III                    Additional applications of Integration. Partial differentiation Unconstrained extrema and the
Hessian curve. Constrained extrema and Legrange multipliers. Curves and Surfaces. Multiple
integration. Line and surface integrals. Theorems of Gauss, Green and Stokes. Fourier series.
Laplace transforms and their application to second-order and other differential equations.

PHYSICS                 Newton's Laws of Motion and Applications to the Straight Line and Plane;          PCS 125   PHYSICS: WAVES &                Simple harmonic motion; motion of mechanical waves, wave speed, interference, standing           PHYS 1010   PHYSICS               Topics include linear, rotational and oscillatory motion; Newtonian mechanics; electrostatics; magnetostatics; electric current and induction; heat; geometric and physical
Dynamics of Rotational Motion; Periodic Motion; Equilibrium and Elasticity;                 FIELDS                          waves and resonance; ray and wave models of light and its reflection, refraction and                                               optics and sound. Differential and integral calculus and vector algebra are used. This course covers fewer topics than PHYS 1410 6.0, but covers them in greater depth. It
Gravitation; Fluid Mechanics; Temperature and Heat, Thermal Properties of                                                   interference; gravitational fields and potential energy; electric fields and potential energy;                                     should be taken by all those likely to enroll in 2000-level PHYS courses.
Matter, Fundamentals of Thermodynamics; Waves; Sound; Electric Charges and                                                  electric potential; magnetic fields.                                                                                               Motion in one, two and three dimensions. Newton’s laws. Work, energy, power. Momentum. Torque and rotational motion. Angular momentum.
Fields, Gauss's Law, Potential, Capacitance and Dielectrics, Current, Resistance,                                                                                                                                                                              Oscillations. Gravitation. Thermodynamics. Static electricity. Capacitance.
Direct-Current Circuits; Magnetic Field and Forces, Faraday's Laws,                                                                                                                                                                                            DC circuits. Magnetic fields. Electromagnetic induction.Waves and sound. Electromagnetic waves. Physical and geometrical optics. In addition, some concepts of modern
Electromagnetic Induction, Inductance, and Alternating Currents; Electromagnetic                                                                                                                                                                               physics are introduced interspersed throughout.
Waves, Propagation of Light, Optics and Optical Instruments, Interference and
Diffraction.

PCS 211   PHYSICS: MECHANICS              Vector forces: forces along a line, coplanar force systems - essentials of vector algebra in two PHYS 2020   ELECTRICITY AND       The elements of electric and magnetic fields are developed, together with dc and ac circuit theory and an introduction to electromagnetic waves.
and three dimensions. Moment of a force; moment of a couple; principle of moments. Free                      MAGNETISM             Coulomb’s law. Electric field.Gauss' law. Electric potential.Electrostatic energy. Capacitors and dielectrics.Current, resistance, ohm's law, dc circuits, q factor.Magnetic
body diagrams and equilibrium conditions. Centre of mass and centroids of bodies.                                                  fields. Biot-savart law.Ampere's law. Magnetostatic energy. Faraday's law. Magnetic materials. Inductance.
Rectilinear and curvilinear motion kinematics. Newton's laws and equations of motion.                                              AC circuits, rms relations, impedance. Displacement current.Maxwell's equations.
Friction. Work and Energy; Linear momentum and angular momentum.

PHYS 3050   ELECTRONICS I         Introduction to physical electronics including DC and AC circuit theory and network analysis; bandpass filters; introduction to the p-n junction and semiconductor devices:
diodes, DC power supplies, transistors, analysis and design of basic amplifiers, operational amplifiers. With laboratory exercises.
Electronic instruments and measurements DC and AC circuit analysis
Bandpass filters. The p-n junction and diodes. DC power supplies.
Transistors and basic amplifier circuits.Introduction to operational amplifiers

COMPUTING               Hardware: The Processor, The Computer Number System, Input and Output           CPS 125     DIGITAL COMPUTATION & The C programming language is used to develop good programming techniques. The C                   CSE 1020            INTRODUCTION TO       The course lays the conceptual foundation of object-oriented programming. Topics include data types, control structures, API usage, encapsulation, and other abstractions.
Devices, Main Memory and Secondary Storage Devices, Communication Devices                   PROGRAMMING           programming language is used to develop good programming techniques. Topics covered                                    COMPUTER SCIENCE I    The course also covers the software development process; composition and inheritance; and exception handling. Implementation is done in Java with emphasis on software
such as MODEMs. Software: The Operating System, Programming Languages                                             include C program form, language statements, pseudo-code algorithmic representation,                                                         engineering principles and coding style. This course is an introduction to the discipline; it is not a survey course. As such the emphasis is on the development of a theoretical
with emphasis on C or Fortran, Software Engineering Techniques, Data Structures                                   numeric data types, flow of control with selection and repetition, standard C libraries,                                                     conceptual foundation and the acquisition of the intellectual and practical skills required for further courses in computer science. The course is intended for prospective
and File Structures, Object-Oriented Techniques. Computer Networks: Local                                         functions and call modes, arrays, pointer arithmetic, sorting, matrix operations, character and                                              computer science and computer engineering majors, i.e. those with a well-developed interest in computing as an academic field of study and with strong mathematical,
Area Network (LANs), Wide Area Networks (WANs), Internet. Applications of                                         string data types, dynamic storage, structures and linked lists, file I/O. Only regular first year                                           analytical and language abilities; it is not intended for those who seek a quick exposure to applications or programming.
Computers in Surveying; Implications of Computers on Privacy and Security.                                        students from the Faculty of Engineering and Appied Science may preregister for this course.

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AOLS REQUIREMENTS                                                                              RYERSON GEOMATICS COURSE EQUIVALENT(S)                                                                                                                                  YORK GEOMATICS COURSE EQUIVALENT(S)
CSE 1030       INTRODUCTION TO          This course builds on CSE 1020 and covers an introduction to object-oriented programming and design. The emphasis is on class implementation and design. Concepts of
COMPUTER SCIENCE II      software reusability and software extensibility are introduced through the object-oriented techniques of inheritance and polymorphism. Case studies involving a collection of
classes related by has-a and is-a relationships are designed and implemented in detail during lectures and tutorials. Other topics include system design, recursion, searching
and sorting, and introductory data structures. The workload includes a number of assignments, a midterm and a final exam.

MATH 1019      DISCRETE MATHEMATICS     Introduction to abstraction. Use and development of precise formulations of mathematical ideas. Informal introduction to logic; introduction to naive set theory; induction;
FOR COMPUTER SCIENCE     relations and functions; big O-notation; recursive definitions, recurrence relations and their solutions; graphs and trees.

MATH 1090      INTRODUCTION TO LOGIC    The syntax and semantics of propositional and predicate logic. Applications to program specification and verification. Optional topics include set theory and induction using
FOR COMPUTER SCIENCE     the formal logical language of the first part of the course.

CSE 2011       FUNDAMENTALS OF DATA     This course discusses the fundamental data structures commonly used in the design of algorithms. At the end of this course, students will know the classical data structures,
STRUCTURES               and master the use of abstraction, specification and program construction using modules. Furthermore, students will be able to apply these skills effectively in the design and
implementation of algorithms.
Review of primitive data types and abstract data type - arrays, stacks, queues and lists.
Searching and sorting; a mixture of review and new algorithms.
Priority queues.
Trees: threaded, balanced (AVL-, 2-3-, and/or B-trees), tries.
Graphs: representations; transitive closure; graph traversals; spanning trees; minimum path; flow problems.

CSE 2031       SOFTWARE TOOLS           This course introduces software tools that are used for building applications and in the software development process.
ANSI-C (stdio, pointers, memory management, overview of ANSI-C libraries). Shell programming. Filters and pipes (shell redirection, grep, sort & uniq, tr, sed, awk, pipes in
C). Version control systems and the "make" mechanism. Debugging and testing.
All the above tools will be applied in practical programming assignments and/or small-group projects.

CSE 2501       FORTRAN AND SCIENTIFIC   Covers computer-based problem solving in a variety of scientific and engineering settings. Introduces the FORTRAN programming language and its interface with scientific
COMPUTING                libraries The first third of the course is lecture format.
Data types, control structures and program structure.
Functions and subroutines. Arrays. I/O. Errors in computations.
For the remainder of the course students work on their own on various projects.

GEOGRAPHY            Structure and Composition of the Earth including Plate Tectonics; Earthquakes   CVL 423   GEOLOGY FOR                   An introductory course related to our biophysical environment including; the structure of the EATS 1010   THE DYNAMIC EARTH AND    An overview of modern geophysics: origin of the Earth, impact cratering, internal structure and rheology, earthquakes, plate tectonics, geomagnetism. Space geodetic
EARTH SCIENCE        and Volcanoes; Shaping of the Surface by Erosion; Sedimentation; Glaciation and           ENGINEERS                     earth, composition of the crust, rock and mineral identification, soil forming processes and              SPACE GEODESY            positioning techniques such as VLBI, SLR and GPS are introduced as means of detecting and monitoring tectonic movements. Other fields of geomatics are introduced.
Permafrost; Minerals and Rocks; Geological Age Determination and Summary of                                             products, origin and engineering significance of landforms, physiographic processes, the                                           The solar system and origin of the Earth. Impact cratering. Internal structure and rheology. Plate tectonics. Geomagnetism.Seismology.
Geological History; Geologic Aspects of Environmental Concerns and Material                                             physiography of Canada., growth habits and significance of vegetation, lake/stream                                                 Space geodesy and geomatics - VLBI, GPS, GIS, Remote Sensing.
Hazards.                                                                                                                ecosystems, wetlands. Laboratory sessions will consist of classroom exercises associated with
field work which may be scheduled on weekends

CVL241      ENVIRONMENTAL         The basic scientific principles of environmental science in the areas of chemistry, physics, EATS 2030            GEOPHYSICS AND SPACE     Earth's structure and rheology, plate tectonics on a sphere, seismic body and surface waves, earthquake fault plane solutions, tectonics on a sphere, geochronology, rock
SCIENCE FOR ENGINEERS ecology, meteorology, microbiology and epidemiology. Methods of sampling and analyzing                            SCIENCE                  magnetism, paleomagnetism, Earth's magnetic field, its origin and deformation by solar winds. Deep space radio sources for measuring plate movements and fluctuations of
air, water and waste water quality. Environmental pollution in the atmospheric, aquatic and                                                Earth rotation, gravitational perturbations of satellite orbits, planetary exploration and communications issues.
terrestrial systems. Effects of environmental disturbances arising from overpopulation,
urbanization, industrialization and energy consumption. Preventive solutions and sustainable
development.

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AOLS REQUIREMENTS                                                                             RYERSON GEOMATICS COURSE EQUIVALENT(S)                                                                                                                               YORK GEOMATICS COURSE EQUIVALENT(S)
INTRODUCTION TO     Acquisition of Data by Field Survey Methods, and Processing these Data to        CVL 323   INTRODUCTION TO         Overview of geomatics engineering program; Basic measurement methods, instrumentation ENG 2110             GEOMATICS AND            Introduction to Geodesy and Geomatics Engineering: surveying, geodesy, hydrography, space geodesy and geodynamics, photogrammetry and digital mapping. A survey of
GEOMATICS           Determine Positions and Direction; Field Note Procedures; Preparation of Maps of           GEOMATICS               and data analysis for determining elevations, angels, distances and point locations; Overview              SPACE                    communications, remote sensing and geodetic satellites, their engineering characteristics, payloads, and use; features of low Earth Orbiter (LEO) missions.
Physical and Cultural Phenomena.                                                                                   of satellite positioning and navigation, spatial and land information management, spatial                  ENGINEERING              Content:
imaging (Photogrammetry/remote sensing) and digital mapping; Relationships to related                                               Geodesy: definition. Geodesy: tasks and problems. Geodesy and other disciplines. Geodetic coordinate systems. Orbital Coordinate system. Gravity field of the Earth: Geoid.
disciplines; and Role of geomatics professionals.                                                                                   Temporal variations of the Earth. Space Geodesy. Surveying: definitions. Measuring angles and distances. Levelling. Elementary survey calculations. Observables,
observations, parameters and math models. Error theory. Overdetermined problems. Mean, variance, covariance, correlation. The covariance matrix and the covariance law.
The least-squares principle. Map projections mapping, maps, measurements. Map distortions. Contours. Map features. Reading a map and measuring areas with a planimeter.
Remote sensing. Photogrammetry: Basic concepts; geometry; scale of an image; orientation of overlapping photographs; measurement of parallax and determination of
heights; stereoscopic view. Geographic Information Systems. Space Engineering: Space mission engineering process; space mission geometry; celestial sphere; celestial
coordinate system; inertial reference frame; eclipse geometry; elements of astrodynamics; Keplerian orbits; orbit perturbations; orbit and constellation design; payloads.

CVL 352   GEOMATIC                Measurement techniques applied to geomatics engineering. Topics include: use of total       ENG 2120       FUNDAMENTALS             Coordinate systems, conventions and transformations. First and second geodetic problem: Trig sections, traverses, eccentricities, areas. Distance measurements, angular
MEASUREMENT             stations and levels for angle distance, and elevation changes measurements, differential                   OF SURVEYING             measurements, heights. Topographic mapping and property surveys. Route Surveying. Introduction to other surveys: alignment, deformation surveys for buildings, bridges,
TECHNIQUES              leveling and trigonometric heighting, traversing, control and topographic surveying,                                                dams, tunnels, pipelines. Coordinate systems, conventions and transformations. First and second geodetic problems: Trig sections, traverses, eccentricities, areas.
boundary surveys, route surveying, construction surveying, and land survey.                                                         Distance measurements: tapes, optical methods, EDM, procedures/errors. Angular measurements: Theodolites, total stations, measurement procedures/errors. Heights:
Geodetic, trigonometric and barometric leveling, procedures, accuracies/ errors. Topographic mapping and property surveys.
Route Surveying: route location, horizontal and vertical curves, sight distance, slope staking, earth work computations, mass diagram. Introduction to other surveys:
alignment, deformation surveys for buildings, bridges, dams, tunnels, pipelines.

METHODS IN          Processing of Survey Data; Coordinate Geometry; Curve Geometry; Earth Work       CVL 323   INTRODUCTION TO         Overview of geomatics engineering program; Basic measurement methods, instrumentation ENG 2130             FIELD SURVEYS            A two week field camp comprising field and office work that simulate professional practice. Students participate in organizational, planning, scheduling and logistical aspects
GEOMATICS           Calculations; Digital Models; Error.                                                       GEOMATICS               and data analysis for determining elevations, angels, distances and point locations; Overview                                       of field operations, instrument familiarization and testing, establishment of geodetic control, and land boundary, highway and construction surveys.
of satellite positioning and navigation, spatial and land information management, spatial                                           CONTENT:
imaging (Photogrammetry/remote sensing) and digital mapping; Relationships to related                                               Planning and scheduling of survey operations.
disciplines; and Role of geomatics professionals.                                                                                   Survey instrument selection and testing.
Establishment of geodetic control.
Land, boundary and construction survey measurements.
Survey data collection, processing and analysis.
Topographic map drawing and technical report writing.

CVL 352   GEOMATIC                Measurement techniques applied to geomatics engineering. Topics include: use of total       EATS 4020      TIME SERIES & SPECTRAL   Treatment of discrete sampled data by linear optimum. Wiener filtering, minimum error energy deconvolution, autocorrelation and spectral density estimation, discrete Fourier
MEASUREMENT             stations and levels for angle distance, and elevation changes measurements, differential                   ANALYSIS                 transforms and frequency domain filtering and the Fast Fourier Transform Algorithm.
TECHNIQUES              leveling and trigonometric heighting, traversing, control and topographic surveying,
boundary surveys, route surveying, construction surveying, and land survey.

ADVANCED            Precision Horizontal and Vertical Control; Pre-Analysis and Design of Surveys;   CVL 352   GEOMATIC                Measurement techniques applied to geomatics engineering. Topics include: use of total       ENG3140        GEODETIC SURVEYS         Instrument systems and procedures for high-precision geodetic surveys. High-precision surveys in engineering physics; geodetic network densification, adjustment and
SURVEYING           Error Analysis of Resultant Data and Techniques; Application of Optical and                MEASUREMENT             stations and levels for angle distance, and elevation changes measurements, differential                                            analysis; procedures for deformation surveys and strain analysis. Establishment and observation of control networks for construction and monitoring of large engineering
Electromagnetic Measuring Principles and Techniques; Calibration of Surveying              TECHNIQUES              leveling and trigonometric heighting, traversing, control and topographic surveying,                                                structures.
Instruments; Utilization of Surveying Instruments; High Precision Surveys,                                         boundary surveys, route surveying, construction surveying, and land survey.
including Deformation Surveys.

CVL 652   DATA MODELLING          Problem formulation and solution. A priori weighting of unknown parameters. Partioning          ENG 3160   ADVANCED FIELD SURVEYS   A two-week camp comprising field and laboratory work. It involves organizational, planning, scheduling and logistical aspects of high precision field operations related to
ESTIMATION & ANALYSIS   and constraining unknowns. Combining different normal equations and mathematical                                                    engineering physics, establishment and observation of control networks for construction and monitoring of large engineering structures.
II                      models. Addition and rejection of observations. Univariate and multivariate statistical testing
of adjustment results. Reliability, data snooping and variance component analysis.
Preanalysis strategies. Network design and analysis. Design criteria for different types of
networks. Deformation analysis.

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AOLS REQUIREMENTS                                                                                   RYERSON GEOMATICS COURSE EQUIVALENT(S)                                                                                                                                                  YORK GEOMATICS COURSE EQUIVALENT(S)
PROBABILITY &                                                                                           MATH 203   STATISTICS                      Graphical presentation, frequency distribution, descriptive statistics, probability theory,       MATH2560    ELEMENTARY STATISTICS I            Displaying and describing distributions, normal distribution. Relationships between variables, regression and correlation. The need for design, experimental design and
normal distribution, sampling distribution, binomial distribution, Poisson distribution, t                                                       sampling design. Sampling distributions, bias, variability. Probability models, random variables, probability laws. Prerequisite: Ontario Grade 11 mathematics.
STATISTICS
distribution, estimation, hypotheses tests.

INTRODUCTION TO      Application of Matrix Methods and the Computer to the Analysis of Survey           MTH 141    LINEAR ALGEBRA                  Linear Algebra. Systems of linear equations and matrices. Determinants. Vector spaces. Inner MATH 1025        APPLIED LINEAR ALGEBRA             Topics include spherical and cylindrical coordinates in Euclidean 3-space, general matrix algebra, determinants, vector space concepts for Euclidean n-space (e.g., linear
SURVEY ANALYSIS      Problems; Linear Equations and Their Methods of Solution; Linearization of                                                    product spaces. Eigenvalues and eigenvectors. Applications.                                                                                      dependence and independence, basis, dimension, linear transformations, etc.), an introduction to eigenvalues and eigenvectors. The final grade will be based on assignments,
Computational Models; Coordinate Transformations.                                                                                                                                                                                                                              term tests and a final exam.

MTH 510    NUMERICAL ANALYSIS              Review of Taylor's formula, truncation error and roundoff error. Solutions of Non linear          GEOG 2420   INTRODUCTORY                       The course aims to provide every student with fundamental concepts of descriptive and inferential statistics and a working knowledge of several standard statistical techniques
Equations in one variable. Linear Equations. LU-decompostion. Eigenvalues and                                 STATISTICAL ANALYSIS IN            which are widely used in many different branches of geography. Examples of such techniques include measures of central tendency and dispersion (descriptive statistics),
eigenvectors. Jacobi, Gauss-Seidel methods. Interpolation and curve fitting. Numerical                        GEOGRAPHY                          comparisons of means and proportions (inferential statistics) and correlation and regression analyses (analyzing relationships and causation). These techniques are used in
integration. Numerical solution of ordinary differential equations. (Initial value problems.)                                                    numerous disciplines, and are not in themselves 'geographical'. However, consideration will be given to the nature of geographical data and the examples used in lectures and
assignments will be geographical in content. Throughout the course, emphasis will be placed on the concepts underlying each procedure as much as on the mechanics of the
numerical calculations. This policy reflects the belief that "knowing why" is just as important as "knowing how". Computers will be used in the lab sessions but no prior
knowledge of computers or specific computer programs is assumed.

CVL 552    DATA MODELLING          Basic concepts of modelling and estimation, analysis of Geomatics measurements, measures
ESTIMATION & ANALYSIS I of central tendency, introductory probability theory, Univariate statistical testing, covariance
and correlation, principles of least-squares methods, parametric, condition and combined
cases, partitioning, weighted and functional constraints, sequential solution.

CVL 652    DATA MODELLING                  Problem formulation and solution. A priori weighting of unknown parameters. Partioning
ESTIMATION & ANALYSIS           and constraining unknowns. Combining different normal equations and mathematical
II                              models. Addition and rejection of observations. Univariate and multivariate statistical testing
of adjustment results. Reliability, data snooping and variance component analysis.
Preanalysis strategies. Network design and analysis. Design criteria for different types of
networks. Deformation analysis.

SURVEY ANALYSIS      Survey Control Systems; Statistical Analysis of Survey Data including Estimation   CVL 552    DATA MODELLING          Basic concepts of modelling and estimation, analysis of Geomatics measurements, measures                  MATH 2015   APPLIED MULTIVARIATE &             Topics covered include partial derivatives; grad, div, curl and Laplacian operators; line and surface integrals; theorems of Gauss and Stokes; double and triple integrals in
of Variance Components; Regression Analysis; Models; Filters; Adjustment of                   ESTIMATION & ANALYSIS I of central tendency, introductory probability theory, Univariate statistical testing, covariance                      VECTOR CALCULUS                    various coordinate systems; extrema and Taylor series for multivariate functions. Other topics covered include curves and surfaces in Cartesian, cylindrical, and spherical
Large Survey Networks; Estimation of Reliability and Accuracy of Survey                                               and correlation, principles of least-squares methods, parametric, condition and combined                                                                 polar coordinates; differential vector identities; Green's theorem.
Systems.                                                                                                              cases, partitioning, weighted and functional constraints, sequential solution.

CVL 652    DATA MODELLING                  Problem formulation and solution. A priori weighting of unknown parameters. Partioning          MATH 2270     DIFFERENTIAL EQUATIONS             Introduction to differential equations, including a discussion of the formation of mathematical models for real phenomena; solution by special techniques; applications; linear
ESTIMATION & ANALYSIS           and constraining unknowns. Combining different normal equations and mathematical                                                                 equations; solutions in series; other topics if time permits. Differential equations have played a central role in mathematics and its applications for the past three hundred
II                              models. Addition and rejection of observations. Univariate and multivariate statistical testing                                                  years. Their importance in applications stems from the interpretation of the derivative as a rate of change, a familiar example being velocity. Many of the fundamental laws of
of adjustment results. Reliability, data snooping and variance component analysis.                                                               physical science are best formulated as differential equations. In other areas, too, such as biology and economics, which involve the study of growth and change, such
Preanalysis strategies. Network design and analysis. Design criteria for different types of                                                      equations are of fundamental importance. In this course we will study some important types of linear differential equations and their solutions. Topics will include first-order
networks. Deformation analysis.                                                                                                                  (differential) equations; homogeneous second and higher order equations with constant coefficients; the particular solution of inhomogeneous second-order equations; series-
form solutions of equations with variable coefficients;solutions by use of Laplace transforms. Students will use the symbolic computational computer language MAPLE to
study the behaviour of differential equations. No prior experience with this language is necessary.

ENG 3120    ADJUSTMENT                         Minima and maxima of functions, Weierstrass theorem, Lagrange multipliers. Quadratic forms. Observables, observations, parameters and mathematical models. The least-
CALCULUS                           squares principle; weight matrix and variance factor; parametric, condition and combined adjustments.
Minima, maxima of functions; Quadratic forms; The least-squares principle; Covariance matrices and Covariance law; Parametric adjustment; Conditional adjustment;

ENG 3130    ANALYSIS OF            Hilbert space and statistics. Statistical testing and assessment of observations, parameters and mathematical models. Optimal design. Generalized adjustment, problems with
OVERDETERMINED SYSTEMS constraints and singularities, step-by-step procedures.

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AOLS REQUIREMENTS                                                                              RYERSON GEOMATICS COURSE EQUIVALENT(S)                                                                                                                                     YORK GEOMATICS COURSE EQUIVALENT(S)
PHOTOGRAMMETRY and     Analytical Principles and Procedures; The Analytical Stereoplotter; Spatial     CVL 354   REMOTE SENSING                Provides an overview of the fundamental principles of remote sensing and image analysis     ENG3150       PHOTOGRAMMETRY             Image and object space. Direct and inverse problems of projective and similarity coordinate transformations. Collinearity and coplanarity. Orientation procedures.
REMOTE SENSING         Triangulation; Digital Photogrammetry; Project Planning and Execution; Remotely                                         from a geomatics perspective. Topics include: nature of electromagnetic radiation, energy                                            Measurement and correction of image coordinates. Stereomodel and error analysis. Analog, analytical, independent model, strip and block adjustments. Image rectification.
Sensed Digital Images; Computer-Assisted Interpretation; Preprocessing and                                              interactions, visual image interpretation, airborne and satellite platforms, optical and                                             Applications.
Pattern Recognition; Resource Mapping and Monitoring.                                                                   microwave sensors, image rectification and geocoding, image enhancement, multispectral                                               Photogrammetric principles, instruments and techniques.
transformation and classification, data fusion and GIS integration, applications to                                                  Stereoscopic viewing and stereomodels. Analytical photogrammetry and image processing. Aerotriangulation and adjustments. Image rectification and DEM generation.
environmental monitoring and mapping, and term project.                                                                              Digital mapping process and applications.
Project planning.

CVL 710    PHOTOGRAMMETRY &              Mathematical relationships between image and object space. Direct and inverse problems of ENG 4130        DIGITAL IMAGING AND        Digital imaging from remote platforms. Image processing and analysis, including radiometric and geometric corrections and geometric enhancements, multispectral
DIGITAL MAPPING               projective and similarity coordinate transformations. Conditions of collinearity and                      APPLICATIONS               classification, digital photogrammetry fundamentals, workstations, photogrammetric processing.
coplanarity. Orientation procedures (Interior, Exterior, Relative and Absolute). Extraction of                                       Digital Image Processing and Computer Vision. Fundamentals of Digital Photogrammetry
mapping information. Independent model and bundle adjustments. Digital terrain modeling,
digital image rectification and orthophoto production. Project planning.

CVL 800    SPATIAL IMAGE                 Introduction to image processing and analysis techniques from a remote sensing perspective. ENG4140       DIGITAL TERRAIN MODELS     Digital Terrain Modeling concepts. Mathematical techniques in data acquisition, processing storage, manipulation, and applications. DTM. Surface representation using
PROCESSING & ANALYSIS         Topics include: elements of digital image processing and analysis systems; image                          AND LIDAR APPLICATIONS     moving averages, linear projection, and Kriging techniques. Grid resampling methods and search algorithms. DTM derivatives and applications. LIDAR systems and
digitization, quantization and sampling; image storage, display and image file management;                                           applications. Introduction. Surface Representation. Gridding. Sampling. Interpolation. Interpolation methods. Krigging. TIN Structures. Voronoi Diagrams and Delaunay
geometric operations, rectification, registration and resampling techniques; image                                                   Triangulation. Collection and Acquisition. Surveys. Photogrammetry. InSAR and Lidar. Space sensors. Lidar System components. Lidar Characteristics. Processing
enhancements, point operations and filtering; transformation in spatial and frequency                                                Applications.
domains; image restoration and compression; image segmentation and feature extraction;
automated interpretation and spatial information extraction, term project.

EATS4220      REMOTE SENSING             The physical principles of remote sensing are presented along with detailed discussion of Earth-observing sensors which detect e.m. energy in the ultraviolet to microwave
spectral regions. Both passive and active techniques are examined with application examples drawn from many of the disciplines associated with remote sensing of Earth
resources. Laboratory experiments involve spectral reflectance measurements of typical natural surfaces and interpretation of spectra from air borne imagery, as well as
reflectance model runs.

GIS/LAND MANAGEMENT    Spatial Data Management Systems; Alternative Methods of Geo-Referencing;       CVL 753    SPATIAL INFORMATION  Introduction to spatial information systems, spatial data structures and 2-D spatial          EATS 3300            GIS AND SPATIAL ANALYSIS   The fundamental concepts and techniques of GIS are presented along with detailed discussion of computer implementation. The emphases include spatial data management
AND LAND INFORMATION   Spatial Data Representation; Creation and Revision of Digital Map Data; Data              MANAGEMENT SYSTEMS I transformations, hardware/software components, functions and architecture; Comparative                                                        and map analysis/spatial modeling. PC ArcView and Spatial Analysis extension are used for hands-on exercises.
SYSTEMS                Integration and Geoprocessing; Hardware and Software Components of a GIS;                                      overview of alternative spatial data collection technologies; Data structures and database                                                    Spatial data structures. Database management. Map projection and georeferencing. Spatial data analysis. GIS applications. Group projects.
Project Selection; Design and Implementation-, Review of Selected Geographic                                   management systems for raster and vector data; Introduction to spatial modeling and analysis.

CVL 853    SPATIAL INFORMATION           Advanced modeling and analytical tools; Data quality analysis, errors and natural variations; EATS 4400   GEOGRAPHICAL               Project-oriented Geomatics course using GIS systems and various techniques (map algebraic, statistical, fuzzy logic, AI, and fractal/multifractal) for integrating diverse dataset
MANAGEMENT SYSTEMS            Spatial data integration, metadata and standardization issues; Introduction to needs analysis;,           INFORMATION SYSTEMS &      (geographic, geological, geophysical, geochemical, hydrological, remote sensing and GPS). It starts with the fundamental concepts and techniques of GIS along with a
II                            specifications, design and system integration; Role of the Internet in data and information               DATA INTEGRATION           detailed discussion of computer implementation. The emphases include database management and map analysis/spatial modeling with Macro Language Programming.
dissemination; Applications in design and planning environmental monitoring, cadastral                                               ARC/INFO GIS program is used for hands-on exercises.
mapping, and facilities and infrastructure management.                                                                               Introduction to Geomatics. Spatial data, data structure and database management. Data collection, data conversion and data transformation.
Georeferencing and GPS. Spatial statistical analysis for vector and raster data. Diverse data integration. Spatial modeling and prediction. Macro programming (AML).
Application examples include mineral potential mapping, hydrological modeling, stream network analysis, and environmental planning.

CSE 2011      FUNDAMENTALS OF DATA       This course discusses the fundamental data structures commonly used in the design of algorithms. At the end of this course, students will know the classical data structures,
STRUCTURES                 and master the use of abstraction, specification and program construction using modules. Furthermore, students will be able to apply these skills effectively in the design and
implementation of algorithms.
Review of primitive data types and abstract data type - arrays, stacks, queues and lists.
Searching and sorting; a mixture of review and new algorithms.
Priority queues.
Trees: threaded, balanced (AVL-, 2-3-, and/or B-trees), tries.
Graphs: representations; transitive closure; graph traversals; spanning trees; minimum path; flow problems.

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AOLS REQUIREMENTS                                                                               RYERSON GEOMATICS COURSE EQUIVALENT(S)                                                                                                                                YORK GEOMATICS COURSE EQUIVALENT(S)
INTRODUCTION TO     Concepts and Evolution of Geodesy; Terrestrial and Satellite-Based Methods of    CVL 550    GEODESY AND MAP         Introduction to geodesy, earth and its motions, gravity field of the earth, the geoid, classical   ENG 3110   GEODETIC CONCEPTS       Geodesy. Reference systems, frames and datums; time systems; the natural system of coordinates; terrestrial, celestial and orbital coordinate systems. Coordinate system
GEODESY and GEODESY   Positioning; Introduction to Global Positioning Systems.                                    PROJECTIONS.            geodetic positioning, geodetic and orbital coordinate systems, the datum issues,                                                      transformations. Relative three dimensional positioning; the inertial frame of reference. Positions on the ellipsoid and mapping plane. Height systems.
direct/inverse geodetic problems, relative positioning on mapping plane (conformal map                                                Geodesy, tasks and problems. Modern reference systems, reference frames and datums. Coordinate systems and their transformations.
Gravitational Potential; Gravity Field; Principles of Satellite and Inertial                                        projections), height systems.                                                                                                         Geodetic positioning (point, relative) on the reference ellipsoid. Conformal mapping. Height systems.
Positioning Systems; Levelling and Geopotential Numbers; Tidal Effects; Theory
of Orbits; the Geoid.

CVL 650    SATELLITE POSITIONING   Basic concepts of satellite positioning, GPS signal structure, GPS modernization, GPS orbital EATS 3020       GLOBAL GEOPHYSICS AND   Studies of isostatic equilibrium and glacial rebound; seismic tomography and spherical harmonic representation of gravity and the geoid; Earth rotation and geodesy;
determination, pseudorange and carrier-phase measurements, linear combinations of GPS                         GEODESY                 geothermal heat flow.
observables, GPS errors and biases, development of mathematical models for absolute and                                               Earth structure overview. Isostasy and glacial rebound. Seismic tomography overview. Fourier series expansions - 1D and 2D. Laplace’s equation in spherical coordinates.
relative positioning static, kinematic and real-time kinematic (RTK) GPS positioning,                                                 Spherical harmonics. Gravitational potential and reference geoid. Gravity anomalies and geoid height.
practical considerations, GPS augmentations.                                                                                          Earth rotation, precession, nutation and wobble. Moments of inertia.
Geothermal heat flow. Free core nutation.

ENG3140    GEODETIC SURVEYS        Instrument systems and procedures for high-precision geodetic surveys. High-precision surveys in engineering physics; geodetic network
densification adjustment and analysis; procedures for deformation surveys and strain analysis. Establishment and observation of control
networks for construction and monitoring of large engineering structures.

ENG4110    GLOBAL POSITIONING      GPS as a modern positioning technique. Coordinate systems and transformations. Satellite orbits, signal structure. Practical position
SYSTEMS
determination. Exposure to GLONASS, VLBI, SLR, INS.

ENG 4120   PHYSICAL AND SPACE      Local treatment of the Earth's gravity field. Boundary value problems. Normal and disturbing potential, the normal gravity formula. Geoid, geoidal undulations, deflections of
GEODESY                 the vertical. Stokes and Vening Meinesz formulae. Gravimetry and gravity reductions. Height systems. Tides. Gravity space missions. Gravity field and geodetic
measurements. Boundary value problems of physical geodesy. Stokes-Helmert Theory of geoid determination. Gravimetry and gravity reductions. Height systems. Altimetry
and gravity space missions.

PROFESSIONAL AFFAIRS   Role and Responsibilities of Professions from the Historical, Ethical, Legal,    CEN 800    LAW AND ETHICS IN       Study and analysis of the engineering profession, business corporations and organization,    ENG 3000         PROFESSIONAL            An introduction to the legal ethical frameworks of the engineering profession, preparing students for the Professional Practice Examination required for certification as a
Organizational and Commercial Perspectives; Exploration of the Fundamentals of              ENGINEERING PRACTICE    Tort liability and contract law, legal and ethical aspects of engineering practice, business                  ENGINEERING PRACTICE    professional engineer. Also covered are associated professional issues such as entrepreneurship, intellectual property and patents.
Professional Judgement; Conduct; Practice Creation and Management.                                                  contract law and conflict resolution, intellectual and industrial property, employment and
labour law including occupational health and safety, WHMIS, corporate social responsibility,
environmental considerations and sustainable development, international standards and trade.

LAND PLANNING          Fundamentals of obtaining Site Information to provide the Framework for Land      CVL 353   MUNICIPAL PLANNING      The function and structure of the Planning Act and other statutes that affect land use
Development; Subdivision Design; Economics of Development; Aggregate                        AND ENGINEERING         changes. Planning instruments and their interpretation; official and secondary plans, zoning
Resource Development; Condominium Legislation and Approval; Drainage                                                bylaws, site plan controls, minor variances, land division by consent and by plan of
Legislation and Engineering; Role and Involvement of the Professional Surveyor as                                   subdivision. The subdivision design process. Integration of storm water management plans,
a Member of the Multi-Disciplinary Planning Development Team; Effective Public                                      wetlands and fisheries policies and other environmental controls, Municipal infrastructure
Participation and Stakeholder Involvement; Strategies for Presentation.                                             design, location, operation and maintenance.

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AOLS REQUIREMENTS                                                                              RYERSON GEOMATICS COURSE EQUIVALENT(S)                                                                                                                              YORK GEOMATICS COURSE EQUIVALENT(S)
EFFECTIVE                     Principles, Styles and Techniques of Technical Writing; Narrative; Descriptive;  CMN432     COMMUNICATION IN THE   This workshop course focuses on the following topics: communication theory; technical and ENG 1000           ENGINEERING DESIGN I    An introduction to design using case studies to illustrate the use of resources to meet stated objectives within constraints imposed by economic, health, safety, environmental,
COMMUNICATION                 Expository and Persuasive Prose; Correct Grammar; Sentence and Paragraph                    ENGINEERING            management writing style and standards; information retrieval, recording and organizing;                                             social and other factors. Emphasis is placed on written and oral presentation and critical analysis.
Structure; Clarity, Precision and Consistency; Writing Memoranda, Business                  PROFESSIONS            documentation; memoranda, short report and employment application documents; graphics in
Letters, Announcements, Abstracts, Reports, Instructional Manuals, Brochures and                                   communication; and oral presentations.
Specifications; Basic Communication within an Organizational Structure;
Presentation of Technical Information for a Variety of Audiences.

ENG2000   ENGINEERING DESIGN II   Design using engineering materials (mechanical, electronic, magnetic, thermal and optical properties of materials, structural mechanics) and management and economics of
engineering projects (workplace safety, work breakdown structures, Gantt charts, logic diagram, time value of money, comparison methods). Group design projects.

CVL 743     DEGREE PROJECT I       Students must prepare a formal thesis document on a suitable, departmentally approved,          ENG 4000     ENGINEERING PROJECT     The project will include significant elements of design and implementation. The format is intended to resemble engineering projects in practice, including specifications,
topic. The work will involve a literature review, study design, data collection and analysis or                                      background research, innovative solutions, analysis, testing, and communication.
design, drawing conclusions and making recommendations, on a civil or geomatics
engineering project. The writing will be in formal English, and will take the form of an
argument. The work must reflect the rigour of the fourth year of the program, and must
advance the student’s comprehension of the topic. At the end of this course, the literature
review and draft thesis outline will be completed, and the research or experimental work will
be underway. (formerly first half of CVL 041)

CVL 843     DEGREE PROJECT II      This is a continuation of the work completed in CVL 743 Degree Project I. Subject to
departmental approval of the literature review and draft thesis outline submitted in Degree
Project I, the student will complete the investigative and analytical work, draw appropriate
conclusions and recommendations, and prepare the final thesis document. An oral
presentation of the work is required. (formerly second half of CVL 041) Prerequisite: CVL
743

PRINCIPLES OF LAW             Overview of the Role and purpose of the Canadian Legal System; The Canadian       CLAW122   INTRODUCTION TO LAW    Introduction to the role and duties of law clerks and paralegals. Practical issues in law for
Constitution; The Structure and Operations of our Civil Courts; The Establishment                                  law clerks and paralegals including: sources of law, legal research, the case study method,
of Law, including Statutes and Common Law; The Impact of Laws on Individuals                                       introduction to the Canadian system of law, basic overview of the Ontario court system,; and
and Business Entities.                                                                                             the basic theory of the law of torts, contracts and property. This course is intended to provide
a basis for all other Law Procedures courses.

CEN800      LAW AND ETHICS IN      Study and analysis of the engineering profession, business corporations and organization,
ENGINEERING PRACTICE   Tort liability and contract law, legal and ethical aspects of engineering practice, business
contract law and conflict resolution, intellectual and industrial property, employment and
labour law including occupational health and safety, WHMIS, corporate social responsibility,
environmental considerations and sustainable development, international standards and trade.

ECN801      PRINCIPLES OF          Principles of economic decision analysis applied to private and public sector capital projects.
ENGINEERING            Discounted cash flow methods are studied. Tax impacts of depreciation and interest charges
ECONOMICS              are incorporated into decision rules. Other topics covered include: lease analysis,
replacement decisions, sensitivity and break even analysis, inflation impacts and public sector
project analysis. (PR)

SURVEY LAW I: REAL            Real Property; Land Parcels and Property Rights; Survey Systems; Crown Lands;   CVL711      CADASTRAL STUDIES &    The role of the professional land surveyor. The Ontario Survey Systems and Land Surveys       ENG 4160       CADASTRAL SURVEYS AND   Cadastral systems, survey law and the role of the professional land surveyor. The Dominion Lands Survey System and Land Surveys Acts and Regulations. Cadastral surveys,
PROPERTY                      Grants and Surveys                                                                          SURVEY LAW             Acts and Regulations. Cadastral surveys, including surveys of Canada Lands for aboriginal                    LAND REGISTRATION       including surveys of Canada lands for aboriginal land claims and coastal boundaries. Land registration systems in Canada.
land claims and coastal boundaries. Land registration systems in Ontario, Regulatory reform.                 SYSTEMS                 Cadastral Systems. Dominion Lands Survey System. Land Surveys Acts and Regulations. Title Search. Property Descriptions.
Evidence of boundaries. Riparian rights. Title to land. Design and implementation of a multi-

SURVEY LAW II: PARCELS Creation of Boundaries; Principles of Evidence; Estoppel; Adverse Possession;                                             Currently provided annually through the Association of Ontario Land Surveyors (information
RECORDS AND            Natural Boundaries; Description of Lands.                                                                                 will be sent to AOLS members).
BOUNDARIES

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