Computer Science (Faculty of Science)
Computer science encompasses everything from theory to applications, including software engineering, programming languages, robotics, compilers, databases, game design and development, operating systems, artificial intelligence, computational biology, computer vision, and the analysis of algorithms.
A universitylevel education in computer science will help you develop your analytical thinking and creative problem solving skills while studying a wealth of exciting topics with a wide range of applications (from medicine to business). An undergraduate education in computer science will also open the door to careers in a variety of companies (engineering, hightech, pharmaceutical).
You can study Computer Science at McGill in many different ways. One typical way is by completing a Bachelor of Science (B.Sc.) degree program in the Faculty of Science. You can choose the amount and nature of the computer science courses that you take by selecting different program options. For example, a Major in Computer Science requires you to take 60 credits of computer science or related courses. On the other hand, a Minor in Computer Science requires you to take only 24 credits of computer science or related courses. Most computer science courses are worth 3 or 4 credits.
The McGill School of Computer Science also offers a Major in Computer Games. The specialization fulfils all the basic requirements of the Major Computer Science. Complementary courses focus on topics that are important to understanding the technology behind computer games and to gaining experience in software development and design needed for computer game development.
DETAILED PROGRAM OUTLINES:
Program Requirement:
This program is the standard Major program offered by the School of Computer Science. It provides a broad introduction to the principles of computer science and offers ample opportunity to acquire indepth knowledge of several subdisciplines. At the same time, its credit requirements allow students to take an additional minor.
Students may complete this program with a minimum of 60 credits or a maximum of 63 credits depending if they are exempt from taking COMP 202.
Required Courses (33 credits)
* Students who have sufficient knowledge in a programming language do not need to take COMP 202.

COMP 202 Foundations of Programming 3 Credits*
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisite: a CEGEP level mathematics course
 Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250
 Symbols:
 *
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Giulia Alberini, Elizabeth Patitsas
 Giulia Alberini

COMP 206 Intro to Software Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Comprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Joseph P Vybihal

COMP 250 Intro to Computer Science 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Mathematical tools (binary numbers, induction, recurrence relations, asymptotic complexity, establishing correctness of programs), Data structures (arrays, stacks, queues, linked lists, trees, binary trees, binary search trees, heaps, hash tables), Recursive and nonrecursive algorithms (searching and sorting, tree and graph traversal). Abstract data types, inheritance. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisites: Familiarity with a high level programming language and CEGEP level Math.
 Students with limited programming experience should take COMP 202 or equivalent before COMP 250. See COMP 202 Course Description for a list of topics.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Michael Langer, Giulia Alberini
 Reihaneh Rabbany, Giulia Alberini

COMP 251 Algorithms and Data Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to algorithm design and analysis. Graph algorithms, greedy algorithms, data structures, dynamic programming, maximum flows.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Corequisite(s): MATH 235 or MATH 240 or MATH 363.
 COMP 251 uses mathematical proof techniques that are taught in the corequisite course(s). If possible, students should take the corequisite course prior to COMP 251.
 COMP 251 uses basic counting techniques (permutations and combinations) that are covered in MATH 240 and 363, but not in MATH 235. These techniques will be reviewed for the benefit of MATH 235 students.
 Restrictions: Not open to students who have taken or are taking COMP 252.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jérôme Waldispuhl
 Adrian Roshan Vetta

COMP 273 Intro to Computer Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Number representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
Offered by: Computer Science
 3 hours
 Corequisite: COMP 206.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Kaleem Siddiqi

COMP 302 Programming Lang & Paradigms 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Programming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Brigitte Pientka
 Prakash Panangaden

COMP 303 Software Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Principles, mechanisms, techniques, and tools for objectoriented software design and its implementation, including encapsulation, design patterns, and unit testing.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Martin Robillard
 Jin Guo

COMP 310 Operating Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Control and scheduling of large information processing systems. Operating system software  resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 273
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Muthucumaru Maheswaran
 Joseph P Vybihal

MATH 222 Calculus 3 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
 Restriction: Not open to students who have taken CEGEP course 201303 or MATH 150, MATH 151 or MATH 227
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jérôme Fortier

MATH 223 Linear Algebra 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 133 or equivalent
 Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Djivede A Kelome
 Jeremy D Macdonald

MATH 240 Discrete Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Introduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
Offered by: Mathematics and Statistics
 Fall and Winter
 Corequisite: MATH 133.
 Restriction: For students in any Computer Science, Computer Engineering, or Software Engineering programs. Others only with the instructor's permission. Not open to students who have taken or are taking MATH 235.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jeremy D Macdonald
Complementary Courses (30 credits)
Students should talk to an academic adviser before choosing their complementary courses.
At least 6 credits selected from:

COMP 330 Theory of Computation 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Finite automata, regular languages, contextfree languages, pushdown automata, models of computation, computability theory, undecidability, reduction techniques.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 251.
 Symbols:
 Terms
 Fall 2019
 Instructors
 Claude Crepeau

COMP 350 Numerical Computing 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Computer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Leastsquares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
Offered by: Computer Science
 3 hours
 Prerequisites: MATH 222 and MATH 223 and one of: COMP 202, COMP 208, COMP 250; or equivalents.
 Restrictions: Students cannot receive credit for both COMP 350 and MATH 317.
 Symbols:
 Terms
 Fall 2019
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 360 Algorithm Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Advanced algorithm design and analysis. Linear programming, complexity and NPcompleteness, advanced algorithmic techniques.
Offered by: Computer Science
 3 hours
 Prerequisite: Either COMP 251 or COMP 252, and either MATH 240 or MATH 235 or MATH 363.
 Restriction: Not open to students who have taken or are taking COMP 362.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Hamed Hatami
39 credits selected from:
* Must include at least one of MATH 323 and MATH 340.

MATH 318 Mathematical Logic 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Propositional logic: truthtables, formal proof systems, completeness and compactness theorems, Boolean algebras; firstorder logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem.
Offered by: Mathematics and Statistics
 Symbols:
 Terms
 Fall 2019
 Instructors
 Marcin Sabok

MATH 323 Probability 3 Credits*
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 141 or equivalent.
 Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
 Restriction: Not open to students who have taken or are taking MATH 356
 Symbols:
 *
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jose Andres Correa
 Djivede A Kelome, David B Wolfson

MATH 324 Statistics 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 323 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 357
 You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Masoud AsgharianDastenaei

MATH 340 Discrete Structures 2 3 Credits*
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of mathematical writing, proof techniques, graph theory and counting. Mathematical logic. Graph connectivity, planar graphs and colouring. Probability and graphs. Introductory group theory, isomorphisms and automorphisms of graphs. Enumeration and listing.
Offered by: Mathematics and Statistics
 Winter
 Prerequisites: MATH 235 or MATH 240 or MATH 242.
 Corequisites: MATH 223 or MATH 236.
 Restriction: Not open to students who have taken or are taking MATH 343 or MATH 350.
 Symbols:
 *
 Terms
 Winter 2020
 Instructors
 Jérôme Fortier
At least 6 credits at the 400level or above.
The remaining credits selected from computer science courses at the 300 level or above (except COMP 364 and COMP 396) and ECSE 539.
Note: Students have to make sure that they have the appropriate prerequisites when choosing upperlevel courses.
Program Requirement:
This program is a specialization within Computer Science. It fulfils all the basic requirements of the Major Computer Science. Complementary courses focus on topics that are important to understanding the technology behind computer games and to gaining experience in software development and design needed for computer game development.
Students may complete this program with a minimum of 62 credits or a maximum of 67 credits depending if they are exempt from taking COMP 202 and their choice of complementary courses.
Required Courses (50 credits)
* Students who have sufficient knowledge in a programming language do not need to take COMP 202 and can replace it with additional computer science complementary course credits.

COMP 202 Foundations of Programming 3 Credits*
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisite: a CEGEP level mathematics course
 Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250
 Symbols:
 *
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Giulia Alberini, Elizabeth Patitsas
 Giulia Alberini

COMP 206 Intro to Software Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Comprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Joseph P Vybihal

COMP 250 Intro to Computer Science 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Mathematical tools (binary numbers, induction, recurrence relations, asymptotic complexity, establishing correctness of programs), Data structures (arrays, stacks, queues, linked lists, trees, binary trees, binary search trees, heaps, hash tables), Recursive and nonrecursive algorithms (searching and sorting, tree and graph traversal). Abstract data types, inheritance. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisites: Familiarity with a high level programming language and CEGEP level Math.
 Students with limited programming experience should take COMP 202 or equivalent before COMP 250. See COMP 202 Course Description for a list of topics.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Michael Langer, Giulia Alberini
 Reihaneh Rabbany, Giulia Alberini

COMP 251 Algorithms and Data Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to algorithm design and analysis. Graph algorithms, greedy algorithms, data structures, dynamic programming, maximum flows.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Corequisite(s): MATH 235 or MATH 240 or MATH 363.
 COMP 251 uses mathematical proof techniques that are taught in the corequisite course(s). If possible, students should take the corequisite course prior to COMP 251.
 COMP 251 uses basic counting techniques (permutations and combinations) that are covered in MATH 240 and 363, but not in MATH 235. These techniques will be reviewed for the benefit of MATH 235 students.
 Restrictions: Not open to students who have taken or are taking COMP 252.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jérôme Waldispuhl
 Adrian Roshan Vetta

COMP 273 Intro to Computer Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Number representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
Offered by: Computer Science
 3 hours
 Corequisite: COMP 206.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Kaleem Siddiqi

COMP 302 Programming Lang & Paradigms 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Programming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Brigitte Pientka
 Prakash Panangaden

COMP 303 Software Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Principles, mechanisms, techniques, and tools for objectoriented software design and its implementation, including encapsulation, design patterns, and unit testing.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Martin Robillard
 Jin Guo

COMP 308 Computer Systems Lab 1 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Digital circuitry and programming interface of peripheral circuit boards (cards), e.g., graphics cards; introduction to tools and libraries that interact with the card; performance issues.
Offered by: Computer Science
 1 hour
 Prerequisite: COMP 273.
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 310 Operating Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Control and scheduling of large information processing systems. Operating system software  resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 273
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Muthucumaru Maheswaran
 Joseph P Vybihal

COMP 322 Introduction to C++ 1 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Basics and advanced features of the C++ language. Syntax, memory management, class structure, method and operator overloading, multiple inheritance, access control, stream I/O, templates, exception handling.
Offered by: Computer Science
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 330 Theory of Computation 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Finite automata, regular languages, contextfree languages, pushdown automata, models of computation, computability theory, undecidability, reduction techniques.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 251.
 Symbols:
 Terms
 Fall 2019
 Instructors
 Claude Crepeau

COMP 361D1 Software Engineering Project 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Software development process in practice: requirement elicitation and analysis, software design, implementation, integration, test planning, and maintenance. Application of the core concepts and techniques through the realization of a large software system.
Offered by: Computer Science
 Prerequisites: COMP 206, COMP 250
 Corequisite: COMP 303
 Restriction: Not open to students who have taken the 3 credit version of COMP 361.
 Students must register for both COMP 361D1 and COMP 361D2
 No credit will be given for this course unless both COMP 361D1 and COMP 361D2 are successfully completed in consecutive terms
 Symbols:
 Terms
 Fall 2019
 Instructors
 Jorg Andreas Kienzle

COMP 361D2 Software Engineering Project 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): See COMP 361D1 for course description.
Offered by: Computer Science
 Prerequisite: COMP 361D1
 No credit will be given for this course unless both COMP 361D1 and COMP 361D2 are successfully completed in consecutive terms
 Symbols:
 Terms
 Winter 2020
 Instructors
 Jorg Andreas Kienzle

COMP 557 Fundamentals of Comp. Graphics 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Fundamental mathematical, algorithmic and representational issues in computer graphics: overview of graphics pipeline, homogeneous coordinates, projective transformations, linedrawing and rasterization, hidden surface removal, surface modelling (quadrics, bicubics, meshes), rendering (lighting, reflectance models, ray tracing, texture mapping), compositing colour perception, and other selected topics.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Instructors
 Paul Kry

MATH 222 Calculus 3 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
 Restriction: Not open to students who have taken CEGEP course 201303 or MATH 150, MATH 151 or MATH 227
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jérôme Fortier

MATH 223 Linear Algebra 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 133 or equivalent
 Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Djivede A Kelome
 Jeremy D Macdonald

MATH 240 Discrete Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Introduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
Offered by: Mathematics and Statistics
 Fall and Winter
 Corequisite: MATH 133.
 Restriction: For students in any Computer Science, Computer Engineering, or Software Engineering programs. Others only with the instructor's permission. Not open to students who have taken or are taking MATH 235.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jeremy D Macdonald

MATH 323 Probability 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 141 or equivalent.
 Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
 Restriction: Not open to students who have taken or are taking MATH 356
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jose Andres Correa
 Djivede A Kelome, David B Wolfson
Complementary Courses (17 credits)
Students complete a minimum of 15 or a maximum of 17 complementary credits selected as follows:
3 credits selected from:

COMP 350 Numerical Computing 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Computer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Leastsquares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
Offered by: Computer Science
 3 hours
 Prerequisites: MATH 222 and MATH 223 and one of: COMP 202, COMP 208, COMP 250; or equivalents.
 Restrictions: Students cannot receive credit for both COMP 350 and MATH 317.
 Symbols:
 Terms
 Fall 2019
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 360 Algorithm Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Advanced algorithm design and analysis. Linear programming, complexity and NPcompleteness, advanced algorithmic techniques.
Offered by: Computer Science
 3 hours
 Prerequisite: Either COMP 251 or COMP 252, and either MATH 240 or MATH 235 or MATH 363.
 Restriction: Not open to students who have taken or are taking COMP 362.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Hamed Hatami
68 credits selected from:

COMP 424 Artificial Intelligence 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to search methods. Knowledge representation using logic and probability. Planning and decision making under uncertainty. Introduction to machine learning.
Offered by: Computer Science
 Symbols:
 Terms
 Winter 2020
 Instructors
 Jackie Cheung

COMP 521 Modern Computer Games 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Genre and history of games, basic game design, storytelling and narrative analysis, game engines, design of virtual worlds, realtime 2D graphics, game physics and physical simulation, pathfinding and game AI, content generation, 3D game concerns, multiplayer and distributed games, social issues.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Instructors
 Clark Verbrugge

COMP 522 Modelling and Simulation 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Simulation and modelling processes, state automata, Petri Nets, state charts, discrete event systems, continuoustime models, hybrid models, system dynamics and objectoriented modelling.
Offered by: Computer Science
 Symbols:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 529 Software Architecture 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Development, analysis, and maintenance of software architectures, with special focus on modular decomposition and reverse engineering.
Offered by: Computer Science
 4 hours
 Prerequisite: COMP 303.
 Symbols:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 533 ModelDriven Software Develop. 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Modeldriven software development; requirements engineering based on use cases and scenarios; objectoriented modelling using UML and OCL to establish complete and precise analysis and design documents; mapping to Java. Introduction to metamodelling and model transformations, use of modelling tools.
Offered by: Computer Science
 Symbols:
 Terms
 This course is not scheduled for the 20192020 academic year
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 551 Applied Machine Learning 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Selected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
Offered by: Computer Science
 Prerequisite(s): MATH 323 or ECSE 205 or ECSE 305 or equivalent
 Restriction(s): Not open to students who have taken COMP 598 when topic was "Applied Machine Learning"
 Some background in Artificial Intelligence is recommended, e.g. COMP424 or ECSE526, but not required.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 William L Hamilton

COMP 559 Fund. Computer Animation 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Fundamental mathematical and computational issues in computer animation with a focus on physics based simulation: overview of numerical integration methods, accuracy and absolute stability, stiff systems and constraints, rigid body motion, collision detection and response, friction, deformation, stable fluid simulation, use of motion capture, and other selected topics.
Offered by: Computer Science
 Symbols:
 Terms
 Winter 2020
 Instructors
 Paul Kry
6 credits selected from:

COMP 409 Concurrent Programming 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Characteristics and utility of concurrent programs; formal methods for specification, verification and development of concurrent programs; communications, synchronization, resource allocation and management, coherency and integrity.
Offered by: Computer Science
 Symbols:
 Terms
 Winter 2020
 Instructors
 Clark Verbrugge

COMP 421 Database Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Database Design: conceptual design of databases (e.g., entityrelationship model), relational data model, functional dependencies. Database Manipulation: relational algebra, SQL, database application programming, triggers, access control. Database Implementation: transactions, concurrency control, recovery, query execution and query optimization.
Offered by: Computer Science
 Symbols:
 Terms
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 535 Computer Networks 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Fundamental design principles, elements, and protocols of computer networks, focusing on the current Internet. Topics include: layered architecture, direct link networks, switching and forwarding, bridge routing, congestion control, endtoend protocols application of DNS, HTTP, P2P, fair queuing, performance modeling and analysis.
Offered by: Computer Science
 Symbols:
 Terms
 Winter 2020
 Instructors
 Xue Liu
Program Requirement:
Students must obtain approval from their main program adviser, and are also strongly encouraged to speak with a School of Computer Science adviser before choosing complementary courses. A particular course selection must be approved before the student registers for their final term of studies.
Students should note that COMP 251 is a prerequisite for many upper level COMP courses. Upper level COMP courses may have prerequisites that are not part of the Minor such as MATH 222, MATH 223, or MATH 323. Students will not get credit for these courses toward the Minor.
Students may receive up to 6 credits toward the Minor by taking certain approved courses outside the School of Computer Science. These courses must have a high computer science content and must be approved by the School of Computer Science in advance. If a student's Major program requires Computer Science courses, up to 6 credits of Computer Science courses may be used to fulfill both Major and Minor requirements.
Required Courses (9 credits)
* Students who have sufficient knowledge of computer programming do not need to take COMP 202, but it must be replaced with an additional computer science complementary course.

COMP 202 Foundations of Programming 3 Credits*
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisite: a CEGEP level mathematics course
 Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250
 Symbols:
 *
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Giulia Alberini, Elizabeth Patitsas
 Giulia Alberini

COMP 206 Intro to Software Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Comprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Joseph P Vybihal

COMP 250 Intro to Computer Science 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Mathematical tools (binary numbers, induction, recurrence relations, asymptotic complexity, establishing correctness of programs), Data structures (arrays, stacks, queues, linked lists, trees, binary trees, binary search trees, heaps, hash tables), Recursive and nonrecursive algorithms (searching and sorting, tree and graph traversal). Abstract data types, inheritance. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisites: Familiarity with a high level programming language and CEGEP level Math.
 Students with limited programming experience should take COMP 202 or equivalent before COMP 250. See COMP 202 Course Description for a list of topics.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Michael Langer, Giulia Alberini
 Reihaneh Rabbany, Giulia Alberini
Complementary Courses (15 credits)
15 credits selected from the courses below and computer science courses at the 300 level or above (except COMP 364 and COMP 396).

COMP 251 Algorithms and Data Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to algorithm design and analysis. Graph algorithms, greedy algorithms, data structures, dynamic programming, maximum flows.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Corequisite(s): MATH 235 or MATH 240 or MATH 363.
 COMP 251 uses mathematical proof techniques that are taught in the corequisite course(s). If possible, students should take the corequisite course prior to COMP 251.
 COMP 251 uses basic counting techniques (permutations and combinations) that are covered in MATH 240 and 363, but not in MATH 235. These techniques will be reviewed for the benefit of MATH 235 students.
 Restrictions: Not open to students who have taken or are taking COMP 252.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jérôme Waldispuhl
 Adrian Roshan Vetta

COMP 273 Intro to Computer Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Number representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
Offered by: Computer Science
 3 hours
 Corequisite: COMP 206.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Kaleem Siddiqi

MATH 240 Discrete Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Introduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
Offered by: Mathematics and Statistics
 Fall and Winter
 Corequisite: MATH 133.
 Restriction: For students in any Computer Science, Computer Engineering, or Software Engineering programs. Others only with the instructor's permission. Not open to students who have taken or are taking MATH 235.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jeremy D Macdonald
Program Requirement:
This program provides an introduction to the principles of computer science and offers opportunity to get insight into some of its subareas. Having only 45 credits, it allows students to combine it with minor or major concentrations in other disciplines.
Required Courses (18 credits)
* Students who have sufficient knowledge in a programming language do not need to take COMP 202, but it must be replaced with an additional computer science complementary course.

COMP 202 Foundations of Programming 3 Credits*
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisite: a CEGEP level mathematics course
 Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250
 Symbols:
 *
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Giulia Alberini, Elizabeth Patitsas
 Giulia Alberini

COMP 206 Intro to Software Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Comprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Joseph P Vybihal

COMP 250 Intro to Computer Science 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Mathematical tools (binary numbers, induction, recurrence relations, asymptotic complexity, establishing correctness of programs), Data structures (arrays, stacks, queues, linked lists, trees, binary trees, binary search trees, heaps, hash tables), Recursive and nonrecursive algorithms (searching and sorting, tree and graph traversal). Abstract data types, inheritance. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisites: Familiarity with a high level programming language and CEGEP level Math.
 Students with limited programming experience should take COMP 202 or equivalent before COMP 250. See COMP 202 Course Description for a list of topics.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Michael Langer, Giulia Alberini
 Reihaneh Rabbany, Giulia Alberini

COMP 251 Algorithms and Data Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to algorithm design and analysis. Graph algorithms, greedy algorithms, data structures, dynamic programming, maximum flows.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Corequisite(s): MATH 235 or MATH 240 or MATH 363.
 COMP 251 uses mathematical proof techniques that are taught in the corequisite course(s). If possible, students should take the corequisite course prior to COMP 251.
 COMP 251 uses basic counting techniques (permutations and combinations) that are covered in MATH 240 and 363, but not in MATH 235. These techniques will be reviewed for the benefit of MATH 235 students.
 Restrictions: Not open to students who have taken or are taking COMP 252.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jérôme Waldispuhl
 Adrian Roshan Vetta

COMP 273 Intro to Computer Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Number representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
Offered by: Computer Science
 3 hours
 Corequisite: COMP 206.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Kaleem Siddiqi

MATH 240 Discrete Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Introduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
Offered by: Mathematics and Statistics
 Fall and Winter
 Corequisite: MATH 133.
 Restriction: For students in any Computer Science, Computer Engineering, or Software Engineering programs. Others only with the instructor's permission. Not open to students who have taken or are taking MATH 235.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jeremy D Macdonald
Complementary Courses (27 credits)
3 credits from each of the groups A, B, C, and D.
Group A

MATH 222 Calculus 3 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
 Restriction: Not open to students who have taken CEGEP course 201303 or MATH 150, MATH 151 or MATH 227
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jérôme Fortier

MATH 323 Probability 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 141 or equivalent.
 Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
 Restriction: Not open to students who have taken or are taking MATH 356
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jose Andres Correa
 Djivede A Kelome, David B Wolfson

MATH 324 Statistics 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 323 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 357
 You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Masoud AsgharianDastenaei
Group B

MATH 223 Linear Algebra 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 133 or equivalent
 Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Djivede A Kelome
 Jeremy D Macdonald

MATH 318 Mathematical Logic 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Propositional logic: truthtables, formal proof systems, completeness and compactness theorems, Boolean algebras; firstorder logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem.
Offered by: Mathematics and Statistics
 Symbols:
 Terms
 Fall 2019
 Instructors
 Marcin Sabok

MATH 340 Discrete Structures 2 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of mathematical writing, proof techniques, graph theory and counting. Mathematical logic. Graph connectivity, planar graphs and colouring. Probability and graphs. Introductory group theory, isomorphisms and automorphisms of graphs. Enumeration and listing.
Offered by: Mathematics and Statistics
 Winter
 Prerequisites: MATH 235 or MATH 240 or MATH 242.
 Corequisites: MATH 223 or MATH 236.
 Restriction: Not open to students who have taken or are taking MATH 343 or MATH 350.
 Symbols:
 Terms
 Winter 2020
 Instructors
 Jérôme Fortier
Group C

COMP 330 Theory of Computation 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Finite automata, regular languages, contextfree languages, pushdown automata, models of computation, computability theory, undecidability, reduction techniques.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 251.
 Symbols:
 Terms
 Fall 2019
 Instructors
 Claude Crepeau

COMP 350 Numerical Computing 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Computer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Leastsquares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
Offered by: Computer Science
 3 hours
 Prerequisites: MATH 222 and MATH 223 and one of: COMP 202, COMP 208, COMP 250; or equivalents.
 Restrictions: Students cannot receive credit for both COMP 350 and MATH 317.
 Symbols:
 Terms
 Fall 2019
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 360 Algorithm Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Advanced algorithm design and analysis. Linear programming, complexity and NPcompleteness, advanced algorithmic techniques.
Offered by: Computer Science
 3 hours
 Prerequisite: Either COMP 251 or COMP 252, and either MATH 240 or MATH 235 or MATH 363.
 Restriction: Not open to students who have taken or are taking COMP 362.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Hamed Hatami
Group D

COMP 302 Programming Lang & Paradigms 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Programming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Brigitte Pientka
 Prakash Panangaden

COMP 303 Software Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Principles, mechanisms, techniques, and tools for objectoriented software design and its implementation, including encapsulation, design patterns, and unit testing.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Martin Robillard
 Jin Guo
An additional 3 credits may be selected from Group A or B.
The remaining complementary credits must be selected from any COMP courses at the 300 level or above except COMP 364 and COMP 396.
Program Requirement:
Students may complete this program with a minimum of 72 credits or a maximum of 75 credits depending if they are exempt from taking COMP 202.
Honours students must maintain a CGPA of at least 3.00 during their studies and at graduation.
Required Courses (48 credits)
* Students who have sufficient knowledge in a programming language do not need to take COMP 202.
** Students take either MATH 340 or MATH 350.

COMP 202 Foundations of Programming 3 Credits*
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisite: a CEGEP level mathematics course
 Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250
 Symbols:
 *
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Giulia Alberini, Elizabeth Patitsas
 Giulia Alberini

COMP 206 Intro to Software Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Comprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Joseph P Vybihal

COMP 250 Intro to Computer Science 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Mathematical tools (binary numbers, induction, recurrence relations, asymptotic complexity, establishing correctness of programs), Data structures (arrays, stacks, queues, linked lists, trees, binary trees, binary search trees, heaps, hash tables), Recursive and nonrecursive algorithms (searching and sorting, tree and graph traversal). Abstract data types, inheritance. Selected topics.
Offered by: Computer Science
 3 hours
 Prerequisites: Familiarity with a high level programming language and CEGEP level Math.
 Students with limited programming experience should take COMP 202 or equivalent before COMP 250. See COMP 202 Course Description for a list of topics.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Michael Langer, Giulia Alberini
 Reihaneh Rabbany, Giulia Alberini

COMP 252 Honours Algorithms&Data Struct 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): The design and analysis of data structures and algorithms. The description of various computational problems and the algorithms that can be used to solve them, along with their associated data structures. Proving the correctness of algorithms and determining their computational complexity.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250 and either MATH 235 or MATH 240
 Restrictions: (1) Open only to students in Honours programs. (2) Students cannot receive credit for both COMP 251 and COMP 252.
 COMP 252 uses basic combinatorial counting methods that are covered in MATH 240 but not in MATH 235. Students who are unfamiliar with these methods should speak with the instructor for guidance.
 Symbols:
 Terms
 Winter 2020
 Instructors
 Luc P Devroye

COMP 273 Intro to Computer Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Number representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
Offered by: Computer Science
 3 hours
 Corequisite: COMP 206.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Joseph P Vybihal
 Kaleem Siddiqi

COMP 302 Programming Lang & Paradigms 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Programming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 250
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Brigitte Pientka
 Prakash Panangaden

COMP 303 Software Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Principles, mechanisms, techniques, and tools for objectoriented software design and its implementation, including encapsulation, design patterns, and unit testing.
Offered by: Computer Science
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Martin Robillard
 Jin Guo

COMP 310 Operating Systems 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Control and scheduling of large information processing systems. Operating system software  resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 273
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Muthucumaru Maheswaran
 Joseph P Vybihal

COMP 330 Theory of Computation 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Finite automata, regular languages, contextfree languages, pushdown automata, models of computation, computability theory, undecidability, reduction techniques.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 251.
 Symbols:
 Terms
 Fall 2019
 Instructors
 Claude Crepeau

COMP 350 Numerical Computing 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Computer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Leastsquares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
Offered by: Computer Science
 3 hours
 Prerequisites: MATH 222 and MATH 223 and one of: COMP 202, COMP 208, COMP 250; or equivalents.
 Restrictions: Students cannot receive credit for both COMP 350 and MATH 317.
 Symbols:
 Terms
 Fall 2019
 Instructors
 There are no professors associated with this course for the 20192020 academic year

COMP 362 Honours Algorithm Design 3 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): Basic algorithmic techniques, their applications and limitations. Problem complexity, how to deal with problems for which no efficient solutions are known.
Offered by: Computer Science
 3 hours
 Prerequisite: COMP 252
 Restriction: Not open to students who have taken or are taking COMP 360.
 Note: COMP 362 can be used instead of COMP 360 to satisfy prerequisites.
 Symbols:
 Terms
 Winter 2020
 Instructors
 Bruce Alan Reed

COMP 400 Project in Computer Science 4 Credits
 Fall
 Winter
 Summer
Offered in the:Computer Science (Sci): A research project in any area of computer science, involving a programming effort and/or a theoretical investigation, and supervised by a faculty member in the School of Computer Science. Final written report required.
Offered by: Computer Science
 3 hours
 Prerequisites: 15 Computer Science credits.
 Restriction: For Honours students, or nonHonours students with permission of the department.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 There are no professors associated with this course for the 20192020 academic year

MATH 222 Calculus 3 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Offered by: Mathematics and Statistics
 Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
 Restriction: Not open to students who have taken CEGEP course 201303 or MATH 150, MATH 151 or MATH 227
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jérôme Fortier

MATH 223 Linear Algebra 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 133 or equivalent
 Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Djivede A Kelome
 Jeremy D Macdonald

MATH 240 Discrete Structures 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Introduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
Offered by: Mathematics and Statistics
 Fall and Winter
 Corequisite: MATH 133.
 Restriction: For students in any Computer Science, Computer Engineering, or Software Engineering programs. Others only with the instructor's permission. Not open to students who have taken or are taking MATH 235.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jeremy D Macdonald
 Jeremy D Macdonald

MATH 340 Discrete Structures 2 3 Credits**
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Review of mathematical writing, proof techniques, graph theory and counting. Mathematical logic. Graph connectivity, planar graphs and colouring. Probability and graphs. Introductory group theory, isomorphisms and automorphisms of graphs. Enumeration and listing.
Offered by: Mathematics and Statistics
 Winter
 Prerequisites: MATH 235 or MATH 240 or MATH 242.
 Corequisites: MATH 223 or MATH 236.
 Restriction: Not open to students who have taken or are taking MATH 343 or MATH 350.
 Symbols:
 **
 Terms
 Winter 2020
 Instructors
 Jérôme Fortier

MATH 350 Honours Discrete Mathematics 3 Credits**
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Discrete mathematics. Graph Theory: matching theory, connectivity, planarity, and colouring; graph minors and extremal graph theory. Combinatorics: combinatorial methods, enumerative and algebraic combinatorics, discrete probability.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 235 or MATH 240 and MATH 251 or MATH 223.
 Restrictions: Not open to students who have taken or are taking MATH 340. Intended for students in mathematics or computer science honours programs.
 Intended for students in mathematics or computer science honours programs.
 Symbols:
 **
 Terms
 Fall 2019
 Instructors
 Sergey Norin
Complementary Courses (27 credits)
6 credits selected from:

MATH 318 Mathematical Logic 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Propositional logic: truthtables, formal proof systems, completeness and compactness theorems, Boolean algebras; firstorder logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem.
Offered by: Mathematics and Statistics
 Symbols:
 Terms
 Fall 2019
 Instructors
 Marcin Sabok

MATH 323 Probability 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Offered by: Mathematics and Statistics
 Prerequisites: MATH 141 or equivalent.
 Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
 Restriction: Not open to students who have taken or are taking MATH 356
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Jose Andres Correa
 Djivede A Kelome, David B Wolfson

MATH 324 Statistics 3 Credits
 Fall
 Winter
 Summer
Offered in the:Mathematics & Statistics (Sci): Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Offered by: Mathematics and Statistics
 Fall and Winter
 Prerequisite: MATH 323 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 357
 You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
 Symbols:
 Terms
 Fall 2019
 Winter 2020
 Instructors
 Masoud AsgharianDastenaei
The remaining credits selected from computer science courses at the 300 level or above (except COMP 364 and COMP 396) and ECSE 539. At least 12 credits must be at the 500 level.