Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Advice for Undergraduate Students

First Year MATH Applied Science Courses


100 Level Courses
APSC 171  - Calculus I

Lecture: 2.8
Lab: 0
Tutorial: 0.5
Graphs and derivatives of vector-valued functions; related applications.  Implicit derivatives and related rate applications. Fundamental Theorem of Calculus, Riemann integral; applications to problems involving areas, volumes, mass, charge, work, etc. Integration by substitution, by parts, and partial fractions.  Introduction to second-order differential equations and complex numbers.

Academic Units:
Mathematics 40
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

APSC 172  - Calculus II

Lecture: 2.8
Lab: 0
Tutorial: 0.5
This course continues calculus concepts from APSC 171, including space curves, speed, and velocity. Functions of several variables, partial derivatives, differentials, error estimates, gradient, maxima and minima. Double and triple integrals, polar and cylindrical coordinates; applications to mass, center of mass, moment. Series, power series; Taylor polynomial approximations, error analysis.

Academic Units:
Mathematics 40
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 171 

APSC 174  - Introduction to Linear Algebra

Lecture: 2.8
Lab: 0
Tutorial: 0.5
Systems of linear equations; real vectors spaces and subspaces; linear combinations and linear spans; linear dependence and linear independence; applications to systems of linear equations and their solution via Gaussian elimination; bases and dimension of real vector spaces; linear transformations, range, kernel and Rank-Nullity theorem; matrix representation of a linear transformation; composition of linear transformations and matrix multiplication; invertible matrices and determinants; eigenvalues and eigenvectors of square matrices. Applications of the course material to engineering systems are illustrated.

Academic Units:
Mathematics 40
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

 

Undergraduate MTHE Courses


200 Level Courses
MTHE 212  - Linear Algebra
Lecture: 3
Tutorial: 0.5
Vector spaces, direct sums, linear transformations, eigenvalues, eigenvectors, inner product spaces, self-adjoint operators, positive operators, singular-value decomposition, minimal polynomials, Jordan canonical form, the projection theorem, applications to approximation and optimization problems.

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 174 
EXCLUSION(S): MTHE 312 (MATH 312)

MTHE 217  - Algebraic Structures with Applications
Lecture: 3
Lab: 0
Tutorial: 0.5
The purpose of the course is to provide an introduction to abstract algebraic systems and to illustrate the concepts with engineering applications. Topics include symbolic logic; switching and logic circuits; set theory, equivalence relations and mappings; the integers and modular arithmetic; groups, cyclic groups, Lagrange’s theorem, group quotients, group homomorphisms and isomorphisms; applications to error-control codes for noisy communication channels.

Academic Units:
Mathematics 30
Natural Sciences 0
Complementary Studies 0
Engineering Science 12
Engineering Design 0

PREREQUISITE(S): APSC 174

MTHE 224  - Applied Mathematics for Civil Engineers
Lecture: 3
Lab: 0.4
Tutorial: 0.8
The course will discuss the application of linear differential equations with constant coefficients, and systems of linear equations within the realm of civil engineering. Additionally, the course will explore relevant data analysis techniques including: graphical and statistical analysis and presentation of experimental data, random sampling, estimation using confidence intervals, linear regression, residuals and correlation.

Academic Units:
Mathematics 50
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 142, APSC 172, APSC 174
EXCLUSION(S): MTHE 225 (MATH 225), MATH 226, MTHE 235 (MATH 235), MTHE 237 (MATH 237), STAT 267, MTHE 367 (STAT 367)

MTHE 225  - Ordinary Differential Equations
Lecture: 3
Lab: 0
Tutorial: 0.5
First order differential equations, linear differential equations with constant coefficients, and applications, Laplace transforms, systems of linear equations.

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 171, APSC 172, APSC 174 

MTHE 227  - Vector Analysis
Lecture: 3
Lab: 0
Tutorial: 0
Review of multiple integrals. Differentiation and integration of vectors; line, surface and volume integrals; gradient, divergence and curl; conservative fields and potential. Spherical and cylindrical coordinates, solid angle. Green’s and Stokes’ theorems, the divergence theorem.

Academic Units:
Mathematics 36
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 171, APSC 172, APSC 174

MTHE 228  - Complex Analysis
Lecture: 3
Lab: 0
Tutorial: 0.5
Complex arithmetic, complex plane. Differentiation, analytic functions. Elementary functions. Elementary functions. Contour integration, Cauchy’s Theorem and Integral Formula. Taylor and Laurent series, residues with applications to evaluation of integrals.

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 171, APSC 172, APSC 174

MTHE 232  - Differential Equations

DELETED

Introduction to ordinary differential equations and their applications to the physical and social sciences. Topics may include: numerical solutions, power series and series solutions, Laplace transforms. - COURSE DELETED 2015-2016

Academic Units:
Mathematics 36
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 171, APSC 172, APSC 174
EXCLUSION(S): MTHE 225 (MATH 225), MATH 226, MATH 231, MTHE 235 (MATH 235), MTHE 237 (MATH 237)

MTHE 235  - Differential Equations for Electrical & Computer Engineers
Lecture: 3
Lab: 0
Tutorial: 0
First order differential equations, linear differential equations with constant coefficients. Laplace transforms. Systems of linear differential equations. Introduction to numerical methods for ODEs. Examples involving the use of differential equations in solving circuits will be presented.

Academic Units:
Mathematics 27
Natural Sciences 0
Complementary Studies 0
Engineering Science 9
Engineering Design 0

PREREQUISITE(S): APSC 171, APSC 172, APSC 174

MTHE 237  - Differential Equations for Engineering Science
Lecture: 3
Lab: 0
Tutorial: 0.25
Topics include models for dynamical systems, classification of differential equations, methods for solving differential equations, systems of equations and connections with Linear Algebra, stability of dynamical systems and Lyapunov’s method, the Laplace Transform method, and numerical and computer methods.

Academic Units:
Mathematics 18
Natural Sciences 11
Complementary Studies 0
Engineering Science 10
Engineering Design 0

PREREQUISITE(S): APSC 171, APSC 172, APSC 174
EXCLUSION(S): MATH 231, MTHE 232 (MATH 232)

MTHE 272  - Application of Numerical Methods
Lecture: 3
Lab: 0.5
Tutorial: 0
An introductory course on the effective use of computers in science and engineering. Topics include: solving linear and nonlinear equations, interpolation, integration, and numerical solution of ordinary differential equations. Extensive use is made of MATLAB, a high level interactive numerical package.

Academic Units:
Mathematics 20
Natural Sciences 0
Complementary Studies 0
Engineering Science 11
Engineering Design 11

PREREQUISITE(S): APSC 174 or equivalent (Note: some programming experience is important for the course)
COREQUISITE(S): MTHE 225 or MTHE 235 or MTHE 232 or equivalent.

MTHE 280  - Advanced Calculus
Lecture: 3
Lab: 0
Tutorial: 0.5
Limits, Continuity, C’, and linear approximations of functions of several variables. Multiple integrals and Jacobians, Line and surface integrals. The theorems of Green, Stokes, and Gauss.

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 172, APSC 174
EXCLUSION(S): MATH 221, MTHE 227 (MATH 227)

MTHE 281  - Introduction to Real Analysis
Lecture: 3
Lab: 0
Tutorial: 0.5
Taylor’s theorem, optimization, implicit and inverse function theorems. Elementary topology of Euclidean spaces. Sequences and series of numbers and functions. Pointwise and uniform convergence. Power series.

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 172

300 Level Courses
MTHE 312  - Linear Algebra

DELETED

Vector spaces, linear transformations and matrices. Linear equations. Determinants. Eigenvalues and eigenvectors. Normal forms. Linear functions and dual spaces. Bilinear functions, quadratic and hermitian forms. Inner product spaces, the projection theorem and applications to approximation and optimization problems. - COURSE DELETED 2015-2016

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): MTHE 217 (MATH 217) or permission of the instructor.

MTHE 326  - Functions of a Complex Variable
Lecture: 3
Lab: 0
Tutorial: 0.5
Complex numbers, analytic functions, harmonic functions. Cauchy’s theorem. Taylor and Laurent series. Calculus of residues. Rouche’s theorem.

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): MTHE 280 (MATH 280), MTHE 281 (MATH 281)

MTHE 332  - Introduction to Control
Lecture: 3
Lab: 0.5
Tutorial: 0.5
Modeling control systems, linearization around an equilibrium point. Block diagrams, impulse response, transfer function, frequency response. Controllability and observability, LTI realizations. Feedback and stability, Lyapunov stability criterion, pole placement, Routh criterion. Input/output stability, design of PID controllers, Bode plots, Nyquist plots, Nyquist stability criterion, robust controllers.Laboratory experiments illustrate the control concepts learned in class.

Academic Units:
Mathematics 15
Natural Sciences 5
Complementary Studies 0
Engineering Science 23
Engineering Design 5

PREREQUISITE(S): MTHE 326 (MATH 326)
COREQUISITE(S): MTHE 335 

MTHE 333  - Control-Robotics Lab I

DELETED

This laboratory introduces the use of motion control devices such as optical encoders, pulse width amplifiers and armature controlled DC servo motors. The experiments complement the analytical and theoretical work on control taken in other third year courses. Students design and implement proportional, proportional-derivative, and proportional-integral-derivative controllers. - COURSE DELETED 2012-2013

Academic Units:
Mathematics 0
Natural Sciences 0
Complementary Studies 0
Engineering Science 4
Engineering Design 8

COREQUISITE(S): MTHE 332

MTHE 334  - Mathematical Methods for Engineering & Physics
Lecture: 3
Lab: 0
Tutorial: 0.5
Banach and Hilbert spaces of continuous- and discrete-time signals; spaces of continuous and not necessarily continuous signals; continuous-discrete Fourier transform; continuous-continuous Fourier transform; discrete-continuous Fourier transform; discrete-discrete Fourier transform; transform inversion using Fourier series and Fourier integrals.

Academic Units:
Mathematics 28
Natural Sciences 0
Complementary Studies 0
Engineering Science 14
Engineering Design 0

PREREQUISITE(S): MTHE 212 (MATH 212), MTHE 281 (MATH 281)

MTHE 335  - Mathematics of Engineering Systems
Lecture: 3
Lab: 0
Tutorial: 0.5
Linear input/output systems and their stability. Frequency-domain and time-domain analysis. Continuous and discrete-time modeling. Fourier, Laplace, and Z-transforms. Sampling and the discrete-time Fourier transform. Applications to modulation of communications signals, filter design, and digital sampling.

Academic Units:
Mathematics 15
Natural Sciences 6
Complementary Studies 0
Engineering Science 10
Engineering Design 11

PREREQUISITE(S): MTHE 334 (MATH 334), MTHE 326 (MATH 326) or MTHE 228 (MATH 228)

MTHE 337  - Introduction to Operations Research Models

NOT OFFERED THIS YEAR

Lecture: 3
Lab: 0
Tutorial: 0
Some probability distributions, simulation, Markov chains, queuing theory, dynamic programming, inventory theory.

Academic Units:
Mathematics 18
Natural Sciences 0
Complementary Studies 0
Engineering Science 9
Engineering Design 9

PREREQUISITE(S): APSC 174 , MTHE 367  and permission of the instructor

MTHE 338  - Fourier Methods for Boundary Value Problems
Lecture: 3
Lab: 0
Tutorial: 0.5
Methods and theory for ordinary and partial differential equations; separation of variables in rectangular and cylindrical coordinate systems; sinusoidal and Bessel orthogonal functions; the wave, diffusion, and Laplace’s equation; Sturm-Liouville theory; Fourier transform techniques.

Academic Units:
Mathematics 28
Natural Sciences 0
Complementary Studies 0
Engineering Science 14
Engineering Design 0

PREREQUISITE(S): MTHE 227 (MATH 227) or MTHE 280 (MATH 280), MTHE 237 (MATH 237) or MTHE 225 (MATH 225), or permission of the instructor

MTHE 339  - Evolutionary Game Theory
Lecture: 3
Lab: 0
Tutorial: 0
This course highlights the usefulness of game theoretical approaches in solving problems in the natural sciences and economics. Basic ideas of game theory, including Nash equilibrium and mixed strategies; stability using approaches developed for the study of dynamical systems, including evolutionary stability and replicator dynamics; the emergence of co-operative behaviour; limitations of applying the theory to human behaviour.

Academic Units:
Mathematics 18
Natural Sciences 9
Complementary Studies 9
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): APSC 172 or MATH 120 (or MATH 121); APSC 174 or MATH 110 (or MATH 111) recommended
EXCLUSION(S): MATH 239
 

MTHE 351  - Probability I
Lecture: 3
Lab: 0
Tutorial: 0.5
Probability theory: probability models; random variables; jointly distributed random variables; transformations and generating functions. Inequalities and limit laws. Distributions: binomial, Poisson, exponential, gamma, normal. Applications: elementary stochastic processes, time-to-failure models, binary communication channels with Gaussian noise.

Academic Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

COREQUISITE(S): MTHE 280
EXCLUSION(S): STAT 251

MTHE 353  - Probability II
Lecture: 3
Lab: 0
Tutorial: 0
Intermediate probability theory as a basis for further study in mathematical statistics and stochastic processes; probability measures, expectations; modes of convergence of sequences of random variables; conditional expectations; independent systems of random variables; Gaussian systems; characteristic functions; Law of large numbers, Central limit theory; some notions of dependence.

Academic Units:
Mathematics 36
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0

PREREQUISITE(S): STAT 251 or MTHE 351 (STAT 351), APSC 174, MTHE 281 (MATH 281)

MTHE 367  - Engineering Data Analysis
Lecture: 3
Lab: 0
Tutorial: 0.5
Exploratory data analysis – graphical and statistical analysis and presentation of experimental data. Random sampling. Probability and probability models for discrete and continuous random variables. Process capability. Normal probability graphs. Sampling distribution of means and proportions. Statistical Quality Control and Statistical Process Control. Estimation using confidence intervals. Testing of hypothesis procedures for means, variances and proportions – one and two samples cases. Liner regression, residuals and correlation. ANOVA. Use of statistical software.

Academic Units:
Mathematics 31
Natural Sciences 0
Complementary Studies 0
Engineering Science 11
Engineering Design 0

PREREQUISITE(S): APSC 171, APSC 172
EXCLUSION(S): STAT 261, STAT 263, STAT 266, STAT 267

MTHE 393  - Engineering Design & Practice for Mathematics & Engineering
Lecture: Yes
Lab: Yes
Tutorial: Yes
This is a project-based design course where methods of applied mathematics are used to solve a complex open-ended engineering problem. The projects involve using system theoretic methods for modeling, analysis, and design applied to engineering problems arising in a variety of engineering disciplines. Students will work in teams and employ design processes to arrive at a solution. The course will include elements of communications, economic analysis, impacts of engineering, professionalism, and engineering ethics.

Academic Units:
Mathematics 0
Natural Sciences 0
Complementary Studies 12
Engineering Science 0
Engineering Design 36

PREREQUISITE(S): APSC 200
COREQUISITE(S): MTHE 332, MTHE 335

400 Level Courses
MTHE 406  - Introduction to Coding Theory

NOT OFFERED 2017-2018

Lecture: 3
Lab: 0
Tutorial: 0
Construction and properties of finite fields. Polynomials, vector spaces, block codes over finite fields. Hamming distance and other code parameters. Bounds relating code parameters. Cyclic codes and their structure as ideals. Weight distribution. Special codes and their relation to designs and projective planes. Decoding algorithms.

Academic Units:
Mathematics 14
Natural Sciences 0
Complementary Studies 0
Engineering Science 12
Engineering Design 10

PREREQUISITE(S): MTHE 217 (MATH 217)

MTHE 418  - Number Theory & Cryptography
Lecture: 3
Lab: 0
Tutorial: 0
Time estimates for arithmetic and elementary number theory algorithms (division algorithm, Euclidean algorithm, congruences), modular arithmetic, finite fields, quadratic residues. Simple cryptographic systems; public key, RSA. Primality and factoring: pseudoprimes, Pollard’s rho-method, index calculus. Elliptic curve cryptography.

Academic Units:
Mathematics 18
Natural Sciences 0
Complementary Studies 0
Engineering Science 9
Engineering Design 9

PREREQUISITE(S): MTHE 217 (MATH 217) or MATH 210 or MATH 211 with permission of the instructor

MTHE 430  - Modern Control Theory
Lecture: 3
Lab: 0.5
Tutorial: 0.5
This course covers core topics in modern control theory: Linearization, existence and uniqueness of trajectories for nonlinear and linear systems, the transition matrix, controllability, observabiity, minimal realizations, feedback stabilization, linear state observers, optimal control theory, the linear quadratic regulator, dynamic programming.

Academic Units:
Mathematics 18
Natural Sciences 6
Complementary Studies 0
Engineering Science 18
Engineering Design 6

PREREQUISITE(S): MTHE 237 (MATH 237), MTHE 212 (MATH 212) or MTHE 312 (MATH 312), MTHE 326 (MATH 326), MTHE 332 (MATH 332), or permission of the instructor

MTHE 434  - Optimization Theory & Applications

NOT OFFERED THIS YEAR

Lecture: 3
Lab: 0
Tutorial: 0.5
Theory of convex sets and functions; separation theorems; primal-dual properties; geometric treatment of optimization problems; algorithmic procedures for solving constrained optimization programs; engineering and economic applications.

Academic Units:
Mathematics 15
Natural Sciences 0
Complementary Studies 0
Engineering Science 15
Engineering Design 12

PREREQUISITE(S): MTHE 281  (MATH 281), MTHE 212 (MATH 212), or permission of the instructor

MTHE 437  - Topics in Applied Mathematics

DELETED

Lecture: 3
Lab: 0
Tutorial: 0
Subject matter to vary from year to year. - COURSE DELETED 2013-2014

Academic Units:
Mathematics 9
Natural Sciences 0
Complementary Studies 0
Engineering Science 9
Engineering Design 18

PREREQUISITE(S): Permission of the instructor

MTHE 439  - Lagrangian Mechanics, Dynamics, and Control
Lecture: 3
Lab: 0
Tutorial: 0.5
Geometric modelling, including configuration space, tangent bundle, kinetic energy, inertia, and force. Euler-Lagrange equations using affine connections. The last part of the course develops one of the following three applications: mechanical systems with nonholonomic constraints; control theory for mechanical systems; equilibria and stability.

Academic Units:
Mathematics 20
Natural Sciences 0
Complementary Studies 0
Engineering Science 11
Engineering Design 11

PREREQUISITE(S): MTHE 280 (MATH 280), MTHE 281 (MATH 281), MTHE 237 (MATH 237) or MATH 231, or permission of the instructor

MTHE 454  - Statistical Spectrum Estimation

NOT OFFERED THIS YEAR

Lecture: 3
Lab: 0
Tutorial: 0
Many systems evolve with an inherent amount of randomness in time and/or space. The focus of this course is on developing and analyzing methods for analyzing time series. Because most of the common time–domain methods are unreliable, the emphasis is on frequency–domain methods, i.e. methods that work and expose the bias that plagues most time–domain techniques. Slepian sequences (discrete prolate spheroidal sequences) and multi–taper methods of spectrum estimation are covered in detail.

Academic Units:
Mathematics 12
Natural Sciences 0
Complementary Studies 0
Engineering Science 12
Engineering Design 12

PREREQUISITE(S): MTHE 353 (STAT 353), MTHE 312 (MATH 312); or MTHE 338 (MATH 338), STAT 251; or STAT 261, MATH 321; or permission or the instructor

MTHE 455  - Stochastic Processes & Applications
Lecture: 3
Lab: 0
Tutorial: 0.5
Markov chains, birth and death processes, random walk problems, elementary renewal theory, Markov processes, Brownian motion and Poisson processes, queuing theory, branching processes.

Academic Units:
Mathematics 28
Natural Sciences 0
Complementary Studies 0
Engineering Science 14
Engineering Design 0

PREREQUISITE(S): MTHE 353 (STAT 353) or one of STAT 251, MTHE 351 (STAT 351), ELEC 326 with permission of the instructor

MTHE 472  - Control of Stochastic Systems
Lecture: 3
Lab: 0
Tutorial: 0
Optimal control of stochastic systems with applications to engineering systems and applied mathematics. Topics include Markov chains and stochastic stability, Martingales, dynamic programming, fully observed and partially observed models, non-linear filtering, Kalman Filtering, linear programming approach, team decision and information structures.

Academic Units:
Mathematics 18
Natural Sciences 0
Complementary Studies 0
Engineering Science 9
Engineering Design 9

PREREQUISITE(S): MTHE 351 (STAT 351), MTHE 332 (MATH 332), or permission of the instructor
 

MTHE 474  - Information Theory
Lecture: 3
Lab: 0
Tutorial: 0
Topics include: information measures, entropy, mutual information, modeling of information sources, lossless data compression, block encoding, variable-length encoding, Kraft inequality, fundamentals of channel coding, channel capacity, rate-distortion theory, lossy data compression, rate-distortion theorem.

Academic Units:
Mathematics 9
Natural Sciences 0
Complementary Studies 0
Engineering Science 17
Engineering Design 10

PREREQUISITE(S): STAT 251 or MTHE 351 (STAT 351) or ELEC 326

MTHE 477  - Data Compression & Source Coding
Lecture: 3
Lab: 0
Tutorial: 0
Topics include: arithmetic coding, universal lossless coding, Lempel-Ziv and related dictionary based methods, rate-distortion theory, scalar and vector quantization, predictive and transform coding, applications to speech and image coding.

Academic Units:
Mathematics 0
Natural Sciences 0
Complementary Studies 0
Engineering Science 21
Engineering Design 15

PREREQUISITE(S): MTHE 474 (MATH 474)

MTHE 478  - Topics in Communication Theory

NOT OFFERED THIS YEAR

Lecture: 3
Lab: 0
Tutorial: 0
Subject matter will vary from year to year. Possible subjects include: constrained coding and applications to magnetic and optical recording; data compression; theory and practice of error-control coding; design and performance analysis of communication networks; and other related topics.

Academic Units:
Mathematics 0
Natural Sciences 0
Complementary Studies 0
Engineering Science 18
Engineering Design 18

PREREQUISITE(S): Permission of the instructor

MTHE 484  - Data Networks

NOT OFFERED THIS YEAR

Lecture: 3
Lab: 0
Tutorial: 0
This course covers performance models for data networking, delay models and loss models; analysis of multiple access systems, routing, and flow control; multiplexing; priority systems; satellite multiple access, wireless networking, wireless sensor networks. Knowledge of networking protocols is not required.

Academic Units:
Mathematics 10
Natural Sciences 0
Complementary Studies 0
Engineering Science 26
Engineering Design 0

PREREQUISITE(S): MTHE 455 (STAT 455) or permission of the instructor

MTHE 493  - Engineering Mathematics Project

Lecture: No
Lab: Yes
Tutorial: Yes
This is the capstone design course for Mathematics and Engineering. Students must work in groups, with a typical group size being between two and four members. Projects are selected early in the year from a list put forward by Mathematics and Engineering faculty members who will also supervise the projects. There is a heavy emphasis on engineering design and professional practice. All projects must be open-ended and design oriented, and students are expected to undertake and demonstrate, in presentations and written work, a process by which the design facets of the project are approached. Projects must involve social, environmental, and economic factors, and students are expected to address these factors comprehensively in presentations and written work. Students are assessed individually and as a group on their professional conduct during the course of the project.

Academic Units:
Mathematics 0
Natural Sciences 0
Complementary Studies 23
Engineering Science 27
Engineering Design 40

MTHE 494  - Mathematics & Engineering Seminar

Lecture: 3
Lab: 0
Tutorial: 0
This is a seminar and course, with an emphasis on communication skills and professional practice. A writing module develops technical writing skills. Students give an engineering presentation to develop their presentation skills. Seminars are given by faculty from the Mathematics and Engineering program, by Mathematics and Engineering alumni on the career paths since completing the program, and by visiting speakers on a variety of professional practice matters, on topics such as workplace safety, workplace equity and human rights, and professional organizations. Open to Mathematics and Engineering students only.

Academic Units:
Mathematics 0
Natural Sciences 0
Complementary Studies 26
Engineering Science 10
Engineering Design 0