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Note: This is the 2017–2018 eCalendar. Update the year in your browser's URL bar for the most recent version of this page, or .
Note: This is the 2017–2018 eCalendar. Update the year in your browser's URL bar for the most recent version of this page, or .
24 credits selected from:
Computer Science (Sci) : Ongoing research pertaining to thesis.
Terms: Fall 2017, Winter 2018, Summer 2018
Instructors: Liu, Xue (Fall) Liu, Xue (Winter)
Restriction: Computer Science students
Computer Science (Sci) : Ongoing research pertaining to thesis.
Terms: Fall 2017, Winter 2018, Summer 2018
Instructors: Liu, Xue (Fall) Liu, Xue (Winter)
Restriction: Computer Science students
Computer Science (Sci) : Ongoing research pertaining to thesis.
Terms: Fall 2017, Winter 2018, Summer 2018
Instructors: Liu, Xue (Fall) Liu, Xue (Winter)
Restriction: Computer Science students
Computer Science (Sci) : Ongoing research pertaining to thesis.
Terms: Fall 2017, Winter 2018, Summer 2018
Instructors: Liu, Xue (Fall) Liu, Xue (Winter)
Restriction: Computer Science students
Computer Science (Sci) : Ongoing research pertaining to thesis.
Terms: Fall 2017, Winter 2018, Summer 2018
Instructors: Liu, Xue (Fall) Liu, Xue (Winter)
Restriction: Computer Science students
One credit selected as follows:
Computer Science (Sci) : Techniques and applications in computational science and engineering.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Restriction: This seminar course is open only to students who were admitted to the CSE Program Option.
Students must register for both COMP 669D1 and COMP 669D2.
No credit will be given for this course unless both COMP 669D1 and COMP 669D2 are successfully completed in consecutive terms.
COMP 669D1 and COMP 669D2 together are equal to COMP 669.
Computer Science (Sci) : See COMP 669D1 for course description.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Prerequisite: COMP 669D1.
No credit will be given for this course unless both COMP 669D1 and COMP 669D2 are successfully completed in consecutive terms.
COMP 669D1 and COMP 669D2 together are equal to COMP 669.
and
Computer Science (Sci) : Review of relevant literature in preparation for the M.Sc. research. This includes regular attendance of the Colloquium organized by the School of Computer Science.
Terms: Fall 2017, Winter 2018, Summer 2018
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
(minimum 20 credits)
At least 6 courses whereby at least two courses must be from List A, at least two courses from List B, and the remaining credits to be chosen from graduate (500-, 600-, or 700-level) courses in the School of Computer Science. Two complementary courses must be taken outside the School of Computer Science.
Note: Students with an appropriate background can substitute 3 credits by COMP 696 and 4 credits by COMP 697, but still need to take 6-8 credits from List A and 6-8 credits from List B.
Civil Engineering : Development of displacement based simple and high order, one, two and three dimensional elements for linear elastic stress analysis. Variational and other methods for element formulation. Plate bending and shell elements. Finite element programming. Use of package programs in static analysis of structures.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
(3-0-9)
Computer Science (Sci) : Simulation and modelling processes, state automata, Petri Nets, state charts, discrete event systems, continuous-time models, hybrid models, system dynamics and object-oriented modelling.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Computer Science (Sci) : Designing and programming reliable numerical algorithms. Stability of algorithms and condition of problems. Reliable and efficient algorithms for solution of equations, linear least squares problems, the singular value decomposition, the eigenproblem and related problems. Perturbation analysis of problems. Algorithms for structured matrices.
Terms: Winter 2018
Instructors: Chang, Xiao-Wen (Winter)
Computer Science (Sci) : Use of computer in solving problems in discrete optimization. Linear programming and extensions. Network simplex method. Applications of linear programming. Vertex enumeration. Geometry of linear programming. Implementation issues and robustness. Students will do a project on an application of their choice.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Mathematics & Statistics (Sci) : Development, analysis and effective use of numerical methods to solve problems arising in applications. Topics include direct and iterative methods for the solution of linear equations (including preconditioning), eigenvalue problems, interpolation, approximation, quadrature, solution of nonlinear systems.
Terms: Fall 2017
Instructors: Nave, Jean-Christophe (Fall)
Mathematics & Statistics (Sci) : Numerical solution of initial and boundary value problems in science and engineering: ordinary differential equations; partial differential equations of elliptic, parabolic and hyperbolic type. Topics include Runge Kutta and linear multistep methods, adaptivity, finite elements, finite differences, finite volumes, spectral methods.
Terms: Winter 2018
Instructors: Oberman, Adam (Winter)
Atmospheric & Oceanic Sciences : Introduction to the fluid dynamics of large-scale flows of the atmosphere and oceans. Stratification of atmosphere and oceans. Equations of state, thermodynamics and momentum. Kinematics, circulation, and vorticity. Hydrostatic and quasi-geostrophic flows. Brief introduction to wave motions, flow over topography, Ekman boundary layers, turbulence.
Terms: Fall 2017
Instructors: Straub, David N (Fall)
Atmospheric & Oceanic Sciences : Linear theory of waves in rotating and stratified media. Geostrophic adjustment and model initialization. Wave propagation in slowly varying media. Mountain waves; waves in shear flows. Barotropic, baroclinic, symmetric, and Kelvin-Helmholtz instability. Wave-mean flow interaction. Equatorially trapped waves.
Terms: Winter 2018
Instructors: Straub, David N (Winter)
Atmospheric & Oceanic Sciences : Application of statistical and semi-empirical methods to the study of geophysical turbulence. Reynolds' equations, dimensional analysis, and similarity. The surface and planetary boundary layers. Oceanic mixed layer. Theories of isotropic two- and three- dimensional turbulence: energy and enstrophy inertial ranges. Beta turbulence.
Terms: Winter 2018
Instructors: Bartello, Peter (Winter)
Civil Engineering : Computation of unsteady flows in open channels; abrupt waves, flood waves, tidal propagations; method of characteristics; mathematical modelling of river and coastal currents.
Terms: Fall 2017
Instructors: Chu, Vincent H (Fall)
(3-0-6)
Prerequisite: CIVE 327 or equivalent
Civil Engineering : Dynamic loads on structures; equations of motion of linear single- and multiple-degree-of-freedom systems and of continuous systems; free and forced vibrations; damping in structures; modal superposition and time-history analysis; earthquake effects; provisions of the National Building Code of Canada for seismic analysis.
Terms: Winter 2018
Instructors: Akçelyan, Sarven (Winter)
Computer Science (Sci) : Fundamental mathematical, algorithmic and representational issues in computer graphics: overview of graphics pipeline, homogeneous coordinates, projective transformations, line-drawing 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.
Terms: Winter 2018
Instructors: Kry, Paul (Winter)
Computer Science (Sci) : Biological vision, edge detection, projective geometry and camera modelling, shape from shading and texture, stereo vision, optical flow, motion analysis, object representation, object recognition, graph theoretic methods, high level vision, applications.
Terms: Fall 2017
Instructors: Siddiqi, Kaleem (Fall)
Computer Science (Sci) : Formulation, solution and applications of integer programs. Branch and bound, cutting plane, and column generation algorithms. Combinatorial optimization. Polyhedral methods. A large emphasis will be placed on modelling. Students will select and present a case study of an application of integer programming in an area of their choice.
Terms: Winter 2018
Instructors: Ferland, Jacques; Dimitrakopoulos, Roussos G (Winter)
Computer Science (Sci) : Program analysis and transformations are used in optimizing compilers and other automatic tools such as bug-finders, verification tools and software engineering applications. Course topics include the design of intermediate representations, control flow analysis, data flow analysis at both the intra- and inter-procedural level and program transformations for performance improvement.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Computer Science (Sci) : Efficient and reliable numerical algorithms in estimation and their applications. Linear models and least squares estimation. Maximum-likelihood estimation. Kalman filtering. Adaptive estimation, GPS measurements and mathematical models for positioning. Position estimation. Fault detection and exclusion.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Computer Science (Sci) : Advanced topics in computing systems.
Terms: Fall 2017, Winter 2018
Instructors: Ruths, Derek (Fall) Precup, Doina; Bacon, Pierre-Luc (Winter)
Electrical Engineering : General introduction to optimization methods including steepest descent, conjugate gradient, Newton algorithms. Generalized matrix inverses and the least squared error problem. Introduction to constrained optimality; convexity and duality; interior point methods. Introduction to dynamic optimization; existence theory, relaxed controls, the Pontryagin Maximum Principle. Sufficiency of the Maximum Principle.
Terms: Winter 2018
Instructors: Hoheisel, Tim (Winter)
Electrical Engineering : Introduction to computer graphics systems and display devices: raster scan, scan conversion, graphical input and interactive techniques - window environments; display files: graphics languages and data structures: 2D transformations; 3D computer graphics, hidden line removal and shading; graphics system design; applications. Laboratory project involving the preparation and running of graphics programs.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
(3-0-6)
Prerequisite: ECSE 322
Electrical Engineering : Finite elements for electrostatics. Energy minimization. Semi-conductors. Nonlinear magnetics and Newton-Raphson. Axisymmetric problems. Capacitance, inductance, and resistance through finite elements. Resonance: cavities, waveguides. High order and curvilinear elements.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Electrical Engineering : Design processes in electrical engineering. Hierarchical design. Computer aided design. Expert system technology. Device representations, heuristics and structures, algebraic models. Design versus diagnosis, "Shallow" and "Deep" systems, second generation (multi-paradigm) systems. Shells and their uses in design systems. Knowledge acquisition systems.
Terms: Fall 2017
Instructors: Lowther, David Alister (Fall)
Mathematics & Statistics (Sci) : Kinematics. Dynamics of general fluids. Inviscid fluids, Navier-Stokes equations. Exact solutions of Navier-Stokes equations. Low and high Reynolds number flow.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Mathematics & Statistics (Sci) : Line search methods including steepest descent, Newton's (and Quasi-Newton) methods. Trust region methods, conjugate gradient method, solving nonlinear equations, theory of constrained optimization including a rigorous derivation of Karush-Kuhn-Tucker conditions, convex optimization including duality and sensitivity. Interior point methods for linear programming, and conic programming.
Terms: Winter 2018
Instructors: Hoheisel, Tim (Winter)
Prerequisite: Undergraduate background in analysis and linear algebra, with instructor's approval
Mathematics & Statistics (Sci) : This course covers an advanced topic in applied mathematics.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Mechanical Engineering : Kinematics: equations of motion; vorticity and circulation, conformal mapping and flow round simple bodies. Two-dimensional flow round aerofoils. Three-dimensional flows; high and low aspect-ratio wings; airscrews. Wind tunnel interference. Similarity rules for subsonic irrotational flows.
Terms: Fall 2017
Instructors: Nadarajah, Sivakumaran (Fall)
(3-1-5)
Prerequisite (Undergraduate): MECH 331
Mechanical Engineering : Equations of compressible flows. Planar and conical shock waves. Expansion and shock wave interference; shock tubes. Method of characteristics. Supersonic nozzle design. Aerofoil theory in high subsonic, supersonic and hypersonic flows. Conical flows. Yawed, delta and polygonal wings; rolling and pitching rotations. Wing-body systems. Elements of transonic flows.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
(3-0-6)
Pre/Corequisite (Undergraduate): MECH 533
Mechanical Engineering : Fundamental equations of unsteady compressible flows in fixed or moving reference frames. Unsteady flows past bodies in translation and having oscillatory motions. Oscillations of cylindrical pipes or shells subjected to internal flows. Vortex theory of oscillating aerofoils in incompressible flows. Theodorsen's method. Unsteady compressible flow past oscillating aerofoils.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
(3-0-6)
Prerequisite (Undergraduate): MECH 533
Mechanical Engineering : Fundamental equations. Basic flow singularities. Boundary element methods. Source, doublet and vortex panel methods for 2D and 3D incompressible and compressible flows. Method of characteristics. Euler equations for inviscid rotational flows. Finite-difference and finite-volume methods. Explicit and implicit time-integration methods. Quasi 1D solutions. Nozzle and confined aerofoil applications.
Terms: Winter 2018
Instructors: Brown, David (Winter)
Mechanical Engineering : The role of kinematic synthesis within the design process. Degree of freedom. Kinematic pairs and bonds. Groups and subgroups of displacements. Applications to the qualitative synthesis of parallel-kinematics machines with three and four degrees of freedom. Function, motion and path generation problems in planar, spherical and spatial four-bar linkages. Extensions to six-bar linkages. Cam mechanisms.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Mechanical Engineering : Overview of the field of robotics. Kinematics, statics, singularity analysis and workspace of serial robots with decoupled architecture. Direct and inverse kinematics and dynamics. Algorithms for manipulator kinematics and dynamics.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Mechanical Engineering : Manipulator performance and design. Pick-and-place and continuous-path operations. Computation of rigid-body angular velocity and acceleration from point-data measurements. Inverse kinematics of serial manipulators with coupled architectures; kinetostatics of multifingered hands and walking machines. Kinematics and dynamics of parallel manipulators and wheeled mobile robots.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
(3-0-6)
Prerequisite: MECH 309 or MATH 317, and MECH 572 or permission of the instructor.
Since the course is open to both undergraduate and graduate students, and B- is the minimum passing mark for graduate students, this minimum mark will be relaxed for undergraduates. The regulations applicable to undergraduates will apply accordingly.
Mechanical Engineering : The role of optimization within the design process: Design methodology and philosophy. Constrained optimization: The Kuhn-Tucker conditions. Techniques of linear and non-linear programming. The simplex and the complex methods. Sensitivity of the design to manufacturing errors. Robustness of the design to manufacturing and operation errors.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Mechanical Engineering : Conservation laws control volume analysis, Navier Stokes Equations and some exact solutions, dimensional analysis and limiting forms of Navier Stokes Equations. Vorticity, Potential flow and lift, boundary layer theory, drag, turbulence.
Terms: Winter 2018
Instructors: Najafiyazdi, Mostafa (Winter)
Prerequisite: MECH 605 or permission of instructor
Mechanical Engineering : Explicit and implicit time-integration methods; 2D and 3D finite-difference and finite-volume formulations for subsonic, transonic and supersonic rotational flows. Shock-fitting versus shock-capturing methods. Solution of the Navier-Stokes equations using artificial compressibility. Spectral methods. Lagrangian formulation. Time-accurate methods for unsteady flows with oscillating boundaries.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Evening course
Mechanical Engineering : Review of stress, strain, equilibrium and boundary conditions. Constitutive equations for linear and non-linear elasticity; viscoelasticity; rubber elasticity. Implementation of nonlinear constitutive relations for mechanical engineering applications. Material selection charts and overview of the major classes of materials (metals, polymers, ceramics, cellular materials, composites and biomaterials). Microscale mechanisms and their relation to macroscopic performance. Plasticity in metals: deformation maps, micromechanics, failure criteria, post-yield flow, creep and temperature effects. Structure and properties of polymers, models for plasticity and crazing. Fracture and fatigue, Weibull statistics for ceramics and glasses. Selected advanced topics and discussion of modern materials.
Terms: Fall 2017
Instructors: Barthelat, Francois (Fall)
Mechanical Engineering : Variational methods. Hamilton's principle and equations of motion of engineering systems. Lagrangian formulations for discrete systems. Methods of discretizing continuous systems. Rigid body dynamics. Dynamic behaviour of linear and nonlinear systems. Response of engineering systems to deterministic inputs by classical methods. Stability of linear and nonlinear systems.
Terms: Winter 2018
Instructors: Misra, Arun K (Winter)
Evening course
Mechanical Engineering : Heat conduction: analytical solutions; integral solutions; solid-liquid phase-change. Forced and natural convection: nondimensionalization; boundary layer theory; design correlations for external and internal flows; basic ideas of turbulence modelling. Mixed convection. Boiling and condensation. Radiation heat transfer: basic concepts; black-body enclosure theory; gray-body enclosure theory; participating media.
Terms: This course is not scheduled for the 2017-2018 academic year.
Instructors: There are no professors associated with this course for the 2017-2018 academic year.
Evening course
Mechanical Engineering : A study of numerical methods for solving complex problems involving fluid flow and heat transfer. Finite volume methods, and overview of control-volume finite element methods. Methods for solving large systems of coupled nonlinear algebraic discretized equations. Mathematical models for turbulence.
Terms: Winter 2018
Instructors: Baliga, Bantwal (Winter)
Evening course