Note: This is the 2020鈥�2021 eCalendar. Update the year in your browser's URL bar for the most recent version of this page, or .
Program Requirements
**This program is under review and currently not offered.**
Thesis Courses (28 credits)
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ECSE 691 Thesis Research 1 (3 credits)
Overview
Electrical Engineering : Independent research work under the direction of the Thesis Supervisor.
Terms: Fall 2020, Winter 2021
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-6)
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ECSE 692 Thesis Research 2 (4 credits)
Overview
Electrical Engineering : Independent research work under the direction of the Thesis Supervisor.
Terms: Fall 2020, Winter 2021
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-9)
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ECSE 693 Thesis Research 3 (4 credits)
Overview
Electrical Engineering : Independent research work under the direction of the Thesis Supervisor.
Terms: Fall 2020, Winter 2021
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-9)
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ECSE 694 Thesis Research 4 (4 credits)
Overview
Electrical Engineering : Independent research work under the direction of the Thesis Supervisor.
Terms: Fall 2020, Winter 2021
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-9)
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ECSE 695 Thesis Research 5 (4 credits)
Overview
Electrical Engineering : Independent research work under the direction of the Thesis Supervisor.
Terms: Fall 2020, Winter 2021
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-9)
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ECSE 696 Thesis Research 6 (4 credits)
Overview
Electrical Engineering : Independent research work under the direction of the Thesis Supervisor.
Terms: Fall 2020, Winter 2021
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-9)
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ECSE 697 Thesis Research 7 (4 credits)
Overview
Electrical Engineering : Independent research work under the direction of the Thesis Supervisor.
Terms: Fall 2020, Winter 2021
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-9)
Required Course (1 credit)
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ECSE 670D1 Computational Science Engineering Seminar (0.5 credits)
Overview
Electrical Engineering : Techniques and applications in computational science and engineering.
Terms: This course is not scheduled for the 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
Restriction: This seminar course is open only to students who were admitted to the CSE Program Option.
Students must register for both ECSE 670D1 and ECSE 670D2.
No credit will be given for this course unless both ECSE 670D1 and ECSE 670D2 are successfully completed in consecutive terms.
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ECSE 670D2 Computational Science Engineering Seminar (0.5 credits)
Overview
Electrical Engineering : See ECSE 670D1 for description.
Terms: This course is not scheduled for the 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
Prerequisite: ECSE 670D1.
No credit will be given for this course unless both ECSE 670D1 and ECSE 670D2 are successfully completed in consecutive terms.
Complementary Courses (18 credits)
(minimum 18 credits)
Six courses at the graduate level (500 or above) are required (minimum 18 credits), with a grade of B- or better. Two courses (minimum 6 credits) from List A, and two courses (minimum 6 credits) from List B. At least two of the courses taken from Lists A and B must be from outside the Department of Electrical and Computer Engineering.
List A: Scientific Computer Courses
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CIVE 602 Finite Element Analysis (4 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-9)
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COMP 522 Modelling and Simulation (4 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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COMP 540 Matrix Computations (4 credits)
Overview
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 2021
Instructors: Chang, Xiao-Wen (Winter)
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COMP 566 Discrete Optimization 1 (3 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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MATH 578 Numerical Analysis 1 (4 credits)
Overview
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 2020
Instructors: Gantumur, Tsog (Fall)
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MATH 579 Numerical Differential Equations (4 credits)
Overview
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 2021
Instructors: Oberman, Adam (Winter)
List B: Applications and Specialized Methods Courses
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ATOC 512 Atmospheric and Oceanic Dynamics (3 credits)
Overview
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 2020
Instructors: Yau, Man K (Fall)
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ATOC 513 Waves and Stability (3 credits)
Overview
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 2021
Instructors: Straub, David N (Winter)
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ATOC 515 Turbulence in Atmosphere and Oceans (3 credits)
Overview
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 2021
Instructors: Bartello, Peter (Winter)
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CIVE 514 Structural Mechanics (3 credits)
Overview
Civil Engineering : Stress, strain, and basic equations of elasticity. Stress function solutions. Stress concentration and failure criteria; elements of linear fracture mechanics. Unsymmetrical bending of beams; shear centres; torsion of thin-walled members. Elementary analysis of plates and their buckling. Membrane stresses in shells.
Terms: This course is not scheduled for the 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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CIVE 572 Computational Hydraulics (3 credits)
Overview
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 2020
Instructors: Chu, Vincent H (Fall)
(3-0-6)
Prerequisite: CIVE 327 or equivalent
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CIVE 603 Structural Dynamics (4 credits)
Overview
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 2021
Instructors: McClure, Ghyslaine (Winter)
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COMP 557 Fundamentals of Computer Graphics (4 credits)
Overview
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: Fall 2020
Instructors: Kry, Paul (Fall)
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COMP 558 Fundamentals of Computer Vision (4 credits)
Overview
Computer Science (Sci) : Image filtering, edge detection, image features and histograms, image segmentation, image motion and tracking, projective geometry, camera calibration, homographies, epipolar geometry and stereo, point clouds and 3D registration. Applications in computer graphics and robotics.
Terms: Fall 2020
Instructors: Langer, Michael (Fall)
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COMP 567 Discrete Optimization 2 (3 credits)
Overview
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: This course is not scheduled for the 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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COMP 621 Program Analysis and Transformations (4 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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COMP 642 Numerical Estimation Methods (4 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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COMP 767 Advanced Topics: Applications 2 (4 credits)
Overview
Computer Science (Sci) : Advanced topics in computing systems.
Terms: Winter 2021
Instructors: Rolnick, David (Winter)
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ECSE 507 Optimization and Optimal Control (3 credits)
Overview
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 2021
Instructors: Raissi Dehkordi, Vahid (Winter)
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ECSE 532 Computer Graphics (4 credits)
Overview
Electrical Engineering : 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: Fall 2020
Instructors: Kry, Paul (Fall)
(3-0-9)
Prerequisite: ECSE 324
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ECSE 547 Finite Elements in Electrical Engineering (3 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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ECSE 549 Expert Systems in Electrical Design (3 credits)
Overview
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: Winter 2021
Instructors: Lowther, David Alister (Winter)
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MATH 555 Fluid Dynamics (4 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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MATH 560 Optimization (4 credits)
Overview
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 2021
Instructors: Paquette, Courtney (Winter)
Prerequisite: Undergraduate background in analysis and linear algebra, with instructor's approval
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MATH 761 Advanced Topics in Applied Mathematics 1 (4 credits)
Overview
Mathematics & Statistics (Sci) : This course covers an advanced topic in applied mathematics.
Terms: Fall 2020
Instructors: Oberman, Adam (Fall)
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MECH 533 Subsonic Aerodynamics (3 credits)
Overview
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 2020
Instructors: Nedic, Jovan (Fall)
(3-1-5)
Prerequisite (Undergraduate): MECH 331
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MECH 537 High-Speed Aerodynamics (3 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-6)
Pre/Corequisite (Undergraduate): MECH 533
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MECH 538 Unsteady Aerodynamics (3 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
(3-0-6)
Prerequisite (Undergraduate): MECH 533
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MECH 539 Computational Aerodynamics (3 credits)
Overview
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: This course is not scheduled for the 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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MECH 541 Kinematic Synthesis (3 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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MECH 572 Mechanics and Control of Robotic Manipulators (3 credits)
Overview
Mechanical Engineering : Historical development and applications of robotic manipulators. Homogeneous transformations and geometry. Forward and inverse kinematics, manipulator Jacobian. Newton-Euler and Lagrangian formulations of inverse and forward dynamics. Trajectory planning for pick-and-place operations. Linear independent joint control and nonlinear model-based control schemes.
Terms: Fall 2020
Instructors: Sharf, Inna (Fall)
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MECH 573 Mechanics of Robotic Systems (3 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 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.
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MECH 577 Optimum Design (3 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
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MECH 610 Fundamentals of Fluid Dynamics (4 credits)
Overview
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 2021
Instructors: Lee, Timothy (Winter)
Prerequisite: MECH 605 or permission of instructor
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MECH 620 Advanced Computational Aerodynamics (4 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
Evening course
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MECH 632 Advanced Mechanics of Materials (4 credits)
Overview
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 2020
Instructors: Vengallatore, Srikar (Fall)
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MECH 642 Advanced Dynamics (4 credits)
Overview
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 2021
Instructors: Kovecses, Jozsef (Winter)
Evening course
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MECH 650 Fundamentals of Heat Transfer (4 credits)
Overview
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 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
Evening course
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MECH 654 Computational Fluid Flow and Heat Transfer (4 credits)
Overview
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: This course is not scheduled for the 2020-2021 academic year.
Instructors: There are no professors associated with this course for the 2020-2021 academic year.
Evening course
