Each year the department offers a selection of courses chosen from the following list, with the possibility of further additions. The courses MAT1000H, 1001H, 1100H, 1101H, 1300H, 1301H, 1600H, and 1601H will be offered each year; the complete list of courses is available from the department. In addition, it may be possible for a student to arrange to take one of the listed courses as an individual reading course. Students should consult the office of the coordinator at the beginning of the academic year.
PhD students are expected to attend and contribute to seminars in the research areas.
| Course Code | Course Title |
|---|---|
|
MAT1000H
|
Real Analysis I
|
|
MAT1001H
|
Real Analysis II
|
|
MAT1002H
|
Complex Analysis
|
|
MAT1004H
|
Theory of Approximation
|
|
MAT1005H
|
Fourier Analysis
|
|
MAT1006H
|
Topics in Real Analysis
|
|
MAT1007H
|
Topics in Complex Variables
|
|
MAT1008H
|
Functions of a Complex Variable
|
|
MAT1010H
|
Functional Analysis
|
|
MAT1011H
|
Introduction to Linear Operators
|
|
MAT1012H
|
Real Analysis II
|
|
MAT1013H
|
Theory of Several Complex Variables II
|
|
MAT1015H
|
Topics in Operator Theory
|
|
MAT1016Y
|
Topics in Operator Algebras
|
|
MAT1017H
|
Introduction to K-theory for Operator Algebras
|
|
MAT1034H
|
Topics in Harmonic Analysis
|
|
MAT1037H
|
Von Neumann Algebras
|
|
MAT1045H
|
Topics in Ergodic Theory
|
|
MAT1051H
|
Introduction to Ordinary Differential Equations
|
|
MAT1060H
|
Partial Differential Equations I
|
|
MAT1061H
|
Partial Differential Equations II
|
|
MAT1062H
|
Topics in Partial Differential Equations I
|
| MAT1064H | Elliptic Boundary Value Problems on Nonsmooth Domains |
|
MAT1100H
|
Algebra I
|
|
MAT1101H
|
Algebra II
|
|
MAT1103H
|
Topics in Algebra I
|
|
MAT1104H
|
Topics in Algebra II
|
|
MAT1105H
|
Topics in Representation Theory
|
|
MAT1109H
|
Classical Groups
|
|
MAT1110H
|
Algebraic Groups
|
|
MAT1120H
|
Lie Groups and Lie Algebras I
|
|
MAT1126H
|
Lie Groups and Fluid Dynamics
|
|
MAT1128H
|
Topics in Probability
|
|
MAT1155H
|
Commutative Algebra
|
|
MAT1190H
|
Algebraic Geometry
|
|
MAT1191H
|
Topics in Algebraic Geometry
|
|
MAT1192H
|
Advanced Topics in Algebraic Geometry
|
|
MAT1196H
|
Representation Theory
|
|
MAT1197H
|
Automorphic Forms and Representation Theory I
|
|
MAT1198H
|
Automorphic Forms and Representation Theory II
|
|
MAT1199H
|
Automorphic Forms
|
|
MAT1200H
|
Algebraic Number Theory
|
|
MAT1202H
|
Analytic Number Theory
|
|
MAT1203H
|
Computational Aspects of Number Theory
|
|
MAT1210H
|
Topics in Number Theory
|
|
MAT1300H
|
Differential Topology
|
|
MAT1301H
|
Algebraic Topology
|
|
MAT1302H
|
Combinatorial Methods
|
|
MAT1303H
|
Combinatorial Designs
|
|
MAT1304H
|
Topics in Combinatorics
|
|
MAT1305H
|
Topics in Geometric Topology
|
| MAT1306H | The Discrete Mathematics Toolkit |
|
MAT1309H
|
Geometrical Inequalities
|
|
MAT1312H
|
Topics in Geometry
|
|
MAT1313Y
|
Seminar in Geometry
|
|
MAT1314H
|
Introduction to Noncommutative Geometry
|
|
MAT1318H
|
Seminar in Geometry and Topology
|
|
MAT1340H
|
Differential Topology
|
|
MAT1341H
|
Topics in Differential Geometry
|
|
MAT1342H
|
Introduction to Differential Geometry
|
|
MAT1343H
|
Riemannian Manifolds
|
|
MAT1344H
|
Symplectic Geometry
|
|
MAT1346H
|
Homotopy Theory
|
|
MAT1347H
|
Topics in Symplectic Geometry and Topology
|
|
MAT1351H
|
Topics in Homotopy Theory
|
|
MAT1355H
|
Singularity Theory
|
|
MAT1359H
|
Moduli Spaces of Flat Connections
|
|
MAT1360H
|
Complex Manifolds
|
|
MAT1392H
|
Algebra Seminar
|
|
MAT1399H
|
Advanced Point Set Topology
|
|
MAT1403H
|
Model Theory
|
|
MAT1404H
|
Introduction to Model Theory and Set Theory
|
|
MAT1430H
|
Set Theory
|
|
MAT1435H
|
Topics in Set Theory
|
|
MAT1449H
|
Seminar in Foundations
|
| MAT1498H | Communicating Mathematics to a General Audience (Credit/No Credit) |
|
MAT1499H
|
Teaching Large Mathematics Courses (Credit/No Credit)
|
Applied Mathematics
| Course Code | Course Title |
|---|---|
|
MAT1500Y
|
Applied Analysis
|
|
MAT1502H
|
Topics in Geometric Analysis
|
|
MAT1507H
|
Asymptotic and Perturbation Methods
|
|
MAT1508H
|
Techniques of Applied Mathematics
|
| MAT1509H | Mathematical and Computational Linguistics |
|
MAT1520H
|
Wave Propagation
|
| MAT1525H | Topics in Inverse Problems and Image Analysis |
|
MAT1525Y
|
Inverse Problems of X-Ray and Radar Imaging
|
|
MAT1600H
|
Mathematical Probability I
|
|
MAT1601H
|
Mathematical Probability II
|
|
MAT1639Y
|
Topics in Fluid Mechanics
|
|
MAT1700H
|
General Relativity
|
|
MAT1710H
|
Group Theory and Quantum Mechanics
|
|
MAT1722H
|
C* Algebras and Quantum Mechanics
|
|
MAT1723H
|
Foundations of Quantum Mechanics
|
|
MAT1724H
|
Functional Analysis in Quantum Mechanics
|
|
MAT1725Y
|
Scattering Theory
|
|
MAT1739H
|
Topics in Mathematical Physics
|
|
MAT1750H
|
Computational Mathematics
|
| MAT1751H | Quantum Computing, Foundations to Frontier |
|
MAT1760H
|
Computer Algebra
|
|
MAT1761H
|
Algorithms in Algebraic Geometry
|
| MAT1800H | Methods of Applied Mathematics I |
| MAT1801H | Methods of Applied Mathematics II |
| MAT1839H | Integral Equation Methods for the Numerical Solution of PDEs |
|
MAT1840H
|
Control Theory
|
|
MAT1841H
|
Mathematics of Massive Data Analysis: Fundamentals and Applications
|
| MAT1844H | Nonlinear Dynamical Systems |
|
MAT1845H
|
Dynamical Systems
|
|
MAT1847H
|
Holomorphic Dynamics
|
| MAT1850H | Linear Algebra and Optimization |
|
MAT1855H
|
Mathematical Problems in Economics
|
|
MAT1856H
|
Mathematical Finance
|
|
MAT1880H
|
Case Studies in Applied Mathematics
|
Individual Reading Courses
| Course Code | Course Title |
|---|---|
|
MAT1900Y
|
Readings in Pure Mathematics
|
|
MAT1901H
|
Readings in Pure Mathematics
|
|
MAT1902H
|
Readings in Pure Mathematics
|
| MAT1950Y | Readings in Applied Mathematics |
|
MAT1951H
|
Readings in Applied Mathematics
|
Seminars
| Course Code | Course Title |
|---|---|
|
MAT3001H
|
Seminar in Pure Mathematics (Credit/No Credit)
|
|
MAT3002H
|
Seminar in Applied Mathematics (Credit/No Credit)
|
Research Project
| Course Code | Course Title |
|---|---|
|
MAT4000Y+
|
Supervised Research Project
|
+ Extended course. For academic reasons, coursework is extended into session following academic session in which course is offered.