Mathematics: Mathematics MSc, PhD Courses | School of Graduate Studies (SGS) Calendar

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
MAT1194H	Algebraic Curves
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
MAT1497H	Professional Development
MAT1498H	Communicating Mathematics to a General Audience
MAT1499H	Teaching Large Mathematics Courses

Applied Mathematics

Course Code	Course Title
MAT1500H	Topics in Graph Theory
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
MAT3002H	Seminar in Applied Mathematics

Research Project

Course Code	Course Title
MAT4000Y	Supervised Research Project