MATH 5GT3

GRADUATE LEVEL TOPICS IN MATHEMATICS

Undergraduate

Winter 2026 · Graduate Level Topics In Math · C06

Readings

Representations Of Compact Lie Groups
T. Brocker And T. Tom Dieck · Required
ISBN 9783642057250

Fall 2026 · Graduate Level Topics In Math · C01

Fall 2026 · Graduate Level Topics In Math · C04

eText Introduction To Differential Manifolds - 6 Month Access
Lafontaine · Suggested
ISBN 9783319207353

Fall 2026 · C01

Linear Algebra (vector spaces, quotient space, tensor products, direct sums, linear transformations, generalized eigenspaces, spectral decomposition)
Group Theory (groups, direct and semi-direct products, Sylow Theorems, Fundamental Theorem of Finite Abelian Groups)
Ring Theory (Rings, Euclidean Domains, Principal Ideal Domains, UFDs, Noetherian Rings, primary decomposition of ideals)
Module Theory (introduction to modules, finitely generated modules over PIDs)
Field Theory (introduction to fields, fields extensions, splitting fields, Nullstellensatz)

Abstract Algebra (Third Edition)
D. Dummit and R. Foote · 2004 · Required
Wiley · ISBN 0-471-43334-9
Abstract Algebra (Third Edition) ISBN: 0-471-43334-9 Authors: D. Dummit and R. Foote Publisher: Wiley Publication Date: 2004 A new copy of this book costs $160.00 on Amazon.ca. Used copies can be used, as well as earlier or electronic editions.
See source

Fall 2026 · General Outline

Undergraduate students may seek permission to enrol in selected graduate level offerings. Refer to the Graduate Calendar for course information.

Fall 2025 · Graduate Level Topics In Math · C02

Etext Introduction To Real Analysis - 6 Month Access Ed: 4
Bartle · 4 · Required
ISBN 9781119496786; 9780471433316

Fall 2025 · Graduate Level Topics In Math · C03

Fall 2025 · Graduate Level Topics In Math · C05

Spectral Methods In Matlab Ed: 1
Lloyd N. Trefethen · 1 · Suggested
ISBN 9780898714654

Sources