Graduate Coursework Archive
This page archives some of my graduate coursework from the University of Calgary.
Most of these course notes were “live-TeXed,” meaning I typed them up on my laptop during lectures. I make no guarantee of their accuracy — there are likely typos, gaps, or mathematical errors. I also make no guarantee on the correctness of my solutions to the assigned problems.
That said, others have found them useful over the years, so I’m sharing them here publicly in the spirit of open learning.
MATH 667 – Quantum Information Theory
Taught by Gilad Gour, Winter Semester 2016
This course introduced the mathematical foundations of quantum computing and information theory. Topics included quantum states, density operators, quantum channels, entropy, and coding theorems.
| Title | Type | Link |
|---|---|---|
| Lecture Notes | Notes | Download PDF |
| Assignment 2 | Homework | Download PDF |
MATH 621 – Complex Analysis
Taught by Alex Brudnyi, Fall Semester 2014
This course covered advanced topics in complex analysis, including contour integration, Cauchy’s theorem, Laurent series, and the residue theorem.
All assignment problems were taken from Complex Analysis by Theodore Gamelin.
| Title | Type | Link |
|---|---|---|
| Assignment 1 | Homework | Download PDF |
| Assignment 2 | Homework | Download PDF |
| Assignment 3 | Homework | Download PDF |
| Midterm | Exam | Download PDF |
| Assignment 4 | Homework | Download PDF |
| Assignment 5 | Homework | Download PDF |
| Final Problem Set | Problem Set | Download PDF |
PMAT 617 – Algebra IV
Taught by Clifton Cunningham, Winter Semester 2014
This abstract algebra course focused on module theory, tensor products, exact sequences, and homological algebra.
All assignment roblems were taken from Algebra: Chapter 0 by Paolo Aluffi.
| Title | Type | Link |
|---|---|---|
| Lecture Notes | Notes | Download PDF |
| Assignment 1 | Homework | Download PDF |
| Assignment 2 | Homework | Download PDF |
| Assignment 3 | Homework | Download PDF |
| Assignment 4 | Homework | Download PDF |
| Assignment 5 | Homework | Download PDF |
| Final Exam Review | Review | Download PDF |
AMAT 617 – Functional Analysis
Taught by Gilad Gour, Winter Semester 2014
This course covered the theory of normed vector spaces, inner product spaces, Hilbert spaces, and operators, with applications to analysis and PDEs.
All assignment problems were taken from Introductory Functional Analysis with Applications by Erwin Kreyszig.
| Title | Type | Link |
|---|---|---|
| Lecture Notes | Notes | Download PDF |
| Assignment 1 | Homework | Download PDF |
| Assignment 2 | Homework | Download PDF |
| Assignment 3 | Homework | Download PDF |
| Assignment 4 | Homework | Download PDF |
| Assignment 5 | Homework | Download PDF |
| Final Exam Review | Review | Download PDF |