Ian Coley

Main Topics

• Single variable and multivariable calculus
• Differential equations, mostly linear ODEs
• Linear algebra
• Abstract algebra, mostly group theory with some ring and field theory
• Real and Complex Analysis
• Topology, almost exclusively point-set topology
• Statistics, Probability, and Combinatorics
• Set Theory and Logic
• Miscellaneous mathematics, including Graph Theory and Algorithms

Course Notes

• Lecture notes can be found here. Last updated: July 2021. This is probably the final version of the lecture notes.

Practice Exams

• Practice 1 and Solutions.
• Practice 2 and Solutions.
• Practice 3 and Solutions.
• Practice 4 and Solutions.
• Practice 5 and Solutions.
• A collection of dubiously-relevant practice tests (with solutions not compiled by me) can be found here. I make no promises about these.