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.
• New! Practice 6 and Solutions. NB: I would appreciate any comments on these solutions (published 9 October 2024) at greprep@iancoley.org

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