Prelim

Preliminary-exam problems in calculus, linear algebra, and abstract algebra: logic and proof, limits and continuity, integration, sequences and series, multivariable calculus, linear algebra, groups, rings and modules, fields and Galois theory, complex numbers, and counterexamples.

1. Logic and proof
2. Limits and continuity
3. Integration techniques
4. Sequences and series
5. Multivariable calculus
6. Linear algebra
7. Groups
8. Rings and modules
9. Fields and Galois theory
10. Complex numbers
11. Counterexamples