As promised in the syllabus, there is an in-class exam on Wednesday, March 6. Here is a brief list of the topics covered; numbers in parentheses refer to sections of the text by Judson.

• Foundational material Sets, functions, inverse mappings, equivalence relations, partitions. (1.2)
• Induction Inductive proofs, principle of well-ordering. (2.1)
• Integers Division algorithm, gcd's, Euclidean algorithm, primes, unique factorization. (2.2)
• Rings Definitions and examples, basic properties of 0, 1 and -a, zero divisors, units, subrings, integral domains, fields. (16.1, 16.2)
• Polynomial rings Basic definitions and properties, division algorithm, gcd. (17.1, 17.2)