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- Lecture 1: Elements of Mathematical Logic
- Lecture 2: Methods of Proof
- Lecture 3: Methods of Proof, cont'd
- Lecture 4: Methods of Proof, cont'd
- Lecture 5: Review of Set Theory
- Lecture 6: Functions
- Lecture 7: The Division Algorithm
- Lecture 8: Divisibility
- Lecture 9: Divisibility, Cont'd
- Lecture 10: Review
- Lecture 11: Congruence and Congruence Classes
- Lecture 12: Modular Arithmetic
- Lecture 13: The Structure of Z_p when p is Prime
- Lecture 14: Definition and Examples of Rings
- Lecture 15: Basic Properties of Rings
- Lecture 16: Homorphisms and Isomorphisms of Rings
- Lecture 17: Polynomial Arithmetic and the Division Algorithm
- Lecture 18: Divisibility in F[x]
- Lecture 19: Irreducible Polynomials and Unique Factorization
- Lecture 20: Polynomial Functions, Roots, and Reducibility
- Lecture 21: Definition and Examples of Groups
- Lecture 22: Basic Properties of Groups
- Lecture 23: Subgroups
- Lecture 24: Group Homomorphisms
- Lecture 25: Examples of Groups and Group Properties