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- Lecture 1: Proofs and 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: Relations
- Lecture 7: Functions
- Lecture 8: Cardinality
- Lecture 9: Integers, Rational Numbers and Algebraic Numbers
- Lecture 10: Fields and Ordered Fields
- Lecture 11: The Completeness Axiom
- Lecture 12: The Completeness Axiom, Cont'd
- Lecture 13: The Topology of the Reals
- Lecture 14: Compact Sets
- Lecture 15: Convergence
- Lecture 16: Limit Theorems
- Lecture 17: Monotone Sequences and Caucchy Sequences
- Lecture 18: Limits of Functions
- Lecture 19: Continuous Functions
- Lecture 20: Properties of Continous Functions