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Lecture 1: Predicates, Sets, and Proofs
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Mathematics for Computer Science - Spring 2024
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- 1 Lecture 1: Predicates, Sets, and Proofs
- 2 Lecture 2: Contradiction and Induction
- 3 Lecture 3: Casework and Strong Induction
- 4 Lecture 4: State Machines
- 5 Lecture 5: Sums
- 6 Lecture 6: Asymptotics
- 7 Lecture 7: Recurrences
- 8 Lecture 8: Divisibility
- 9 Lecture 9: Modular Arithmetic
- 10 Lecture 10: Cryptography
- 11 Lecture 11: Graphs and Coloring
- 12 Lecture 12: Matching
- 13 Lecture 13: Connectivity and Trees
- 14 Lecture 14: Digraphs and DAGs
- 15 Lecture 15: Relations and Counting
- 16 Lecture 16: Counting Techniques
- 17 Lecture 17: More Counting Techniques
- 18 Lecture 18: Probability
- 19 Lecture 19: Conditional Probability
- 20 Lecture 20: Independence
- 21 Lecture 21: Random Variables
- 22 Lecture 22: Expectation
- 23 Lecture 23: Expectation and Variance
- 24 Lecture 24: Large Deviations: Chebyshev and Chernov Bound, Wrap Up