Discrete Math (2025)
22 videos
This is a standard college-level course in Discrete Mathematics. The course is being taught to high school students, and so an entire year is spent on the course (as opposed to a single semester), allowing more time to be spent on each topic.
Resources
- 1
Introduction to Discrete Mathematics – Lecture 0 (Discrete Math)
13:15
- 2
Propositional Logic & Introduction – Lecture 1 (Discrete Math)
1:49:28
- 3
Predicate Logic, Identity, Definitions, and Theorems – Lecture 2 (Discrete Math)
1:43:16
- 4
Proof, Counterexample, and Boolean Algebra – Lecture 3 (Discrete Math)
1:33:47
- 5
Lists – Lecture 4 (Discrete Math)
28:59
- 6
Factorial, Sets, and Quantifiers - Lecture 5 (Discrete Math)
1:17:49
- 7
Set Operations and Combinatorial Proofs - Lecture 6 (Discrete Math)
1:15:25
- 8
Relations - Lecture 7 (Discrete Math)
34:05
- 9
Equivalence Relations and Partitions - Lecture 8 (Discrete Math)
44:24
- 10
Binomial Coefficients and the Binomial Theorem - Lecture 9 (Discrete Math)
1:15:28
- 11
Proof by Contradiction and Contrapositive - Lecture 10 (Discrete Math)
26:49
- 12
Proof by Smallest Counterexample and Induction - Lecture 11 (Discrete Math)
2:00:11
- 13
Functions and Function Composition - Lecture 12 (Discrete Math)
2:01:09
- 14
Permutations: Example of a Group - Lecture 13 (Discrete Math)
1:33:13
- 15
Probabilities and Sample Spaces - Lecture 14 (Discrete Math)
1:02:46
- 16
Probability: Events, Conditional Probability, and Independence - Lecture 15 (Discrete Math)
1:52:47
- 17
Probability, Random Variables, and Expectation - Lecture 16 (Discrete Math)
1:31:15
- 18
Probability, Expectation, and Variance - Lecture 17 (Discrete Math)
1:16:56
- 19
Number Theory and Dividing - Lecture 18 (Discrete Math)
1:04:13
- 20
Number Theory, GCD, and Modular Arithmetic - Lecture 19 (Discrete Math)
1:35:57
- 21
Modular Arithmetic, Chinese Remainder Theorem, and Factoring - Lecture 20 (Discrete Math)
1:31:35
- 22
Fundamental Theorem of Arithmetic - Lecture 21 (Discrete Math)
22:47