Author thumbnail

MIT OpenCourseWare

MIT 6.042J Mathematics for Computer Science, Spring 2015

854,295 views
111 items
Last updated on Jan 28, 2019
public playlist
1.1.1 Welcome to 6.042
2:15
1.1.2 Intro to Proofs: Part 1
9:30
1.1.3 Intro to Proofs: Part 2
7:08
1.2.1 Proof by Contradiction
7:55
1.2.3 Proof by Cases
6:54
1.3.1 Well Ordering Principle 1: Video
5:38
1.3.3 Well Ordering Principle 2: Video
5:24
1.3.5 Well Ordering Principle 3: Video
6:03
1.4.1 Propositional Operators: Video
9:21
1.4.3 Digital Logic: Video
10:03
1.4.4 Truth Tables: Video
12:57
1.5.1 Predicate Logic 1: Video
12:35
1.5.2 Predicate Logic 2: Video
12:00
1.5.4 Predicate Logic 3: Video
8:30
1.6.1 Sets Definitions: Video
12:00
1.6.2 Sets Operations: Video
9:15
1.7.1 Relations: Video
25:13
1.7.3 Relational Mappings: Video
8:53
1.7.5 Finite Cardinality: Video
10:58
1.8.1 Induction: Video
21:42
1.8.2 Bogus Induction: Video
5:03
1.8.4 Strong Induction: Video
10:03
1.8.6 WOP vs Induction: Video [optional]
7:53
1.9.1 State Machines Invariants: Video
26:00
1.9.3 Derived Variables: Video
6:24
1.10.1 Recursive Data: Video
12:42
1.10.4 Structural Induction: Video
6:16
1.10.7 Recursive Functions: Video
14:04
1.11.1 Cardinality: Video
12:56
1.11.3 Countable Sets: Video
9:46
1.11.4 Cantor's Theorem: Video
20:23
1.11.7 The Halting Problem: Video [Optional]
16:02
1.11.9 Russell's Paradox: Video
13:25
1.11.11 Set Theory Axioms: Video [Optional]
9:20
2.1.1 GCDs & Linear Combinations: Video
9:42
2.1.2 Euclidean Algorithm: Video
9:30
2.1.4 Pulverizer: Video
11:49
2.1.6 Revisiting Die Hard: Video
5:17
2.1.7 Prime Factorization: Video
7:48
2.2.1 Congruence mod n: Video
13:12
2.2.3 Inverses mod n: Video
4:17
2.3.1 Modular Exponentiation Euler's Function: Video
6:13
2.3.3 The Ring Z: Video
16:51
2.4.1 RSA Public Key Encryption: Video
21:45
2.4.3 Reducing Factoring To SAT: Video
7:10
2.5.1 Digraphs: Walks & Paths: Video
3:45
2.5.3 Digraphs: Connected Vertices: Video
6:55
2.6.1 DAGs: Video
11:22
2.6.3 Scheduling: Video
13:17
2.6.5 Time versus Processors: Video
9:45
2.7.1 Partial Orders: Video
10:33
2.7.3 Representing Partial Orders As Subset Relations: Video
6:58
2.7.4 Equivalence Relations: Video
7:12
2.8.1 Degree: Video
11:18
2.8.3 Isomorphism: Video
11:04
2.9.1 Coloring: Video
16:21
2.9.3 Connectivity: Video
3:09
2.9.4 k-Connectivity: Video
8:14
2.10.1 Trees: Video
8:07
2.10.3 Tree Coloring: Video
2:04
2.10.5 Spanning Trees: Video
10:39
2.11.1 Stable Matching: Video
11:20
2.11.2 Matching Ritual: Video
9:18
2.11.5 Optimal Stable Matching: Video
9:06
2.11.7 Bipartite Matching
4:02
2.11.9 Hall's Theorem
15:31
3.1.1 Arithmetic Sums: Video
3:59
3.1.3 Geometric Sums: Video
10:36
3.1.5 Book Stacking: Video
7:41
3.1.7 Integral Method: Video
9:35
3.1.9 Stirling's Formula: Video
5:51
3.2.1 Asymptotic Notation: Video
7:43
3.2.3 Asymptotic Properties: Video
10:12
3.2.6 Asymptotic Blunders
4:33
3.3.1 Sum And Product Rules: Video
7:27
3.3.3 Counting with Bijections: Video
11:43
3.4.1 Generalized Counting Rules: Video
10:06
3.4.3 Two Pair Poker Hands: Video
7:46
3.4.4 Binomial Theorem: Video
5:42
3.4.5 Multinomial Theorem: Video
7:51
3.5.1 The Pigeonhole Principle: Video
4:14
3.5.3 Inclusion-Exclusion Example: Video
13:10
3.5.4 Inclusion-Exclusion 2 Sets: Video
7:10
4.1.1 Tree Model: Video
25:24
4.1.3 Simplified Monty Hall Tree: Video
7:41
4.1.5 Sample Spaces: Video
9:46
4.2.1 Conditional Probability Definitions: Video
12:19
4.2.3 Law of Total Probability: Video
3:33
4.2.5 Bayes' Theorem: Video
11:39
4.2.7 Monty Hall Problem: Video
8:42
4.3.1 Independence: Video
3:36
4.3.3 Mutual Independence: Video
8:19
4.4.1 Bigger Number Game: Video
12:19
4.4.2 Random Variables: Independence: Video
15:31
4.4.4 Random Variables: Uniform & Binomial: Video
11:33
4.5.1 Expectation: Video
18:53
4.5.3 Expected Number Of Heads: Video
4:39
4.5.5 Total Expectation: Video
4:18
4.5.7 Mean Time to Failure: Video
11:25
4.5.9 Linearity of Expectation: Video
18:30