Douglas Weathers - VideoAndMovie

Math.

Linearity and extremality

6:50

Linearity and extremality

Partial orders and Hasse diagrams

4:08

Partial orders and Hasse diagrams

Modular arithmetic

4:55

Modular arithmetic

Equivalence relations

3:07

Equivalence relations

Transitive closure

4:17

Transitive closure

Composition of relations

3:39

Composition of relations

Reflexive and symmetric closures

1:58

Reflexive and symmetric closures

Properties of relations

6:50

Properties of relations

Relations

2:57

Relations

Boolean products

6:02

Boolean products

Basic operations with Boolean matrices

1:58

Basic operations with Boolean matrices

Boolean matrices

3:48

Boolean matrices

Algebraic probability rules

2:45

Algebraic probability rules

Introduction to probability

2:13

Introduction to probability

Multinomial identities

5:19

Multinomial identities

Multinomial coefficients

5:22

Multinomial coefficients

Multisets

5:01

Multisets

The binomial theorem

4:55

The binomial theorem

Binomial coefficients

3:57

Binomial coefficients

Counting subsets

6:42

Counting subsets

Permutations

3:37

Permutations

Finite sequences

3:47

Finite sequences

Addition and multiplication rules

5:12

Addition and multiplication rules

Enumeration

2:39

Enumeration

Proof by induction with inequality

4:52

Proof by induction with inequality

Proof by induction with divisibility

2:13

Proof by induction with divisibility

Proof by induction with sums

5:12

Proof by induction with sums

Asymptotics examples

3:18

Asymptotics examples

Asymptotics

4:24

Asymptotics

Indirectly calculating sums

3:07

Indirectly calculating sums