# Math 300 Lecture Videos

This is a collection of lecture videos for a Community College level
Math for non-STEM majors class. Corrections with time stamps are
provided whenever appropriate.

### 1.2 Recursive Sequences

1.2-recursive-sequences.mp4
- Basic Algebra review and an intro into recursive sequences.

1.2-example-1.mp4

1.2-example-2.mp4

1.2-example-3.mp4

1.2-example-4.mp4 - More examples
of basic algebra and recursive sequences.

### 7.8 Complex Numbers and Fractals

7.8-complex-numbers.mp4 -
Basic facts about complex numbers and a recursive sequence
generating the Mandelbrot set.

### 2.1 Basic Set Theory

2.1-basic-set-theory.mp4 -
Basic definitions and examples of sets, set notation, set
membership, and cardinality.

00:07:07 N is the set of natural
numbers, not integers.

### 2.2 Set Relations

2.2-set-relations.mp4 -
Subset relation, universal set, complement, and powerset.

### 2.3 Set Operations

0.0-sets.mp4 - This segment, also used
in my Stats class, matches the topics we need to discuss
perfectly: unions, intersections, complements, and diagrams.

2.3-more-set-ops.mp4 - Set
difference and more examples of working with set operations.

2.3-equivalency.mp4 - Using
diagrams to compare expressions.

### 2.4 Set Applications

2.4-counting.mp4 - Applications of
sets to counting.

2.4-more-counting.mp4 - Another
example of counting.

### 2.5 Infinite Sets

2.5-infinity.mp4 - Cardinalities
of infinte set.

### 3.1 Logical Connectives

3.1-connectives.mp4 - Logical
connectives and quantifiers.

3.1-last-example.mp4 - The
last example was recorded separately.

### 3.2, 3.3 Truth Tables

3.2-3.3-truth-tables.mp4 -
Truth tables, tautologies,contradictions, and equivalent
statements.

### 3.4 Conditional Statements

3.4-conditional.mp4 - Converse,
inverse, contrapositive, and equivalent forms.

### 3.5 Symbolic Arguments

3.5-arguments.mp4 - Valid
arguments.

### 4.1 Apportionment

4.1-apportionment.mp4 -
Apportionment: Hamilton method, Jefferson method, Quota rule,
Alabama paradox, absolute and relative unfairness.

### 4.2 Voting

4.2-voting.mp4 - Ranked choice
voting systems: Borda, Elimination, Comparison.

### 5.1 Graphs

5.1-graphs.mp4 - Basic concepts of
Graph theory.

5.1-graph-topics.mp4 - Paths,
circuits, bridges, trees, graph isomorphism.

5.1-euler-path.mp4 - Euler paths
and circuits.

### 5.2 Hamilton Path

5.2-hamilton-path.mp4 -
Hamilton path through a weighted graph, greedy and edge-picking
algorithms.

5.2-more-examples.mp4 - More
examples of the same.

### 5.3 Planarity

5.3-planarity.mp4 -
Planar graphs, Euler's formula for graphs, dual graphs.

5.3-dual-example.mp4 - One
more example of dual construction.

### 5.4 Graph Coloring

5.4-coloring.mp4 - Graph
coloring concepts and facts.