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.mp4 - Basic facts about complex numbers and a recursive sequence generating the Mandelbrot set.
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.mp4 - Subset relation, universal set, complement, and powerset.
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-counting.mp4 - Applications of sets to counting.
2.4-more-counting.mp4 - Another example of counting.
2.5-infinity.mp4 - Cardinalities of infinte set.
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.mp4 - Truth tables, tautologies,contradictions, and equivalent statements.
3.4-conditional.mp4 - Converse, inverse, contrapositive, and equivalent forms.
3.5-arguments.mp4 - Valid arguments.
4.1-apportionment.mp4 - Apportionment: Hamilton method, Jefferson method, Quota rule, Alabama paradox, absolute and relative unfairness.
4.2-voting.mp4 - Ranked choice voting systems: Borda, Elimination, Comparison.
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.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.mp4 - Planar graphs, Euler's formula for graphs, dual graphs.
5.3-dual-example.mp4 - One more example of dual construction.
5.4-coloring.mp4 - Graph coloring concepts and facts.