3.1 Sums & Products
- 3.1.1 Arithmetic Sums: Video
- 3.1.2 Perturbation by Young Gauss
- 3.1.3 Geometric Sums: Video
- 3.1.4 Annuities
- 3.1.5 Book Stacking: Video
- 3.1.6 Harmonic Numbers
- 3.1.7 Integral Method: Video
- 3.1.8 Integral Method Demystified
- 3.1.9 Stirling's Formula: Video
- 3.1.10 Applying Stirling's Formula
- 3.1.11 Convergence of Geometric Series
- 3.1.12 Summation
- 3.1.13 Sum's Upper Lower Bounds
3.2 Asymptotics
- 3.2.1 Asymptotic Notation: Video
- 3.2.2 Asymptotics as Relations
- 3.2.3 Asymptotic Properties: Video
- 3.2.4 Little oh Big Oh
- 3.2.5 Theta
- 3.2.6 Asymptotic Blunders: Video
- 3.2.7 Asymptotics the Right Way
- 3.2.8 Practice with Big O
- 3.2.9 Practice with Order of Growth
3.3 Counting with Bijections
- 3.3.1 Sum And Product Rules: Video
- 3.3.2 Counting Practice
- 3.3.3 Counting with Bijections: Video
- 3.3.4 Selecting Donuts
- 3.3.5 Counting Functions
3.4 Repetitions & Binomial Theorem
- 3.4.1 Generalized Counting Rules: Video
- 3.4.2 Choosing Integers
- 3.4.3 Two Pair Poker Hands: Video
- 3.4.4 Binomial Theorem: Video
- 3.4.5 Multinomial Theorem: Video
3.5 Pigeonhole Principle, Inclusion-Exclusion