Precalculus

Overview

Introduction to limits - Limit examples w/ brain malfunction on first prob - Squeeze theorem (sandwich theorem) - Proof: lim (sin x)/x - More limits - Sequences and Series - Permutations - Combinations - Binomial Theorem - Binomial theorem combinatorics connection - Introduction to interest - Introduction to compound interest and e - Exponential Growth - Polar coordinates - Parametric equations - Introduction to function inverses - Function inverse example - Basic complex analysis - Exponential form to find complex roots - Complex conjugates - Series sum example - Complex determinant example - 2003 AIME II problem 8 - Logarithmic scale - Vi and Sal explore how we think about scale - Vi and Sal talk about the mysteries of Benford's law - Benford's law explanation (sequel to mysteries of Benford's law