{ Walter Milner }

Mathematics

Understanding

Geometry

Circles

Algebra

Exponentials and logs

Sequences and series

Binomial coefficients

Binomial expnasions

Trigonometry

Differential Calculus

Functions

The tangent

The slope

Local straightness

The slope function

xn and other basic ideas

Derivatives of sine and cosine

Derivatives of products of functions

Function of a function - the chain rule

Exponential and logarithm functions

Reciprocals, quotients, sec csc tan and cot

Integral Calculus

Overview

Area under the curve

The anti-derivative

Definite and indefinite integrals

Fundamental theorem of calculus

Why the above is not quite right

Techniques of integration

xn

Standard integrals

Integration by parts

Doing

Trigonometry

Differentiation