"Outside of a dog, a man's best friend is a book. Inside of a dog, it's very dark."

Groucho Marx

(If you can figure out why this quote is on this web page, you'll be able to understand something of my mathematical and pedagogical philosophies.)

# Mathematics Reference Pages

Very much under construction! This is a long-term project. Priority is given to the needs of my current students.

## Basics

## Translating English into math

## U.S. Customary System units of measure, for FDMath 108 students

## Inequalities

## Trigonometry

## Inverse trigonometric functions

## The unit circle

## Trigonometry reference sheet for trigonometry students

## Trigonometry reference sheet for calculus students

## Hyperbolic functions

## Special functions

## Bessel functions

## Gamma function

## Limits

#### Practice problems: Limits (includes L'hopital's rule and the squeeze theorem)

## Differentiation

## Chain rules via matrix multiplication (draft version)

## Local approximations to curves (under construction, but useable)

## Local approximations to surfaces (draft version)

## Integration

## Area and parameterized curves

## Substitution

## Parts

## Partial fractions

## Some techniques of integration

## Summation

## Adding lots of things together (a draft version)

## The interval and radius of convergence of a power series

## Vector Calculus

## Standard parameterizations of curves

## Local approximations to space curves

## Multivariate Calculus

## Chain rules via matrix multiplication

## Gaussian curvature

## Local approximations to surfaces

## Increments, differentials, and local approximations

## The Hessian matrix: Eigenvalues, concavity, and curvature

### Ordinary Differential Equations

#### Practice on first order equations

#### Practice on linear second order equations

### Applications

## Basic block ciphers

## Elementary marginal analysis

## Inernet page ranking

### Integration Theory

## Introduction to the Cauchy integral