# MATHEMATICAL LECTURES USING SLIDE SHOWS AND VIDEOSBy Roxanne ByrneUniversity of Colorado Denver, Downtown Campus

This page contains streaming video lectures on topics in Mathematics as well as a few slide shows. You are welcome to view the media for educational purposes. You may link to them for educational purposes if you give proper credit to the author and institution.

The tegrity files had to be converted and moved to a new server. IF YOU PREVIOUSLY LINKED TO ONE OF THEM, YOU WILL HAVE TO CHANGE THE URL ADDRESS.

## ELEMENTARY ALGEBRA REVIEW:

A basic review of elementary algebra using windows media player can be found at Elementary Algebra Review

## LIMITS:

1. Limits (streaming video)

## DERIVATIVES:

### BASIC DERIVATIVES:

1. FLASH CARDS: SET 1 (Slide Show)
2. FLASH CARDS: SET 2 (Slide Show)
3. FLASH CARDS: SET 3 (Slide Show)

### DERIVATIVE RULES

1. PRODUCT RULE (streaming video)
2. QUOTIENT RULE (streaming video)
3. CHAIN RULE: Introduction (streaming video)
1. CHAIN RULE: Example 1 (streaming video)
2. CHAIN RULE: Example 2 (streaming video)
3. CHAIN RULE: Example 3 (streaming video)
4. IMPLICIT DIFFERENTIATION
1. IMPLICIT DIFFERENTIATION: Power Functions (streaming video)
2. IMPLICIT DIFFERENTIATION: Exponential Functions (streaming video)

## INTEGRATION:

### BASIC INTEGRATION:

1. FLASH CARDS: SET 1 (Slide Show)
2. FLASH CARDS SET 2 (Slide Show)

### INTEGRATION RULES:

1. INTEGRATION OF POWERS OF TRIGONOMETRIC FUNCTION
1. (sinx)^n (cosx)^k: n odd (streaming video)
2. (sinx)^n (cosx)^k: k odd (streaming video)
3. (sinx)^n (cosx)^k: n, k even (streaming video)
4. (secx)^n (tanx)^k: n even (streaming video)
5. (secx)^n (tanx)^k: k odd (streaming video)
2. Trigonometric Subsitituion Introduction (streaming video)
1. Sine Substitution Example (streaming video)
2. Tangent Substitution Example (streaming video)
3. Secant Substitution Example (streaming video)
3. Integration in R3

## INFINITE SERIES:

1. Infinite Series: Introduction (streaming video)
2. CONVERGENCE TESTS (Slide Show)

## VECTORS:

1. Dot Product (streaming video).
2. Cross Product (streaming video)

## FINANCE:

1. Math of Finance (streaming video) Note: the links in this video may not work. However, the example links are given below and they do work except for examples 7 and 8.

## Linear Algebra and Differential Equations:

ROXANNE BYRNE: REVISED FEBRUARY 2010