Lessons |
Tutorial |
Video |
Print (PDF) |
|
|
|
|
1.1 |
The Real Number System |
||
| Hawkes Video 1 | |||
| Hawkes Video 2 | |||
|
|
||
| Example Video 2 | |||
1.2 |
Exponents and Radicals |
||
| Hawkes Video 1 | |||
| Hawkes Video 2 | |||
| Hawkes Video 3 | |||
| Hawkes Video 4 | |||
|
|
||
| Example Video 2 | |||
| Example Video 3 | |||
1.3, 1.4 |
Polynomials and Factoring |
||
| Hawkes Video 1 | |||
|
|
||
| Example Video 2 | |||
1.5 |
The Complex Number System |
||
| Hawkes Video 1 | |||
|
|
||
| Example 2 Video | |||
1.6 |
Linear Equations |
||
| Hawkes Video 1 | |||
| Hawkes Video 2 | |||
|
Distance = Rate x Time |
||
|
Walkathon |
||
|
|
||
1.7 |
Linear Inequalities |
||
| Hawkes Video 1 | |||
|
Solving Inequalities |
||
|
|
||
| Example 3 Video | |||
1.8 |
Quadratic Equations |
||
| Hawkes Video 1 | |||
| Hawkes Video 2 | |||
|
Quadratic Formula |
||
|
Falling Body Problems |
||
|
|
||
| Example 4 Video | |||
| Example 5 Video | |||
1.9 |
Rational Equations |
||
| Hawkes Video 1 | |||
| Hawkes Video 2 | |||
| Example 1 Video | |||
| Example 2 Video | |||
| Example 3 Video | |||
| Example 4 Video | |||
|
Simplify Radical |
||
2.1 |
The Cartesian Coordinate System |
||
| Hawkes Video 1 | |||
|
Perimeter and Area of a Triangle |
||
2.3 |
Linear Equations in Two Variables |
||
|
|
|
|
2.4 |
Forms of Linear Equations |
||
|
Slope and Equation of a Line |
||
|
|
|
|
2.5 |
Parallel and Perpendicular Lines |
||
|
|
|
|
2.6 |
Linear Inequalities in Two Variables |
||
|
|
|
|
2.2 |
Introduction to Circles |
||
|
Center and Radius of a Circle |
||
|
|
|
|
3.1 |
Relations and Functions |
||
|
Function Notation and Domain |
||
|
Polynomial Function |
||
| Hawkes Video 1 | |||
3.2, 3.3 |
Linear and Quadratic Functions |
||
| Hawkes Video 1 | |||
| Hawkes Video 2 | |||
|
Online Grapher Demo |
|
|
|
Graph of a Function: Intercepts |
||
|
Box Problem: Maximum Volume |
||
| Graph 1 | Example 3 Video | ||
| Graph 2 | Example 4 Video | ||
|
Quadratic Formula |
||
3.4 |
Other Common Functions |
||
|
Max and Min Values of a Function |
||
|
Maximum Income |
||
| Hawkes Video 1 | |||
4.1, 4.2 |
Transformations of Functions |
||
|
Increasing and Decreasing Functions |
||
|
Rational Zeros |
||
| Hawkes Video 1 | |||
4.3 |
Combining Functions |
||
|
Composition of Functions |
||
|
|
|
|
4.4 |
Inverses of Functions |
||
|
Finding the Inverse of a Function |
||
|
|
|
|
5.1 |
Polynomial Equations and Graphs |
||
|
Asymptotes and Intercepts |
||
|
|
||
| Example 3 Video | |||
| Hawkes Video 1 | |||
5.2 |
Polynomial Division |
||
|
|
|
|
5.3 |
Locating Zeros of Polynomials |
||
|
|
|
|
5.4 |
Fundamental Theorem of Algebra |
||
|
Find the Zeros |
||
|
Approximate the Largest Zero |
||
|
Factor Theorem & Fundamental Theorem |
||
|
Using the Factor Theorem |
||
|
|
|
|
5.5 |
Rational Functions Inequalities |
||
|
Polynomial Division |
||
|
Synthetic Division |
||
|
Match the Graph |
||
|
Solve Inequality: Factored Polynomial |
||
|
Solving an Inequality |
|
|
|
|
||
| Hawkes Video 1 | |||
| Hawkes Video 2 | |||
6.1 |
Exponential Functions and Graphs |
||
|
|
|
|
6.2 |
Applications of Exponential Functions |
||
|
Exponential Growth, Bacteria |
||
|
Exponential Growth, Money |
||
|
|
|
|
6.3 |
Logarithmic Functions and Graphs |
||
|
Inverse of an Exponential Function |
||
|
Inverse of a Logarithmic Function |
||
|
|
|
|
6.4 |
Properties &Applications of Logarithms |
|
|
|
Properties of Logarithms |
||
|
|
|
|
6.5 |
Exponential and Logarithmic Equations |
||
|
Solving Equations: Exponentials |
||
|
Solving Equations: Logarithms |
||
|
|
|
|
11.1 |
Solving Systems of Equations |
||
|
|
|
|
11.2 |
Matrix Notation and Gaussian Elimination |
||
|
System of Equations 1 |
||
|
System of Equations 2 |
||
|
Equation of Parabola |
||
|
|
|
|
|
Nonlinear Systems of Equations |
||
|
System of Equations 3 |
||
|
Dimensions of Rectangle |
||
|
Area of Rectangle |
||
|
|
|
| Dr. E Robert Heal, Professor Department of Mathematics and Statistics Faculty Website Robert.Heal@usu.edu 435.760.0704 |
