Lessons |
Tutorial |
Video |
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1.1ab |
The Real Number System |
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| Example Video 2 | |||
| Hawkes TV,Click on Precalculus | |||
1.2abcd |
Exponents and Radicals |
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| Example Video 2 | |||
| Example Video 3 | |||
| Hawkes TV,Click on Precalculus | |||
1.3 |
Polynomials and Factoring |
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| Example Video 2 | |||
| Hawkes TV,Click on Precalculus | |||
1.4 |
The Complex Number System |
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| Example 2 Video | |||
| Hawkes TV,Click on Precalculus | |||
1.5ab |
Linear Equations |
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Distance = Rate x Time |
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Walkathon |
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| Hawkes TV,Click on Precalculus | |||
1.6 |
Linear Inequalities |
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Solving Inequalities |
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| Example 3 Video | |||
| Hawkes TV,Click on Precalculus | |||
1.7ab |
Quadratic Equations |
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Quadratic Formula |
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Falling Body Problems |
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| Example 4 Video | |||
| Example 5 Video | |||
| Hawkes TV,Click on Precalculus | |||
1.8ab |
Rational Equations |
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| Example 1 Video | |||
| Example 2 Video | |||
| Example 3 Video | |||
| Example 4 Video | |||
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Radical Equations |
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| Simplify Radical | Example 1 Video | ||
| Hawkes TV,Click on Precalculus | |||
2.1 |
The Cartesian Coordinate System |
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Perimeter and Area of a Triangle |
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2.2 |
Linear Equations in Two Variables |
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2.3 |
Forms of Linear Equations |
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Slope and Equation of a Line |
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2.4 |
Parallel and Perpendicular Lines |
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2.5 |
Linear Inequalities in Two Variables |
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2.6 |
Introduction to Circles |
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Center and Radius of a Circle |
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3.1 |
Relations and Functions |
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Function Notation and Domain |
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Polynomial Function |
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| Hawkes TV,Click on Precalculus | |||
3.2ab |
Linear and Quadratic Functions |
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Online Grapher Demo |
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Graph of a Function: Intercepts |
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Box Problem: Maximum Volume |
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| Graph 1 | Example 3 Video | ||
| Graph 2 | Example 4 Video | ||
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Quadratic Formula |
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| Hawkes TV,Click on Precalculus | |||
3.3 |
Other Common Functions |
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Max and Min Values of a Function |
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Maximum Income |
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| Hawkes TV,Click on Precalculus | |||
3.5 |
Transformations of Functions |
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Increasing and Decreasing Functions |
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Rational Zeros |
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| Hawkes TV,Click on Precalculus | |||
3.6 |
Combining Functions |
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Composition of Functions |
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3.7 |
Inverses of Functions |
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Finding the Inverse of a Function |
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4.1 |
Polynomial Equations and Graphs |
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Asymptotes and Intercepts |
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| Example 3 Video | |||
| Hawkes TV,Click on Precalculus | |||
4.2 |
Polynomial Division |
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4.3 |
Locating Zeros of Polynomials |
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4.4 |
Fundamental Theorem of Algebra |
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Find the Zeros |
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Approximate the Largest Zero |
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Factor Theorem & Fundamental Theorem |
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Using the Factor Theorem |
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4.5ab |
Rational Functions and Inequalities |
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Polynomial Division |
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Synthetic Division |
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Match the Graph |
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Solve Inequality: Factored Polynomial |
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Solving an Inequality |
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| Hawkes TV,Click on Precalculus | |||
5.1 |
Exponential Functions and Graphs |
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5.2 |
Applications of Exponential Functions |
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Exponential Growth, Bacteria |
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Exponential Growth, Money |
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5.3 |
Logarithmic Functions and Graphs |
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Inverse of an Exponential Function |
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Inverse of a Logarithmic Function |
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5.4 |
Properties &Applications of Logarithms |
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Properties of Logarithms |
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5.5 |
Exponential and Logarithmic Equations |
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Solving Equations: Exponentials |
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Solving Equations: Logarithms |
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10.1 |
Solving Systems of Equations |
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10.2 |
Matrix Notation and Gaussian Elimination |
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System of Equations 1 |
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System of Equations 2 |
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Equation of Parabola |
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10.8 |
Nonlinear Systems of Equations |
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System of Equations 3 |
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Dimensions of Rectangle |
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Area of Rectangle |
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| Dr. E Robert Heal, Professor Department of Mathematics and Statistics Faculty Website Robert.Heal@usu.edu 435.797.2853 |
Gregory Wheeler Department of Mathematics and Statistics USU Uinta Basin Campus Greg.Wheeler@usu.edu 435.722.2294 |
