| Chapter 2. | COORDINATES AND GRAPHS | |
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1. The Coordinate Plane | |
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2. Graphs of Equations in Two Variables | |
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3. Graphing Calculators: Solving Equations Graphically | |
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4. Lines | |
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5. Modeling: Variation |
| Chapter 3. | FUNCTIONS | |
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1. What is a Function? | |
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2. Graphs of Functions | |
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3. Increasing and Decreasing Functions: Average Rate of Change | |
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4. Transformations of Functions | |
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5. Quadratic Functions; Maxima and Minima | |
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6. Combining Functions | |
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7. One-to-One Functions and Their Inverses |
| Chapter 4. | POLYNOMIAL AND RATIONAL FUNCTIONS | |
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1. Polynomial Functions and Their Graphs | |
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2. Dividing Polynomials | |
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3. Real Zeros of Polynomials | |
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4. Complex Zeros and the Fundamental Theorem of Algebra | |
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5. Rational Functions |
| Chapter 5. | EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |
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1. Exponential Functions | |
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2. Logarithmic Functions | |
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3. Laws of Logarithms | |
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4. Exponential and Logarithmic Equations | |
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5. Modeling with Exponential and Logarithmic Functions |
| Chapter 6. | SYSTEMS OF EQUATIONS AND INEQUALITIES | |
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1. Systems of Equations | |
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2. Systems of Linear Equations in Two Variables | |
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3. Systems of Linear Equations in Several Variables | |
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4. Systems of Inequalities | |
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5. Partial Fractions |
| Chapter 7. | MATRICES AND DETERMINANTS | |
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1. Matrix Representation of Linear Systems | |
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2. The Algebra of Matrices | |
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3. Inverses of Matrices and Matrix Equations | |
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4. Determinants and Cramer's Rule |
| Chapter 8. | CONIC SECTIONS | |
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1. Parabolas | |
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2. Ellipses | |
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3. Hyperbolas | |
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4. Shifted Conics |
| Chapter 9. | SEQUENCES AND SERIES | |
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1. Sequences and Summation Notation | |
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2. Arithmetic Sequences | |
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3. Geometric Sequences | |
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4. Mathematics of Finance: Annuities | |
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5. Mathematical Induction | |
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6. The Binomial Theorem |
| Chapter 10. | COUNTING AND PROBABILITY | |
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1. Counting Principles | |
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2. Permutations and Combinations | |
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3. Probability | |
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4. Binomial Probability | |
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5. Expected Value |
| Chapter R. | Reviews | |
| 1. Review for Final |