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| P.1: Algebraic Expressions, Mathematical Models, and Real Numbers |
| P.2: Exponents and Scientific Notation |
| P.3: Radicals and Rational Exponents |
| P.4: Polynomials |
| P.5: Factoring Polynomials |
| P.6: Rational Expressions |
| P.7: Equations |
| P.8: Modeling with Equations |
| P.9: Linear Inequalities and Absolute Value Inequalities |
| 1.1: Graphs and Graphing Utilities |
| 1.1: Modeling with Functions |
| 1.2: Basics on Functions and Their Graphs |
| 1.3: More on Functions and Their Graphs |
| 1.4: Linear Functions and Slope |
| 1.5: More on Slope |
| 1.6: Transformations of Functions |
| 1.7: Combinations of Functions; Composite Functions |
| 1.8: Inverse Functions |
| 1.9: Distance and Midpoint Formulas; Circles |
| 2.1: Complex Numbers |
| 2.2: Quadratic Functions |
| 2.3: Polynomial Functions and Their Graphs |
| 2.4: Dividing Polynomials; Remainder and Factor Theorems |
| 2.5: Zeros of Polynomial Functions |
| 2.6: Rational Functions and Their Graphs |
| 2.7: Polynomial and Rational Inequalities |
| 2.8: Modeling Using Variation |
| 3.1: Exponential Functions |
| 3.2: Logarithmic Functions |
| 3.3: Properties of Logarithms |
| 3.4: Exponential and Logarithmic Equations |
| 3.5: Exponential Growth and Decay; Modeling Data |
| 4.1: Angles and Radian Measure |
| 4.2: Trigonometric Functions: The Unit Circle |
| 4.3: Right Triangle Trigonometry |
| 4.4: Trigonometric Function of Any Angle |
| 4.5: Graphs of Sine and Cosine Function |
| 4.6: Graphs of Other Trigonometric Functions |
| 4.7: Inverse Trigonometric Functions |
| 4.8: Applications of Trigonometric Functions |
| 5.1: Verifying Trigonometric Identities |
| 5.2: Sum and Difference Formulas |
| 5.3: Double-Angle, Power-Reducing, and Half-Angle Formulas |
| 5.4: Product-to-Sum and Sum-to-Product Formulas |
| 5.5: Trigonometric Equations |
| 6.1: The Law of Sines |
| 6.2: The Law of Cosines |
| 6.3: Polar Coordinates |
| 6.4: Graphs of Polar Equations |
| 6.5: Complex Numbers in Polar Form; DeMoivre’s Theorem |
| 6.6: Vectors |
| 6.7: The Dot Product |
| 7.1: Systems of Linear Equations in Two Variables |
| 7.2: Systems of Linear Equations in Three Variables |
| 7.3: Partial Fractions |
| 7.4: Systems of Nonlinear Equations in Two Variables |
| 7.5: Systems of Inequalities |
| 7.6: Linear Programming |
| 8.1: Matrix Solutions to Linear Systems |
| 8.2: Inconsistent and Dependent Systems and Their Applications |
| 8.3: Matrix Operations and Their Applications |
| 8.4: Multiplicative Inverses of Matrices and Matrix Equations |
| 8.5: Determinants and Cramer’s Rule |
| 9.1: The Ellipse |
| 9.2: The Hyperbola |
| 9.3: The Parabola |
| 9.4: Rotation of Axes |
| 9.5: Parametric Equations |
| 9.6: Conic Sections in Polar Coordinates |
| 10.1: Sequences and Summation Notation |
| 10.2: Arithmetic Sequences |
| 10.3: Geometric Sequences and Series |
| 10.4: Mathematical Induction |
| 10.5: The Binomial Theorem |
| 10.6: Counting Principles, Permutations, and Combinations |
| 10.7: Probability |
| 11.1: Finding Limits Using Tables and Graphs |
| 11.2: Finding Limits Using Properties of Limits |
| 11.3: Limits and Continuity |
| 11.4: Introduction to Derivatives |