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| 1.1: Lines in the Plane |
| 1.2: Functions |
| 1.3: Graphs of Functions |
| 1.4: Shifting, Reflecting, and Stretching Graphs |
| 1.5: Combinations of Functions |
| 1.6: Inverse Functions |
| 1.7: Linear Models and Scatter Plots |
| 2.1: Quadratic Functions |
| 2.2: Polynomial Functions of Higher Degree |
| 2.3: Real Zeros of Polynomial Functions |
| 2.4: Complex Numbers |
| 2.5: The Fundamental Theorem of Algebra |
| 2.6: Rational Functions and Asymptotes |
| 2.7: Graphs of Rational Functions |
| 2.8: Quadratic Models |
| 3.1: Exponential Functions and Their Graphs |
| 3.2: Logarithmic Functions and Their Graphs |
| 3.3: Properties of Logarithms |
| 3.4: Solving Exponential and Logarithmic Equations |
| 3.5: Exponential and Logarithmic Models |
| 3.6: Nonlinear Models |
| 4.1: Radian and Degree Measure |
| 4.2: Trigonometric Functions: The Unit Circle |
| 4.3: Right Triangle Trigonometry |
| 4.4: Trigonometric Functions of Any Angle |
| 4.5: Graphs of Sine and Cosine Functions |
| 4.6: Graphs of Other Trigonometric Functions |
| 4.7: Inverse Trigonometric Functions |
| 4.8: Applications and Models |
| 5.1: Using Fundamental Identities |
| 5.2: Verifying Trigonometric Identities |
| 5.3: Solving Trigonometric Equations |
| 5.4: Sum and Difference Formulas |
| 5.5: Multiple-Angle and Product-to-Sum Formulas |
| 6.1: Law of Sines |
| 6.2: Law of Cosines |
| 6.3: Vectors in the Plane |
| 6.4: Vectors and Dot Products |
| 6.5: The Complex Plane |
| 6.6: Trigonometric Form of a Complex Number |
| 7.1: Solving Systems of Equations |
| 7.2: Systems of Linear Equations in Two Variables |
| 7.3: Multivariable Linear Systems |
| 7.4: Matrices and Systems of Equations |
| 7.5: Operations with Matrices |
| 7.6: The Inverse of a Square Matrix |
| 7.7: The Determinant of a Square Matrix |
| 7.8: Applications of Matrices and Determinants |
| 8.1: Sequences and Series |
| 8.2: Arithmetic Sequences and Partial Sums |
| 8.3: Geometric Sequences and Series |
| 8.4: The Binomial Theorem |
| 8.5: Counting Principles |
| 8.6: Probability |
| 9.1: Circles and Parabolas |
| 9.2: Ellipses |
| 9.3: Hyperbolas and Rotation of Conics |
| 9.4: Parametric Equations |
| 9.5: Polar Coordinates |
| 9.6: Graphs of Polar Equations |
| 9.7: Polar Equations of Conics |
| 10.1: The Three-Dimensional Coordinate System |
| 10.2: Vectors in Space |