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0. Prerequisites and Review.
0.1 Real Numbers.
0.2 Integer Exponents and Scientific Notation.
0.3 Polynomials: Basic Operations.
0.4 Factoring Polynomials.
0.5 Rational Expressions.
0.6 Rational Exponents and Radicals.
0.7 Complex Numbers.
1. Equations and Inequalities.
1.1 Linear Equations.
1.2 Applications Involving Linear Equations.
1.3 Quadratic Equations.
1.4 Other Types of Equations.
1.5 Linear Inequalities.
1.6 Polynomial and Rational Inequalities.
1.7 Absolute Value Equations and Inequalities.
2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint.
2.2 Graphing Equations: Point-Plotting, Intercepts, and Symmetry.
3. Functions and Their Graphs.
3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change.
3.3 Graphing Techniques: Transformations.
3.4 Operations on Functions and Composition of Functions.
3.5 One-to-One Functions and Inverse Functions.
3.6 Modeling Functions Using Variation.
4. Polynomial and Rational Functions.
4.1 Quadratic Functions.
4.2 Polynomial Functions of Higher Degree.
4.3 Dividing Polynomials: Long Division and Synthetic Division.
4.4 The Real Zeros of a Polynomial Function.
4.5 Complex Zeros: The Fundamental Theorem of Algebra.
4.6 Rational Functions.
5. Exponential and Logarithmic Functions.
5.1 Exponential Functions and Their Graphs.
5.2 Logarithmic Functions and Their Graphs.
5.3 Properties of Logarithms.
5.4 Exponential and Logarithmic Equations.
5.5 Exponential and Logarithmic Models.
6. Systems of Linear Equations and Inequalities.
6.1 Systems of Linear Equations in Two Variables.
6.2 Systems of Linear Equations in Three Variables.
6.3 Partial Fractions.
6.4 Systems of Linear Inequalities in Two Variables.
6.5 The Linear Programming Model.
7.1 Matrices and Systems of Linear Equations.
7.2 Matrix Algebra.
7.3 Matrix Equations; the Inverse of a Square Matrix.
7.4 The Determinant of a Square Matrix and Cramerâ€™s Rule.
8. Conics and Systems of Nonlinear Equations and Inequalities.
8.1 Conic Basics.
8.2 The Parabola.
8.3 The Ellipse.
8.4 The Hyperbola.
8.5 Systems of Nonlinear Equations.
8.6 Systems of Nonlinear Inequalities.
9. Sequences, Series, and Probability.
9.1 Sequences and Series.
9.2 Arithmetic Sequences and Series.
9.3 Geometric Sequences and Series.
9.4 Mathematical Induction.
9.5 The Binomial Theorem.
9.6 Counting, Permutations, and Combinations.
10. Trigonometric Functions.
10.1 Radian Measure and Applications.
10.2 Trigonometric Functions: The Unit Circle Approach.
10.3 Graphs of Sine and Cosine Functions.
Answers to Odd Numbered Exercises.