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**Precalculus Table of Contents**

P.1 Graphical Representation of Data
P.2 Graphs of Equations P.3 Lines in the Plane P.4 Solving Equations Algebraically and Graphically P.5 Solving Inequalities Algebraically and Graphically Chapter Project: Modeling the Volume of a Box Library of Functions 1. Functions and Their Graphs1.1 Functions1.2 Graphs of Functions 1.3 Shifting, Reflecting, and Stretching Graphs 1.4 Combinations of Functions 1.5 Inverse Functions Chapter Project: Modeling the Area of a Plot 2. Polynomial and Rational Functions2.1 Quadratic Functions2.2 Polynomial Functions of a 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 Chapter Project: Finding Points of Intersection 3. Exponential and Logarithmic Functions3.1 Exponential Functions and Their Graphs3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Solving Exponential and Logarithmic Equations 3.5 Exponential and Logarithmic Models Chapter Project: A Graphical Approach to Compound Interest Cumulative Test for Chapters P-3. 4. Trigonometric Functions4.1 Radian and Degree Measure4.2 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 Chapter Project: Fitting a Model to Data 5. Analytic Trigonometry5.1 Using Fundamental Identities5.2 Verifying Trigonometric Identities 5.3 Solving Trigonometric Equations 5.4 Sum and Difference Formulas 5.5 Multiple-Angle and Product-Sum Formulas Chapter Project: Projectile Motion 6. Additional Topics in Trigonometry6.1 Law of Sines6.2 Law of Cosines 6.3 Vectors in the Plane 6.4 Vectors and Dot Products 6.5 Trigonometric Form of a Complex Number Chapter Project: Adding Vectors Graphically Cumulative Test for Chapters 4-6. |
7. Systems of Equations and Inequalities7.1 Solving Systems of Equations7.2 Systems of Linear Equations in Two Variables 7.3 Multivariable Linear Systems 7.4 Systems of Inequalities 7.5 Linear Programming Chapter Project: Fitting Models to Data 8. Matrices and Determinants8.1 Matrices and Systems of Equations8.2 Operations with Matrices 8.3 The Inverse of a Square Matrix 8.4 The Determinant of a Square Matrix 8.5 Applications of Matrices and Determinants Chapter Project: Solving Systems of Equations 9. Sequences, Series, and Probability9.1 Sequences and Series9.2 Arithmetic Sequences and Partial Sums 9.3 Geometric Sequences and Series 9.4 Mathematical Induction 9.5 The Binomial Theorem 9.6 Counting Principles 9.7 Probability Chapter Project: Fitting Models to Data 10. Topics in Analytic Geometry10.1 Introduction to Conics: Parabolas10.2 Ellipses 10.3 Hyperbolas 10.4 Rotation and Systems of Quadratic Equations 10.5 Parametric Equations 10.6 Polar Coordinates 10.7 Graphs of Polar Equations 10.8 Polar Equations of Conics Chapter Project: Polar, Rectangular, and Parametric Forms Cumulative Test for Chapter 7-10. 11. Analytic Geometry in Three Dimensions11.1 The Three-Dimensional Coordinate System11.2 Vectors in Space 11.3 The Cross Product of Two Vectors 11.4 Lines and Planes in Space Chapter Project: Distance Between a Point and a Line 12. Limits and an Introduction to Calculus12.1 Introduction to Limits12.2 Techniques for Evaluation Limits 12.3 The Tangent Line Problem 12.4 Limits at Infinity and Limits of Sequences 12.5 The Area Problem |