# Alignment: Precalculus with Limits • Ron Larson • A Graphing Approach • Texas Edition • Sixth Edition

• Chapter 1 Functions and Their Graphs
• 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
• Chapter 2 Polynomial and Rational 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
• Chapter 3 Exponential and Logarithmic Functions
• 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
• Chapter 4 Trigonometric Functions
• 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
• Chapter 5 Analytic Trigonometry
• 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
• Chapter 6 Additional Topics in Trigonometry
• 6.1 Law of Sines
• 6.2 Law of Cosines
• 6.3 Vectors in the Plane
• 6.4 Vectors and Dot Products
• 6.5 Trigonometric Form of a Complex Number
• Chapter 7 Linear Systems and Matrices
• 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
• Chapter 8 Sequences, Series, and Probability
• 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
• Chapter 9 Topics in Analytic Geometry
• 9.1 Conics: 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
• Chapter 10 Analytic Geometry in Three Dimensions
• 10.1 The Three-Dimensional Coordinate System
• 10.2 Vectors in Space
• 10.3 The Cross Product of Two Vectors
• 10.4 Lines and Planes in Space
• Chapter 11 Limits and an Introduction to Calculus
• 11.1 Introduction to Limits
• 11.2 Techniques for Evaluating Limits
• 11.3 The Tangent Line Problem
• 11.4 Limits at Infinity and Limits of Sequences
• 11.5 The Area Problem
• Appendix A Technology Support Guide
• Appendix B Concepts in Statistics
• B.1 Representing Data Graphically
• B.2 Measures of Central Tendency and Dispersion
• B.3 Least Squares Regression
• Appendix C Review of Graphs, Equations, and Inequalities
• C.1 The Cartesian Plane
• C.2 Graphs of Equations
• C.3 Solving Equations Algebraically and Graphically
• C.4 Solving Inequalities Algebraically and Graphically
• Appendix D Variation
• Appendix E Solving Linear Equations and Inequalities
• Appendix F Systems of Inequalities
• F.1 Solving Systems of Inequalities
• F.2 Linear Programming
• Appendix G Mathematical Induction

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