Complex Zeros and the Fundamental Theorem of Algebra

Rational Functions

Chapter 4 Review

Chapter 4 Test

Focus on Modeling: Fitting Polynomial Curves to Data

Exponential and Logarithmic Functions

Chapter Overview

Exponential Functions

The Natural Exponential Function

Logarithmic Functions

Laws of Logarithms

Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Functions

Chapter 5 Review

Chapter 5t Test

Focus on Modeling: Fitting Exponential and Power Curves to Data

Cumulative Review Test: Chapters 3, 4, and 5

Trigonometric Functions: Right Triangle Approach

Chapter Overview

Angle Measure

Trigonometry of Right Triangles

Trigonometric Functions of Angles

Inverse Trigonometric Functions and Triangles

The Law of Sines

The Law of Cosines

Chapter 6 Review

Chapter 6 Test

Focus on Modeling: Surveying

Trigonometric Functions: Unit Circle Approach

Chapter Overview

The Unit Circle

Trigonometric Functions of Real Numbers

Trigonometric Graphs

More Trigonometric Graphs

Inverse Trigonometric Functions and Their Graphs

Modeling Harmonic Motion

Chapter 7 Review

Chapter 7 Test

Focus on Modeling: Fitting Sinusoidal Curves to Data

Analytic Trigonometry

Chapter Overview

Trigonometric Identities

Addition and Subtraction Formulas

Double-Angle, Half-Angle, and Sum-Product Identities

Basic Trigonometric Equations

More Trigonometric Equations

Chapter 8 Review

Chapter 8 Test

Focus on Modeling: Traveling and Standing Waves

Cumulative Review Test: Chapters 6, 7, and 8

Polar Coordinates and Parametric Equations

Chapter Overview

Polar Coordinates

Graphs of Polar Equations

Polar Form of Complex Numbers; DeMoivre's Theorem

Plane Curves and Parametric Equations

Chapter 9 Review

Chapter 9 Test

Focus on Modeling: The Path of a Projectile

Vectors in Two and Three Dimensions

Chapter Overview

Vectors in Two Dimensions

The Dot Product

Three ï¿½Dimensional Coordinate Geometry

Vectors in Three Dimensions

The Cross Product

Equations of Lines and Planes

Chapter 10 Review

Chapter 10 Test

Focus on Modeling: Vector Fields

Cumulative Review Test: Chapters 9 and 10

Systems of Equations and Inequalities

Chapter Overview

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Several Variables

Systems of Linear Equations: Matrices

The Algebra of Matrices

Inverses of Matrices and Matrix Equations

Determinants and Cramer's Rule

Partial Fractions

Systems of Non-Linear Equations

Systems

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