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Course Name: PreCalculus
Course length: 40 hours of video instruction
Course Description:
TABLE OF CONTENTS

Review Chapter
    Section 1 The Real Number System
    Section 2 Algebraic Operations
    Section 3 Linear Equations and Inequalities
    Section 4 Rational Expressions
    Section 5 Radical Expressions
    Section 6 Quadratic Equations
    Section 7 The Rectangular Coordinate System
    Section 8 Polynomial and Rational Inequalities

Chapter 1: Functions--An Overview
    Section 1 Introduction to Functions
    Section 2 Function Notation
    Appendix: Using Calculator on Demand
    Section 3 Functions and Their Graphs
    Section 4 Applications of Functions
    Section 5 Operations with Functions

Chapter 2: Linear and Quadratic Functions
    Section 1 An Overview of Linear Functions
    Section 2 Geometry of Linear Functions
    Appendix: Fitting Linear Functions to Data
    Section 3 An Overview of Quadratic Functions
    Section 4 Geometry of Quadratic Functions

Chapter 3: Polynomial and Rational Functions
    Section 1 Polynomial and Power Functions
    Section 2 Graphs of Polynomial Functions
    Appendix: Finding Real Roots
    Section 3 Rational Functions

Chapter 4: Exponential and Logarithmic Functions
    Section 1 Overview of Exponential Functions
    Section 2 Exponential Functions of Base "e"
    Appendix: Fitting Exponential Functions to Data
    Section 3 Logarithms
    Section 4 Applications of Exponentials and Logarithms

Chapter 5: Trigonometric Functions
    Section 1 Angle Measure
    Section 2 Trigonometric Functions from Circular Motion
    Appendix: Evaluating and Plotting Trigonometric Functions
    Section 3 Transformation of Trigonometric Functions
    Section 4 Algebra and Identities of Trigonometric Functions
    Appendix: More Elaborate Trigonometric Identities
    Section 5 Proving Trigonometric Identities
    Section 6 Solving Trigonometric Equations

Chapter 6: Applications of Trigonometry
    Section 1 Right Triangle Trigonometry
    Section 2 The Law of Sines and the Law of Cosines
    Section 3 Polar Coordinates
    Section 4 Polar Form of Complex Numbers
    Section 5 Vectors in the Plane

Chapter 7: Analytic Geometry
    Section 1 Parametric Equations
    Section 2 Parabolas
    Section 3 Ellipses
    Section 4 Hyperbolas
    Section 5 Translation of Conics

Chapter 8: Systems of Equations
    Section 1 Systems of Linear Equations in Two Variables
    Section 2 Larger Systems of Linear Equations
    Appendix: Using the Matrix Tool
    Section 3 Matrix Operations
    Section 4 Nonlinear Systems of Equations
    Appendix: Solving Systems of Nonlinear Equations

Chapter 9: Sequences and Series
    Section 1 Overview of Sequences and Series
    Section 2 Arithmetic Sequences and Series
    Section 3 Geometric Sequences and Series
    Section 4 Mathematical Induction and the Binomial Theorem


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