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Description
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Table of Contents
Author:
Dr. Cristina Berisso, Shasta College
TABLE OF CONTENTS
Chapter 1: Fundamentals of Algebra
Section 1 The Real Number System
Section 2 Algebraic Operations
Section 3 Linear Equations and Inequalities
Section 4 Rational Expressions
Section 5 Hadical Expressions
Section 6 Quadratic Equations
Section 7 The Rectangular Coordinate System
Section 8 Polynomial and Rational Inequalities
Appendix: Basic Geometry
Chapter 2: 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 3: 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 4: 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 5: 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 6: 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 Claborate Trigonometric Identities
Section 5 Proving Trigonometric Identities
Section 6 Solving Trigonometric Equations
Chapter 7: 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 8: Analytic Geometry
Section 1 Parametric Equations
Section 2 Parabolas
Section 3 Ellipses
Section 4 Hyperbolas
Section 5 Translation of Conics
Chapter 9: 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 Operations with Matrices
Section 4 Nonlinear Systems of Equations
Appendix: Solving Systems of Nonlinear Equations
Chapter 10: Sequences and Series
Section 1 Sequences and Series--Generalities and Notion
Section 2 Arithmetic Sequences and Series
Section 3 Geometric Sequences and Series
Section 4 Mathematical Induction and the Binomial Theorem
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