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Math 170    PRECALCULUS WITH LIMITS
                    A Graphing Approach 3rd. Edition

Intermediate Algebra

 

Houghton Mifflin

 

Chapter P   Prerequisites

                 Graphical Representation of Data

                 Graphs of Equations

                 Lines in the Plane

                 Solving Equations Algebraically and Graphically

                 Solving Inequalities Algebraically and Graphically

 

Chapter 1   Functions and Their Graphs

                 Functions

                 Graphs of Functions

                 Shifting, Reflecting, and Stretching Graphs

                 Combination of Functions

                 Inverse Functions

                

Chapter 2   Polynomial and Rational Functions

                 Quadratic Functions

                 Polynomial Functions of Higher Degree

                 Real Zeros of Polynomial Functions

                 Complex Numbers

                 The Fundamental Theorem of Algebra

                 Rational Functions and Asymptotes

                 Graphs of Rational Functions

 

Chapter 3   Exponential and Logarithmic Functions

                 Exponential Functions and Their Graphs

                 Logarithmic Functions and Their Graphs

                 Properties of Logarithms

                 Solving Exponential and Logarithmic Equations

                 Exponential and Logarithmic Models

                

Chapter 4   Trigonometric Functions

                 Radian and Degree Measure

                 Trigonometric Functions: The Unit Circle

                 Right Triangle Trigonometry

                 Trigonometric Functions of Any Angle

                 Graphs of Sine and Cosine Functions

                 Graphs of Other Trigonometric Functions

                 Inverse Trigonometric Functions

                 Applications and Models

 

Chapter 5   Analytic Trigonometry

                 Using Fundamental Identities

                 Verifying Trigonometric Identities

                 Solving Trigonometric Equations

                 Sum and Difference Formulas

                 Multiple-Angle and Product-Sum Formulas

                

Chapter 6   Additional Topics in Trigonometry

                 Law of Sines

                 Law of Cosines

                 Vectors in the Plane

                 Vectors and Dot Products

                 Trigonometric Form of a Complex Number

                

Chapter 7   Systems of  Equations and Inequalities

                 Solving Systems of Equations

                 Systems of Linear Equations in Two Variables

                 Multivariable Linear Systems

                 Systems of Inequalities

                 Linear Programming

 

Chapter 8   Matrices and Determinants

                 Matrices and Systems of Equations

                 Operations with Matrices

                 The Inverse of a Square Matrix

                 The Determinant of a Square Matrix

                 Applications of Matrices and Determinants

 

Chapter 9   Sequences, Series, and Probability

                 Sequences and Series

                 Arithmetic Sequences and Partial Sums

                 Geometric Sequences and Series

                 Mathematical Induction

                 The Binomial Theorem

                 Counting Principles

                 Probability

 

Chapter 10  Topics in Analytic Geometry

                      Introduction to Conics; Parabolas

                  Ellipses

                  Hyperbolas

                  Rotation and Systems of Quadratic Equations

                  Parametric Equations

                  Polar Coordinates

                  Graphs of Polar Equations

                  Polar Equations of Conics

 

Chapter 11 Analytic Geometry in Three Dimensions

                 The Three-Dimensional Coordinates System

                 Vectors in Space

                 The Cross Product of Two Vectors

                 Lines and Planes in Space

                

Chapter 12 Limits and an Introduction to Calculus

                 Introduction to Limits

                     Techniques for Evaluating Limits

                 The Tangent Line Problem

                 Limits at Infinity and Limits of Sequences

                 The Area Problem

                

                

 

 

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