Algebra and Trigonometry With Analytic Geometry

by Swokowski, Earl W.; Cole, Madison Jeffery

• ISBN13: 9780534931902
• ISBN10: 0534931901
• Edition: 8th
• Format: Hardcover
• Copyright: 1996-09-05
• Publisher: Brooks Cole

Summary

Think of it as portable office hours! The Interactive Video Skillbuilder CD-ROM contains more than eight hours of video instruction. The problems worked during each video lesson are shown next to the viewing screen so that student can try working them before watching the solution. To help students evaluate their progress, each section contains a 10-question Web quiz (the results of which can be emailed to the instructor) and each chapter contains a chapter test, with answers to each problem on each test.

Table of Contents

Fundamental Concepts Of Algebra

Real Numbers

Exponents and Radicals

Algebraic Expressions

Fractional Expressions.

Chapter 1 Review Exercises.

Chapter 1 Discussion Exercises

Equations And Inequalities

Equations

Applied Problems

Quadratic Equations

Complex Numbers

Other Types of Equations

Inequalities

More on Inequalities.

Chapter 2 Review Exercises.

Chapter 2 Discussion Exercises

Functions And Graphs

Rectangular Coordinate Systems

Graphs of Equations

Lines

Definition of Function

Graphs of Functions

Quadratic Functions

Operations on Functions.

Chapter 3 Review Exercises.

Chapter 3 Discussion Exercises

Polynomial And Rational Functions

Polynomial Functions of Degree Greater than

Properties of Division

Zeros of Polynomials

Complex and Rational Zeros of Polynomials

Rational Functions

Variation.

Chapter 4 Review Exercises.

Chapter 4 Discussion Exercises

Inverse, Exponential, And Logarithmic Functions

Inverse Functions

Exponential Functions

The Natural Exponential Function

Logarithmic Functions

Properties of Logarithms

Exponential and Logarithmic Equations.

Chapter 5 Review Exercises.

Chapter 5 Discussion Exercises

The Trigonometric Functions

Angles

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Values of Trigonometric Functions

Trigonometric Graphs

Additional Trigonometric Graphs

Applied Problems.

Chapter 6 Review Exercises.

Chapter 6 Discussion Exercises

Analytic Trigonometry

Verifying Trigonometric Identities

Trigonometric Equations

The Addition and Subtraction Formulas

Multiple-Angle Formulas

Product-to-Sum and Sum-to-Product Formulas

The Inverse Trigonometric Functions.

Chapter 7 Review Exercises.

Chapter 7 Discussion Exercises

Applications Of Trigonometry

The Law of Sines

The Law of Cosines

Trigonometric Form for Complex Numbers

De Moivre's Theorem and nth Roots of Complex Numbers

Vectors

The Dot Product.

Chapter 8 Review Exercises.

Chapter 8 Discussion Exercises

Systems Of Equations And Inequalities

Systems of Equations

Systems of Linear Equations in Two Variables

Systems of Linear Equations in More than Two Variables

Partial Fractions

Systems of Inequalities

Linear Programming

The Algebra of Matrices

The Inverse of a Matrix

Determinants

Properties of Determinants.

Chapter 9 Review Exercises.

Chapter 9 Discussion Exercises

Sequences, Series And Probability

Infinite Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Mathematical Induction

The Binomial Theorem

Permutations

Distinguishable Permutations and Combinations

Probability.

Chapter 10 Review Exercises.

Chapter 10 Discussion Exercises

Topics From Analytic Geometry

Parabolas

Ellipses

Hyperbolas

Plane Curves and Parametric Equations

Polar Coordinates

Polar Equations of Conics.

Chapter 11 Review Exercises.

Chapter 11 Discussion Exercises

Using a TI-82/83 Graphing Calculator

Common Graphs and Their Equations

A Summary of Graph Transformations

Graphs of the Trigonometric Functions and Their Inverses

Answers to Selected Exercises

Index of Applications

Index

Table of Contents provided by Publisher. All Rights Reserved.