Algebra and Trigonometry With Analytic Geometry

, by Swokowski, Earl W.; Cole, Madison Jeffery

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ISBN: 9780534931902 | 0534931901
Cover: Hardcover
Copyright: 9/5/1996

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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.

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.

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Algebra and Trigonometry With Analytic Geometry

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Table of Contents

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