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Algebra for College Students -With CD

Algebra for College Students -With CD - 8th edition

ISBN13: 978-0495105107

Cover of Algebra for College Students -With CD 8TH 07 (ISBN 978-0495105107)
ISBN13: 978-0495105107
ISBN10: 0495105104
Cover type: Hardback
Edition/Copyright: 8TH 07
Publisher: Brooks/Cole Publishing Co.
Published: 2007
International: No

List price: $241.00

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Algebra for College Students -With CD - 8TH 07 edition

ISBN13: 978-0495105107

Jerome E. Kaufmann and Karen L. Schwitters

ISBN13: 978-0495105107
ISBN10: 0495105104
Cover type: Hardback
Edition/Copyright: 8TH 07
Publisher: Brooks/Cole Publishing Co.

Published: 2007
International: No
Summary

Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; use the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses in an easy-to-read format.

The new Eighth Edition of ALGEBRA FOR COLLEGE STUDENTS includes new and updated problems, revised content based on reviewer feedback and a new function in iLrn. This enhanced iLrn homework functionality was designed specifically for Kaufmann/Schwitters' users. Textbook-specific practice problems have been added to iLrn to provide additional, algorithmically-generated practice problems, along with useful support and assistance to solve the problems for students.

New to the Edition

  • Sections 7.1 and 7.2 have been reorganized, based on reviewer feedback. Section 7.1, Rectangular Coordinate System and Linear Equations, includes only linear equations in two variables. Section 7.2, Graphing Nonlinear Equations, emphasizes graphing nonlinear equations.
  • Based on reviewer feedback, the traditional concept of "series" has been replaced with the more modern idea of "finding the sum of a number of terms of a sequence" within Chapter 14. Chapter 14 has been renamed "Sequences and Mathematical Induction."
  • iLrn with HOMEWORK FUNCTIONALITY. Assigned by the instructor, the enhanced iLrn functionality provides direct tutorial assistance to students solving specific questions from the textbook's Problem Sets. This powerful program gives students the opportunity to try similar, algorithmically-generated problems, detailed tutorial help, the ability to solve the problem in steps, and helpful hints in solving the problem.
  • Updated and new problems have been integrated into this edition.
  • 40 HOURS/WEEK OF ONLINE TUTORING are available to your students with the purchase of a new textbook. Students can access the live online vMentor tutoring service through iLrn Tutorial which is packaged with their text.


Features

  • THOUGHTS INTO WORDS are included in every problem set except the review exercises. These problems are designed to give students an opportunity to express in written form their thoughts about various mathematical ideas.
  • FURTHER INVESTIGATIONS are included in many of the problem sets. These problems offer more challenging exercises. They also provide the instructor with flexibility in incorporating advanced mathematical topics depending on specific course needs.
  • CLEAR-CUT 3-STEP PROBLEM-SOLVING APPROACH. Kaufmann/Schwitters straightforward, 3-step problem-solving approach is introduced and reinforced throughout the textbook. The steps are: learn the algebraic skill; use the skill to help solve equations; apply the skill to solve the application problem.
  • CUMULATIVE REVIEW PROBLEM SETS are included after Chapters 3, 5, 7, and 9. These help students remember skills that were introduced earlier.
  • PROBLEM SETS have been constructed on an even-odd basis; all variations of skill-development exercises are contained in both the even and odd numbered problems.
  • The Student Solutions Manual has been written by the text author, Karen Schwitters. This helps with continuity, and provides content that is consistent with the book.
  • CHAPTER OPENING VIGNETTES. These favorite features set the key mathematical concept in the context of the real world.

Table of Contents

1. BASIC CONCEPTS AND PROPERTIES

Sets, Real Numbers, and Numerical Expressions
Operations with Real Numbers
Properties of Real Numbers and the Use of Exponents
Algebraic Expressions
Summary
Review Problem Set
Test

2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING

Solving First-Degree Equations
Equations Involving Fractional Forms
Equations Involving Decimals and Problem Solving
Formulas
Inequalities
More on Inequalities and Problem Solving
Equations and Inequalities Involving Absolute Value
Summary
Review Problem Set
Test

3. POLYNOMIALS

Polynomials: Sums and Differences
Products and Quotients of Monomials
Multiplying Polynomials
Factoring: Use of the Distributive Property
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes
Factoring Trinomials
Equations and Problem Solving
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-3)

4. RATIONAL EXPRESSIONS

Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
More on Rational Expressions and Complex Fractions
Dividing Polynomials
Fractional Equations
More Fractional Equations and Applications
Summary
Review Problem Set
Test

5. EXPONENTS AND RADICALS

Using Integers as Exponents
Roots and Radicals
Combining Radicals and Simplifying Radicals That Contain Variables
Products and Quotients Involving Radicals
Equations Involving Radicals
Merging Exponents and Roots
Scientific Notation
Summary
Review Problems Set
Test

6. QUADRATIC EQUATIONS AND INEQUALITIES

Complex Numbers
Quadratic Equations
Completing the Square
Quadratic Formula
More Quadratic Equations and Applications
Quadratic and Other Nonlinear Inequalities
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-6)

7. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES

Rectangular Coordinate System and Linear Equations
Graphing Nonlinear Equations Linear Inequalities in Two Variables
Distance and Slope
Determining the Equation of a Line
Summary
Review Problem Set
Test

8. FUNCTIONS

Concept of a Function
Linear Functions and Applications
Quadratic Functions
More Quadratic Functions and Applications
Transformations of Some Basic Curves
Combining Functions
Direct and Inverse Variation
Summary
Review Problem Set
Test

9. POLYNOMIAL AND RATIONAL FUNCTIONS

Synthetic Division
Remainder and Factor Theorems
Polynomial Equations
Graphing Polynomial Functions
Graphing Rational Functions
More on Graphing Rational Functions
Summary
Review Problem Set
Test

10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Exponents and Exponential Functions
Applications of Exponential Functions
Inverse Functions
Logarithms
Logarithmic Functions
Exponential Equations, Logarithmic Equations, and Problem Solving
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapter 1-10)

11. SYSTEMS OF EQUATIONS

Systems of Two Linear Equations in Two Variables
Systems of Three Linear Equations in Three Variables
Matrix Approach to Solving Linear Systems
Determinants
Cramer's Rule
Partial Fractions
Summary
Review Problem Set
Test

12. ALGEBRA OF MATRICES

Algebra of 2 X 2 Matrices
Multiplicative Inverses
m x n Matrices
Systems of Linear Inequalities: Linear Programming. Summary
Review Problem Set
Test

13. CONIC SECTIONS

Circles
Parabolas
Ellipses
Hyperbolas
System Involving Nonlinear Equations
Summary
Review Problem Set
Test

14. SEQUENCES AND MATHEMATICAL INDUCTION

Arithmetic Sequences
Geometric Sequences
Another Look at Problem Solving
Mathematical Induction
Summary
Review Problem Set
Test

15. COUNTING TECHNIQUES, PROBABILITY, AND THE BINOMIAL THEOREM

Fundamental Principle of Counting
Permutations and Combinations
Probability
Some Properties of Probability: Expected Values
Conditional Probability: Dependent and Independent Events
Binomial Theorem
Summary
Review Problem Set
Test

Appendix A: Common Logarithms
Appendix B: Natural Logarithms
Answers
Index