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Clearly written and comprehensive, the tenth edition of Gustafson/Frisk/Hughes' popular book, COLLEGE ALGEBRA, 10E, provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanation to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life. This new edition has the mathematical precision instructors have come to expect, and by bringing in new co-author, Jeff Hughes, the authors have focused on making the text more modern to better illustrate to students the importance of math in their world.
- New section openers: these brief openers open a student's mind by showing, in a contemporary fashion, how math relates to a students world.
- Revision of Functions Chapter: one of the key concepts of the course, this chapter has been revised to be clearer, with special attention paid to the two main features of a function, domain and range. This revision was based on reviewer feedback.
- New Design: redesigned with the student in mind and how they utilize the text. For example, the Chapter Summary was redesigned to include concept definitions and examples, and place review problems at the bottom of each section.
- New Design: redesigned with the you in mind and how you use the text. For example, the Chapter Summary was redesigned to include concept definitions and examples, and place review problems at the bottom of each section.
A. REVIEW OF BASIC ALGEBRA.
Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials. Factoring Polynomials. Algebraic Fractions.
1. EQUATIONS AND INEQUALITIES.
Equations. Applications of Linear Equations. Quadratic Equations. Applications of Quadratic Equations. Complex Numbers. Polynomial and Radical Equations. Inequalities. Absolute Value.
2. THE RECTANGULAR COORDINATE SYSTEM AND GRAPHS OF EQUATIONS.
The Rectangular Coordinate System. The Slope of a Nonvertical Line. Writing Equations of Lines. Graphs of Equations. Proportion and Variation.
Functions and Function Notation. Quadratic Functions. Polynomial and Other Functions. Translating and Stretching Graphs. Rational Functions. Operations on Functions. Inverse Functions.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations.
5. SOLVING POLYNOMIAL EQUATIONS.
The Remainder and Factor Theorems: Synthetic Division. Descartes' Rule of Signs and Bounds on Roots. Rational Roots of Polynomial Equations. Irrational Roots of Polynomial Equations.
6. LINEAR SYSTEMS.
Systems of Linear Equations. Gaussian Eliminations and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Linear Inequalities. Linear Programming.
7. CONIC SECTIONS AND QUADRATIC SYSTEMS.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second-Degree Equations.
8. NATURAL NUMBER FUNCTIONS AND PROBABILITY.
The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. Computation of Compound Probabilities. Odds and Mathematical Expectation.
Appendix I: A Proof of the Binomial Theorem.
Appendix II: An Alternate Approach to Circles and Parabolas
Appendix III: Tables.
Table A. Powers and Roots. Table B. Base-10 Logarithms. Table C. Base-e Logarithms.
Appendix IV: Answers to Selected Exercises.
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
Instructor's Web Site with Complete Solutions Manual
This manual contains solutions to all exercises from the text, including Chapter Review Exercises, Chapter Tests, and Cumulative Review Exercises.
Instructor's Web Site with Test Bank
The test bank includes six tests per chapter as well as three final exams. The tests are made up of a combination of multiple-choice, free-response, true/false, and fill-in-the-blank questions.
Instructor's Web Site with PowerPoint®, Image Library
Everything you need for your course in one place! This collection of product-specific lecture and class tools is available online via the instructor resource center at www.cengage.com/login. You'll be able to access and download materials such as PowerPoint presentations, images, instructor’s manual, videos, and more.
Cengage Learning Testing, powered by Cognero Instant Access
Cognero® is a flexible, online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want. This is available online via www.cengage.com/login.
Student Solutions Manual
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
Annotated Instructor's Edition
Instructor Sample/Review copy of College Algebra, 12e.
Student Solutions Manual
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, so you can check your answers and ensure that you took the correct steps to arrive at an answer.