Study Guide for Algebra And Trigonometry, Second Edition [Paperback]

James Stewart (Author), Lothar Redlin (Author), Saleem Watson (Author)

Book Description

Publication Date: January 12, 2006 | ISBN-10: 0495013587 | ISBN-13: 978-0495013587 | Edition: 2

This carefully crafted learning resource helps students develop their problem-solving skills while reinforcing their understanding with detailed explanations, worked-out examples, and practice problems. Students will also find listings of key ideas to master. Each section of the main text has a corresponding section in the Study Guide.

Editorial Reviews

Review

Prologue: Principles of Problem Solving. P. PREREQUISITES. Modeling the Real World. Real Numbers and Their Properties. The Real Number Line and Order. Integer Exponents. Rational Exponents and Radicals. Algebraic Expressions. Factoring Algebraic Expressions. Rational Expressions. Chapter P Review. Chapter P Test. Focus on Problem Solving: General Principles. 1. EQUATIONS AND INEQUALITIES. Chapter Overview. Basic Equations. Modeling with Equations. Quadratic Equations. Complex Numbers. Other Types of Equations. Inequalities. Absolute Value Equations and Inequalities. Chapter 1 Review. Chapter 1 Test. Focus on Modeling: Making the Best Decisions. 2. COORDINATES AND GRAPHS. Chapter Overview. The Coordinate Plane. Graphs of Equations in Two Variables. Graphing Calculators: Solving Equations Graphically. Lines. Modeling: Variation. Chapter 2 Review. Chapter 2 Test. Focus on Modeling: Fitting Lines to Data. Cumulative Review Test: Chapters 1 and 2. 3. FUNCTIONS. Chapter Overview. What Is a Function?. Graphs of Functions. Getting Information from the Graph of a Function. Average Rate of Change of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Chapter 3 Review. Chapter 3 Test. Focus on Modeling: Functions as Models. 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Chapter Overview. Quadratic Functions and Models. Polynomial Functions and Their Graphs. Dividing Polynomials. Real Zeros of Polynomials. Complex Numbers. Complex Zeros and the Fundamental Theorem of Algebra. Rational Functions. Chapter 4 Review. Chapter 4 Test. Focus on Modeling: Fitting Polynomial Curves to Data. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Chapter Overview. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Chapter 5 Review. Chapter 5 Test. Focus on Modeling: Fitting Exponential and Power Curves to Data. Cumulative Review Test: Chapters 3, 4, and 5. 6. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH. Chapter Overview. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles. The Law of Sines. The Law of Cosines. Chapter 6 Review. Chapter 6 Test. Focus on Modeling: Surveying. 7. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH. Chapter Overview. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs. Modeling Harmonic Motion. Chapter 7 Review. Chapter 7 Test. Focus on Modeling: Fitting Sinusoidal Curves to Data. 8. ANALYTIC TRIGONOMETRY. Chapter Overview. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Sum-Product Identities. Basic Trigonometric Equations. More Trigonometric Equations. Chapter 8 Review. Chapter 8 Test. Focus on Modeling: Traveling and Standing Waves. Cumulative Review Test: Chapters 6, 7, and 8. 9. POLAR COORDINATES AND PARAMETRIC EQUATIONS. Chapter Overview. Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre's Theorem. Plane Curves and Parametric Equations. Chapter 9 Review. Chapter 9 Test. Focus on Modeling: The Path of a Projectile. 10. VECTORS IN TWO AND THREE DIMENSIONS. Chapter Overview. Vectors in Two Dimensions. The Dot Product. Three -Dimensional Coordinate Geometry. Vectors in Three Dimensions. The Cross Product. Equations of Lines and Planes. Chapter 10 Review. Chapter 10 Test. Focus on Modeling: Vector Fields. Cumulative Review Test: Chapters 9 and 10. 11. SYSTEMS OF EQUATIONS AND INEQUALITIES. Chapter Overview. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Several Variables. Systems of Linear Equations: Matrices. The Algebra of Matrices. Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule. Partial Fractions. Systems of Non-Linear Equations. Systems of Inequalities. Chapter 11 Review. Chapter 11 Test. Focus on Modeling: Linear Programming. 12. ANALYTIC GEOMETRY. Overview. Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Equations of Conics. Chapter 12 Review. Chapter 12 Test. Focus on Modeling: Conics in Architecture. Cumulative Review Test: Chapters 11 and 12. 13. SEQUENCES AND SERIES. Chapter Overview. Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematics of Finance. Mathematical Induction. The Binomial Theorem. Chapter 13 Review. Chapter 13 Test. Focus on Modeling: Difference Equations. 14. COUNTING AND PROBABILITY. Chapter Overview. Counting Principles. Permutations and Combinations. Probability. Binomial Probability. Expected Value. Chapter 14 Review. Chapter 14 Test. Focus on Modeling: The Monte Carlo Method. Cumulative Review Test: Chapters 11 and 12. APPENDIX Calculators and Calculations.

About the Author

James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently a Professor of Mathematics at McMaster University. His research field is harmonic analysis. James Stewart is the author of a best-selling calculus textbook series published by Brooks/Cole, including CALCULUS, 5th Edition, CALCULUS: EARLY TRANSCENDENTALS, 5th Edition, and CALCULUS: CONCEPTS AND CONTEXTS, 3rd Edition, as well as a series of precalculus texts.

Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington College. His research field is topology.

Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis. --This text refers to an alternate Paperback edition.

Product Details

• Paperback: 340 pages
• Publisher: Brooks Cole; 2 edition (January 12, 2006)
• Language: English
• ISBN-10: 0495013587
• ISBN-13: 978-0495013587
• Product Dimensions: 9.2 x 7.4 x 0.8 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Average Customer Review: 4.4 out of 5 stars  See all reviews (12 customer reviews)
• Amazon Best Sellers Rank: #377,043 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

14 of 15 people found the following review helpful:

5.0 out of 5 stars Great book, June 28, 2007

By 

Y. Sim (Tucson, AZ USA) - See all my reviews
(REAL NAME)   

Amazon Verified Purchase

This review is from: Algebra and Trigonometry (Hardcover)

This math book helped me get into calculus without much of a mathematical background. I messed around in high school too much :p. For three months I intensely studied this book - I nearly answered all the question. I bought the answer guide to help me see what I was doing wrong. The book is easy to read and understand; all the steps are explained in an orderly manner. If you get stuck, try reading the chapter again, you might have missed a critical part of the puzzle.

Many wonderful long night hours with this book. It's hard enough to keep your attention and make you want to strive to improve.

10 of 10 people found the following review helpful:

5.0 out of 5 stars The best book to prepare for calculus!!, September 4, 2008

By 

Linda N - See all my reviews

This review is from: Algebra and Trigonometry- 2nd Edition (with Video Skillbuilder CD-ROM ) (Hardcover)

I had this textbook for my precalculus class, almost never attended the clas, but got all A's on the test and A final grade -- all thanks to this book. You literally don't need a teacher, or any other sources, even if you not a science person, you will be able to understand the concepts. It has a lot of sample problems solved in each section, and then at the end of each section, the problems are listed from very simple to moderate to high difficulty. So once you will solve the simple problems, that will give you ability to solve moderate problems, and then difficult ones from there...

6 of 6 people found the following review helpful:

5.0 out of 5 stars Great Investment, January 11, 2009

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Rebecca - See all my reviews

This review is from: Study Guide for Algebra And Trigonometry, Second Edition (Paperback)

I recommend this book as a quick review of Trig or as extra help along with the textbook for those learning Trig. This book impressed me because it is straightforward and easy to follow. I am terrible at math and I always make dumb mistakes, but this book has all the answers worked out. I used to sit there for hours trying to figure out why I was getting all the answers wrong when I thought I understood how to do the problems. After I bought this book, I was able to see what my mistakes were and correct them within seconds of doing the problem. You might still need help from a person occasionally if you're confused about something in the book, but for the most part this book is better than a tutor because it is more efficient. Instead of waiting for someone else to figure out what your mistakes are, you can just compare your work to the book's!

If you're great at math this book is a great review book because it goes quickly through the essentials in an organized fashion. There is no fluff. If you're trying to cram, it tells you what's most important.