Just-in-Time Algebra and Trigonometry for Calculus

Häftad, Engelska, 2012

1 049 kr

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Are you ready to ace calculus at the college level? With this book, you will be! Professors often say “Students don’t fail the calculus, they fail the algebra.” In other words, even if you understand calculus, your algebra and trigonometry skills can hold you back. Here’s a quick quiz—do you remember how to:

Factor trinomials?
Solve equations containing exponents and logs?
Work with inverse trig functions?

If not, that’s where this book comes in handy! Just-in-Time is designed to bolster the algebra and trigonometry skills you’ll need while you study calculus. As you make your way through the course, Just-in-Time is with you every step of the way, showing you the exact algebra or trigonometry topics that you’ll need and pointing out potential problem spots. The easy-to-use Table of Contents features the calculus subject listed directly across from the algebra/trigonometry skills needed to master that topic. Use this book as your study companion and put your anxiety to rest!

Produktinformation

Utgivningsdatum2012-09-21
Mått211 x 274 x 12 mm
Vikt480 g
FormatHäftad
SpråkEngelska
Antal sidor216
Upplaga4
FörlagPearson Education
ISBN9780321671042

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Guntram B. Mueller received his PhD in Mathematics from the University of Notre Dame. He has taught calculus many times and is very familiar with the typical strengths and weaknesses in the backgrounds of his students. That experience is what guided him, in cooperation with Dr. Ron Brent, in writing the Just-in-Time series. His advice? Buy the book! It's got just what you need, just in time. Ronald I. Brent is a Professor of Mathematics at University of Massachusetts, Lowell, where he has taught since 1987. He earned his PhD in Mathematics from Rensselaer Polytechnic Institute. Dr. Brent is the author of many publications, including three Just-In-Time mathematics texts. His main advice to his calculus students is: “Work on your homework as if your life in this course depends upon it. Because it does!”

Calculus Topic: Review of Basics1. Numbers and Their DisguisesBrackets, multiplying and dividing fractions, adding and subtracting fractions, exponents, roots, percent, scientific notation, calculators, rounding, intervals Calculus Topic: Circles, Parabolas, etc.2. Completing the SquareCompleting the square in one and two variables Calculus Topic: Equations3. Solving EquationsEquations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property Calculus Topic: Functions and Graphs4. Functions and Their GraphsIntroduction, equations of lines, power functions, shifting graphs, intersection of curves Calculus Topic: Limits5. Changing the Form of a FunctionFactoring, canceling, long division, rationalizing, extracting a factor from under a radical Calculus Topic: Derivatives6. Simplifying Algebraic ExpressionsWorking with difference quotients and rational functions, canceling common factors, rationalizing expressions Calculus Topic: Derivatives of Trigonometric Functions7. Cyclic Phenomena: The Six Basic Trigonometric FunctionsAngles, definitions of the six trigonometric functions, special angles, graphs involving sin x and cos x, graphs of complex trigonometric functions Calculus Topic: The Chain Rule8. Composition and Decomposition of FunctionsComposite functions, inner, outer, and outermost functions, decomposing composite functions Calculus Topic: Implicit Differentiation9. Equations of Degree 1 RevisitedSolving linear equations involving derivatives Calculus Topic: Related Rates, Applied Max-Min Problems10. Word ProblemsAlgebraic word problems; the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines Calculus Topic: Integrating Trigonometric Functions11. Trigonometric IdentitiesRewriting trigonometric expressions using identities AppendicesA. Exponential FunctionsB. Inverse FunctionsC. Logarithmic FunctionsD. Inverse Trigonometric FunctionsE. The Binomial TheoremE. Derivation of the Quadratic Formula Answers to ExercisesIndex