Just-In-Time Algebra for Students of Calculus in the Management and Life Sciences

by Brent, Ronald I.; Mueller, Guntram

• ISBN13: 9780201746112
• ISBN10: 0201746115
• Edition: 2nd
• Format: Paperback
• Copyright: 2001-07-02
• Publisher: Pearson

Summary

Strong algebra skills are crucial to success in applied calculus. This text is designed to bolster these skills while students study applied calculus. As students make their way through the calculus course, this supplemental text shows them the relevant algebra topics and points out potential problem spots. the table of contents is organized so that the algebra topics are arranged in the order in which they are needed for applied calculus.

Table of Contents

Numbers and Their Disguises

Fractions, decimals, percent, powers, roots, scientific notation, calculators, rounding, intervals

Solving Equations

Equations of degree 1 and 2, the zero-factor property

Introducing Functions and Graphs

Various types of graphs, functions, domain and range, equations of lines, power functions, shifting, intersection of curves

Changing the Form of a Function

Factoring, canceling, rationalizing, extracting a factor from under a root

Simplifying Algebraic Expressions

Working with difference quotients and rational functions, canceling common factors, rationalizing expressions

Composition and Decomposition of Functions

Composite functions, inner, outer, and outermost functions, decomposing composite functions

Equations of Degree 1 Revisited

Solving linear equations involving derivatives

Word Problems

The geometry of rectangles, triangles, and circles, expressing one quantity as a function of one or more other quantities

Exponential and Logarithmic Functions

Working with graphs, expressions and equations of exponential functions, inverse functions, and logarithmic functions

Appendices

Completing the Square and Deriving the Quadratic Formula

Factorials

The Binomial Theorem

Answers to Exercises

Index

Table of Contents provided by Publisher. All Rights Reserved.