Preparation for Calculus by Bruce Crauder; Benny Evans; Alan Noell - First Edition, 2022 from Macmillan Student Store

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Preparation for Calculus

First  Edition©2022  Bruce Crauder; Benny Evans; Alan Noell

About

Designed and authored to prepare students for the endeavor of calculus.
Preparation for Calculus is a roadmap that will serve as your gateway to success in your current precalculus course, equipping you with the mindset and tools to succeed in your future calculus course. Once you master the concepts of limits and rates of change, you will have access to new and more effective ways to understand functions and their graphs, and you will be ready to effectively tackle calculus and apply your skills in the coursework beyond.

Table of Contents

P THE COORDINATE PLANE AND INEQUALITIES
1 FUNCTIONS AND HOW THEY CHANGE
2 OPERATIONS ON FUNCTIONS AND GRAPHS
3 LINEAR AND EXPONENTIAL FUNCTIONS
4 LOGARITHMS
5 POLYNOMIALS AND RATIONAL FUNCTIONS
6C INTRODUCTION TO TRIGONOMETRY: A UNIT CIRCLE APPROACH
6T INTRODUCTION TO TRIGONOMETRY: A RIGHT TRIANGLE APPROACH
7 GRAPHS AND PERIODICITY OF TRIGONOMETRIC FUNCTIONS
8 ALGEBRA OF TRIGONOMETRIC FUNCTIONS
9 TOPICS IN GEOMETRY
10 A QUALITATIVE EXPLORATION OF RATES OF CHANGE
APPENDICES
MATERIALS AVAILABLE ONLINE:
0 ALGEBRA REVIEW
11 SYSTEMS OF EQUATIONS AND MATRICES
12 ANALYTIC GEOMETRY OF CONIC SECTIONS
13 SEQUENCES, SUMS, AND THE BINOMIAL THEOREM

Bruce Crauder

Bruce Crauder received his B.A. from Haverford College and his M.S. and Ph.D. from Columbia University. After post-doctoral positions at the Institute for Advanced Study, the University of Utah, and the University of Pennsylvania, Crauder came to Oklahoma State University, where he is now Professor of Mathematics and Associate Dean. Crauder’s research in algebraic geometry has resulted in 10 refereed articles in as many years in his specialty, three-dimensional birational geometry.

Benny Evans

Benny Evans received his Ph.D. in mathematics from the University of Michigan. He is currently Professor of Mathematics at Oklahoma State University, where he has served as undergraduate director, associate head, and department head. He has held visiting appointments at the Institute for Advanced Study, Rice University, and Texas A&M. His research interests are topology and mathematics education.

Alan Noell

Alan Noell has a B.A. degree in Mathematics from Texas A&M University, and M.A. and Ph.D. degrees in Mathematics from Princeton University. After a postdoctoral position at CalTech, in 1985 he joined the faculty at Oklahoma State University, where he is now Professor of Mathematics. His research interests are in the area of several complex variables. He has also enjoyed working in the area of curriculum development. His work has been supported by the National Science Foundation and other sources.