Cover: Preparation for Calculus, 1st Edition by Bruce Crauder; Benny Evans; Alan Noell

Preparation for Calculus

First Edition  ©2022 Bruce Crauder; Benny Evans; Alan Noell Formats: Achieve, E-book, Print

Authors

  • Headshot of Bruce Crauder

    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.


  • Headshot of Benny Evans

    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.


  • Headshot of Alan Noell

    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.

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

Product Updates

Preparation for Calculus and Achieve provide today’s students with a springboard for success in precalculus, calculus, and beyond

With a unique framework, Macmillan’s innovative online learning system Achieve, and a fresh approach guided by students’ needs, Preparation for Calculus: Functions and How They Change equips students with the necessary skills and confidence to succeed in their current precalculus course and beyond as a calculus student. The authors have written a text for today’s precalculus students: focusing on challenges observed in the modern classroom, rather than retrofitting antiquated practices to fit the present-day student. Preparation for Calculus promotes the deep integration of digital resources with easy-to-understand textbook content to develop strong calculation skills and mathematical sophistication.

Preparation for Calculus is intended to support instructors who seek to effectively prepare their students for subsequent courses in calculus. Through the text’s informal, intuitive, and early introduction to rates of change and limits, students are offered a dynamic view of functions that ties together the oftentimes intimidating and seemingly varied topics in precalculus. Preparation for Calculus presents these ideas as foundational for mathematical understanding, instead of as add-ons at the end of the book. The early and consistent presentation of these topics also allows for a capstone final chapter, which summarizes key precalculus concepts and applications. This demonstrates the unifying concepts between precalculus and calculus, while serving as a springboard for success in calculus.

Macmillan’s ground-breaking online learning tool, Achieve, redefines assessment and student engagement by providing flexible support for every instructor and detailed guidance for every student, all in an intuitive, accessible platform. Emulating the text’s focus on preparation, Achieve’s wide selection of both homework and multimedia resources is purposefully designed to support learning before, during, and after class. Assessment in Achieve is designed to teach by correcting students’ misconceptions through targeted feedback, warnings, and detailed step-by-step solutions. Achieve boasts a variety of resources, including videos and animations, guides for active learning, and interactive graphs and figures that help students visualize graphical relationships through Macmillan’s strategic partnership with Desmos.

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Bruce Crauder; Benny Evans; Alan Noell | First Edition | ©2022 | ISBN:9781319364977

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