Preparation for Calculus

Functions and How They Change

First Edition

Publication Date: April 15, 2022

Paperback ISBN: 9781319466367

Pages: 960

A springboard for success in Calculus.

With a unique framework and a fresh approach Preparation for Calculus equips students with the necessary skills and confidence to succeed in their foundational calculus course and beyond. The authors focus on challenges observed in the modern classroom to create an accessible resource...

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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

Detailed examples include a thorough, worked solution and a Try It Yourself feature allowing students to practice similar calculations themselves and develop calculation skills through active participation.
An extensive collection of models and applications, many taken from scientific literature, show students real-world applications of the concepts developed in the text.
Intuitive presentation of limits and rates of change early on in the text and integrated throughout gives students a dynamic view of functions and their graphs.
Each chapter ends with questions to help solidify the students understanding and skill building exercises to encourage independent practice of calculus methods.

Achieve is Macmillan Learning’s complete online learning system. It houses instructor resources to support teaching and a range of interactive resources and the full ebook to help students succeed in their course. Access to Achieve for instructors is available on this page. Student access to Achieve could be through their institution if the institution has signed a licence or as a separate student purchase. The instructor must set up a course for students to benefit from this product.

Achieve for Preparation for Calculus is an online learning system backed by extensive development and research. Proven to increase student engagement and boost performance, Achieve offers:

Access to the ebook to download, read and virtually annotate for a completely flexible experience.
Course and book-specific resources including adaptive quizzing to personalise the experience for students.
A grade book, assignable assessments with targeted feedback, insights and reporting, instructor resources - all with seamless integration options.
Integrated with iClicker so that instructors and students can benefit in class and remotely from an industry leading student response system.
Dynamic Figures and Graded Graphs give students an opportunity to manipulate graphs and equations to see the dynamic nature of functions in real time.
The easy-to-use math assessment engine provides tutorial-style homework problems that help students build a deeper understanding of precalculus through a variety of question types, both computational and conceptual.

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.

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