Active Prelude to Calculus is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus.
This text is written in the spirit of Active Calculus and is especially ideal for students who will eventually study calculus from that text. The reader will find that the text requires them to engage actively with the material, to view topics from multiple perspectives, and to develop deep conceptual understanding of ideas.Many courses at the high school and college level with titles such as “college algebra”, “precalculus”, and “trigonometry” serve other disciplines and courses other than calculus. As such, these prerequisite classes frequently contain wide-ranging material that, while mathematically interesting and important, isn't necessary for calculus. Perhaps because of these additional topics, certain ideas that are essential in calculus are under-emphasized or ignored.
The student workbook: Active Prelude to Calculus Activities Workbook
Conditions of Use
This book is licensed under a Creative Commons License (CC BY-NC-SA). You can download the ebook Active Prelude to Calculus for free.
- Title
- Active Prelude to Calculus
- Author(s)
- Matthew Boelkins
- Published
- 2024-01-15
- Edition
- 1
- Format
- eBook (pdf, epub, mobi)
- Pages
- 325
- Language
- English
- ISBN-10
- 1085940853
- ISBN-13
- 9781085940856
- License
- CC BY-NC-SA
- Book Homepage
- Free eBook, Errata, Code, Solutions, etc.
Acknowledgements Contributors Our Goals Features of the Text Students! Read this! Instructors! Read this! Relating Changing Quantities Changing in Tandem Functions: Modeling Relationships The Average Rate of Change of a Function Linear Functions Quadratic Functions Composite Functions Inverse Functions Transformations of Functions Combining Functions Circular Functions Traversing Circles The Unit Circle The Sine and Cosine Functions Sinusoidal Functions Exponential and Logarithmic Functions Exponential Growth and Decay Modeling with exponential functions The special number e What a logarithm is Properties and applications of logarithmic functions Modeling temperature and population Trigonometry Right triangles The Tangent Function Inverses of trigonometric functions Finding Angles Other Trigonometric Functions and Identities Polynomial and Rational Functions Infinity, limits, and power functions Polynomials Modeling with polynomial functions Rational Functions Key features of rational functions Index