College Calculus
A One-Term Course for Students with Previous Calculus Experience
- Authors:
- Michael E. Boardman, Pacific University, Oregon
- Roger B. Nelsen, Lewis and Clark College, Portland
- Date Published: August 2015
- availability: Temporarily unavailable - available from TBC
- format: Hardback
- isbn: 9781939512062
Hardback
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For students who have completed an introductory calculus course in high school, this textbook provides a thorough grounding in many subsequent single variable calculus topics. Beginning with a review of some high school calculus content, it proceeds to more advanced material including integration techniques, applications of the definite integral, separable and linear differential equations, hyperbolic functions, parametric equations and polar coordinates, L'Hôpital's rule and improper integrals, continuous probability models, and infinite series. Each chapter concludes with several 'Explorations', extended discovery investigations to supplement that chapter's material and enhance the learning experience. The text is ideal as the basis of a course for prospective majors in the STEM disciplines (science, technology, engineering, and mathematics). A one-term course based on this text provides students with a solid foundation in single variable calculus and prepares them for the next course in college-level mathematics, be it multivariable calculus, linear algebra, discrete mathematics or statistics.
Read more- Authors have a wealth of experience with the AP Calculus program
- Provides a bridge between advanced high school-level calculus and university-level mathematics
- Ideal for prospective majors in all STEM disciplines
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×Product details
- Date Published: August 2015
- format: Hardback
- isbn: 9781939512062
- length: 383 pages
- dimensions: 260 x 182 x 25 mm
- weight: 0.83kg
- availability: Temporarily unavailable - available from TBC
Table of Contents
Preface
0. Preparation for college calculus
1. Volume integrals and integration by parts
2. Arc length, trigonometric substitution, and surface area
3. Differential equations
4. The logistic model, partial fractions, and least squares
5. Physical applications of integration
6. The hyperbolic functions
7. Numerical integration
8. Parametric equations and polar coordinates
9. Improper integrals, L'Hôpital's rule, and probability
10. Infinite series (part I)
11. Infinite series (part II)
Appendix A. Topic outline for AP calculus AB
Appendix B. Useful formulas from geometry and trigonometry
Appendix C. Supplemental topics in single variable calculus
Appendix D. Supplemental explorations
Appendix E. Answers to odd-numbered exercises
Index.
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