
College Calculus
A One-Term Course for Students with Previous Calculus Experience
Mathematical Association of America (Publisher)
Will be published approx. on 30. December 2015
Book
Hardback
371 pages
978-1-939512-06-2 (ISBN)
Description
College Calculus: A One-Term Course for Students with Previous Calculus Experience is a textbook for students who have successfully experienced an introductory calculus course in high school. College Calculus begins with a brief review of some of the content of the high school calculus course, and proceeds to give students a thorough grounding in the remaining topics in single variable calculus, including integration techniques, applications of the definite integral, separable and linear differential equations, hyperbolic functions, parametric equations and polar coordinates, L Hopital'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.
The text is ideal as the basis of a course focused on the needs of 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, a course in discrete mathematics, statistics, etc.
The text is ideal as the basis of a course focused on the needs of 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, a course in discrete mathematics, statistics, etc.
Reviews / Votes
...I see this text being used in many different ways. Instructors can assign this text as summer reading as they progress to multivariable calculus, linear algebra, or ordinary and partial differential equations. It can also be used as a resource for tutors while tutoring or as supplementary or primary reading for Calculus II. It can also be used for the instructor to use for in-class examples or test questions. No matter how used, the student is sure to gain the knowledge of Calculus II and have a leg up over other students. I highly recommend this book." - Peter Olszewski, MAA ReviewsMore details
Series
Language
English
Place of publication
Washington DC
United States
Target group
Professional and scholarly
Dimensions
Height: 260 mm
Width: 182 mm
Thickness: 25 mm
Weight
830 gr
ISBN-13
978-1-939512-06-2 (9781939512062)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Roger B. Nelsen, Professor Emeritus of Mathematics, Lewis & Clark College, USA.
Michael E. Boardman, Professor of Mathematics, Pacific University, Oregon, USA.
Michael E. Boardman, Professor of Mathematics, Pacific University, Oregon, USA.
Content
Preface
Chapter 0. Preparation for College Calculus
Chapter 1. Volume Integrals and Integration by Parts
Chapter 2. Arc Length, Trigonometric Substitution, and Surface Area
Chapter 3. Differential Equations
Chapter 4. Logistic Model, Partial Fractions, Least Squares
Chapter 5. Physical Applications of Integration
Chapter 6. The Hyperbolic Functions
Chapter 7. Numerical Integration
Chapter 8. Parametric Equations and Polar Coordinates
Chapter 9. Improper Integrals, L'Hopital's Rule, and Probability
Chapter 10. Infinite Series (Part I)
Chapter 11. Infinite Series (Part II)
Appendices A-E
Index
Chapter 0. Preparation for College Calculus
Chapter 1. Volume Integrals and Integration by Parts
Chapter 2. Arc Length, Trigonometric Substitution, and Surface Area
Chapter 3. Differential Equations
Chapter 4. Logistic Model, Partial Fractions, Least Squares
Chapter 5. Physical Applications of Integration
Chapter 6. The Hyperbolic Functions
Chapter 7. Numerical Integration
Chapter 8. Parametric Equations and Polar Coordinates
Chapter 9. Improper Integrals, L'Hopital's Rule, and Probability
Chapter 10. Infinite Series (Part I)
Chapter 11. Infinite Series (Part II)
Appendices A-E
Index