| Hardcover ISBN: | 978-1-93951-206-2 |
| Product Code: | TEXT/28 |
| List Price: | $75.00 |
| MAA Member Price: | $56.25 |
| AMS Member Price: | $56.25 |
| eBook ISBN: | 978-1-61444-616-3 |
| Product Code: | TEXT/28.E |
| List Price: | $69.00 |
| MAA Member Price: | $51.75 |
| AMS Member Price: | $51.75 |
| Hardcover ISBN: | 978-1-93951-206-2 |
| eBook: ISBN: | 978-1-61444-616-3 |
| Product Code: | TEXT/28.B |
| List Price: | $144.00 $109.50 |
| MAA Member Price: | $108.00 $82.13 |
| AMS Member Price: | $108.00 $82.13 |
| Hardcover ISBN: | 978-1-93951-206-2 |
| Product Code: | TEXT/28 |
| List Price: | $75.00 |
| MAA Member Price: | $56.25 |
| AMS Member Price: | $56.25 |
| eBook ISBN: | 978-1-61444-616-3 |
| Product Code: | TEXT/28.E |
| List Price: | $69.00 |
| MAA Member Price: | $51.75 |
| AMS Member Price: | $51.75 |
| Hardcover ISBN: | 978-1-93951-206-2 |
| eBook ISBN: | 978-1-61444-616-3 |
| Product Code: | TEXT/28.B |
| List Price: | $144.00 $109.50 |
| MAA Member Price: | $108.00 $82.13 |
| AMS Member Price: | $108.00 $82.13 |
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Book DetailsAMS/MAA TextbooksVolume: 28; 2015; 371 pp
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' 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.
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.
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Table of Contents
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Chapters
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Chapter 0. Preparation for College Calculus
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Chapter 1. Volume Integrals and Integration by Parts
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Chapter 2. Arc Length, Trigonometric Substitution, and Surface Area
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Chapter 3. Differential Equations: Graphical, Numerical, and Symbolic Solutions
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Chapter 4. Logistic Model, Partial Fractions, Least Squares
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Chapter 5. Physical Applications of Integration
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Chapter 6. The Hyperbolic Functions
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Chapter 7. Numerical Integration
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Chapter 8. Parametric Equations and Polar Coordinates
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Chapter 9. Improper Integrals, L’Hôpital’s Rule, and Probability
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Chapter 10. Infinite Series (Part I)
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Chapter 11. Infinite Series (Part II)
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Additional Material
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Reviews
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... 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 Reviews
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a courseAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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' 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.
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.
-
Chapters
-
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: Graphical, Numerical, and Symbolic Solutions
-
Chapter 4. Logistic Model, Partial Fractions, Least Squares
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Chapter 5. Physical Applications of Integration
-
Chapter 6. The Hyperbolic Functions
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Chapter 7. Numerical Integration
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Chapter 8. Parametric Equations and Polar Coordinates
-
Chapter 9. Improper Integrals, L’Hôpital’s Rule, and Probability
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Chapter 10. Infinite Series (Part I)
-
Chapter 11. Infinite Series (Part II)
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... 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 Reviews
