Fast Start Integral Calculus (Synthesis Lectures on Mathematics and Statistics) - Softcover

Ashlock, Daniel

Softcover

ISBN 10: 1681736500 ISBN 13: 9781681736501

Publisher: Morgan & Claypool Publishers, 2019

Synopsis

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums.

It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.

About this title

About the Author

Daniel Ashlock is a Professor of Mathematics at the University of Guelph. He has a Ph.D. in Mathematics from the California Institute of Technology, 1990, and holds degrees in Computer Science and Mathematics from the University of Kansas, 1984. Dr. Ashlock has taught mathematics at levels from 7th grade through graduate school for four decades, starting at the age of 17. Over this time Dr. Ashlock has developed a number of ideas about how to help students overcome both fear and deficient preparation. This text, covering the mathematics portion of an integrated mathematics and physics course, has proven to be one of the more effective methods of helping students learn mathematics with physics serving as an ongoing anchor and example.

Washington University, St. Louis

Edition details

• Publisher: Morgan & Claypool Publishers
• Publication date: 2019
• Language: English
• ISBN 10: 1681736500
• ISBN 13: 9781681736501
• Binding: Paperback
• Number of pages: 206
• Editor: Krantz Steven G.