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, LaHAapitalas rule and improper integrals, continuous probability models, and infinite series. Each chapter concludes with several aExplorations, a extended discovery investigations to supplement that chapteras 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 connection between differentiable functions and continuous functions ( differentiable functions are continuous) is presented both ... as well as the chain rule for differentiating composite functions and the implicit differentiation technique. ... Students learn to translate appropriate word problems into differential equations.
|Author||:||Michael E. Boardman, Roger B. Nelsen|
|Publisher||:||The Mathematical Association of America - 2015-03-03|