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Author: Daniel Ashlock
Publisher:
Published: 2019-08
Total Pages: 484
ISBN-13: 9781080816118
DOWNLOAD EBOOK →This text introduces single variable calculus and selected topics in multivariate calculus from an applied perspective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five years of testing and evaluation.
Author: Daniel Ashlock
Publisher:
Published: 2018-07-26
Total Pages: 484
ISBN-13: 9781724411945
DOWNLOAD EBOOK →This text introduces single variable calculus and selected topics in multivariate calculus from an applied perspective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five years of testing and evaluation.
Author: Daniel Ashlock
Publisher:
Published: 2017-08-14
Total Pages: 482
ISBN-13: 9781973713746
DOWNLOAD EBOOK →This text introduces single variable calculus and selected topics in multivariate calculus from an applied perspective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five years of testing and evaluation.
Author: Daniel Ashlock
Publisher:
Published: 2016-12-19
Total Pages: 470
ISBN-13: 9781540651914
DOWNLOAD EBOOK →This text introduces single variable calculus and selected topics in multivariate calculus from an applied prospective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five yers of testing and evaluation.
Author: Daniel Ashlock
Publisher: Springer Nature
Published: 2022-06-01
Total Pages: 179
ISBN-13: 3031024222
DOWNLOAD EBOOK →This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.
Author: Daniel Ashlock
Publisher: Springer Nature
Published: 2022-05-31
Total Pages: 198
ISBN-13: 3031024214
DOWNLOAD EBOOK →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.
Author: Daniel Ashlock
Publisher: Springer Nature
Published: 2022-06-01
Total Pages: 222
ISBN-13: 3031024206
DOWNLOAD EBOOK →This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.
Author: Michael Spivak
Publisher:
Published: 2010
Total Pages: 733
ISBN-13: 9780914098324
DOWNLOAD EBOOK →Author: Daniel Ashlock
Publisher: Synthesis Lectures on Mathemat
Published: 2019-09-26
Total Pages: 193
ISBN-13: 9781681736587
DOWNLOAD EBOOK →This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.
Author: Daniel J. Velleman
Publisher: Courier Dover Publications
Published: 2017-01-18
Total Pages: 737
ISBN-13: 0486809366
DOWNLOAD EBOOK →Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.
