Synthesis Lectures on Mathematics & Statistics

Ashlock, Daniel

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.

Details

Published by: Springer

Publication Date: 2019-09-20

Format: Paperback

ISBN-13: 9783031012938

DOI: 10.1007/978-3-031-02421-4

Dimensions: 235cm x191cm

Pages: 191