![]() ![]() Graphs, level sets, vector fields, limits, continuity, partial derivatives, total derivative, chain rule, gradient, directional derivativeįinal: all from 02/10 and 03/14 exams plus local extrema, paths, arclength, line integrals, double integrals, fundamental theorem for path integrals, Green’s Theorem ![]() (Barr) 3.1-3.2, 3.4-3.6, 4.1-4.2, 4.4-4.5įinal: all from 10/05 and 11/09 exams plus paths, arclength, line integrals, double integrals, triple integrals, surface area, surface integrals, change of variables, fundamental theorem for path integrals, Green’s Theorem, Stokes’s Theorem Vectors, lines, planes, surfaces, parametrizations, coordinate systems, dot and cross products, limits, level curves, differentiationĭirectional derivatives, div, grad, curl, local extrema, optimization Vectors, lines, planes, surfaces, parametrizations, dot and cross products, limits, level curves, differentiation Partial derivatives, local linearity, gradients, directional derivatives, chain rule, second-order partial derivatives, differentiability, critical points, optimizationįunctions of two and three variables, graphs, surfaces, contour diagrams, limits, continuity, vectors, dot productsĬross products, partial derivatives, local linearity, gradients, directional derivatives, chain rule, second-order partial derivatives, differentiabilityįinal: all from 09/27 and 11/01 exams plus critical points, optimization, Lagrange multipliers, double integrals, iterated integrals, parameterized curves, motion, vector fields, line integrals … the presented book is a useful tool for all mathematicians (not only for students) and I find it regrettable that this book was not written when I was a student.” (Andrey Zahariev, zbMATH 1396.Functions of two and three variables, graphs, surfaces, contour diagrams, limits, continuity, vectors, dot products, cross products The proofs are exposited to encourage understanding, not meaningless rigor. “The main achievement of the authors is that they essentially have simplified the teaching of the old topics to make a place for new ones. Every section of each chapter ends with an excellent collection of exercises, which should be graciously welcomed by independent learners and instructors alike.” (Tushar Das, MAA Reviews, September, 2018) The book is written with a wide range of STEM students in mind, and its exposition remains remarkably fluid without scarificing precision. Even instructors who use standard texts will find much of value in this refreshing first edition. “Lax and Terrell’s sequel to their Calculus With Applications presents a first course in multivariable calculus that fits in just over 400 pages. … I think this book can be recommended since, moreover, it is very pedagogical.” (Richard Becker, Mathematical Reviews, October, 2018) … There are more than 200 figures to help the reader to understand the explanations and about 500 problems. “This book belongs to a collection aimed at third- and fourth-year undergraduate mathematics students at North American universities. Upper-division undergraduates and professionals.” (J. The text contains over 500 exercises with answers and/or solutions to half provided at the back of the book, enabling students to gauge their understanding of the content as they proceed. “The presentation of the material is guided by applications so that physics and engineering students will find the text engaging and see the relevance of multivariable calculus to their work. ![]() Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. This text in multivariable calculus fosters comprehension through meaningful explanations.
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