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For students who are already fluent with single-variable derivatives and integrals, this workbook offers practice with essential skills from multivariable calculus (including vector calculus). Each chapter begins with a review of the essential ideas and includes fully solved examples to help serve as a guide. The full solution to every exercise can be found at the back of the book. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers:partial derivativesextreme values with multiple variables (including saddle points)vectors, vector analysis (such as the dot and cross products), and vector calculusthe gradient, divergence, and curlthe main coordinate systems: Cartesian, 2D polar, spherical, and cylindricalpath integrals, surface integrals, and volume integralsflux integrals, center of mass, and moment of inertiatangent and normal vectorsand moreThe author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving calculus problems with multiple variables or vectors.

From the Publisher

Calculus with Multiple Variables

Chris McMullen, Ph.D.

Includes vector calculus and full solutions.

Learn the essentials of multivariable calculus and vector calculus.

Each chapter begins with a concise review of the pertinent concepts and math.Fully solved examples help to serve as a guide.Practice exercises help to build fluency. Check your answers.

The full solution to every problem is included at the back of the book.

Topics include: partial derivatives, the chain rule, and extreme values vectors, dot product, cross product Cartesian, polar, spherical, and cylindrical coordinates the gradient, divergence, and curl in different coordinate systems normal and tangent vectors line integrals, surface integrals, and volume integrals center of mass and moment of inertia vector calculus

Improve Your Math Fluency

Chris McMullen, Ph.D.

Learn math from a university instructor with over 20 years of teaching experience.

Build Essential Math Skills

Practice solving problems that build essential math skills.Check your answers at the back of the book to ensure that practice makes perfect. Develop Confidence

When you check your answer at the back of the book and discover that your solution is correct, this helps to build confidence.Fully solved examples and concise explanations help get you on the right path.

Find the subject that’s right for you. Arithmetic Prealgebra Algebra Geometry Trigonometry Logarithms Calculus & Vector Calculus Differential Equations

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$22.77$22.77 $11.99$11.99 $12.34$12.34 $12.64$12.64 $11.99$11.99 $15.99$15.99

Number of Pages
484 125 157 151 112 287

Answer Key
Hints and answers to every problem. Answers + some hints, solutions, and tips. Answers + extensive notes Full solutions to every problem. Full solutions to every problem. Full solutions.

ISBN
1941691153 1941691382 1941691390 1941691242 1941691269 B0D3D6Z1YW

Description
Physics with calculus, Volume 1 (Motion, including Newton’s laws, work/energy, momentum, collisions, rotation, center of mass, moment of inertia, and more) Comprehensive coverage of trig identities. Learn how to solve a variety of differential equations. Build fluency by practicing essential calculus skills. Not just for the Einsteins of the world, anyone fluent with calculus can challenge their skills. Learn about probability from counting techniques to probability distributions.

Publisher ‏ : ‎ Zishka Publishing (June 29, 2021)
Language ‏ : ‎ English
Paperback ‏ : ‎ 173 pages
ISBN-10 ‏ : ‎ 1941691374
ISBN-13 ‏ : ‎ 978-1941691373
Item Weight ‏ : ‎ 15.2 ounces
Dimensions ‏ : ‎ 8 x 0.39 x 10 inches