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Calculus with Multiple Variables Essential Skills Workbook: Includes Vector Calculus and Full Solutions
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 derivatives, extreme values with multiple variables (including saddle points), vectors, vector analysis (such as the dot and cross products), vector calculus, the gradient, divergence, the curl, the main coordinate systems (Cartesian, 2D polar, spherical, and cylindrical), path integrals, surface integrals, volume integrals, flux integrals, center of mass, moment of inertia, tangent and normal vectors, and more. The author, Chris McMullen, PhD, 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.
- GenresMathematicsCalculus
173 pages, Paperback
Published June 29, 2021
3 people are currently reading
961 people want to read
About the author
Chris McMullen
181 books323 followersDr. Chris McMullen has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana. Dr. McMullen is also an author of math and science books. Whether in the classroom or as a writer, Dr. McMullen loves sharing knowledge and the art of motivating and engaging students.
Chris McMullen earned his Ph.D. in phenomenological high-energy physics (particle physics) from Oklahoma State University in 2002. Originally from California, Dr. McMullen earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance.
Dr. McMullen is well-known for:
• engaging students in challenging ideas through creativity
• breaking difficult problems down into manageable steps
• providing clear and convincing explanations to subtle issues
• his mastery of physics and strong background in mathematics
• helping students become more fluent in practical math skills
As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published a series of math workbooks on arithmetic, fractions, algebra, geometry, trigonometry, and calculus called the Improve Your Math Fluency Series. Dr. McMullen has also published a variety of science books, including introductions to basic astronomy and chemistry concepts in addition to physics workbooks.
Dr. McMullen is very passionate about teaching. Many students and observers have been impressed with the transformation that occurs when he walks into the classroom, and the interactive engaged discussions that he leads during class time. Dr. McMullen is well-known for drawing monkeys and using them in his physics examples and problems, using his creativity to inspire students. A stressed-out student is likely to be told to throw some bananas at monkeys, smile, and think happy physics thoughts.
Dr. McMullen first published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. Dr. McMullen has coauthored a half-dozen articles on current and future collider searches for large extra dimensions.
In addition to writing and teaching, Dr. McMullen enjoys Scrabble, golf, and chess.
Chris McMullen earned his Ph.D. in phenomenological high-energy physics (particle physics) from Oklahoma State University in 2002. Originally from California, Dr. McMullen earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance.
Dr. McMullen is well-known for:
• engaging students in challenging ideas through creativity
• breaking difficult problems down into manageable steps
• providing clear and convincing explanations to subtle issues
• his mastery of physics and strong background in mathematics
• helping students become more fluent in practical math skills
As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published a series of math workbooks on arithmetic, fractions, algebra, geometry, trigonometry, and calculus called the Improve Your Math Fluency Series. Dr. McMullen has also published a variety of science books, including introductions to basic astronomy and chemistry concepts in addition to physics workbooks.
Dr. McMullen is very passionate about teaching. Many students and observers have been impressed with the transformation that occurs when he walks into the classroom, and the interactive engaged discussions that he leads during class time. Dr. McMullen is well-known for drawing monkeys and using them in his physics examples and problems, using his creativity to inspire students. A stressed-out student is likely to be told to throw some bananas at monkeys, smile, and think happy physics thoughts.
Dr. McMullen first published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. Dr. McMullen has coauthored a half-dozen articles on current and future collider searches for large extra dimensions.
In addition to writing and teaching, Dr. McMullen enjoys Scrabble, golf, and chess.
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Displaying 1 - 3 of 3 reviews
August 1, 2021
I won a copy of Calculus with Multiple Variables Essential Skills Workbook by Chris McMullen, Ph.D. from Goodreads.
Calculus with Multiple Variables Essential Skills Workbook by Chris McMullen is an excellent advanced calculus workbook for anyone interested in advanced calculus or actually taking advanced calculus in school, and a superb refresher for anyone who desires to practice calculus. Each chapter covers a different area of advanced calculus, and solutions with explanations are provided in the back of the book. This workbook is perfect for older adults seeking to challenge themselves and to keep their minds limber. I am now interested in the author's more basic workbooks in various subjects.
Sharpen your pencils and calculate!
Calculus with Multiple Variables Essential Skills Workbook by Chris McMullen is an excellent advanced calculus workbook for anyone interested in advanced calculus or actually taking advanced calculus in school, and a superb refresher for anyone who desires to practice calculus. Each chapter covers a different area of advanced calculus, and solutions with explanations are provided in the back of the book. This workbook is perfect for older adults seeking to challenge themselves and to keep their minds limber. I am now interested in the author's more basic workbooks in various subjects.
Sharpen your pencils and calculate!
September 8, 2022
Good multivariable review book for engineers. Touched upon every major idea presented in a typical undergraduate multivariable course, with a decent amount of examples. Explanations could have been clearer, but for such a short book the author made decent use of the limited pages.
November 12, 2021
Great book for my son.
Displaying 1 - 3 of 3 reviews