Overview

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.

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9781681736433

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Reviews

If like me, you enjoyed both maths, science and technical subjects, and at the same time loved learning the arts subjects especially foreign languages, you would be torn, when it came to choosing which subjects to select for further study, if subject choice came down to either an arts subject or a science subject. On one day of subject choice, my technical / engineering drawing teacher, after my reasonably good marks, said right, McCreadie, you will be taking technical drawing! . He was not best pleased when I told him: no, I would be taking French instead. This also applied to maths, when I eventually had to choose the Arts alternative. Having opted for the Arts choice, I was determined to study these science subjects again, when both the opportunity , and the appropriate means presented themselves, which may seem impossible when family and career take up most of your time. However, now that I have the opportunity and time, I was delighted to discover Morgan and Claypool have published a series of Fast Start guides, including Fast Start Differential Calculus by Daniel Ashlock. In simple to follow steps this book constantly builds up your knowledge in a systematic manner, maintaining interest, yet avoiding an off-putting dry textbook style, which could easily deter the reader. Not only that you can dip into sections at random and find yourself anticipating future delights without being daunted by the prospect. - Michael McCreadie, Dumfriesshire, United Kingdom

If like me, you enjoyed both maths, science and technical subjects, and at the same time loved learning the arts subjects especially foreign languages, you would be torn, when it came to choosing which subjects to select for further study, if subject choice came down to either an arts subject or a science subject. On one day of subject choice, my technical / engineering drawing teacher, after my reasonably good marks, said right, McCreadie, you will be taking technical drawing!. He was not best pleased when I told him: no, I would be taking French instead. This also applied to maths, when I eventually had to choose the Arts alternative. Having opted for the Arts choice, I was determined to study these science subjects again, when both the opportunity, and the appropriate means presented themselves, which may seem impossible when family and career take up most of your time. However, now that I have the opportunity and time, I was delighted to discover Morgan and Claypool have published a series of Fast Start guides, including Fast Start Differential Calculus by Daniel Ashlock. In simple to follow steps this book constantly builds up your knowledge in a systematic manner, maintaining interest, yet avoiding an off-putting dry textbook style, which could easily deter the reader. Not only that you can dip into sections at random and find yourself anticipating future delights without being daunted by the prospect. Michael McCreadie, Dumfriesshire, United Kingdom

Author Information

Daniel Ashlock is a Professor of Mathematics at the University of Guelph. He has a Ph.D. in Mathematics from the California Institute of Technology, 1990, and holds degrees in Computer Science and Mathematics from the University of Kansas, 1984. Dr. Ashlock has taught mathematics at levels from 7th grade through graduate school for four decades, starting at the age of 17. Over this time Dr. Ashlock has developed a number of ideas about how to help students overcome both fear and deficient preparation. This text, covering the mathematics portion of an integrated mathematics and physics course, has proven to be one of the more effective methods of helping students learn mathematics with physics serving as an ongoing anchor and example.

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