Fast Start Integral Calculus

Fast Start Integral Calculus PDF

Author: Daniel Ashlock

Publisher: Springer Nature

Published: 2022-05-31

Total Pages: 198

ISBN-13: 3031024214

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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.

Fast Start Differential Calculus

Fast Start Differential Calculus PDF

Author: Daniel Ashlock

Publisher: Morgan & Claypool Publishers

Published: 2019-09-16

Total Pages: 238

ISBN-13: 168173642X

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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.

Fast Start Advanced Calculus

Fast Start Advanced Calculus PDF

Author: Daniel Ashlock

Publisher: Springer Nature

Published: 2022-06-01

Total Pages: 179

ISBN-13: 3031024222

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This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.

Fast Start Advanced Calculus

Fast Start Advanced Calculus PDF

Author: Daniel Ashlock

Publisher: Morgan & Claypool Publishers

Published: 2019-09-26

Total Pages: 195

ISBN-13: 1681736578

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This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.

Fast Start Differential Calculus

Fast Start Differential Calculus PDF

Author: Daniel Ashlock

Publisher: Springer Nature

Published: 2022-06-01

Total Pages: 222

ISBN-13: 3031024206

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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.

Fast Start Calculus for Integrated Physics 3rd Edition

Fast Start Calculus for Integrated Physics 3rd Edition PDF

Author: Daniel Ashlock

Publisher:

Published: 2018-07-26

Total Pages: 484

ISBN-13: 9781724411945

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This text introduces single variable calculus and selected topics in multivariate calculus from an applied perspective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five years of testing and evaluation.

Fast Start Calculus for Integrated Physics 4th Edition

Fast Start Calculus for Integrated Physics 4th Edition PDF

Author: Daniel Ashlock

Publisher:

Published: 2019-08

Total Pages: 484

ISBN-13: 9781080816118

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This text introduces single variable calculus and selected topics in multivariate calculus from an applied perspective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five years of testing and evaluation.

Ultralearning

Ultralearning PDF

Author: Scott Young

Publisher: HarperCollins

Published: 2019-08-06

Total Pages: 304

ISBN-13: 0062852744

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Now a Wall Street Journal bestseller. Learn a new talent, stay relevant, reinvent yourself, and adapt to whatever the workplace throws your way. Ultralearning offers nine principles to master hard skills quickly. This is the essential guide to future-proof your career and maximize your competitive advantage through self-education. In these tumultuous times of economic and technological change, staying ahead depends on continual self-education—a lifelong mastery of fresh ideas, subjects, and skills. If you want to accomplish more and stand apart from everyone else, you need to become an ultralearner. The challenge of learning new skills is that you think you already know how best to learn, as you did as a student, so you rerun old routines and old ways of solving problems. To counter that, Ultralearning offers powerful strategies to break you out of those mental ruts and introduces new training methods to help you push through to higher levels of retention. Scott H. Young incorporates the latest research about the most effective learning methods and the stories of other ultralearners like himself—among them Benjamin Franklin, chess grandmaster Judit Polgár, and Nobel laureate physicist Richard Feynman, as well as a host of others, such as little-known modern polymath Nigel Richards, who won the French World Scrabble Championship—without knowing French. Young documents the methods he and others have used to acquire knowledge and shows that, far from being an obscure skill limited to aggressive autodidacts, ultralearning is a powerful tool anyone can use to improve their career, studies, and life. Ultralearning explores this fascinating subculture, shares a proven framework for a successful ultralearning project, and offers insights into how you can organize and exe - cute a plan to learn anything deeply and quickly, without teachers or budget-busting tuition costs. Whether the goal is to be fluent in a language (or ten languages), earn the equivalent of a college degree in a fraction of the time, or master multiple tools to build a product or business from the ground up, the principles in Ultralearning will guide you to success.

Linear Algebra with Applications (Classic Version)

Linear Algebra with Applications (Classic Version) PDF

Author: Otto Bretscher

Publisher: Pearson

Published: 2018-03-15

Total Pages: 508

ISBN-13: 9780135162972

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This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Exercise sets are broad and varied and reflect the author's creativity and passion for this course. This revision reflects careful review and appropriate edits throughout, while preserving the order of topics of the previous edition.