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  • Calculus essentials for dummies
  • 點閱:16
  • 作者: by Mark Ryan
  • 出版社:John Wiley & Sons, Inc.
  • 出版年:c2019
  • 集叢名:For dummies
  • ISBN:9781119591207; 9781119591221; 9781119591245
  • 格式:EPUB 流式,PDF,JPG
  • 附註:Includes index. "Learning made easy" -- Cover.

Calculus Essentials For Dummies (9781119591207) was previously published as Calculus Essentials For Dummies (9780470618356). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
 
 
 
Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides explanations of key concepts for students who may have taken calculus in high school and want to review the most important concepts as they gear up for a faster-paced college course. Free of review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents who need to review critical calculus concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.

 
The Essentials For Dummies Series
Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.


ABOUT THE AUTHOR

Mark Ryan is the owner of The Math Center in Chicago, Illinois, where he teaches students in all levels of mathematics, from pre-algebra to calculus. He is the author of Calculus For Dummies and Geometry For Dummies.

  • INTRODUCTION(第1頁)
    • About This Book(第1頁)
    • Conventions Used in This Book(第2頁)
    • Foolish Assumptions(第2頁)
    • Icons Used in This Book(第3頁)
    • Where to Go from Here(第3頁)
  • CHAPTER 1 : Calculus : No Big Deal(第5頁)
    • So What Is Calculus Already ?(第5頁)
    • Real-World Examples of Calculus(第7頁)
    • Differentiation(第8頁)
    • Integration(第9頁)
    • Why Calculus Works(第11頁)
  • CHAPTER 2 : Limits and Continuity(第15頁)
    • Taking It to the Limit(第15頁)
    • Limits and Continuity(第21頁)
  • CHAPTER 3 : Evaluating Limits(第25頁)
    • Easy Limits(第25頁)
    • “ Real ” Limit Problems(第26頁)
    • Limits at Infinity(第29頁)
  • CHAPTER 4 : Differentiation Orientation(第33頁)
    • The Derivative : It’s Just Slope(第34頁)
    • The Derivative : It’s Just a Rate(第36頁)
    • The Derivative of a Curve(第39頁)
    • The Difference Quotient(第40頁)
    • Average and Instantaneous Rate(第46頁)
    • Three Cases Where the Derivative Does Not Exist(第47頁)
  • CHAPTER 5 : Differentiation Rules(第49頁)
    • Basic Differentiation Rules(第49頁)
    • Derivative Rules for Experts(第53頁)
    • Differentiating Implicitly(第59頁)
  • CHAPTER 6 : Differentiation and the Shape of Curves(第61頁)
    • A Calculus Road Trip(第61頁)
    • Local Extrema(第63頁)
    • Finding Absolute Extrema on a Closed Interval(第69頁)
    • Finding Absolute Extrema over a Function’s Entire Domain(第71頁)
    • Concavity and Inflection Points(第73頁)
    • Graphs of Derivatives(第75頁)
    • The Mean Value Theorem(第78頁)
  • CHAPTER 7 : Differentiation Problems(第81頁)
    • Optimization Problems(第81頁)
    • Position , Velocity , and Acceleration(第83頁)
    • Acceleration(第89頁)
    • Related Rates(第91頁)
    • Linear Approximation(第97頁)
  • CHAPTER 8 : Introduction to Integration(第101頁)
    • Integration : Just Fancy Addition(第101頁)
    • Finding the Area under a Curve(第103頁)
    • Approximating Area(第105頁)
    • Summation Notation(第112頁)
    • Finding Exact Area with the Definite Integral(第116頁)
  • CHAPTER 9 : Integration : Backwards Differentiation(第119頁)
    • Antidifferentiation : Reverse Differentiation(第119頁)
    • The Annoying Area Function(第121頁)
    • The Fundamental Theorem(第124頁)
    • Fundamental Theorem : Take Two(第126頁)
    • Antiderivatives : Basic Techniques(第128頁)
  • CHAPTER 10 : Integration for Experts(第137頁)
    • Integration by Parts(第137頁)
    • Tricky Trig Integrals(第141頁)
    • Trigonometric Substitution(第147頁)
    • Partial Fractions(第152頁)
  • CHAPTER 11 : Using the Integral to Solve Problems(第157頁)
    • The Mean Value Theorem for Integrals and Average Value(第158頁)
    • The Area between Two Curves(第160頁)
    • Volumes of Weird Solids(第162頁)
    • Arc Length(第168頁)
    • Improper Integrals(第171頁)
  • CHAPTER 12 : Eight Things to Remember(第175頁)
    • a2 - b2 =( a-b )( a+b )(第175頁)
    • 0/5 = 0 But 5/0 Is Undefined(第175頁)
    • SohCahToa(第175頁)
    • Trig Values to Know(第176頁)
    • sin2θ + cos2θ = 1(第176頁)
    • The Product Rule(第176頁)
    • The Quotient Rule(第176頁)
    • Your Sunglasses(第176頁)
  • INDEX(第177頁)
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