Your light-hearted, practical approach to conqueringcalculus
Does the thought of calculus give you a coronary? You aren’talone. Thankfully, this new edition of Calculus Workbook For Dummies makes it infinitely easier. Focusing ‘beyond theclassroom, ‘ it contains calculus exercises you can work on thatwill help to increase your confidence and improve your skills. Thishands-on, friendly guide gives you hundreds of practice problems onlimits, vectors, continuity, differentiation, integration, curve-sketching, conic sections, natural logarithms, and infiniteseries.
Calculus is a gateway and potential stumbling block for studentsinterested in pursuing a career in math, science, engineering, finance, and technology. Calculus students, along with mathstudents in nearly all disciplines, benefit greatly fromopportunities to practice different types of problems–in theclassroom and out. Calculus Workbook For Dummies takes youstep-by-step through each concept, operation, and solution, explaining the ‘how’ and ‘why’ in plain English, rather thanmath-speak. Through relevant instruction and practical examples, you’ll soon learn that real-life calculus isn’t nearly the monsterit’s made out to be.
* Master differentiation and integration
* Use the calculus microscope: limits
* Analyze common functions
* Score your highest in calculus
Complete with tips for problem-solving and traps to avoid, Calculus Workbook For Dummies is your sure-fire weapon forconquering calculus!
สารบัญ
Introduction 1
Part I: Pre?]Calculus Review 5
Chapter 1: Getting Down to Basics: Algebra and Geometry 7
Chapter 2: Funky Functions and Tricky Trig 25
Part II: Limits and Continuity 41
Chapter 3: A Graph Is Worth a Thousand Words: Limits and Continuity 43
Chapter 4: Nitty?]Gritty Limit Problems 53
Part III: Differentiation 79
Chapter 5: Getting the Big Picture: Differentiation Basics 81
Chapter 6: Rules, Rules, Rules: The Differentiation Handbook 91
Chapter 7: Analyzing Those Shapely Curves with the Derivative 119
Chapter 8: Using Differentiation to Solve Practical Problems 151
Chapter 9: Even More Practical Applications of Differentiation 179
Part IV: Integration and Infinite Series 197
Chapter 10: Getting into Integration 199
Chapter 11: Integration: Reverse Differentiation 219
Chapter 12: Integration Rules for Calculus Connoisseurs 235
Chapter 13: Who Needs Freud? Using the Integral to Solve Your Problems 261
Chapter 14: Infinite (Sort of) Integrals 281
Chapter 15: Infinite Series: Welcome to the Outer Limits 291
Part V: The Part of Tens 313
Chapter 16: Ten Things about Limits, Continuity, and Infinite Series 315
Chapter 17: Ten Things You Better Remember about Differentiation 319
Index 323
เกี่ยวกับผู้แต่ง
Mark Ryan has taught pre-algebra through calculus for more than 25 years. In 1997, he founded The Math Center in Winnetka, Illinois, where he teaches classes and tutors students in all levels of mathematics.
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