The Humongous Book of Calculus Problems

Front Cover
Penguin, Nov 7, 2013 - Mathematics - 576 pages

Now students have nothing to fear!

Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.

--Includes 1,000 problems with comprehensive solutions

--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps

--Kelley is a former award-winning calculus teacher

 

Selected pages

Contents

Linear Equations and Inequalities 1
1
Polynomials 15
15
Rational Expressions 27
27
Functions 41
41
Logarithmic and Exponential Functions 57
57
Conic Sections 69
69
Fundamentals of Trigonometry 91
91
Trigonometric Graphs Identities and Equations 105
105
Applications of the Fundamental Theorem 319
319
Integrating Rational Expressions 343
343
Advanced Integration Techniques 363
363
CrossSectional and Rotational Volume 389
389
Advanced Applications of Definite Integrals 423
423
Parametric and Polar Equations 443
443
Differential Equations 467
467
Basic Sequences and Series 495
495

Investigating Limits 123
123
Evaluating Limits 137
137
Continuity and the Difference Quotient 151
151
Basic Differentiation Methods 169
169
Derivatives and Function Graphs 187
187
Basic Applications of Differentiation 205
205
Advanced Applications of Differentiation 223
223
Additional Differentiation Techniques 247
247
Approximating Area 269
269
Integration 297
297
Additional Infinite Series Convergence Tests 511
511
Advanced Infinite Series 529
529
Impo rtant Graphs to memorize and Graph Transformations 545
545
The Unit Circle 551
551
Trigonometric Identities 553
553
Derivative Fo rmulas 555
555
AntiDerivative Formulas 557
557
Index 559
559
Copyright

Other editions - View all

The Humongous Book of Calculus Problems
W. Michael Kelley
No preview available - 2007

Common terms and phrases

According to Problem alternating series test antiderivative Apply approximate boundary chain rule Chapter coefficient constant coordinate critical numbers curve decimal places defined definite integral described in Problem Determine the convergence differential equation Differentiate with respect diverges ellipse endpoints equal Evaluate exponent exponential factor formula from Problem fraction function f(x function values graph off(x horizontal hyperbola Identify illustrated by Figure inequality infinite integrand Integrate the expression intermediate value theorem interval inverse function L’Hôpital’s rule length limits of integration mean value theorem multiply negative Note numerator and denominator parabola parametric equations plug point-slope formula polar polynomial positive power rule power series quadratic quotient rule radius real number rectangles refer region bounded Rewrite Riemann sum rotation series converges side sign graph sin2 solid solution Solve the equation standard form subtract tangent line there’s trapezoidal trig trigonometric value theorem variable substitution x-axis x-interval x-value y-axis

About the author (2013)

W. Michael Kelley is a former award-winning calculus teacher and has written a bunch of books about math, including The Humongous Book math series and several titles in The Complete Idiot's Guide series. Mr. Kelley is praised for his ability to make intimidating math topics very approachable, even humorous. His dedication to helping students and adults alike conquer their fear of numbers is exemplified by the many honors he has received throughout his career, including an award from the Maryland Council of Teachers of Mathematics recognizing him as an Outstanding High School Mathematics Teacher and "Most Popular Teacher" in his home school. Mr. Kelley is also the founder and editor of calculus-help.com, which helps thousands of students every month conquer their math anxiety.

Bibliographic information

TitleThe Humongous Book of Calculus Problems
Humongous Books
AuthorW. Michael Kelley
PublisherPenguin, 2013
ISBN1615646973, 9781615646975
Length576 pages
Subjects › 

Mathematics / Calculus
Mathematics / Reference
Study Aids / Study Guides
  
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