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CITATION

Mendelson, Elliott. McGraw-Hill's 500 College Calculus Questions to Know by Test Day. US: McGraw-Hill, 2012.

McGraw-Hill's 500 College Calculus Questions to Know by Test Day

Authors: Elliott Mendelson

Published:  August 2012

eISBN: 9780071789646 0071789642 | ISBN: 9780071789639
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  • Contents
  • Introduction
  • Chapter 1 Inequalities
  • Questions 1–8
  • Chapter 2 Absolute Value
  • Questions 9–15
  • Chapter 3 Lines
  • Questions 16–32
  • Chapter 4 Circles
  • Questions 33–38
  • Chapter 5 Functions and Their Graphs
  • Questions 39–45
  • Chapter 6 Limits
  • Questions 46–55
  • Chapter 7 Continuity
  • Questions 56–63
  • Chapter 8 The Derivative
  • Questions 64–73
  • Chapter 9 The Chain Rule
  • Questions 74–84
  • Chapter 10 Trigonometric Functions and Their Derivatives
  • Questions 85–103
  • Chapter 11 Rolle’s Theorem, the Mean Value Theorem, and the Sign of the Derivative
  • Questions 104–113
  • Chapter 12 Higher-Order Derivatives and Implicit Differentiation
  • Questions 114–119
  • Chapter 13 Maxima and Minima
  • Questions 120–126
  • Chapter 14 Related Rates
  • Questions 127–133
  • Chapter 15 Curve Sketching (Graphs)
  • Questions 134–147
  • Chapter 16 Applied Maximum and Minimum Problems
  • Questions 148–153
  • Chapter 17 Rectilinear Motion
  • Questions 154–161
  • Chapter 18 Approximation by Differentials
  • Questions 162–167
  • Chapter 19 Antiderivatives (Indefinite Integrals)
  • Questions 168–174
  • Chapter 20 The Definite Integral and the Fundamental Theorem of Calculus
  • Questions 175–189
  • Chapter 21 Area and Arc Length
  • Questions 190–195
  • Chapter 22 Volume
  • Questions 196–203
  • Chapter 23 The Natural Logarithm
  • Questions 204–213
  • Chapter 24 Exponential Functions
  • Questions 214–230
  • Chapter 25 L’Hôpital’s Rule
  • Questions 231–240
  • Chapter 26 Exponential Growth and Decay
  • Questions 241–246
  • Chapter 27 Inverse Trigonometric Functions
  • Questions 247–254
  • Chapter 28 Integration by Parts
  • Questions 255–261
  • Chapter 29 Trigonometric Integrands and Substitutions
  • Questions 262–269
  • Chapter 30 Integration of Rational Functions: The Method of Partial Fractions
  • Questions 270–276
  • Chapter 31 Integrals for Surface Area, Work, Centroids
  • Questions 277–283
  • Chapter 32 Improper Integrals
  • Questions 284–295
  • Chapter 33 Planar Vectors
  • Questions 296–303
  • Chapter 34 Parametric Equations, Vector Functions, Curvilinear Motion
  • Questions 304–313
  • Chapter 35 Polar Coordinates
  • Questions 314–323
  • Chapter 36 Infinite Sequences
  • Questions 324–334
  • Chapter 37 Infinite Series
  • Questions 335–360
  • Chapter 38 Power Series
  • Questions 361–380
  • Chapter 39 Taylor and Maclaurin Series
  • Questions 381–389
  • Chapter 40 Vectors in Space; Lines and Planes
  • Questions 390–415
  • Chapter 41 Functions of Several Variables
  • Questions 416–422
  • Chapter 42 Partial Derivatives
  • Questions 423–446
  • Chapter 43 Directional Derivatives and the Gradient; Extreme Values
  • Questions 447–461
  • Chapter 44 Multiple Integrals and Their Applications
  • Questions 462–474
  • Chapter 45 Vector Functions in Space; Divergence and Curl; Line Integrals
  • Questions 475–500
  • Answers