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Calculus II

by Marsden, Jerrold E. A

Calculus II cover
  • ISBN: 9780387909752
  • ISBN10: 0387909753

Calculus II

by Marsden, Jerrold E. A

  • List Price: $54.95
  • Binding: Paperback
  • Edition: 0002
  • Publisher: Springer-Verlag
  • Publish date: 04/01/1985
  • ISBN: 9780387909752
  • ISBN10: 0387909753
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Description: 7 Basic Methods of Integration.- 7.1 Calculating Integrals.- 7.2 Integration by Substitution.- 7.3 Changing Variables in the Definite Integral.- 7.4 Integration by Parts.- 8 Differential Equations.- 8.1 Oscillations.- 8.2 Growth and Decay.- 8.3 The Hyperbolic Functions.- 8.4 The Inverse Hyperbolic Functions.- 8.5 Separable Differential Equations.- 8.6 Linear First-Order Equations.- 9 Applications of Integration.- 9.1 Volumes by the Slice Method.- 9.2 Volumes by the Shell Method.- 9.3 Average Values and the Mean Value Theorem for Integrals.- 9.4 Center of Mass.- 9.5 Energy, Power, and Work.- 10 Further Techniques and Applications of Integration.- 10.1 Trigonometric Integrals.- 10.2 Partial Fractions.- 10.3 Arc Length and Surface Area.- 10.4 Parametric Curves.- 10.5 Length and Area in Polar Coordinates.- 11 Limits, L'Hpital's Rule, and Numerical Methods.- 11.1 Limits of Functions.- 11.2 L'Hpital's Rule.- 11.3 Improper Integrals.- 11.4 Limits of Sequences and Newton's Method.- 11.5 Numerical Integration.- 12 Infinite Series.- 12.1 The Sum of an Infinite Series.- 12.2 The Comparison Test and Alternating Series.- 12.3 The Integral and Ratio Tests.- 12.4 Power Series.- 12.5 Taylor's Formula.- 12.6 Complex Numbers.- 12.7 Second-Order Linear Differential Equations.- 12.8 Series Solutions of Differential Equations.- Answers.
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