Solutions Manual to accompany Vector Calculus 5th edition 9780716749929

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Product details:

• ISBN-10 ‏ : ‎ 0716749920
• ISBN-13 ‏ : ‎ 978-0716749929
• Author: Jerrold E. Marsden; Anthony Tromba

Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book’s careful account is a contemporary balance between theory, application, and historical development, providing it’s readers with an insight into how mathematics progresses and is in turn influenced by the natural world.

Table of contents:

• Chapter 1: Functions and Models
  • 1.1 Four Ways to Represent a Function (21)
  • 1.2 Mathematical Models: A Catalog of Essential Functions (6)
  • 1.3 New Functions from Old Functions (17)
  • 1.4 Graphing Calculators and Computers (7)
• Chapter 2: Limits and Rates of Change
  • 2.1 The Tangent and Velocity Problems (4)
  • 2.2 The Limit of a Function (11)
  • 2.3 Calculating Limits Using the Limit Laws (19)
  • 2.4 The Precise Definition of a Limit (5)
  • 2.5 Continuity (8)
  • 2.6 Tangents, Velocities, and Other Rates of Change (10)
• Chapter 3: Derivatives
  • 3.1 Derivatives (13)
  • 3.2 The Dericative as a Function (10)
  • 3.3 Differentiation Formulas (35)
  • 3.4 Rates of Change in the Natural and Social Sciences (10)
  • 3.5 Derivatives of Trigonometric Functions (21)
  • 3.6 The Chain Rule (33)
  • 3.7 Implicit Differentiation (20)
  • 3.8 Higher Derivatives (25)
  • 3.9 Related Rates (21)
  • 3.10 Linear Approximations and Differentials (17)
• Chapter 4: Applications of Differentiation
  • 4.1 Maximum and Minimum Values (24)
  • 4.2 The Mean Value Theorem (3)
  • 4.3 How Derivatives Affect the Shape of a Graph (18)
  • 4.4 Limits at Infinity; Horizontal Asymptotes (21)
  • 4.5 Summary of Curve Sketching (2)
  • 4.6 Graphing with Calculus and Calculators (2)
  • 4.7 Optimization Problems (27)
  • 4.8 Applications to Business and Economics (9)
  • 4.9 Newton’s Method (14)
  • 4.10 Antiderivatives (30)
• Chapter 5: Integrals
  • 5.1 Areas and Distances (8)
  • 5.2 The Definite Integral (21)
  • 5.3 The Fundamental Theorem of Calculus (31)
  • 5.4 Indefinite Integrals and the Net Change Theorem (8)
  • 5.5 The Substitution Rule (35)
• Chapter 6: Applications of Integration
  • 6.1 Areas between Curves (18)
  • 6.2 Volumes (30)
  • 6.3 Volumes by Cylindrical Shells (19)
  • 6.4 Work (13)
  • 6.5 Average Value of a Function (10)
• Chapter 7: Inverse Functions
  • 7.1 Inverse Functions (10)
  • 7.2 Exponential Functions and Their Derivatives (8)
  • 7.3 Logarithmic Functions (10)
  • 7.4 Derivatives of Logarithmic Functions (8)
  • 7.5 Inverse Trigonometric Functions
  • 7.6 Hyperbolic Functions
  • 7.7 Indeterminate Forms and L’Hospital’s Rule (15)
• Chapter 8: Techniques of Integration
  • 8.1 Integration by Parts (21)
  • 8.2 Trigonometric Integrals (15)
  • 8.3 Trignonometric Substitution (6)
  • 8.4 Integration of Rational Functions by Partial Fractions (10)
  • 8.5 Strategy for Integration (11)
  • 8.6 Integration Using Tables and Computer Algebra Systems (6)
  • 8.7 Approximate Integration (10)
  • 8.8 Improper Integrals (13)
• Chapter 9: Further Applications of Integration
  • 9.1 Arc Length (3)
  • 9.2 Area of a Surface of Revolution
  • 9.3 Applications to Physics and Engineering (3)
  • 9.4 Applications to Economics and Biology (3)
  • 9.5 Probability (2)
• Chapter 10: Differential Equations
  • 10.1 Modeling with Differential Equations (3)
  • 10.2 Direction Fields and Euler’s Method (4)
  • 10.3 Separable Equations (6)
  • 10.4 Exponential Growth and Decay (3)
  • 10.5 The Logistic Equation (2)
  • 10.6 Linear Equations
  • 10.7 Predator-Prey Systems (1)

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