MAT 2500 Calculus III (for science and engineering)

Textbook:
James Stewart: Multivariable Calculus, 4th Edition: (1999) [ISBN: 0-534-35948-5]

Maple worksheets corresponding to examples in Stewart's textbook

Chapters 12-16 (Vectors, Vector Functions, Partial Derivatives, Multiple Integrals, Vector Calculus)

• 12. VECTORS AND THE GEOMETRY OF SPACE
  • 12.0. [Getting Started in Multivariable Calculus]
  • 12.1. Three Dimensional Coordinate Systems
  • 12.2 Vectors
  • 12.3 The Dot Product
  • 12.4 The Cross Product
  • 12.5 Equations of Lines and Planes
  • 12.6 Functions and Surfaces
  • 12.7 Cylindrical and Spherical Coordinates
• 13. VECTOR FUNCTIONS
  • 13.1 Vector Functions and Space Curves
  • 13.2 Derivatives and Integrals of Vector Functions
  • 13.3 Arc Length and Curvature
  • 13.4 Motion in Space
  • 13.5 Parametric Surfaces
• 14. PARTIAL DERIVATIVES
  • 14.1 Functions of Several Variables
  • 14.2 Limits and Continuity
  • 14.3 Partial Derivatives
  • 14.4 Tangent Planes and Linear Approximations
  • 14.5 The Chain Rule
  • 14.6 Directional Derivatives and the Gradient Vector
  • 14.7 Maximum and Minimum Values
  • 14.8 Lagrange Multipliers
• 15. MULTIPLE INTEGRALS
  • 15.1 Double Integrals over Rectangles
  • 15.2 Integrated Integrals
  • 15.3 Double Integrals over General Regions
  • 15.4 Double Integrals in Polar Coordinates
  • 15.5 Applications of Double Integrals
  • 15.6 Surface Area
  • 15.7 Triple Integrals
  • 15.8 Triple Integrals in Cylindrical and Spherical Coordinates
  • 15.9 Change of Variables in Multiple Integrals
• 16. VECTOR CALCULUS
  • 16.1 Vector Fields
  • 16.2 Line Integrals
  • 16.3 The Fundamental Theorem for Line Integrals
  • 16.4 Green's Theorem
  • 16.5 Curl and Divergence
  • 16.6 Parametric Surfaces and their Areas
  • 16.7 Surface Integrals
  • 16.8 Stokes' Theorem
  • 16.9 The Divergence Theorem
  • 16.10 Summary

MAPLE Supplementary Text:
A. Belmonte and P. Yasskin, CalcLabs with MAPLE for Stewart's Multivariable Calculus: Concepts and Contexts (1998) [ISBN: 0-534-35739-3]

Also available (ask your instructor):

• Student Solution Manual (all odd problems worked) [ISBN: ??]
• Student Study Guide (more examples, key points) [ISBN: ??]

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