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MATH 2E: Multivariable Calculus

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MATH 2E: Multivariable Calculus

The differential and integral calculus of vector-valued functions. Implicit and inverse function theorems. Line and surface integrals, divergence and curl, theorems of Greens, Gauss, and Stokes.

Mathematics
Publisher
LibreTexts
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 34 sections
  1. Chapter 14: Multiple Integration
  2. 14.1: Iterated Integrals and Area
  3. 14.1E: Iterated Integrals and Area (Exercises)
  4. 14.2a: Double Integrals Over Rectangular Regions
  5. 14.2aE: Double Integrals Part 1 (Exercises)
  6. 14.2b: Double Integrals Over General Regions
  7. 14.2bE: Double Integrals Part 2 (Exercises)
  8. 14.3: Double Integration with Polar Coordinates
  9. 14.3b: Double Integrals in Polar Coordinates
  10. 14.3E: Double Integrals in Polar Coordinates (Exercises)
  11. 14.4: Triple Integrals
  12. 14.4E: Triple Integrals (Exercises 2)
  13. 14.4E: Triple Integrals (Exercises)
  14. 14.5: Triple Integrals in Cylindrical and Spherical Coordinates
  15. 14.6: Calculating Centers of Mass and Moments of Inertia
  16. 14.7: Change of Variables in Multiple Integrals (Jacobians)
  17. Chapter 14 Review Exercises
  18. Chapter 15: Vector Fields Line Integrals and Vector Theorems
  19. 15.0: Introduction to Vector Field Chapter
  20. 15.1: Vector Fields
  21. 15.1E: Vector Fields (Exercises)
  22. 15.2: Line Integrals
  23. 15.2: Line Integrals - Part 2
  24. 15.2E: Line Integrals (Exercises)
  25. 15.3: Conservative Vector Fields
  26. 15.3E: Conservative Vector Fields (Exercises)
  27. 15.4: Green's Theorem
  28. 15.4E: Green's Theorem (Exercises)
  29. 15.5: Divergence and Curl
  30. 15.5E: Divergence and Curl (Exercises)
  31. 15.6: Surface Integrals
  32. 15.7: Stokes' Theorem
  33. 15.8: The Divergence Theorem
  34. Chapter 15 Review Exercises