Welcome to the permanent home page for Section ES31 of MATH-2080 (Calculus 3) at Southeast Community College in the Spring term of 2020. I am Toby Bartels, the instructor.

Here is material about the administration of the course:

Information to contact me:

Reading homework

The official textbook for the course is the 4th Edition of University Calculus: Early Transcendentals by Hass et al published by Addison Wesley (Pearson). There is also a packet of course notes (DjVu):
  1. General review:
  2. Parametrized curves:
  3. Integrating parametrized curves:
  4. Arclength:
  5. Functions of several variables:
  6. Topology in several variables:
  7. Limits in several variables:
  8. Vector fields:
  9. Linear differential forms:
  10. Differentials:
  11. Partial derivatives:
  12. Levels of differentiability:
  13. Directional derivatives:
  14. Gradient vector fields:
  15. Matrices:
  16. The Chain Rule:
  17. Tangent flats and normal lines:
  18. Linearization:
  19. Local optimization:
  20. Constrained optimization:
  21. Lagrange multipliers:
  22. Integration on curves:
  23. Integrating vector fields:
  24. Integrating scalar fields:
  25. Double integrals on rectangles:
  26. Double integrals:
  27. Systems of inequalities:
  28. Triple integrals:
  29. Areas, volumes, and averages:
  30. The area element:
  31. Coordinate transformations:
  32. Polar coordinates:
  33. Integration in polar coordinates:
  34. Parametrized surfaces:
  35. Integrals along surfaces:
  36. Integrals across surfaces:
  37. Integrals on surfaces:
  38. Moments:
  39. Conservative vector fields and exact differential forms:
  40. Exterior differentials:
  41. Green's Theorem:
  42. Stokes's Theorem:
  43. Gauss's Theorem:
That's it!
This web page and the files linked from it were written by Toby Bartels, last edited on 2020 May 15. Toby reserves no legal rights to them.

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