MATH-2080-ES31

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 across surfaces:
  36. Integrals on surfaces:
  37. More to come!

This web page and the files linked from it were written by Toby Bartels, last edited on 2020 April 8. Toby reserves no legal rights to them.

The permanent URI of this web page is http://tobybartels.name/MATH-2080/2020SP/.

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