Readings and homework

I will assign readings listed below, which will have associated exercises due in class the next day. Readings will come from my class notes and from the textbook, which is the 3rd Edition of University Calculus: Early Transcendentals by Hass et al published by Addison Wesley (Pearson). I will also assign some videos of me working out examples, especially when I want to show you a different way of doing things from the textbook's.

Here are the assigned readings and exercises (Reading 1, Reading 2, Reading 3, Reading 4, Reading 5, Reading 6, Reading 7, Reading 8, Reading 9, Reading 10, Reading 11, Reading 12, Reading 13, Reading 14, Reading 15, Reading 16, Reading 17, Reading 18, Reading 19, Reading 20, Reading 21, Reading 22, Reading 23, Reading 24, Reading 25, Reading 26, Reading 27, Reading 28, Reading 29, Reading 30); but anything whose assigned date is in the future is subject to change!

  1. Vectors:
  2. Parametrized curves:
  3. Integrating parametrized curves:
  4. Arclength:
  5. Functions of several variables:
  6. Limits and continuity:
  7. Vector fields and differential forms:
  8. Partial derivatives:
  9. Directional derivatives:
  10. Matrices and the Chain Rule:
  11. Tangents:
  12. Local optimization:
  13. Constrained optimization:
  14. Linearization:
  15. Integration along curves:
  16. More integration on curves:
  17. Systems of inequalities: TBA.
  18. Double integrals:
  19. Triple integrals:
  20. Areas, volumes, and averages:
  21. Moments:
  22. Polar coordinates:
  23. Coordinate transformations:
  24. Surfaces:
  25. Integrals across surfaces:
  26. Integrals on surfaces:
  27. Conservative vector fields and exact differential forms:
  28. Green's Theorem:
  29. Stokes's Theorem:
  30. Gauss's Theorem:
That's it!
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