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 supplemental 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 (hopefully) 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, Reading 31, Reading 32, Reading 33, Reading 34, Reading 35, Reading 36, Reading 37, Reading 38); but anything whose assigned date is in the future is subject to change!

  1. Review:
  2. Work:
  3. Moments:
  4. Differential equations:
  5. Integration by parts:
  6. Trigonometric integration:
  7. Trigonometric substitution:
  8. Partial fractions:
  9. Integration using computers and tables:
  10. Numerical integration:
  11. Improper integrals:
  12. Infinite sequences:
  13. Infinite series:
  14. Evaluating special series:
  15. The Integral Test:
  16. Comparison tests for integrals:
  17. Comparison tests for series:
  18. Alternating series:
  19. Absolute convergence:
  20. The Ratio and Root Tests:
  21. Power series:
  22. Taylor polynomials:
  23. Taylor series:
  24. The Binomial Theorem:
  25. More common Taylor series:
  26. Graphs in three dimensions:
  27. Vectors:
  28. Length and angle:
  29. The dot product:
  30. The cross product:
  31. Parametrized curves:
  32. Geometry with vectors:
  33. Calculus with parametrized curves:
  34. Arclength of parametrized curves:
  35. Polar coordinates:
  36. Graphs in polar coordinates:
  37. Area in polar coordinates:
  38. Length in polar coordinates:
That's it!
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