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. Unless otherwise specified, all exercises are from the textbook.

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. General review:
  2. Continuity and limits informally:
  3. Epsilontics:
  4. Evaluating limits and checking continuity:
  5. Theorems about continuous functions:
  6. Derivatives as limits:
  7. Derivative functions:
  8. Basic rules:
  9. The Chain Rule:
  10. Differentials:
  11. Implicit differentiation:
  12. Exponential functions:
  13. Logarithmic functions:
  14. Trigonometric operations:
  15. Inverse trigonometric operations:
  16. Using derivatives with respect to time:
  17. Related rates:
  18. Sensitivity and linear approximation:
  19. Mean-value theorems:
  20. More theorems about derivatives:
  21. L'Hôpital's Rule:
  22. Absolute extrema:
  23. Local extrema:
  24. Concavity:
  25. Graphing:
  26. Applied optimization:
  27. Newton's Method:
  28. Summation notation:
  29. Riemann sums:
  30. Riemann integrals:
  31. Antidifferentiation:
  32. The Fundamental Theorem of Calculus:
  33. Integration by substitution:
  34. Differential equations:
  35. Planar area:
  36. Arclength:
  37. Volume of revolution:
  38. Surface area of revolution:
That's it!
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