Reading homework

  1. General review:
  2. Limits informally:
  3. Continuity informally:
  4. Defining continuity:
  5. Defining limits:
  6. Evaluating limits and checking continuity:
  7. Theorems about continuous functions:
  8. Differences and difference quotients:
  9. Derivatives as limits:
  10. Derivative functions:
  11. Differentiating polynomials:
  12. Rules for differentiation:
  13. Differentials:
  14. Implicit differentiation:
  15. Exponential functions:
  16. Logarithmic functions:
  17. Trigonometric operations:
  18. Inverse trigonometric operations:
  19. Using derivatives with respect to time:
  20. Harmonic motion:
  21. Related rates:
  22. Sensitivity and linear approximation:
  23. Mean-value theorems:
  24. Increasing and decreasing functions:
  25. Constant functions:
  26. L'Hôpital's Rule:
  27. Absolute extrema:
  28. Local extrema:
  29. The second-derivative test:
  30. Concavity:
  31. Graphing:
  32. Graphing asymptotes:
  33. Applied optimization:
  34. Optimization in economics and finance:
  35. Newton's Method:
  36. Riemann sums:
  37. Riemann integrals:
More to come!
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