MATH-1600-LN02

Welcome to the permanent home page for Section LN02 of MATH-1600 (Calculus 1) at Southeast Community College in the Spring term of 2022. I am Toby Bartels, the instructor.

Course administration

Contact information

I am often available outside of those times; feel free to send a message any time.

Readings

The official textbook for the course is the 4th Edition of University Calculus: Early Transcendentals by Hass et al published by Addison Wesley (Pearson). You will automatically get an online version of this textbook through Canvas, although you can use a print version instead if you like. This comes with access to Pearson MyLabs, integrated into Canvas, on which many of the assignments appear. I also have a supplemental text (DjVu) containing my notes on the material.

Continuity and limits

  1. General review:
  2. Limits informally:
  3. Limits involving infinity:
  4. Continuity informally:
  5. Defining continuity:
  6. Defining limits:
  7. Evaluating limits and checking continuity:
  8. Calculating with infinity:
  9. Theorems about continuous functions:
  10. Differences and difference quotients:
  11. Derivatives as limits:
  12. Derivative functions:
  13. Differentiating polynomials:
  14. Rules for differentiation:
  15. Differentials:
  16. Implicit differentiation:
  17. Exponential functions:
  18. Logarithmic functions:
  19. Trigonometric operations:
  20. Inverse trigonometric operations:
  21. Using derivatives with respect to time:
  22. Harmonic motion:
  23. Related rates:
  24. Sensitivity and linear approximation:
  25. Mean-value theorems:
  26. Increasing and decreasing functions:
  27. Constant functions:
  28. L'Hôpital's Rule:
  29. Absolute extrema:
  30. Local extrema:
  31. The second-derivative test:
  32. Concavity:
  33. Graphing:
  34. Graphing asymptotes:
  35. Applied optimization:
  36. Optimization in economics and finance:
  37. Newton's Method:
  38. Riemann sums:
  39. Riemann integrals:
  40. Antidifferentiation:
  41. The Fundamental Theorem of Calculus:
  42. Integration by substitution:
  43. Differential equations:
  44. Planar area:
  45. Arclength:
  46. Volume of revolution:
  47. Surface area of revolution:
That's it!
This web page and the files linked from it were written by Toby Bartels, last edited on 2022 January 19. Toby reserves no legal rights to them.

The permanent URI of this web page is http://tobybartels.name/MATH-1600/2022SP/.

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