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.


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.

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