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

Feel free to send a message at any time, even nights and weekends (although I'll be slower to respond then).


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 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 MyLab, 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:
Quiz 1, covering the material in Problem Sets 1–9, is on January 31 Monday.


  1. Differences and difference quotients:
  2. Derivatives as limits:
  3. Derivative functions:
  4. Differentiating polynomials:
  5. Rules for differentiation:
  6. The Chain Rule:
  7. Differentials:
  8. Using differentials:
  9. Implicit differentiation:
  10. Implicit and inverse function theorems:
  11. Exponential functions:
  12. Logarithmic functions:
  13. Trigonometric operations:
  14. Inverse trigonometric operations:
Quiz 2, covering the material in Problem Sets 10–23, is on February 21 Monday.

Applications of differentiation

  1. Using derivatives with respect to time:
  2. Harmonic motion:
  3. Related rates:
  4. Linearization:
  5. Linear estimation:
  6. Mean-value theorems:
  7. Increasing and decreasing functions:
  8. Constant functions:
  9. Concavity:
  10. L'Hôpital's Rule:
  11. Advanced techniques with L'Hôpital's Rule:
Quiz 3, covering the material in Problem Sets 24–34, is on March 11 Friday.

Advanced applications

  1. Absolute extrema:
  2. Local extrema:
  3. The second-derivative test:
  4. Graphing:
  5. Graphing asymptotes:
  6. Applied optimization:
  7. Optimization in economics and finance:
  8. Newton's Method:
Quiz 4, covering the material in Problem Sets 35–42, is on April 4 Monday.


  1. Riemann sums:
  2. Riemann integrals:
  3. Antidifferentiation:
  4. The Fundamental Theorem of Calculus:
  5. Integration by substitution:
  6. Substitution with definite integrals:
  7. Differential equations:
  8. Planar area:
  9. Arclength:
  10. Volume of revolution:
  11. Surface area of revolution:
Quiz 5, covering the material in Problem Sets 43–53, is on April 22 Friday.


  1. Continuity and limits:
  2. Differentiation:
  3. Applications of differentiation:
  4. Advanced applications:
  5. Integration:

Final exam

There is a comprehensive final exam on April 29 Friday, in our normal classroom at the normal time but lasting until 11:40. To speed up grading at the end of the term, the exam is multiple choice, with no partial credit.

For the exam, you may use one sheet of notes that you wrote yourself. However, you may not use your book or anything else not written by you. You certainly should not talk to other people! Calculators are allowed, although you shouldn't really need one, but not communication devices (like cell phones).

The final exam consists of questions similar in style and content to those in the practice final exam (DjVu).

This web page and the files linked from it (except for the official syllabus) were written by Toby Bartels, last edited on 2022 May 9. Toby reserves no legal rights to them.

The permanent URI of this web page is