Welcome to the permanent home page for Section ES31 of MATH-1300 (Precalculus) at Southeast Community College in the Fall term of 2022. I am Toby Bartels, your 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 11th Edition of Precalculus by Sullivan published by Prentice-Hall (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.

Graphs and functions

  1. General review:
  2. Graphing points:
  3. Graphing equations:
  4. Linear equations:
  5. Functions:
  6. Properties of functions:
  7. Word problems with functions:
  8. Examples of functions:
Quiz 1, covering the material in Problem Sets 1–8, is on January 31 Monday.

Polynomial functions

  1. Linear functions:
  2. Composite and inverse functions:
  3. Coordinate transformations:
  4. Quadratic functions:
  5. Applications of quadratic functions:
  6. Polynomial functions:
  7. Advanced factoring:
  8. Rational functions:
  9. Inequalities:
Quiz 2, covering the material in Problem Sets 9–17, is on February 21 Monday.

Transcendental functions

  1. Exponential functions:
  2. Logarithmic functions:
  3. Properties of logarithms:
  4. Compound interest:
  5. Applications of logarithms:
  6. Circles:
  7. Angles:
  8. The trigonometric operations:
  9. Right triangles:
  10. Special angles:
Quiz 3, covering the material in Problem Sets 18–27, is on March 10 Thursday.

Analytic trigonometry

  1. The trigonometric functions:
  2. Graphs of the trigonometric functions:
  3. Sinusoidal functions:
  4. Inverse trigonometric operations:
  5. Sum-angle formulas:
  6. Advanced formulas:
  7. Simplifying trigonometric expressions:
  8. Trigonometric equations:
Quiz 4, covering the material in Problem Sets 28–35, is on April 4 Monday.


  1. The Law of Sines:
  2. The Law of Cosines:
  3. Area of triangles:
  4. Applications of solving triangles:
  5. Harmonic motion:
  6. Polar coordinates:
  7. Equations in polar coordinates:
  8. Graphing in polar coordinates:
  9. Complex numbers:
  10. Vectors:
  11. Vectors and angles:
Quiz 5, covering the material in Problem Sets 36–45, is on April 25 Monday.


  1. Graphs and functions:
  2. Polynomial functions:
  3. Transcendental functions:
  4. Analytic trigonometry:
  5. Applications:

Final exam

There is a comprehensive final exam on May 4 Wednesday, in our normal classroom at the normal time but lasting until 2:10 PM. (You can also arrange to take it at a different time from April 29 to May 5.) 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 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 December 12. Toby reserves no legal rights to them.

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