Welcome to the permanent home page for Section ES31 of MATH-1300 (Precalculus) at Southeast Community College in the Fall term of 2021. 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 11th Edition of Precalculus by Sullivan published by Prentice-Hall (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.

Graphs and functions

  1. General review:
  2. Graphing points:
  3. Graphing equations:
  4. Lines:
  5. Systems of equations:
  6. Functions:
  7. Graphs of functions:
  8. Properties of functions:
  9. Word problems with functions:
  10. Examples of functions:
  11. Composite functions:
  12. Inverse functions:
Quiz 1, covering the material in Problem Sets 1–12, is on September 13 Monday.

Polynomial functions

  1. Linear functions:
  2. Coordinate transformations:
  3. Quadratic functions:
  4. Applications of quadratic functions:
  5. Polynomial functions:
  6. Advanced factoring:
  7. Imaginary roots:
  8. Rational functions:
  9. Inequalities:
Quiz 2, covering the material in Problem Sets 13–21, is on October 4 Monday.

Transcendental functions

  1. Exponential functions:
  2. Logarithmic functions:
  3. Properties of logarithms:
  4. Solving equations with logarithms:
  5. Compound interest:
  6. Applications of logarithms:
  7. Circles:
  8. Angles:
  9. Length and area with radians:
  10. The trigonometric operations:
  11. Values of the trigonometric operations:
  12. The trigonometric functions:
Quiz 3, covering the material in Problem Sets 22–33, is on October 25 Monday.

Advanced trigonometry

  1. Basic sinusoidal graphs:
  2. Graphs of the other functions:
  3. Sinusoidal functions:
  4. Inverse trigonometric operations:
  5. More inverse trigonometric operations:
  6. Sum-angle formulas:
  7. Sum–product formulas:
  8. Half-angle formulas:
  9. Simplifying trigonometric expressions:
  10. Trigonometric equations:
  11. Tricky trigonometric equations:
Quiz 4, covering the material in Problem Sets 34–44, is on November 15 Monday.


  1. Right triangles:
  2. Solving right triangles:
  3. The Law of Sines:
  4. The Law of Cosines:
  5. Area of triangles:
  6. Applications of solving triangles:
  7. Harmonic motion:
  8. Polar coordinates:
  9. Equations in polar coordinates:
  10. Graphing in polar coordinates:
  11. Complex numbers:
  12. Vectors:
  13. Vectors and angles:
Quiz 5, covering the material in Problem Sets 45–56, is on December 6 Monday.


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

Final exam

There will be a comprehensive final exam on December 15 Wednesday, in our normal classroom at the normal time but lasting until 1:40 PM. (You can also arrange to take it at a different time from December 13 to 17.) To speed up grading at the end of the term, the exam will be multiple choice, with no partial credit.

For the exam, you may use one sheet of notes that you wrote yourself; please take a scan or a picture of this (both sides) and submit it on Canvas. 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 were written by Toby Bartels, last edited on 2021 December 17. Toby reserves no legal rights to them.

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