MATH-1300-ES31

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).

Readings

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. Lines:
  5. Systems of equations:
  6. Functions:
  7. Graphs of functions:
  8. Properties of functions:
  9. Word problems with functions:
  10. Linear functions:
  11. Examples of functions:
Quiz 1, covering the material in Problem Sets 2–11, is on September 12 Monday.

Polynomial functions

  1. Composite functions:
  2. Inverse functions:
  3. Coordinate transformations:
  4. Quadratic functions:
  5. Applications of quadratic functions:
  6. Power functions:
  7. Graphing polynomials:
  8. Advanced factoring:
  9. Imaginary roots:
  10. Rational functions:
  11. Inequalities:
Quiz 2, covering the material in Problem Sets 12–22, is on October 3 Monday.

Transcendental functions

  1. Exponential functions:
  2. Logarithmic functions:
  3. Properties of logarithms:
  4. Logarithmic equations:
  5. Compound interest:
  6. Applications of logarithms:
  7. Circles:
  8. Angles:
  9. Length and area with radians:
  10. The trigonometric operations:
  11. Right triangles:
  12. Special angles:
Quiz 3, covering the material in Problem Sets 23–34, is on October 24 Monday.

Analytic trigonometry

  1. The trigonometric functions:
  2. Basic sinusoidal graphs:
  3. More basic graphs:
  4. Transformations of trigonometric functions:
  5. Sinusoidal functions:
  6. Inverse trigonometric operations:
  7. More inverse trigonometric operations:
  8. Sum-angle formulas:
  9. Sum–product formulas:
  10. Half-angle formulas:
  11. Simplifying trigonometric expressions:
  12. Trigonometric equations:
  13. Tricky trigonometric equations:
Quiz 4, covering the material in Problem Sets 35–47, is on November 14 Monday.

Applications of trigonometry

  1. Solving right triangles:
  2. The Law of Sines:
  3. The Law of Cosines:
  4. Area of triangles:
  5. Applications of solving triangles:
  6. Harmonic motion:
  7. Polar coordinates:
  8. Equations in polar coordinates:
  9. Graphing in polar coordinates:
  10. Complex numbers:
  11. Vectors:
  12. Vectors and angles:
Quiz 5, covering the material in Problem Sets 48–59, is on December 5 Monday.

Quizzes

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

Final exam

There is a comprehensive final exam on December 14 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 December 12–16.) To speed up grading at the end of the term, the exam is multiple choice and filling in blanks, 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 2023 September 12. Toby reserves no legal rights to them.

The permanent URI of this web page is https://tobybartels.name/MATH-1300/2022FA/.

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