Precalculus
Undergraduate · Math
Syllabus focus
Topics typically covered
Click a topic for the full text and related unit practice.
Undergraduate Precalculus — scope drawn from OpenStax Precalculus 2e and OpenStax Algebra and Trigonometry 2e.
Functions and algebra review
- Functions: domain, range, composition, and inverses — Functions: domain, range, composition, and inverses
- Polynomial and rational functions — Polynomial and rational functions; zeros and asymptotes
- Exponential — Exponential
- Logarithmic functions — Logarithmic functions
- Transformations of functions — Transformations of functions
- Reflections — Reflections
- Piecewise-defined functions — Piecewise-defined functions
- Absolute value — Absolute value
Trigonometry and analytic geometry
- The unit circle — The unit circle
- Arc length — Arc length
- Trigonometric functions and their graphs — Trigonometric functions and their graphs
- Trigonometric identities and equations — Trigonometric identities and equations
- Law of sines and law of cosines — Law of sines and law of cosines
- Conic sections — Conic sections
- Hyperbolas (standard forms) — Hyperbolas (standard forms)
Sequences and limits
- Arithmetic and geometric sequences and series — Arithmetic and geometric sequences and series
- Binomial theorem — Binomial theorem
- Pascal's triangle (introduction) — Pascal's triangle (introduction)
- Introduction to limits — Introduction to limits
- Continuity (informal) — Continuity (informal)
- Polar coordinates — Polar coordinates
- Parametric equations (where covered) — Parametric equations (where covered)
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Functions and algebra review
Functions: domain, range, composition, and inverses
Coming soon - Trigonometry and analytic geometry
The unit circle
Coming soon - Sequences and limits
Arithmetic and geometric sequences and series
Coming soon
Notes
Undergraduate Precalculus — scope drawn from OpenStax Precalculus 2e and OpenStax Algebra and Trigonometry 2e. Topic outline: `content/topics/undergraduate/precalc.json`.