Standard syllabus
Precalculus · Undergraduate · Math
Learning objectives from the Precalculus syllabus, grouped by unit. Click an objective for study materials.
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)
Learning objectives
Click an objective for study materials.
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)
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
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
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$1,162 · Precalculus · 18 tutoring hrs
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