Standard syllabus
Precalculus · Undergraduate · Math
Topics
Functions and algebra review
- Functions: domain, range, composition, and inverses
- Polynomial and rational functions; zeros and asymptotes
- Exponential and logarithmic functions; laws of logarithms
- Transformations of functions: shifts, stretches, and reflections
- Piecewise-defined functions and absolute value
Trigonometry and analytic geometry
- The unit circle; radian measure and arc length
- Trigonometric functions and their graphs
- Trigonometric identities and equations
- Law of sines and law of cosines
- Conic sections: parabolas, ellipses, and hyperbolas (standard forms)
Sequences and limits
- Arithmetic and geometric sequences and series
- Binomial theorem and Pascal's triangle (introduction)
- Introduction to limits and continuity (informal)
- Polar coordinates and parametric equations (where covered)
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