Stewart, Redlin, and Watson's precalculus book. Trigonometry gets two chapters — one from the unit circle, one from right triangles.
Algebra fundamentals: real numbers, exponents, algebraic expressions, equations, inequalities, coordinate plane.
Functions, graphs, transformations, and inverse functions.
Polynomial and rational functions and their applications.
Exponential and logarithmic functions; equations; modeling.
Trigonometric functions defined via the unit circle; graphs of trig functions; harmonic motion.
Trigonometry from the right triangle perspective; angles; laws of sines and cosines.
Trigonometric identities and equations.
Polar coordinates and graphs; complex numbers in polar form; parametric equations; vectors.
Systems of linear and nonlinear equations; matrices; determinants; partial fractions; inequalities.
Parabolas, ellipses, hyperbolas, and shifted conics.
Sequences and summation; arithmetic and geometric sequences; mathematical induction; binomial theorem.
A precalc-level introduction to limits, derivatives, and area. Cross-listed from M2231 (Calc 1).