Savvas's enVision high school precalculus book. Chapters are called Topics in this one, and the last Topic introduces calculus.
Linear functions, function graph analysis, function operations and composition, inverse functions, modeling.
Quadratic functions, polynomial graphs and zeros, Remainder/Factor Theorems, rational function asymptotes, polynomial and rational inequalities.
Exponential and logarithmic functions, properties, equations, growth and decay modeling.
Angles, radian measure, unit circle, right-triangle trig, graphs of trigonometric functions, inverse trig functions, applications.
Verifying trig identities, sum/difference and double-angle formulas, trigonometric equations.
Law of Sines, Law of Cosines, polar coordinates, complex numbers in polar form, vectors, dot product.
Linear and nonlinear systems.
Matrix solutions, matrix algebra, determinants, Cramer's Rule.
Ellipse, hyperbola, parabola.
Arithmetic and geometric sequences and series, the Binomial Theorem.
Calculus preview: limits using tables, graphs, and properties; continuity; introduction to derivatives. Cross-listed M2231 keys per Pre_06 Larson Limits 5e / Pre_09 Big Ideas Precalc 2024 precedent.