Glencoe's high school precalculus book. It ends with a limits and derivatives chapter to get you ready for AP Calculus.
Function definition, graph analysis, continuity and limits as graphical concepts, extrema, parent functions and transformations, function composition, and inverse functions. Glencoe-distinctive Chapter 1 framing introduces limits informally before the dedicated Ch 12 calculus bridge.
Power and radical functions, polynomial graphs and zeros, Remainder and Factor Theorems, rational function asymptotes, polynomial and rational inequalities.
Exponential and logarithmic function definitions, graphs, properties, equations, and modeling. Includes nonlinear regression for data fitting.
Right triangle trigonometry, radian measure, unit circle, graphs of trigonometric functions, inverse trigonometric functions, Law of Sines and Law of Cosines.
Fundamental, sum/difference, double-angle, half-angle, and product-to-sum identities; verifying identities; solving trigonometric equations.
Multivariable linear systems, matrix operations, determinants, inverses, Cramer's Rule.
Parabolas, ellipses, hyperbolas.
Plane vectors and operations.
Polar coordinates and graphs, complex numbers in polar form, DeMoivre's Theorem.
Arithmetic and geometric sequences and series, the Binomial Theorem.
Calculus preview: graphical and algebraic limits, tangent line problem, derivative definition, area under a curve. Cross-listed M2231 keys per Pre_06 Larson Limits 5e / Pre_09 Big Ideas Precalc 2024 precedent.