Pearson/Savvas's HS-AP-prep precalculus textbook by Demana, Waits, Foley, Kennedy, and Bock. The dominant Pearson HS precalc adoption — graphical-numerical-algebraic (GNA) pedagogy emphasizing multiple representations of every concept. Chapter P prerequisites + 10 chapters of precalc with a Ch 10 limits/derivatives/integrals preview that bridges to AP Calc. Distinctive sections include §1.3 Twelve Basic Functions (signature pedagogical anchor), §3.6 Mathematics of Finance, and a dual-section §9.7-§9.8 Statistics and Data (graphical/algebraic). Companion to Demana Calculus 6e — together they form Pearson's dominant HS AP-prep pipeline.
Foundational review of the real number system, coordinate geometry, linear equations and inequalities, complex numbers, and graphical/numerical/algebraic approaches to solving equations — the GNA pedagogy applied to algebra-prep skills.
Functions as the central object of precalculus — definition, properties, twelve basic parent functions (Demana's signature pedagogical anchor), function combinations and composition, parametric equations as a relation/inverse framework, transformations, and modeling.
Polynomial and power functions including modeling applications, real and complex zeros, the Fundamental Theorem of Algebra, rational functions and their asymptotic behavior, and graphical/algebraic solving of one-variable equations and inequalities.
Exponential and logistic growth/decay, logarithmic functions and their properties, exponential and logarithmic equations and modeling, plus a Demana-distinctive Mathematics of Finance section covering interest, present/future value, and annuities.
Angle measure (degrees and radians), trigonometric functions on acute angles and the unit circle, graphs of all six trig functions including composite forms, inverse trig functions, and trig modeling and applications.
Trigonometric identities (fundamental, sum/difference, multiple-angle), proving identities algebraically, and the Law of Sines and Law of Cosines for solving non-right triangles.
Vectors in the plane, dot product, parametric equations of motion, polar coordinates and graphs, complex numbers in trigonometric form, and De Moivre's Theorem.
Two-equation and multivariate linear systems, matrix algebra including row operations, partial fractions for rational expressions, and systems of inequalities in two variables.
Conic sections (parabolas, ellipses, hyperbolas), polar equations of conics, and a brief introduction to the three-dimensional Cartesian coordinate system.
Combinatorics (counting principle, permutations, combinations), the Binomial Theorem, basic probability, sequences, series and their summation notation, and mathematical induction.
AP-Calc-prep preview chapter — limits and continuity, the tangent line problem (introducing the derivative), the area problem (introducing the definite integral), and numerical differentiation/integration. Cross-listed from M2231 calc 1 keys; same approach as Larson Limits 5e Ch 11 and Sullivan/Stewart Ch 14/12 preview chapters.