Sullivan/Sullivan III Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, 5th edition (2023) — a Pearson college precalculus textbook by Michael Sullivan and Michael Sullivan III organized around the Sullivan family's Concepts Through Functions (CTF) pedagogy. Unit-Circle binding variant of the CTF series: trigonometry is introduced via unit-circle definitions of trigonometric functions of real numbers before right-triangle interpretations are introduced. 14 chapters + Appendix A.
A review of basic algebra and geometry concepts before precalculus topics begin.
Coordinate geometry: distance, midpoint, intercepts, symmetry, lines, circles.
Functions; graphs and properties; transformations; mathematical models.
Linear and quadratic functions; modeling; properties; quadratic inequalities.
Polynomial and rational functions: graphs, zeros, asymptotes, applications.
Composite, inverse, exponential, and logarithmic functions; equations; modeling.
Angles, unit circle approach, properties of trig functions, and graphs.
Inverse trigonometric functions, identities, and trigonometric equations.
Right triangle trigonometry, laws of sines and cosines, areas, harmonic motion.
Polar coordinates, complex plane, and vectors in 2D and 3D.
Conic sections, rotation of axes, polar conics, and parametric equations.
Linear and nonlinear systems; matrices; determinants; matrix algebra.
Sequences and series; mathematical induction; binomial expansion.
A precalc-level introduction to calculus concepts: limits, derivatives, and integrals. Cross-listed from M2231 (Calc 1).