Sullivan/Sullivan III Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, with Corequisite Support, 4th edition — a Pearson college precalculus textbook (Coreq binding) by Michael Sullivan and Michael Sullivan III in the Concepts Through Functions (CTF) series. Coreq binding variant of the CTF Unit Circle approach: each section is paired with prerequisite-review modules that bring underprepared students up to scaffolded readiness. Same major-topic scope as Sullivan/Sullivan III Precalculus: CTF Unit Circle 5e, with prerequisite scaffolding embedded around each section. 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).