A college precalculus textbook by Michael Sullivan covering graphs, functions, polynomial/rational/exponential/logarithmic functions, trigonometry, analytic trigonometry, applications of trigonometric functions, polar coordinates and vectors, analytic geometry, systems of equations, sequences/induction/binomial theorem, counting and probability, and a preview of calculus (limits, derivatives, integrals). The 12e maintains the structure-of-features pedagogy and includes Appendix A as a review of foundational algebra/geometry concepts. 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).