Complete Precalculus

Build confidence in algebra, functions, graphs and trigonometry with Complete Precalculus, an organized collection of topic practice, diagnostic quizzes and assessments for precalculus study and calculus preparation.

Move from essential foundations to connected mathematical reasoning. Each topic has its own place in the catalogue, so you can follow a study route, repair a specific gap or return for focused revision.

Explore the precalculus curriculum

• Algebra foundations: number sense, powers and radicals, factoring, rational expressions, equations, inequalities, coordinates and systems.

• Functions and graphs: domain and range, transformations, composition, inverse functions, quadratics, polynomials, rational and radical functions, and exponential and logarithmic models.

• Trigonometry: angle measurement, right triangles, the unit circle, trigonometric graphs and inverses, identities, equations, periodic models, and the laws of sines and cosines.

• Connections and extensions: sequences and series, vectors, parametric curves, polar coordinates, complex numbers, conic sections, matrices, partial fractions, counting and probability.

• An optional bridge to calculus: introductory limits, continuity, rates of change and accumulation, with cumulative tasks that connect earlier ideas.

Practice with understanding

Topic practice combines conceptual questions and calculations with interpretation, modeling and problem solving. Single-select and multiselect formats encourage careful reasoning about both correct answers and tempting alternatives. Detailed explanations show the method, relevant conditions and common mistakes, helping you learn from each attempt.

The collection separates diagnostics, topic practice, mixed checkpoints, delayed retrieval and cumulative assessments. Use each for its purpose: locate a gap, develop a skill, connect topics or check what you can still do after time away.

Choose your study route

1. Find your starting point. Begin with the orientation and diagnostic material, then revisit the foundations you need.

2. Build and connect skills. Work through the relevant topic books, attempt questions independently and study the explanations afterward.

3. Check and revisit. Use mixed assessments to test transfer, then return later for retrieval practice and targeted revision.

The core route emphasizes algebraic fluency, functions, graphs, modeling and trigonometry. Optional extensions let you broaden your study without making every advanced topic a prerequisite. The calculus bridge is an introduction, not a replacement for a full calculus course.

Designed for students studying precalculus, returning learners refreshing mathematics, and teachers selecting focused practice. Browse the nested catalogue below to find the currently available topic books and quizzes.