Courses

From Grade 4 to the Putnam. Each course is a book: prose, worked examples, quick checks and proofs, with quizzes, unit tests, cumulative reviews, a glossary, flashcards and a final.

§1Foundations

Grade 4

8 topics

Grade 5

7 topics

Grade 6

11 topics

Pre-Algebra

16 topics · final exam

§2Algebra

Algebra 1

13 topics · final exam

Algebra 2

13 topics · final exam

Precalculus

13 topics · final exam

Groups and Fields

17 topics

Linear Algebra

11 topics

§3Shape and Angle

Geometry

12 topics · final exam

Trigonometry

14 topics · final exam

§4Analysis

Calculus

14 topics · final exam

Multivariable Calculus

11 topics

Differential Equations

15 topics

§5Discrete and Data

Counting & Probability

12 topics

Statistics & Data

11 topics

Number Theory

11 topics

Graph Theory

11 topics

§6Proof

Proof Writing & Problem Solving

8 topics

USAMO (Olympiad Proofs)

29 topics

§7Competition

AMC 8 / MathCounts

8 topics

AMC 10

10 topics

AMC 12

9 topics

AIME

11 topics

Putnam

23 topics