Algebra, number theory, and probability

Equations, sequences, probability, vectors, and methods for choosing a solution.

Calculus and complex numbers

Limits, differentiation, integration, parametric curves, and complex-plane geometry.

University of Tokyo entrance mathematics

Past-paper problems, complete solutions, difficulty analysis, and preparation strategies.

Common Test and Center Test mathematics

Historical paper explanations and strategies for the Japanese university entrance tests.

Books and study resources

How to choose and use Japanese entrance-exam mathematics resources.

University mathematics

Topics beyond the school curriculum, from algebraic number theory to quantum algorithms.