ขอบเขตเนื้อหารายวิชาสอบและตัวอย่างข้อสอบ

รายวิชา Principles of Mathematics
Proofs of theorems concerning sets,  relations, functions, operations, real numbers.

รายวิชา Calculus
Limits and continuity; differentiation and its applications; integration and its applications; transcendental functions; techniques of integration; improper integrals; sequences and series of real numbers; power series.

รายวิชา Linear Algebra
Finite-dimensional vector spaces; linear transformations; determinants; diagonalization.

รายวิชา Abstract Algebra
Groups; rings; fields; homomorphisms.

รายวิชา Mathematical Analysis
The Real number system; topology on the real line; sequences of real numbers; limits and continuity; differentiation; Riemann integration; series of real numbers.