The mathematics questions in the test is drawn from the undergraduate level courses. It consists of approximately 66 multiple-choice questions. About 50 percent of the questions imply calculus and its applications — subject matter that is assumed to be common to the backgrounds of almost all mathematics majors. Approximately 25 percent of the questions in the test are extracted elementary algebra, linear algebra, abstract algebra, and number theory.
Before appearing for the test, the aspirants should be well versed about the test. As it may be a challenging for those who doesn’t belong to the mathematical background.
The following content descriptions may assist students in preparing for the test. The percents given are estimates; actual percentages will vary somewhat from one edition of the test to another.
CALCULUS — 50%
Material learned in the usual sequence of elementary calculus courses — differential and integral calculus of one and of several variables — including calculus-based applications and connections with coordinate geometry, trigonometry, differential equations and other branches of mathematics.
ALGEBRA — 25%
- Elementary algebra: basic algebraic techniques and manipulations acquired in high school and used throughout mathematics
- Linear algebra: matrix algebra, systems of linear equations, vector spaces, linear transformations, characteristic polynomials, and eigenvalues and eigenvectors
- Abstract algebra and number theory: elementary topics from group theory, theory of rings and modules, field theory, and number theory
ADDITIONAL TOPICS — 25%
- Introductory real analysis: sequences and series of numbers and functions, continuity, differentiability and integrability, and elementary topology of R and Rn
- Discrete mathematics: logic, set theory, combinatorics, graph theory, and algorithms
- Other topics: general topology, geometry, complex variables, probability and statistics, and numerical analysis