# GRE Subject Test: Mathematics

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GRE comprises of around 66 multiple choice questions, Which are being framed from the courses generally studied at the undergraduate level.

The Mathematics Test was altered in October 2001, But the content of the test is still the same.

Around 50% of the questions consist of calculus and its usage-subject matter that can be imagined to be common to the backgrounds of almost all mathematics majors.

Around 25% of the questions appearing in the test are elementary algebra, linear algebra, abstract algebra, and number theory. The remaining questions will come from other areas of mathematics currently studied by undergraduates in various institutions.

The content mentioned below with the description may help students in preparing for the test. The mentioned percentage are based on estimates; actual percents can differ from one edition of the test with the another.

- Calculus-50%
- Material learned in the usual sequence of elementary calculus courses-differential and integral calculus of one and of several variables consists calculus-based applications and connections with co-ordinate geometry, trigonometry, differential equations and other branches of mathematics.
- Algebra-25%
- Elementary algebra:
- General 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. The above mentioned topics will be covered in the test should not be considered exhaustive; it is essential to have an idea of many other relative concepts. Candidates must keep in mind that questions requiring no more than a good pre-calculus knowledge may prove very challenging; Some questions may prove the most difficult questions in the test. Basically, the questions are intended not only to test recall of information but also to help the candidates in understanding of basic concepts and a sight to these concepts wherever required.

Important Note: The Mathematics Test was rescaled effective October 2001 and renamed “Mathematics Test (Rescaled).” Scores earned on the Mathematics Test (Rescaled) after October 2001 must not be compared with the scores achieved before that date. Further details about the rescaled test will be available in the GRE Guide to the Use of Scores leaflet that will also consist of score reports.