this from the gre website:
4 MATHEMATICS TEST (RESCALED)
...
The test consists of 66 multiple-choice questions,
drawn from courses commonly offered at the under-
graduate level. Although the Mathematics Test has
been rescaled, the content of the test has not changed.
Approximately 50 percent of the questions involve
calculus and its applications —subject matter that can
be assumed to be common to the backgrounds of
almost all mathematics majors. About 25 percent of
the questions in the test are in elementary algebra,
linear algebra, abstract algebra, and number theory.
The remaining questions deal with other areas of
mathematics currently studied by undergraduates in
many institutions.
The following content descriptions may assist
students in preparing for the test. The percentages
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, char-
acteristic polynomials, eigenvalues and eigenvectors
Abstract algebra and number theory: elementary
topics from group theory, the 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, elementary topology of \0 and \0n
Discrete mathematics: logic, set theory, combina-
torics, graph theory, and algorithms
Other topics: general topology, geometry, complex
variables, probability and statistics, and numerical
analysis
The above descriptions of topics covered in the test
should not be considered exhaustive; it is necessary to
understand many other related concepts.
