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The following content descriptions may assist students in
preparing for the test. The percents given are estimates; actual
percents 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 - includes 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
The above descriptions of topics covered in the test
should not be considered exhaustive; it is necessary to
understand many other related concepts. Prospective test takers
should be aware that questions requiring no more than a good
precalculus background may be quite challenging; some of these
questions turn out to be among the most difficult questions on the
test. In general, the questions are intended not only to test
recall of information but also to assess test takers'
understanding of fundamental concepts and the ability to apply
those concepts in various situations.
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Note: The Mathematics Test was rescaled
effective October 2001 and renamed "Mathematics Test
(Rescaled)." Scores earned on the Mathematics Test (Rescaled)
after October 2001 should not be compared with scores earned
before that date. Additional information about the rescaled
test is available in the
GREŽ Guide to the Use of Scores leaflet that accompanies
score reports.
Download the Practice Booklet
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