GRE Mathematics Subject Test Prep
Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.  Friedrich Ludwig Gottlob Frege
According to ETS, the test consists of:
 Calculus  50%
 Material learned in the usual sequence of elementary calculus courses  differential and integral calculus of one and several variables  includes calculusbased 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 R^{n}
 Discrete mathematics: logic, set theory, combinatorics, graph theory, and algorithms
 Other topics: general topology, geometry, complex variables, probability and statistics, and numerical analysis

