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GRE Mathematics Subject Test Prep
The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal. -- William James
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 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
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