gre-sub数学考试大纲及试卷组成

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　　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