GRE Mathematics Subject Test
The Mathematics Subject Test of GRE is developed with the idea of determining the capabilities of a student with respect to Mathematics as a subject. The Mathematics Subject test is now called the Mathematics Test (Rescaled). Though the general test of GRE does have a quantitative section which tests the mathematical skills of a student, it does not suffice. The purpose of the Mathematics subject test is that the knowledge and caliber of a student for high school level mathematics can be checked. In the quantitative section of the general test the basics of mathematics are tested whereas in the Mathematics Test an advanced level of mathematics is tested. The scope of the Mathematics test is so as to gauge the knowledge and skills that a student must have in order to pursue mathematics as a subject in graduation.
This subject test has 66 questions. All the questions are multiple choice questions and they are to be answered in two hours and fifty minutes. These multiple choice questions of the Mathematics Test typically have five answer choices out of which you have to choose the correct answer. There will rarely be more than one question clubbed together. There will be extra space provided for rough work.
The questions in the test are based on algebra, calculus and some other topics of mathematics. 50% of the questions in the test are based on calculus. Calculus includes differential and integral calculus (in one and more than one variables). In addition there will be questions based on the relation of calculus with trigonometry, coordinate geometry, differential equations and other branches of mathematics. Some questions will also be application based.
25% of the questions in the Mathematics test are based on algebra. Apart from the elementary algebraic techniques which are widely used there will be questions based on linear algebra and abstract algebra and number theory. Linear algebra includes matrix algebra, systems of linear equations, vector spaces, linear transformations, characteristic polynomials and Eigen values and Eigen vectors.
Abstract algebra and number theory includes group theory, the theory of rings and modules, field theory, and number theory.
25% of the questions of the Mathematics test are based on additional topics. These include topics from introductory real analysis which are: sequences and series of numbers and functions, continuity, differentiability and integrability and elementary topology of real numbers. Also there are topics from discrete mathematics which include logic, set theory, combinatorics, graph theory, and algorithms. Further the questions are based on general topology, geometry, complex variables, probability and statistics, and numerical analysis
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