**Bottom Line:** 170 minutes; 66 multiple choice problems;

**Scoring:** +1 for every correct answer; -1/4 for every incorrect answer (raw score is scaled later)

**Syllabus:**

### 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 group theory, rings and modules, field theory, and elementary 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 \(R^n \) .Discretemath: logic, set theory, combinatorics, graph theory, and algorithms. General topology, geometry, complex variables, probability and statistics, and numerical analysis.

## Resources:

## Books:

- Cracking the GRE Mathematics Subject Test, 4th Edition (Graduate School Test Preparation)- Princeton Review (1 sample test)
- GRE Mathematics (GRE Test Preparation) by O. P. Agrawal, T. Elsner, J. Robertson, J. W. Samples – (6 sample tests)
- Real Analysis by Bartle Sherbert
- Multivariable Calculus by Marsden
- Algebra by Artin

### Who Should Take The Test

Applicants to Graduate School should check with the respective department to find out whether GRE Math Subject Test is necessary or not.

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