GRE Subject Test · GRE Mathematics

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• 1C.1 · Single-variable calculus and applications
• 2C.2 · Multivariable calculus and vector analysis
• 3A.1 · Linear algebra
• 4A.2 · Abstract algebra and number theory
• 5T.1 · Real analysis and topology
• 6T.2 · Discrete mathematics, probability and numerical methods
• 7T.3 · Complex analysis and residues
• 8C.3 · Differential equations and initial conditions
• 9A.3 · Groups, cosets and quotient maps
• 10A.4 · Rings, ideals and modules
• 11A.5 · Polynomials and field extensions
• 12A.6 · Congruences, divisibility and arithmetic functions
• 13T.4 · Sequences, series and uniform convergence
• 14T.5 · Open sets, compactness and connectedness
• 15C.4 · Taylor expansions and power-series endpoints
• 16C.5 · Improper integrals and geometric applications
• 17C.6 · Multivariable extrema and constrained optimisation
• 18C.7 · Coordinate changes and vector integral theorems
• 19T.6 · Functions, inverse branches and composition
• 20T.7 · Set images, equivalence relations and logical negation
• 21T.8 · Conditioning, Bayesian inference and sampling error
• 22T.9 · Similarity, scaling and conic distance loci
• 23C.8 · Trigonometric phase and parametric curves
• 24T.10 · Vector geometry, projections and oriented area
• 25C.9 · Integrating factors and nonhomogeneous differential equations
• 26T.11 · Weak compositions, loop invariants and flowchart tracing
• 27C.10 · Implicit differentiation and the inverse Jacobian
• 28A.7 · LU factorisation and nullity of composed maps
• 29C.11 · Integration by parts, order reversal and symmetry
• 30C.12 · Related rates and removable quotient limits
• 31T.12 · Metric completeness and closure from a basis