Math Subject Test — Final Review

GRE Math Subject · Axiom Academy

SUMMARY Math Subject Test Final Review Comprehensive review: all key formulas, theorems, and test day tips Click each item to mark it as reviewed. Be honest -- only check items you can do without notes . I can compute any standard derivative (chain, product, quotient, implicit) I can integrate by substitution, parts, and partial fractions I know all convergence tests for series (ratio, root, comparison, integral, alternating) I can write Taylor series for e^x, sin x, cos x, 1/(1-x), ln(1+x) I can set up and evaluate double/triple integrals with coordinate changes I know Green's, Stokes', and Divergence theorems and when to apply each I can do Lagrange multipliers problems I can find eigenvalues and eigenvectors of 2x2 and 3x3 matrices I know rank-nullity and can apply it I can compute determinants and know their properties I understand diagonalization and when a matrix is diagonalizable I can work with inner product spaces and orthogonality I know the orders of S_n, D_n, Z_n, and A_n I can identify cyclic and abelian groups I understand Lagrange's theorem and its applications I know rings vs fields and can identify examples I can classify sets as open/closed/compact/connected I can solve 1st and 2nd order ODEs by standard methods I know basic combinatorics (permutations, combinations, inclusion-exclusion) I know Euler's formula for planar graphs and basic graph properties I can verify analyticity using Cauchy-Riemann equations

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