By: Satyadhar Joshi
AGRE is high scoring exam You need to 60/65 for a good score All questions are basic but from a wide domain in mathematics
Cardinality Rings Approximation Compactness and Connectedness Analytical Complex Metric Decimal expansion of 7 23 K factorial number of zeros Euclidian Algorithm Vector Spaces
R and R n Graph Theory Symmetric group
Do Princeton a 100% Solve RAE all tests Solve old tests from internet or yourself Cover all areas US students don’t expect out of the book things, and hence these two book is the bible
Vector Spaces of Linear Algebra Cardinal Numbers R 26 of RAE Ordinary numbers R 38 Student T and Chi and others in Statistics Numerical Analysis (not even mentioned in CSGE Princeton) Geometry of Complex Number (z to d planes) Figures is SET theory Logic Chapter
Graph theory on 266 Algo on 267
Leibniz integral Wronskian (EM 161) Newton Aprox Sylow group Mclaurence series Height of polynomila Eisenstein's criterion FOR irreducible polynomial Cosets in abstract algebra Isomerism
Fourier Laplace Curl divergence Minima for x,y Integration ab initio Series all type Eisenstien criteria off polynomial Heaviside theorem Invariant sub group
Characteristic of Ring Complex matrices Laplas transform Discriminant of tertiary quad equation Alpha and beta function Factor group of AA Riemann integrals (ab initio area under curve) Eisntein criteria for irreducibility 20 Joining of sub group 23 Eighen values in D 28 Homomorphic groups from z8 to z4 Fourier sine series Greens function for Double difff Eqn
Multiple differentiation Left ideal of ring Convergence Variance of 1,2,3,4,5 with equal probability Linear transformation and then finding inverse Beta and gamma function of sin integration Left ideal of Group Homomorphism (Abstract Algebra) Labesque measure of a set
Log questions Order of permutation 29 Orthogonal vectors Lebesgue measure Definite integration rule Hermitian matrix (entries that is equal to its own conjugate transpose) Laplas transformation
Laurent series q12 Modular ring invertible Z transforming two other side q9 Power set Indicial equn Symmetric matrix are those who are commutative Power set properties Harmonic complex function Fields & Rings (Abstract Algebra) Permutation group Chebyshev's theorem probability
Black and white
Intersection of planes
Fourier Laplace Curl divergence Minima for x,y Integration ab initio Series all type Eisenstien criteria off polynomial Heaviside theorem
Complex integral (704 AEM) Double intgn Max min of 2 functions Exact Diff Equn (25 AEM, 64) Vector calculus (curl divergence gradient 446 AEM) Topology () Eigen Values vectors Higher order diff equn Probability normal distribution
Laurenz Residual theoram
Partial Delta
Green’s theoram
All complex integration formula esp the inverse ones All limit integration formulae All trigonometry Coordinate geometry
Questions on topology (questions on subspace, metrics) Questions on AA (isomorphism and ableian) Questions on Number theory (Euclidean and Congruence, right ideals) Questions on Set theory (subsets) Questions on Graphs (spanning tree) Questions on Probability Questions on Definite Integration
Schaum's outlines on Abstract Algebra Berkeley Problems in Mathematics
Some exam content belongs to Indian Engineering Maths but many topics are not in EM Linear Algebra
3D geometry Trigno Equ Diff and intgn Prob 2(ML Khanna),3(Engg Maths),4(arrihant books),5 (Cracking the AGRE Math)
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