By: Satyadhar Joshi
http://onlineclasses.nanotechbiz.org/
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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
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Cardinality
Rings
Approximation
Compactness and Connectedness
Analytical Complex
Metric
Decimal expansion of 723
K factorial number of zeros
Euclidian Algorithm
Vector Spaces
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R and Rn
Graph Theory
Symmetric group
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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
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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
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Graph theory on 266
Algo on 267
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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
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Fourier
Laplace
Curl divergence
Minima for x,y
Integration ab initio
Series all type
Eisenstien criteria off polynomial
Heaviside theorem
Invariant sub group
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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
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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
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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
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Black and white
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Intersection of planes
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Fourier
Laplace
Curl divergence
Minima for x,y
Integration ab initio
Series all type
Eisenstien criteria off polynomial
Heaviside theorem
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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
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Laurenz
Residual theoram
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Partial
Delta
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Green’s theoram
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All complex integration formula esp the
inverse ones
All limit integration formulae
All trigonometry
Coordinate geometry
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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
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Schaum's outlines on Abstract Algebra
Berkeley Problems in Mathematics
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Some exam content belongs to Indian
Engineering Maths but many topics are not in
EM
Linear Algebra
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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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To request a free session on any topic of the
exam you can email me at
shivgan3@yahoo.com
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REA Tests
Cracking the Subject GRE Math
Papers of ETS (old)
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Crack the GRE Maths exam by Princeton review
http://www.mathematicsgre.com/
http://www.mathcity.org/papers/gre/
Maths Subject Test, Morris Bramson, ACRO 5
test
4 GRE Maths Subject Test Provided by ETS
http://www.isbnlib.com/preview/0878916377/GR
E-Mathematics-REA---The-Best-Test-Prep-forthe-GRE-Test-Preps
http://sfmathgre.blogspot.com/
http://onlineclasses.nanotechbiz.org/