Uncovered Areas and Strategy Analysis for AGRE Subject GRE Maths (Accelerating your prep)

By: Satyadhar Joshi http://onlineclasses.nanotechbiz.org/ Uncovered Areas and Strategy Analysis for AGRE Subject GRE Maths (Accelerating your prep)

Introduction • 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

Areas for sure shot questions • Cardinality • Rings • Approximation • Compactness and Connectedness • Analytical Complex • Metric • Decimal expansion of 723 • K factorial number of zeros • Euclidian Algorithm • Vector Spaces

Uncovered areas in Princeton though in syllabus • R and Rn • Graph Theory • Symmetric group

Strategy for the last 2 weeks • 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

Not in Princeton but in RAE • 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

Hidden things in CSGRE M • Graph theory on 266 • Algo on 267

Test 1 RAE • 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

Test 2 REA • Fourier • Laplace • Curl divergence • Minima for x,y • Integration ab initio • Series all type • Eisenstien criteria off polynomial • Heaviside theorem • Invariant sub group

Test 3 REA • 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 difffEqn

Test 4 REA • 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

Test 5 REA ( a very good test) • 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

Test 6 REA • 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

Princeton Test (singlet 7/7)

GRE9367

Books to do

GRE8767 • Black and white

GR0568

GRE9768 • Intersection of planes

Not explicitly mentioned but changes of these questions • Fourier • Laplace • Curl divergence • Minima for x,y • Integration ab initio • Series all type • Eisenstien criteria off polynomial • Heaviside theorem

Advanced Areas of AGRE • 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

Complex integral • Laurenz • Residual theoram

Max minima of 2 variables • Partial • Delta

Integration of 3D, double integration • Green’s theoram

Drill • All complex integration formula esp the inverse ones • All limit integration formulae • All trigonometry • Coordinate geometry

Question Series (AGRE) • 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

Solved questions books • Schaum's outlines on Abstract Algebra • Berkeley Problems in Mathematics

Engineering Mathematics (India) • Some exam content belongs to Indian Engineering Maths but many topics are not in EM • Linear Algebra

IIT JEE books • 3D geometry • TrignoEqu • Diff and intgn • Prob • 2(ML Khanna),3(EnggMaths),4(arrihant books),5 (Cracking the AGRE Math)

Request a Free Session • To request a free session on any topic of the exam you can email me at shivgan3@yahoo.com

References • REA Tests • Cracking the Subject GRE Math • Papers of ETS (old)

References • 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/GRE-Mathematics-REA---The-Best-Test-Prep-for-the-GRE-Test-Preps • http://sfmathgre.blogspot.com/ http://onlineclasses.nanotechbiz.org/

Uncovered Areas and Strategy Analysis for AGRE Subject GRE Maths (Accelerating your prep)