subject gre maths intro

8/3/2019 Subject GRE Maths Intro

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A Short Course on Subject GRE /

AGRE Maths in 9 Classes, (2 Hrs each

Day)20 hrs Course; 200 Questions of

AGRE solved in the Class

By: Satyadhar Joshi

http://onlineclasses.nanotechbiz.org/


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Opening Ceremony on Subject Exam

and Introduction to Subject Exam Advantages of Exam for an Admission and financial Aid for MS / PhD

Level of difficulty of the Exam

Time required for preparation to target exam in Nov each year

Resources and books recommended for the exam Importance For Management and Computer Science Students

Useful in Research and applicability

Solving and discussion on GRE9768, GRE9367, GRE8767, GR0568, 5

Test by ACRO (in all 10 tests to be covered for AGRE)

Many book reviews (Advanced Engineering Mathematics 8th Erwin

Kreyszig, Calculus Tom IN. Apostol Part 1 and 2) & summary of

books on AGRE Maths


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Calculus - 50%

Material learned in the usual sequence of elementary calculus courses -differential and integral calculus of one and of several variables - includes calculus-based applications and connections with coordinate geometry, trigonometry,

differential equations, and other branches of mathematics Algebra - 25%

Elementary algebra: basic algebraic techniques and manipulations acquired in highschool and used throughout mathematicsLinear algebra: matrix algebra, systems of linear equations, vector spaces, lineartransformations, characteristic polynomials, and eigenvalues and eigenvectorsAbstract algebra and number theory: elementary topics from group theory; theoryof rings and modules, field theory, and number theoryAdditional Topics - 25%

Introductory real analysis: sequences and series of numbers and functions,continuity, differentiability and integrability, and elementary topology of R and RnDiscrete mathematics: logic, set theory, combinatorics, graph theory, andalgorithmsOther topics: general topology, geometry, complex variables, probability andstatistics, and numerical analysis

The above descriptions of topics covered in the test should not be consideredexhaustive; it is necessary to understand many other related concepts. Prospectivetest takers should be aware that questions requiring no more than a goodprecalculus background may be quite challenging; some of these questions turnout to be among the most difficult questions on the test. In general, the questionsare intended not only to test recall of information but also to assess test takers'understanding of fundamental concepts and the ability to apply those concepts invarious situations.


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About the Extreme Max Session

This session will be of 5 hours

Pre-Calculus (2 hours)

Calculus 1 (1 hour) Calculus 2 (1 hour)

Differential equations (1 hour)

Which all accounts to around 50% of the exam

50% of exam in 5 hours session


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Know about the applicability

This studies help you in long term

Application of learning

Mathematical finance

Example: Partial differentiation, probability

Quantitative Marketing

Example:


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What is business decision making

Probability

Statistics

Continuous & discreet functions

Regression Time series Models

Time-frequency analysis

Business Statistics: ContemporaryDecision Making, 5th Edition by KenBlack, Wiley


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Application to quantitative Finance

Applications in finance:

Binomial asset pricing function,

Brownian motion,

Martingale process , Stochastic Integrals,

Itos and Girsanovs theorem,

stochastic differential equations,

continuous time financial models, Hedging strategies,

Black Sholes formulas, Term structure


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Plan for Each Day

Theory of the Chapter and its application invarious subjects

Solved Numerical in the Subject

Test for each chapter of around 20 Question fromthe 5 tests released by ETS with detailedsolutions

Formulae book of each chapter to be given

Each topic to end with question of the real exam

Doubt clearing sessions


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Pre- Calculus (Day 1)

Functions

Analytical Geometry

Polynomial Equations

Logarithms

Trigonometry

Target questions 20


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Business Examples

Cost is function of time

Many variations may be either of the curves

we study here like earths motion around sunis elliptic, why?

Degree two equations must be solved

Exponential and logarithmic means that effectof the problems is dependent as we go along

ie. Increasing as a exponential function


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Calculus 1 (Day 2)

Limit

Importance of Convergence

First and Second derivatives

Practical Problems for Rates

Maximum and Minima

Integrals

Series with focus on Taylor Series


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Day 2


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Calculus 2 (Day 3)

Vector Calculus and 3D Geometry

Various type of coordinate System

Partial Differentiation and its interpretation

Line Integrals (Also Ab initio)

Double Integrals

Green Theorem


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Business Case for class three


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Differential Equations (Day 4)

All types of Linear Differential Equations


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Business case for Class 4


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Linear Algebra (Day 5, 13th march)

Matrix, Determinants

Eigen values and vectors

Linear Transformations


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Business case for linear algebra


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Number Theory & Abstract Algebra

(Day 6)

Divisibility

Group

Euclidean algorithms for greatest common divisor

Congruencies Binary Structure and Definition of Group

Group Table

Cyclic and Sub Groups

Homomorphism and Isomorphism

Rings and Fields


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Business case for class 6


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Additional Topics (Day 7)

Set Theory

Permutations Combinations

Point Set Topology

Complex Variables


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Business case for class 7


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3 Mock Tests on Maths AGRE (Day 8-9)

3 Mock test framed just on the pattern on

Subject GRE

Giving and checking progress on 3 testsprovided by ETS


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Why mock tests and their use


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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/G

RE-Mathematics-REA---The-Best-Test-Prep-for-the-GRE-Test-Preps

http://sfmathgre.blogspot.com/

http://onlineclasses.nanotechbiz.org/

subject gre maths intro

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