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/