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 : 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/
Opening Ceremony on Subject Examand Introduction to Subject Exam : Opening Ceremony on Subject Examand 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
Slide 3 : 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 high school and used throughout mathematics Linear algebra: matrix algebra, systems of linear equations, vector spaces, linear transformations, characteristic polynomials, and eigenvalues and eigenvectors Abstract algebra and number theory: elementary topics from group theory; theory of rings and modules, field theory, and number theory Additional Topics - 25%
Introductory real analysis: sequences and series of numbers and functions, continuity, differentiability and integrability, and elementary topology of R and Rn Discrete mathematics: logic, set theory, combinatorics, graph theory, and algorithms Other topics: general topology, geometry, complex variables, probability and statistics, and numerical analysis The above descriptions of topics covered in the test should not be considered exhaustive; it is necessary to understand many other related concepts. Prospective test takers should be aware that questions requiring no more than a good precalculus background may be quite challenging; some of these questions turn out to be among the most difficult questions on the test. In general, the questions are 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 in various situations.
About the Extreme Max Session : 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
Know about the applicabilityThis studies help you in long term : Know about the applicabilityThis studies help you in long term Application of learning
Mathematical finance
Example: Partial differentiation, probability
Quantitative Marketing
Example:
What is business decision making : What is business decision making Probability
Statistics
Continuous & discreet functions
Regression
Time series Models
Time-frequency analysis
Business Statistics: Contemporary Decision Making, 5th Edition by Ken Black, Wiley
Application to quantitative Finance : Application to quantitative Finance Applications in finance:
Binomial asset pricing function,
Brownian motion,
Martingale process ,
Stochastic Integrals,
Ito’s and Girsanov’s theorem,
stochastic differential equations,
continuous time financial models,
Hedging strategies,
Black Sholes formulas, Term structure
Plan for Each Day : Plan for Each Day Theory of the Chapter and its application in various subjects
Solved Numerical in the Subject
Test for each chapter of around 20 Question from the 5 tests released by ETS with detailed solutions
Formulae book of each chapter to be given
Each topic to end with question of the real exam
Doubt clearing sessions
Pre- Calculus (Day 1) : Pre- Calculus (Day 1) Functions
Analytical Geometry
Polynomial Equations
Logarithms
Trigonometry
Target questions 20
Business Examples : Business Examples Cost is function of time
Many variations may be either of the curves we study here like earths motion around sun is elliptic, why?
Degree two equations must be solved
Exponential and logarithmic means that effect of the problems is dependent as we go along ie. Increasing as a exponential function
Calculus 1 (Day 2) : 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
Day 2 : Day 2
Calculus 2 (Day 3) : 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
Business Case for class three : Business Case for class three
Differential Equations (Day 4) : Differential Equations (Day 4) All types of Linear Differential Equations
Business case for Class 4 : Business case for Class 4
Linear Algebra (Day 5, 13th march) : Linear Algebra (Day 5, 13th march) Matrix, Determinants
Eigen values and vectors
Linear Transformations
Business case for linear algebra : Business case for linear algebra
Number Theory & Abstract Algebra (Day 6) : 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
Business case for class 6 : Business case for class 6
Additional Topics (Day 7) : Additional Topics (Day 7) Set Theory
Permutations Combinations
Point Set Topology
Complex Variables
Business case for class 7 : Business case for class 7
3 Mock Tests on Maths AGRE (Day 8-9) : 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 tests provided by ETS
Why mock tests and their use : Why mock tests and their use
References : 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/