1. Subject GRE Maths Classes
A Presentation on Subject AGRE Maths Content of the Class on Pre-Calculus (10%) Fun-learning---- Zero memorization
Subject GRE Maths Classes
By: Satyadhar Joshi
And Mock tests

2. Key Aspects of Teaching
Effortless & Highly condensed
Multiple exams covered
Full-of-fun
0-memory-based
Long-termed
Root-based
Ab-initio
Practical Examples

3. Pre- Calculus (Day 1) Functions (Inverse, graphs) Analytical Geometry
Polynomial Equations
Logarithms
Trigonometry

4. Questions Functions f g and f inverse Focus of conic sections
Quad equation with complex roots
Log
Complex inverse questions on trig

5. Mapping One-one Many one
Onto ( each element can be mapped to another in the other sets ex y=2x)
Into (some of the elements cannot be mapped like y=x2)

6. Example 1
Example of Many one onto: If two or more students are sharing a chair and no chair remain vacant.

7. Composite Function (g o f)x =g(f(x))
Example: f(x)=x2 and g(x)=x+7, then both combinations

8. Range of the function: it’s the value set that the functions points
Domain of a function: it’s the value set the function takes
Intervals of x-2 x-1 etc

9. Inverse Function
Inverse Mapping
If f(x)=y, then f-1(y)=x
Example 1.4

12. Analytical Geometry
How they got into existence ? Why are they the most basic structures ?
Circle, Ellipse, hyperbola & Parabola
Foci, vertices, axes and asymptotes
Definition of the three
Line= ax+by+c=0
Circle
Ellipse, (x/a)2 + (y/b)2 = 1
Parabola, y= +-(1/4p)x2
Focus is the point which is used to define them

13. Circles Equation of circles
Tangent to a circle: at point and with a given slope (page 176 Coordinate geometry SK Goyal Arrihant)
Derivation using calculus method for point

15. Conic Section Eccentricity
(page 303 Coordinate geometry SK Goyal Arrihant)

16. Eccentricity Derivation for Ellipse
(page 421 Coordinate geometry SK Goyal Arrihant)

22. Derivation of trigonometry

23. Logarithmic
Other Slide

24. Page 26 CSGRE

25. Page 32

28. Graphs in XY Plane
Intercept form

29. History Introduction to derivation of pie in a circle What is angle
What is distance

31. Polynomial Equations Quadratic Equation Theory and roots of equations
Sum and products of roots
Sum of roots= - an-1/an
Product of roots= (-1)n a0/a1

33. Logarithmic and Trigonometry
Identities and formulas
Periodicities
What is log?
How is it related to exponential ?
How does e came into existence?

34. Graph of Log Function

35. Application to real work
Applications in finance: Binomial asset pricing function, Brownian motion, Martingale process , Stochastic Integrals, Ito’s, Girsanov’s theorem, stochastic differential equations, continuous time financial models, Hedging strategies, Black Sholes formulas, Term structure
Applications in computer
Applications in marketing

37. Reference Cracking the GRE Math Test, 3rd Edition
IIT JEE Maths ML Khanna (pp 575)
GRE Math Test REA