Mathematics Tips for IIT JEE 2009

Mathematics paper has often been more difficult than the other two subjects, finds Saurabh Kumar

1. Mathematics paper has often been more difficult than the other two subjects (Physics & Chemistry).

2. Very often a Maths problem can be solved using a number of ways - only one way will be the shortest and most elegant. So, it might help if a student spends a few seconds after reading a question thinking which may be the shortest way to do the problem. Understanding the graph of a function can be very helpful.

3. Following will be the marks-wise breakup for topics:

Topic	Marks
Algebra	30%
Trigonometry	5%
Two-dimensional geometry	20%
Three-dimensional geometry	5%
Differential Calculus	19%
Integral Calculus	18%
Vectors	3%

While all topics are important, based on analysis of past years papers, following sub-topics have a higher probability of figuring in the paper:

Topic	Sub-topic	Probability
Algebra	Complex Numbers: Geometry	High
Algebra	Binomial Theorem: binomial coeff.	High
Trigonometry	Properties of Triangle	High
Trigonometry	Inverse Trigonometric functions	High
2D Geometry	Locus Problems on Circles/straight lines	High
2D Geometry	Conic Sections: Parabola, Ellipse	High
Differential Calculus	Real Functions Properties	High
Differential Calculus	Applications of derivatives montonicity	High
Integral Calculus	Definite Integrals properties	High
Integral Calculus	Differential Equations evaluation	High
Vectors	Vector Product	High