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Mathematics


Strategy

Paper-I
Question 1 & 5 are compulsory. Out of remaining 5 questions, 3 needs to be answered chosing at least one from each part. So, in total 22 problems (5+5 from compulsory questions and 3x4 = 12 from other 3 questions.) needs to be answered.

Ordinary Differential Equations, Vector Calculus, Linear Algebra and Calculus are relatively easy topics. If one prepares for these topics, 3 full questions and 7 sub questions from Question No. 1 & 5 can be answered. In total one can solve 19 problems and attempt 3 x 60 + 7 x 12 = 264 Marks. Even if one prepares all the topics, it will be difficult to solve more than 19 problems in the examination due to lack of time. Even if one attempts all the problems, it is difficult to get answers for all the problems.

Hence, selective preparation is the best preparation. Those who have Physics or Mechanical Engineering as second optional can prepare for Statics, Dynamics & Hydrostatics.

Paper – II
Partial Differential Equations, Numerical Methods, Linear Programming, Complex Analysis and Real Analysis are relatively easy topics. If one prepares for these topics, 3 full questions and 8 sub questions from Question No. 1 & 5 can be answered. In total one can attempt 3 x 60 + 8 x 12 = 276 Marks.

Even if one prepares all the topics, it will be difficult to attempt for 300 marks due to lack of time. Even if one attempts all the problems, it is difficult to get answers for all the problems. Those who have Physics or Mechanical Engineering as second optional can prepare for Mechanics & Hydrodynamics.

Finally you can attempt 264+276=540 marks. Even if you get answers around 490 marks, you can expect around 350 marks after considerably tough normalization. Don’t think that knowing the method is sufficient to answer the problem in the examination hall. One should practice as many problems as possible. Do all the papers of CSE & IFS. Take as many practice tests as possible.

Practice, Practice and Practice. Go through the unsolved papers of the previous years and solve them. Try to monitor your speed. Speed is of utmost importance in this examination


Reference Books

Paper-I

Part- A
1. Linear Algebra
a) Linear Algebra by Sharma and Vashishta
b) Theory of Matrices by Sharma and Vashishta, Krishna Series.
c) B.Sc Text Books by S. Chand Publications

2. Calculus
a) Differential Calculus by Sharma and Vashishta, Krishna Series.
b) Integral Calculus by Sharma and Vashishta, Krishna Series

3. Analytical Geometry
a) Two Dimensional Geometry by S.Chand Publications, Simplified Series
b) Analytical Geometry by P.N.Chatterjee

Part – B
1. Ordinary Differential Equations
a) Ordinary Differential Equations by Rai Singhania

2. Statics, Dynamics and Hydrostatics
a) Statics by S. Chand Publications
b) Dynamics by P.N.Chatterjee.
c) Hydrostatics by S. Chand Publications.

3. Vector Calculus
a) Vector Algebra by M.L.Khanna
b) Vector Analysis by M.L.Khanna
c) B.Sc. 1st year Mathematics Textbook by S.Chand Publications

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Paper – II
Part – A
1. Algebra
a) Modern Algebra by Sharma and Vashishta. Krishna Series
b) Algebra by Herstein, John Wiley Publications

2. Real Analysis
a) B.Sc. 2nd & 3rd year Mathematics Books by S. Chand Publications
b) Real Analysis by Sharma and Vashishta, Krishna Series.
c) Real Analysis by M.L. Khanna

3. Linear Programming
a) Linear Programming by S.D.Sharma

4. Complex Analysis
a) Complex Analysis by S.P.Tyagi
b) Complex Analysis byM.L.Khanna

Part – B
1. Partial Differential Equations
a) Boundary Value Problems by Rai Singhania
b) Partial Differential Equations by Ion Sneddon

2. Numerical Methods
a) Numerical Analysis by S S Sastry, TMH Publications
b) Numerical Methods by V.Rajaramn
c) Progrmming in Basic by E.Balguruswamy, TMH Publications
d) Brilliant Tutorials Material.

3. Mechanics and Hydrodynamics
a) Mechanics by S.Chand Publications
b) Mechanics by M.L.Khanna
c) Hydrodynamics by Rai Singhania.


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