Relevant Portion from Recommended Booklist in Maths

Over the past few days, I have been receiving many requests regarding what to read from the maths booklist, So I giving detailed list of chapters from the recommended books :

Paper -1

1. Linear Algebra : Krishna series (by Sharma & Vashishtha) : Ch 1 and Ch 2
2. Matrices : Krishna series (by A.R Vashishtha & A.K. Vashishtha): Ch 3 to Ch 11
3. Calculas :
   1. Mathematical Analysis 4^th edition (S.C. Malik & Arora) : Ch 3, 4, 5,6,7,8,9,11,12,15,16,17,18
   2. A course of mathematical analysis ( Shanti Narayan & P.K. Mittal) : Ch 12, 13,15, 16, 17 & 18.
   3. Series integral Calculas (Krishna Series) : Ch-7, unit 1
   4. Differential calculas (S chand by Shanti narayan) : Ch15, 17
4. Analytical Geometry

• Series Analytical geometry 3D ( krishna series by A.R. Vashishtha & D.C. Agarwal) : Ch 2 to ch12

OR

•   Analytical solid geometry 7^th edition (S. Chand by Shanti Narayan) : ch-1,2,3,6,7,8,10 (till 10.5),
• For general equation of 2^nd degree, ch -11 from shanti Narayan or from any other source needs to be covered.

5. Ordinary differential equations :
   1. Ordinary & Partial Differential Equations (by M.D. Raisinghania) : Ch -1,2,3,4,5,6,7,10
   2. For Laplace transform : reading Ch1,2,3 from advance differential equation by M.D. Raisighania
6. Vector calculas (Krishna series) : All chapters
7. Statics (Krishna series) : Ch 1, 2,3,4,6,8
8. Dynamics (krishna series) : Ch 1,2,3,4,5,6,7,8.

Paper -2

1. Modern algebra :
   1. Group theory by R kumar : Ch 1, 2
   2. Ring theory by R Kumar : Ch 1, 2, 4
2. Real Analysis :
   2. Element of real analysis (S.Chand) : Ch 2(till 2.24), 3 (till 3.11), 4,5,6,7,8,9,10,11,12,13,15,16
3. Complex analysis
   1. Complex Analysis (A. R. Vasishtha, Krishna series) : Ch 2,4, 5,6, 7
4. Linear Programming
   1. Linear Programming (Krishna series by R.K. Gupta) : Ch-1,2,3,4,6,10,11
5. Partial Differential Equation
   1. Ordinary & partial differential Equation : Part III, ch 1,2,3(leave charpit method),4,5,8
6. Mechanics
   1. Rigid Dynamics Volume 1 : ch-1,2,7,9
   2. Rigid Dynamics Volume 2 : 3,4,6
7. Fluid Mechanics :
   3. Fluid mechanics (by M.D. Raisinghania) : Ch-1, 2,3 (till 3.44 page), 4, 5,7(till page 7.26), 10 (till page 10.36), ch-11, 14 (till page 14.8)

General Tips

1. If one still feels doubts, the best way to dissipate it is by seeing the syllabus and past 15 years UPSC papers
2. In mechanics & fluid mechanics, effort should be to cover as much new question as possible.
3. In general, questions at the end of chapter become tough, so if one is not able to handle them, can leave it.
4. Only that much portion should be covered which can be revised before the exam, otherwise it will not serve the purpose.