How can I clear CSIR-UGC NET exam in Mathematical sciences?

How can I clear CSIR-UGC NET exam in Mathematical sciences?

Most Important Parts of CSIR NET Mathematical Science

This is the  detailed answer on Quora about preparation of this exam. So I want to give this detailed answer about pattern, syllabus and preparation w

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This is the  detailed answer on Quora about preparation of this exam. So I want to give this detailed answer about pattern, syllabus and preparation with our readers about CSIR-UGC NET exam of Mathematics Science.

CSIR-UGC NET exam of Mathematics Science is divided in three parts, Part A(30 marks), Part B(75 marks) and Part C(95 marks)

Part A has 20 aptitude questions, each question is of 2 marks and one can attempt maximum 15 questions. Since this part is purely aptitude so there is no need to prepare specially for this part. Nagetive marking: 1/2 negative marks for each wrong answer.

Part B has 30 questions each of 3 marks but one can attempt maximum 25 question. Only one option is correct in this part. Negative marking: 0.75 negative marks for each wrong answer.

Part C has 60 questions each of 4.75 marks but one can attempt maximum 20 questions. In this part one or more options can be corrects, candidates have to fill all correct option(there are no partial weight-age, e.g if one question has 3 given options are correct and candidate fill only 2 bubbles out of correct option then candidate will not get any marks for this question). No negative marking in this part.

Part C has 4 units but 4th unit is statistics. So only first 3 units are of mathematics. First 3 units has 42 questions, and one has to attempt 20 question. So 3 units are more then sufficient. In particular most people do only 2 units. I always did only first 2 units and never attempted any question of 3rd unit. But if you are comfortable with all units then you can attempt questions from all units.

Since syllabus is huge so here I am writing some important topics and books unit wise.

Unit 1.

Real Analysis: Functions of several variables, Bolzano Weierstrass theorem, Heine Borel theorem. continuity, uniform continuity, mean value theorem, metric spaces, compactness, connectedness are important topics in real amalysis.

Books: 1. Bartley and Sherbert, Introduction to analysis. 2. W. Rudin, Principles of Mathematical Analysis 3. Apostol, Mathematical analysis.

Rudin is a bit difficult book so one can read function of several variables from Apostol.

Linear Algebra: Linear algebra is also high scoring and easy subject. Linear transformations, matrix representations of linear transformations, the rank and nullity theorem, the minimal polynomial, the Jordan canonical form; Inner product spaces, orthonormal bases and spectral theorem are some important topics for exam.

Books : 1. S. Axler, Linear Algebra Done Right. 2. Schuam’s series.

Unit 2.

Complex analysis: Complex analysis is most scoring subject and pattern of question asked every time is almost similar. So see the previous years question papers and prepare accordingly. More ever all students can attempt this portion whether they like pure mathematics or applied.

Books for complex : 1. Churchill and Brown, Complex Variables and Applications. 2. J. B. Conway, Functions of One Complex Variable**

Algebra: This subject has huge syllabus but important topics which almost all candidates can prepare are homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, Sylow theorems, Irreducibility criteria.

Books 1. Joseph A Gallian, Contemporary abstract algebra. 2. I. N Herstein, Topics in algebra.

Unit 3

I have never attempted 3rd unit but I am giving overview on this unit. Unit 3 has many subjects but out of them ODE, PDE and Numetical Analysis are important subjects.

Books:

  1. S. L. Ross, Differential Equations. 2. I. N. Sneddon, Elements of Partial Differential Equations. 3. K. E. Atkinson, Introduction to Numerical Analysis
  2. Now, how to prepare: Almost every time CSIR give similar problems so solving previous years question papers is important. Also, by solving papers one can evaluate himself/herself. If you have friends who are writing NET, then you should discuss problems with them. I never joined coaching for this exam but one should know by himself/herself that joining coaching is how important for him/her. If your M.Sc is from some research institute or from some IIT, then I think self preparation is better option.
  3. How to attempt exam: Time management is important in every exam so same in this exam. So it is always better to go with strategy. Exam time is 180 minutes, break this time in three parts of 90–95, 55–65 and 20–25. Question in Part C has more then one options correct so it is always better to start with part C because after solving this part concept will be clear in your mind then it is really easy to attempt part B. So solve Part C in first 90–95 minutes and then part B in next 55–65 minutes. You should attempt Part A in last and should not give more then 25 minutes. Because statements of questions in this part are really lengthy and confusing and usually candidates end with wrong conclusion and wrong answer. So avoid to waste time in this part.
  4. Since in Part A and Part B there is negative marking so don’t attempt those questions for which you are not confident from these parts .
  5. Hope it will help. All the Best.

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