*About NET/JRF*

*About NET/JRF*

- Council of Scientific & Industrial Research (CSIR), India, a premier national R&D organization, is among the world’s largest publicly funded R&D organization. CSIR’s pioneering sustained contribution to S&T human resource development is acclaimed nationally. Human Resource Development Group (HRDG), a division of CSIR realizes this objective through various grants, fellowship schemes etc.
- The CSIR Fellowships/Associateships are tenable in Universities/IITs/Post-Graduate Colleges/Government Research Establishments including those of CSIR, R&D establishments of recognized public or private sector, industrial firms and other recognized institutions. However, CSIR reserves the right to determine the place best suited to provide necessary facilities in the area of science and technology in which the awardee is to specialize.

**CSIR JUNIOR RESEARCH FELLOWSHIP (JRF)**

A large number of JRFs are awarded each year by CSIR to candidates holding BS-4 years program/BE/B. Tech/B. Pharma/MBBS/ Integrated BS-MS/M.Sc. or Equivalent degree/BSc (Hons) or equivalent degree holders or students enrolled in integrated MS-Ph.D program with at least 55% marks for General & OBC (50% for SC/ST candidates, Physically and Visually handicapped candidates) after qualifying the National Eligibility Test ( NET) conducted by CSIR twice a year June and December.

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**APPLICATION PROCEDURE**

On-line applications for JRF-NET are invited twice a year on all India basis through press advertisement. The information with respect to inviting applications is also made available on HRDG website (www.csirhrdg.res.in).

**STIPEND & TENURE**

The stipend of a JRF selected through CSIR-UGC National Eligibility Test (NET) will be Rs 25,000/ p.m for the first two years. In addition, annual contingent grant of Rs. 20,000/- per fellow will be provided to the University / Institution.

**Important Dates**

Process | June-Exam | Dec-Exam |

Application Form | 1st Week of March | 1st Week of September |

Exam Date | 3rd Sunday of June | 3rd Sunday of December |

Result | 3rd Week of September | 3rd Week of March |

**Eligibility Requirements**

BS-4 years program/BE/B. Tech/B. Pharma/MBBS/Integrated BS-MS/M.Sc. or Equivalent degree with at least 55% marks for General & OBC (50% for SC/ST candidates,

Physically and Visually handicapped candidates) Candidate enrolled for M.Sc. or having completed 10+2+3 years of the above qualifying examination are also eligible to apply in the above subject under

the Result Awaited (RA) category on the condition that they complete the qualifying degree with requisite percentage of marks within the validity period of two years to avail the fellowship from the effective date of award.

The eligible for lectureship of NET qualified candidates will be subject to fulfilling the criteria laid down by UGC. Ph.D. degree holders who have passed Master’s degree prior to 19th September, 1991 with at least 50% marks are eligible to apply for Lectureship only.

Age Limit & Relaxation:

**The age limit for admission to the Test is as under: **For JRF (NET): Maximum 28 years (upper age limit may be relaxed up to 5 years in case of candidates belonging to SC/ST/OBC (As per GOI central list), Physically handicapped/Visually handicapped and female applicants).For Lectureship (NET): No upper age limit.

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## Guide Lines

**Previous Year Cut off**

**Minimum cut-off percentage for the award of fellowship/lecturership in the Joint CSIR-UGC test for Junior Research Fellowship & Eligibility for Lecturership:**

Year | Junior Research Fellowship (NET) | Lectureship (NET) | ||||||||

UNRESERVED | OBC | SC | ST | PwD | UNRESERVED | OBC | SC | ST | PwD | |

“JUNE-2017” | 50.38% | 42.88% | 34.13% | 25.00% | 25.00% | 45.34% | 38.59% | 30.72% | 25.00% | 25.00% |

“DEC-2016” | 59.50% | 50.00% | 39.25% | 27.63% | 26.00% | 53.55% | 45.00% | 35.33% | 25.00% | 25.00% |

“JUNE-2016” | 54.88% | 47.38% | 37.63% | 25.00% | 25.75% | 49.39% | 42.64% | 33.87% | 25.00% | 25.00% |

“DEC-2015” | 54.88% | 47.75% | 38.63% | 25.63% | 28.38% | 49.39% | 42.98% | 34.77% | 25.00% | 25.54% |

“JUNE-2015” | 52.69% | 44.06% | 38.31% | 28.75% | 27.81% | 47.42% | 39.65% | 34.48% | 25.88% | 25.03% |

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- Exam Pattern

CSIR-UGC (NET) Exam for Award of Junior Research Fellowship and Eligibility for Lecturer-ship shall be a Single Paper Test having Multiple Choice Questions (MCQs). The question paper shall be divided in three parts.

**Part ‘A’ **

This part shall carry 20 questions pertaining to General Science, Quantitative Reasoning & Analysis and Research Aptitude. The candidates shall be required to answer any 15 questions. Each question shall be of two marks. The total marks allocated to this section shall be 30 out of 200.

**Part ‘B’ **

This part shall contain 40 Multiple Choice Questions (MCQs) generally covering the topics given in the syllabus. A candidate shall be required to answer any 25 questions. Each question shall be of three marks. The total marks allocated to this section shall be 75 out of 200.

**Part ‘C’ **

This part shall contain 60 questions that are designed to test a candidate’s knowledge of scientific concepts and/or application of the scientific concepts. The questions shall be of analytical nature where a candidate is expected to apply the scientific knowledge to arrive at the solution to the given scientific problem. The questions in this part shall have multiple correct options. Credit in a question shall be given only on identification of ALL the correct options. No credit shall be allowed in a question if any incorrect option is marked as correct answer. No partial credit is allowed. A candidate shall be required to answer any 20 questions. Each question shall be of 4.75 marks. The total marks allocated to this section shall be 95 out of 200.

- For Part ‘A’ and ‘B’ there will be Negative marking @25% for each wrong answer. No Negative marking for Part ‘C’.

Model Question Paper is available on HRDG website www.csirhrdg.res.in

**Exam Analysis/and marks Distributions**

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## CSIR NET-JRF Syllabus

**UNIT–1**

**Analysis:**- Elementary set theory, finite, countable and uncountable sets,
- Real number system as a complete ordered field, Archimedean property, supremum, infimum.
- Sequences and series, convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem.
- Continuity, Monotonic functions, types of discontinuity,
- Uniform continuity,
- Differentiability, mean value theorem.
- Sequences and series of functions, Uniform convergence.
- Riemann sums and Riemann integral,
- Improper Integrals.
- Functions of bounded variation,
- Lebesgue measure, Lebesgue integral.
- Functions of several variables, directional derivative, partial derivative,
- Derivative as a linear transformation, inverse and implicit function theorems.
- Metric spaces, compactness, connectedness.
- Normed linear Spaces. Spaces of continuous functions as examples.
**Linear Algebra:**- Vector spaces, subspaces,
- Linear dependence,
- Basis, dimension,
- Algebra of linear transformations.
- Matrix representation of linear transformations. Change of basis,
- Algebra of matrices,
- Rank and determinant of matrices,
- Linear equations.
- Eigenvalues and eigenvectors, Cayley-Hamilton theorem.
- Canonical forms, Diagonal forms, triangular forms,
- Jordan forms.
- Inner product spaces, orthonormal basis.
- Quadratic forms, reduction and classification of quadratic forms

**UNIT–2**

**Complex Analysis: **

- Algebra of complex numbers, The complex plane, polynomials, power series, transcendental functions such as exponential, trigonometric and hyperbolic functions.
- Analytic functions, Cauchy-Riemann equations.
- Contour integral, Cauchy’s theorem, Cauchy’s integral formula,
- Liouville’s theorem, Maximum modulus principle,
- Schwarz lemma, Open mapping theorem.
- Taylor series, Laurent series,
- Calculus of residues.
- Conformal mappings, Mobius transformations.

**Algebra: **

- Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements.
- Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem,
- Euler’s Ø-function, primitive roots.
- Groups, subgroups,
- Cyclic groups, Permutation groups,
- Class equations,
- Normal subgroups, quotient groups,
- Homomorphisms, Cayley’s theorem,
- Sylow theorems.
- Rings, ideals, quotient rings,
- prime and maximal ideals,
- unique factorization domain,
- principal ideal domain,
- Euclidean domain.
- Polynomial rings and irreducibility criteria.
- Fields, finite fields, field extensions,
- Galois Theory.

**Topology:**

- Basis, dense sets,
- Subspace and product topology,
- Separation axioms,
- Connectedness and compactness.

**UNIT –3**

**Ordinary Differential Equations (ODEs): **

- Existence and uniqueness of solutions of initial value problems for first order ordinary differential equations,
- singular solutions of first order ODEs,
- General theory of homogenous and non-homogeneous linear ODEs,
- system of first order ODEs.
- Variation of parameters,
- Sturm-Liouville boundary value problem,
- Green’s function.

**Partial Differential Equations (PDEs): **

- Lagrange and Charpit methods for solving first order PDEs,
- Cauchy problem for first order PDEs.
- Classification of second order PDEs,
- General solution of higher order PDEs with constant coefficients,
- Method of separation of variables for Laplace, Heat and Wave equations.

**Numerical Analysis: **

- Numerical solutions of algebraic equations,
- Method of iteration and Newton-Raphson method,
- Rate of convergence,
- Solution of systems of linear algebraic equations using Gauss elimination and Gauss-Seidel methods,
- Finite differences, Lagrange, Hermite and spline interpolation,
- Numerical differentiation and integration,
- Numerical solutions of ODEs using Picard, Euler, modified Euler and Runge-Kutta methods.

**Calculus of Variations:**

** Syllabus**

- Variation of a functional, Euler-Lagrange equation,
- Necessary and sufficient conditions for extrema.
- Variational methods for boundary value problems in ordinary and partial differential equations.

**Linear Integral Equations: **

- Linear integral equation of the first and second kind of Fredholm and Volterra type,
- Solutions with separable kernels.
- Characteristic numbers and eigenfunctions,
- Resolvent kernel.

**Classical Mechanics: **

**Syllabus**

- Generalized coordinates, Lagrange’s equations,
- Hamilton’s canonical equations,
- Hamilton’s principle and principle of least action,
- Two-dimensional motion of rigid bodies,
- Euler’s dynamical equations for the motion of a rigid body about an axis,
- theory of small oscillations.

**UNIT –4 **

**Descriptive Statistics, exploratory data analysis **

- Sample space, discrete probability, independent events,
- Bayes theorem. Random variables and distribution functions (univariate and multivariate);
- expectation and moments.
- Independent random variables, marginal and conditional distributions.
- Characteristic functions. Probability inequalities (Tchebyshef, Markov, Jensen).
- Modes of convergence, weak and strong laws of large numbers,
- Central Limit theorems (i.i.d. case).
- Markov chains with finite and countable state space, classification of states,
- limiting behaviour of n-step transition probabilities,
- stationary distribution,
- Poisson and birth-and-death processes.
- Standard discrete and continuous univariate distributions.
- sampling distributions,
- standard errors and asymptotic distributions,
- distribution of order statistics and range.
- Methods of estimation, properties of estimators,
- confidence intervals. Tests of hypotheses:
- most powerful and uniformly most powerful tests, likelihood ratio tests.
- Analysis of discrete data and chi-square test of goodness of fit.
- Large sample tests. Simple nonparametric tests for one and two sample problems,
- rank correlation and test for independence.
- Elementary Bayesian inference. Gauss-Markov models,
- estimability of parameters, best linear unbiased estimators, confidence intervals,
- tests for linear hypotheses. Analysis of variance and covariance.
- Fixed, random and mixed effects models.
- Simple and multiple linear regression.
- Elementary regression diagnostics. Logistic regression.
- Multivariate normal distribution, Wishart distribution and their properties.
- Distribution of quadratic forms.
- Inference for parameters, partial and multiple correlation coefficients and related tests.
- Data reduction techniques: Principle component analysis, Discriminant analysis, Cluster analysis,
- Canonical correlation. Simple random sampling,
- stratified sampling and systematic sampling.
- Probability proportional to size sampling.
- Ratio and regression methods. Completely randomized designs,
- randomized block designs and Latin-square designs.
- Connectedness and orthogonality of block designs, BIBD. 2K factorial experiments:
- Confounding and construction.
- Hazard function and failure rates,
- Censoring and life testing, series and parallel systems.

**Linear programming problem:**

- Simplex methods, duality.
- Elementary queuing and inventory models.
- Steady-state solutions of Markovian
- queuing models: M/M/1, M/M/1 with limited waiting space,
- M/M/C, M/M/C with limited waiting space, M/G/1.

## Reference Book

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**Real Analysis**

Reference Books | |

Book Name | Book By |

Introduction to Real Analysis | Sadhan Kumar Mapa |

Introduction to Real Analysis | Donald R. Sherbert and Robert G. Bartle |

Principles of Real Analysis | S.L. Gupta ,N.R.Gupta |

Mathematical Analysis | S.C. Malik and Savitha Arora |

**Linear Algebra:**

Reference Books | |

Book Name | Book By |

Linear Algebra | Vivek Sahai, Vikas Bist |

Linear Algebra | Arnold J. Insel, Lawrence E. Spence, and Stephen H. Friedberg |

Matrices and Linear Algebra | George Phillip Barker and Hans Schneider |

Linear Algebra | Seymour Lipschutz and, Marc Lipson |

**Complex Analysis:**

Reference Books | |

Book Name | Book By |

Complex Variables: | H.S. Kasana |

Foundations of Complex Analysis | S. Ponnusamy |

Complex Variable | Murray Spiegel, Seymour Lipschutz |

Complex analysis | Jane Gilman |

**Algebra:**

** **

Reference Books | |

Book Name | Book By |

Contemporary Abstract Algebra | Joseph A. Gallian |

A Course in Abstract Algebra, | V.K. Khanna & S.K Bhamri |

Abstract Algebra | David S. Dummit, Richard M. Foote |

Fields and Galois Theory | John Mackintosh Howie |

**Topology:**

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Reference Books | |

Book Name | Book By |

Basic topology | M. A. Armstrong |

Introduction to Topology | Bert Mendelson |

Topology | James Munkres |

**Ordinary Differential Equations (ODEs):**

** **

Reference Books | |

Book Name | Book By |

Ordinary differential equations | Earl A. Coddington |

Differential Equations | Shepley L. Ross |

Essentials of ODE | Ravi Agarwal |

**Partial Differential Equations (PDEs):**

Reference Books | |

Book Name | Book By |

Ordinary & Partial Diff.Equation | M. D. Raisinghania |

Partial Differential Equations | K. Sankara Rao |

Partial Differential Equations | T. Amaranath |

**Numerical Analysis:**

** **

Reference Books | |

Book Name | Book By |

Numerical Methods | S. R. K.Iyengar,R. K. Jain, M. Kumar Jain |

Methods of Numerical Analysis | S. S. Sastry |

Numerical analysis | Kendall Atkinson |

**Calculus of Variations:**

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Reference Books | |

Book Name | Book By |

Calculus of Variations with Applications | Gupta A.S |

Calculus of variations | Israel Gelfand |

**Linear Integral Equations:**

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Reference Books | |

Book Name | Book By |

Integral Equations | Shanti Swarup |

Linear Integral Equations | Ram P. Kanwal |

linear integral equations | M.D Raisinghania |

**Classical Mechanics:**

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Reference Books | |

Book Name | Book By |

Classical Mechanics | Binoy Bhattacharyya |

Classical Mechanics | Tom W. B. Kibble and Frank H. Berkshire |

**Descriptive Statistics, exploratory data analysis**

** **

Reference Books | |

Book Name | Book By |

Fundamentals of Descriptive Statistics | Zealure C Holcomb |

Fundamentals of Mathematical Statistics | Gupta S C |

Miller & Freund’S Probability And Statistics | Richard A. Johnson |

**Linear programming problem:**

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Reference Books | |

Book Name | Book By |

Introduction to Management Science OR | Man Mohan P. K. Gupta Kanti Swarup |

Opeartions Research And Introduction | Hamdy A. Taha |

### Upcoming Batches

CSIR NET/JRF JUNE-2018

REGULAR CLASS ROOM COURES (NET-JRF JUNE-2018)

This Batch is Regular Batch, there will be Weekly 6-days classes , 15 Lecture in each Week , every week 2 Question Discussion , 1 Performance Review Test and Performance Review Test discussion.

**Important Dates **

NET/JRF REGULAR CLASS ROOM COURES JUNE-2018 | |

Registration and Application: | Open |

Batch Starts: | 22-Jan-18 |

Syllabi Complete: | 23-May-18 |

TEST SERIES : | 20-May-18 |

Exam Date: | 23-June-18 |

REVISION COURSE (NET-JRF JUNE-2018)

In This batch weekly 5-days classes. **“Main focus in this batch how to attempt Question” **This is only for repeater students. there will be Weekly 5-days classes , 10 Lecture in each Week , Every day 25 questions Discussion. Weekly Performance Review Test and Performance Review Test discussion

**Important Dates: **

NET/JRF REGULAR CLASS ROOM COURES JUNE-2018 | |

Registration and Application (Limited Seats) | Open |

Batch Starts: | 09-Feb-18 |

Syllabi Complete: | 15-May-18 |

TEST SERIES : | 20-May-18 |

Exam Date: | 23-June-18 |

CRASH COURSE (NET-JRF JUNE-2018)

This is a 40 days **crash course** In This batch weekly 6-days classes. 30 hours Lecture in each Week, every week 2 assignment discussions. Every week performance review test and performance review test discussion. This is only for repeater students:

**Important Dates **

NET/JRF REGULAR CLASS ROOM COURES JUNE-2018 | |

Registration and Application (Limited Seats) | Open |

Batch Starts: | 05-May-18 |

Syllabi Complete: | 15-June-18 |

TEST SERIES : | 20-May-18 |

Exam Date: | 23-June-18 |

#### Previous Year Papers

**Question Paper Answer Key**

**NET/JRF December 2017 NET/JRF December 2017 Key**

**NET/JRF JUNE 2017 NET/JRF JUNE 2017 Key**

**NET/JRF December 2016 NET/JRF December 2016 Key**

**NET/JRF JUNE 2016 NET/JRF JUNE 2016 Key**

**NET/JRF December 2015 NET/JRF December 2015 Key**

**NET/JRF JUNE 2015 NET/JRF JUNE 2015 Key**

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