CSIR NET APPLIED MATHEMATICS

CSIR-UGC (NET) Exam is a competitive exam for award of Junior Research Fellowship (JRF) and Eligibility for Lectureship. CSIR NET (MATHEMATICS) is a single test paper having Multiple Choice Questions (MCQs). CSIR NET (MATHEMATICS) question paper includes the questions from following topics: Real analysis, Linear analysis, Complex analysis, Modern algebra, Applied mathematics, Linear programming problems, General aptitude.

APPLIED MATHEMATICS: This is a part of Higher Mathematics. The questions from Applied Mathematics carry a maximum of 120 marks every year. This book covers Applied Mathematics questions asked in the test paper CSIR NET (MATHEMATICS) includes the questions from the following topics:

1. Existence and uniqueness of solutions of initial value problems for first ODEs
2. Singular solutions of first order ODEs
3. System of first order ODEs
4. General theory of homogeneous and non-homogeneous linear ODEs
5. Variation of parameters
6. Strum-Liouville boundary value problem
7. Green's function, Lagrange
8. Charpit's methods for solving first order PDEs
9. Cauchy problem for first order PDEs
10. Classification of second order PDEs
11. General solution of higher order PDEs with constant coefficients
12. Method of separation of variables for Heat, Wave, and Laplace equations
13. Laplace Equations
14. Heat Equations
15. Wave Equations
16. Linear integral Equation of the first and second kind of Fredholm and Volterra type
17. Solutions of Integral Equations with separable kernels
18. Characteristic numbers and eigen functions of Integral Equations
19. Resolvent kernel of Integral Equations
20. Variation of a function
21. Euler-Lagrange equation
22. Necessary and sufficient conditions for extrema
23. Variational methods for boundary value problems in ordinary and partial differential equations.