CSIR Net Applied Mathematics
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Home > Mathematics and Science books > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > CSIR Net Applied Mathematics
CSIR Net Applied Mathematics

CSIR Net Applied Mathematics


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About the Book

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.
This book covers detailed solutions of all Applied Mathematics questions asked in CSIR NET (MATHEMATICS) test paper from June 2011 to June 2014. I designed this book with an objective to gain command over Applied Mathematics questions so that an aspirant will clear this competitive exam with flying colours. A proper use of this book will equip you to solve the questions within stipulated time. All the sets of question papers are important for practice and preparation. Solving each questions will give you a chance to assess your preparation level. Thus, for sake of practicing, it is very important not to avoid any of the question paper.
Hope this book will boost your problem solving skill within stipulated time frame.
BEST OF LUCK ! !


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Product Details
  • ISBN-13: 9798241347800
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • ISBN-10: 8241347804
  • Publisher Date: 26 Dec 2025


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