Overview

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: Existence and uniqueness of solutions of initial value problems for first ODEs Singular solutions of first order ODEs System of first order ODEs General theory of homogeneous and non-homogeneous linear ODEs Variation of parameters Strum-Liouville boundary value problem Green's function, Lagrange Charpit's 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 Heat, Wave, and Laplace equations Laplace Equations Heat Equations Wave Equations Linear integral Equation of the first and second kind of Fredholm and Volterra type Solutions of Integral Equations with separable kernels Characteristic numbers and eigen functions of Integral Equations Resolvent kernel of Integral Equations Variation of a function Euler-Lagrange equation Necessary and sufficient conditions for extrema 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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