Jamia Millia Islamia Entrance Exam for M.Tech. (Computational Mathematics) 2020 or JMI Entrance Exam M.Tech. (Computational Mathematics) 2020 is the entrance examination for admission to M.Tech. (Computational Mathematics). JMI Entrance Exam M.Tech. (Computational Mathematics) 2020 is conducted by Jamia Millia Islamia University.
JMI Entrance Exam M.Tech. (Computational Mathematics) for the year 2020 has been announced by Jamia Millia Islamia University and will be held on 10/10/2020. The application forms will be available from 21/02/2020 till 14/09/2020. The exam is in written mode. The duration of the exam will be 90 minutes. The result date will be announced later.
The Minimum Academic Qualifications for JMI Entrance Exam M.Tech. (Computational Mathematics.) 2020 required are that students should have passed B. E. / B. Tech from a recognized university.
The degree required for eligibility are Electronics/ Computer/ Electrical/ Mechanical/ IT.
M.Sc. in Mathematics/Applied Mathematics/ Physics/ Applied Physics/ Operational Research/ Statistics/ Computer Science/ Mathematics with Computer Science/ Bioinformatics from a recognized university.
|All Categories||55% Marks|
|Events||Start Date||Last Date|
|Application Form||21/02/2020||14/09/2020 11:55 am|
|JMI Entrance Exam M.Tech. (Computational Mathematics) 2020 Exam Date||
|Application Fee||Rs. 700/-|
General Instructions for filling up the Application Form
Students applying for the JMI Entrance Exam M.Tech. (Computational Mathematics.) 2020 have to fill up the application form on the official site.
A student can submit the application for only once; multiple forms will be rejected.
The submission is ONLINE only.
Requirements to be readied before you start filling up the Application Form of JMI Entrance Exam M.Tech. (Computational Mathematics.) 2020
Candidates are not allowed to make any correction at a later stage after submission of an application. O correction is entertained via post, fax, email or by hand.
The Usual Steps in filling up the Online Application Form of the JMI Entrance Exam M.Tech. (Computational Mathematics.) 2020
Step-1: Students have register for Online Application Form. A login and Password are created.
Step-2: Student has to Complete the Application Form and its various sections
Step-3: Required documents in the form of Scanned Images of Candidate’s Photograph, Candidate’s Signature.
Step-4: Payments have to be made by Net Banking, Credit Cards, Debit Cards & Demand Draft
Important Instructions Application Process
Syllabus for JMI Entrance Exam M.Tech. (Computational Mathematics.) 2020
Sequences and Series of Real Numbers: Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem ,Series of real numbers, absolute convergence, tests of convergence for series of positive terms , comparison test, ratio test, root test; Leibniz test for convergence of alternating serie
Functions of One and Several Variables: Limit, continuity, partial derivatives, differentiability, intermediate value property, Rolle's Theorem, Mean-value theorem, L'-Hospital rule, Taylor's theorem, maxima and minima.
Integral Calculus: Integration as the inverse process of differentiation, definite integrals and their properties, fundamental theorem of calculus, double and triple integrals, change of variables and change of order of integration.
Differential Equations: Ordinary differential equations of the first order, Bernoulli‘s equation, exact differential equations, integrating factor, orthogonal trajectories, homogeneous differential equations, linear differential equations of second order with constant coefficients, method of separation of variables, method of variation of parameters, Cauchy-Euler equation.
Vector Calculus and Linear Algebra: Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems, Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigen-values and eigenvectors for matrices, Cayley-Hamilton theorem, Finite dimensional vector spaces, linear dependence and independence of vectors, basis, dimension, linear transformations, range space, null space, rank-nullity theorem.
Fundamental of Computers Basics of Computers: generation of computers, binary, decimal numbers and conversion from binary to decimal and vice versa; Programming in C: data types, arrays, functions, pointers and structures; Data Structure: linked list, stack, queue, tree, searching and sorting algorithm.
Numerical Analysis: Numerical solution of algebraic and transcendental equations: bisection method, secant method, Newton-Raphson method, fixed point iteration method; Interpolation: Lagrange interpolation, Newton backward & forward interpolations; numerical differentiation; numerical integration: Trapezoidal and Simpson 1/3 & 3/8 rules; numerical solution of systems of linear equations: direct methods (Gauss elimination, LU decomposition); iterative methods (Jacobi and Gauss-Seidel); numerical solution of ordinary differential equations.
Probability and Statistics: Sample space, Bayes theorem, independent variable, random variables, joint and conditional probability, standard probability distributions and their properties (Binomial, Poisson, Normal, Geometric, Negative binomial, Exponential, Gamma, Continuous uniform, Bivariate normal, Multinomial), expectation, conditional expectation, moments; Weak and strong law of large numbers, central limit theorem; Testing of hypotheses, standard parametric tests based on normal, distributions; Simple linear regression.
Operation Research : Linear programming problem and its formulation, convex sets and their properties, graphical method, basic feasible solution; infeasible and unbounded LPP’s, balanced and unbalanced transportation problems; Hungarian method for solving assignment problems.
Thermodynamics and Statistical Physics Laws of thermodynamics : Macrostates and microstates; phase space; ensembles; partition function, free energy, calculation of thermodynamic quantities; classical and quantum statistics; degenerate Fermi gas; black body radiation and Planck’s distribution law; Bose‐Einstein condensation; first and second order phase transitions, phase equilibrium, critical point.
Basic Electronics Diodes; Bipolar Junction Transistors, Field Effect Transistors, amplifier and oscillator circuits; operational amplifier, active filters and oscillators; rectifier circuits, regulated power supplies; digital logic circuits, flip-flops , combinational circuits, sequential circuits, counters, registers, A/D and D/A conversion.
The Subjects included for JMI Entrance Exam M.Tech. (Computational Mathematics.) 2020 Exam are:
Syllabus Link: View/Download
Preparation for the Exam Day
Before entering the Exam Centre
After entering the centre
Result dates may be checked on the official webpage.
|Result URL||Check your result here|