Jamia Millia Islamia Entrance Test(JMIEE)M.A./M.Sc.(Mathematics) Exam Pattern
Exam Pattern
The Jamia Millia Islamia Entrance Test(JMIEE)M.A./M.Sc.(Mathematics) the exam is an offline mode exam.

Weightage for Entrance Test — 100%

Duration of Entrance Test One Hours and 45 min.

Language of Entrance Test — Only English

100 Objective Type Multiple Choice Questions of 1 mark each.

All questions based on BA / B. Sc syllabus.
S.No. 
Test — Component 
Test Duration 
Max. Marks 
Passing Marks 
Negative Marking 
1 
PartA (Multiple Choice) 
1 hr. 45 min 
100 
 
Yes 
Test duration 1 hr. 45 min
Marking System – 1 marks each for the correct question.
Syllabus Summary
No. Of Subject  12 

No. Of Unit  13 
No. Of Chapter  85 
 Analytic functions
 Complex Integration
 Cauchy’s Integral Theorem and Formula
 Liouville’s Theorem
 Zeros and Singularities
 Taylor and Laurent’s series
 Residue Theorem
 Quotient groups and Homomorphism Theorems
 Automorphisms
 Sylow’s theorems
 Euclidean domains, polynomial rings
 Finite dimensional vector spaces
 Linear transformations and their matrix representations
 Systems of linear equations
 Eigenvalues and Eigenvectors
 CayleyHamilton Theorem
 Jordancanonical form
 Hermitian, Skew Hermitian and unitary matrices
 Finite dimensional inner product spaces
 GramSchmidt Orthonormalization Process
 Linear programming problem and its formulation
 Infeasible and Unbounded LPP’s
 Dual problem and duality Theorems
 Vogel’s approximation method
 Hungarian method
 First order ordinary differential equations
 Initial Value Problems
 Linear ordinary differential equations of Higher Order
 Linear second order ordinary differential equations
 Laplace transforms
 Frobenius method
 Legendre and Bessel Functions
 Bisection, Secant method
 NewtonRaphson method
 Interpolation
 Lagrange, Newton interpolations
 Numerical differentiation
 Numerical integration
 Trapezoidal and Simpson rules
 Gauss elimination, LU decomposition
 Jacobiand GaussSeidel
 Ordinary Differential Equations
 Euler’s method
 RungeKutta methods of order 2
 Sequences and series of functions
 Fourier series
 Maxima, Minima
 Riemann Integration
 Surface and Volume Integrals
 Theorems of Green, Stokes and Gauss
 Weierstrass approximation theorem
 Lebesgue measure
 Lebesgue integral
 Fatou’s lemma
 Dominated Convergence Theorem
 Linear and quasilinear first order partial differential equations
 Second Order Linear Equations
 Cauchy, Dirichlet and Neumann problems
 Solutions of Laplace
 Interior and exterior Dirichlet problems
 Fourier Series and Fourier Transform and Laplace transform
 Numerical computation
 Numerical Estimation
 Numerical Reasoning
 Data Interpretation
 English grammar
 Sentence Completion
 Verbal Analogies
 Word Groups
 Instructions
 Critical Reasoning
 Verbal Deduction
 Normed linear spaces, Banach spaces
 HahnBanach extension theorem
 Innerproduct spaces
 Hilbert spaces
 Riesz representation theorem
 Definitions of probability and sampling theorems
 Discrete Random variables
 Continuous random variables
 Descriptive statistics
 Hypothesis testing
 Basic concepts of topology
 Subspace topology, Order topology
 Urysohn’s Lemma
How to prepare
Preparation Strategy
Make a proper Time Table
It is very important that you make a timetable and stick to it and you will have an exact idea of what you are required to study and the time required for it.
Concept clarity rather than routes learning
It is essential that you have a clear idea of the formulas and concepts rather than rote learning of things for the papers. While you might require it for memorizing formulas it is important that for other stuff you make sure you clear your basics and concepts before moving on.
Prepare Notes
It is very important to make small notes or a comprehensive list of formulas on each covered topic and chapter which will come in handy at the time of revision. This will require you to be regular with your work but will surely make things easy at the time of revision.
Seek guidance
It is not possible for you to know everything in your syllabus, at least not at the time of preparation. Sooner or later you will run into a concept or so which will give you trouble and then it is best you seek guidance from an instructor or a teacher. It is necessary that you clear your doubts at regular intervals and don’t prolong things for long. Getting into a good coaching class is nothing to be ashamed off and if anything a regular coaching class will enable you to avoid roadblocks in your preparation.
Sample Papers
Even though there may be a complete change in the exam pattern or the expected questions altogether,it is important that you practice on the sample and previous years question papers of Science exams. You will know the existing pattern and have a fair idea of the type of questions to expect in the paper along with the time constraint.
Mock tests
The paper pattern, duration of the paper and the number of questions to be attempted in the given amount of time is not something you will be able to pick up on the day of the examination. A Mock Test tests a student’s abilities as it not only provides a similar feel of real exams but also helps in building speed and confident to face the exam. Furthermore, they can improve their performance to get an extra edge in actual exams.
Time management
Time management can be learned through thorough practice and regular test taking. So it is important that you practice it and practice it well.
Negative marking
Most the entrance examinations will have negative marking and everyone would suggest you stay clear of questions are not sure about. But some experts are of the opinion that you answer the questions in which you are confused between an option or two because there will also be a chance of getting it right.
Important Instructions
All fees are payable in single installment at the time of admission on or before the notified date. Dollars in the form of currency note/ cheque are not acceptable. Security Deposit shall be deposited in cash with the Cashier in the Accounts Office, JMI.