Aligarh Muslim University Entrance Exam (M. Tech)  MA Mathematics Exam Pattern
Exam Pattern
Aligarh Muslim University M.Tech Entrance Exam Take GATE Exam pattern for all branches that have 3 hours duration.

The question paper will consist of both Multiple choice questions (MCQ) and Numerical answer type (NAT) questions.

In all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10 questions carrying a total of 15 marks will be on General Aptitude (GA).

In the papers bearing the codes MA Mathematics, The Engineering Mathematics will carry around 15% of the total marks, the General Aptitude section will carry 15% of the total marks and the remaining 70% of the total marks is devoted to the subject of the paper.
Graduate Aptitude Test in Engineering (GATE) MA Mathematics would contain questions of two different types in various papers:
(i) Multiple Choice Questions (MCQ) carrying 1 or 2 marks each in all papers and sections. These questions are objective in nature, and each will have a choice of four answers, out of which the candidate has to mark the correct answer(s).
(ii) Numerical Answer Questions of 1 or 2 marks each in all papers and sections. For these questions the answer is a real number, to be entered by the candidate using the virtual keypad. No choices will be shown for this type of questions. The answer can be a number such as 10 (an integer only).
General Aptitude (GA) Questions
In all papers, GA questions carry a total of 15 marks. The GA section includes 5 questions carrying 1mark each (subtotal 5 marks) and 5 questions carrying 2marks each (subtotal 10 marks).
Paper  General Aptitude (GA) Questions  Subject Marks  Total Marks  Total Time 
MA Mathematics  15  85  100  3 hours 
Test Duration 3 hours
Total Marks 15+85= 100
Total Question 65
Marking System – For 1mark multiplechoice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2mark multiplechoice questions, 2/3 mark will be deducted for a wrong answer. There is NO negative marking for numerical answer type questions.
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 time table 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 rote 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 basis and concepts before moving on.
Prepare Notes
It is very important 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.
Revision of Class XI and XII concepts
Make sure that you revise your concepts from the syllabus of these classes before starting anything new as most of the engineering exams will be for admission to undergraduate courses and so the syllabi from class XI and XII becomes the testing ground to check students.
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 available for the engineering exam you’d be attempting. 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. Try to build up an Engineering Entrance Exam Test Prep MCQ Question Bank
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
The candidate who applies for admission is advised to carefully read the same and it shall be presumed that he/she agrees to abide by the same. 1. Admissions to all courses of study as detailed in this Guide are open to Indian Nationals only. Candidates having other nationalities should refer to the relevant Guide for them. 2. The intake to all courses of study as detailed in this Guide, except those specifically mentioned for AMU Centres at Malappuram, Murshidabad and/or Kishanganj, implies intake at Aligarh Muslim University, Aligarh only. However, the intake may change with the approval of the competent authority. 3. The University reserves the right not to admit any candidate to a course of study even though a notification inviting applications for admission to the same has been issued. 4. The candidate shall not be entitled to claim admission as a matter of right even if he/she is otherwise eligible. The University reserves the right to refuse admission to any individual without assigning any reason. 5. Canvassing in any manner for securing admission shall render a candidate disqualified. 6. Eligibility rules as specified for each course shall be strictly followed and shall not be relaxed under any circumstance. Candidate should satisfy himself/herself that he/she fulfills the eligibility requirements prescribed for admission to the concerned course of study. 7. A candidate shall be eligible to apply for admission to a course of study if he/she has passed the qualifying examination and also fulfills all other eligibility requirements in terms of subjects studied, percentage of marks, age, etc. The percentage of marks secured by a candidate at the qualifying examination, falling short by even a decimal fraction shall not be rounded off to the next whole number. Similarly, if the age falls short or exceeds even by a single day, the candidate shall not be eligible for admission. 8. Candidates awaiting result of qualifying examination may also apply for admission with the clear stipulation that in the event of their selection they will be entitled to admission only if they fulfill all eligibility requirements of concerned course of study at the time of admission. 9. Physically challenged candidates are provided a relaxation in age up to a maximum of five years in admission to courses which prescribe a maximum age limit, except for those courses where such limits are prescribed by statutory/regulatory councils governing such admissions. 10. Changes, if any, made in the Admission Rules and/or in the eligibility criteria from time to time, shall be applicable to candidates seeking admission in the University even after notification.