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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 1-mark each (sub-total 5 marks) and 5 questions carrying 2-marks each (sub-total 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 1-mark multiple-choice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2-mark multiple-choice 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
  1. Analytic functions
  2. Complex Integration
  3. Cauchy’s Integral Theorem and Formula
  4. Liouville’s Theorem
  5. Zeros and Singularities
  6. Taylor and Laurent’s series
  7. Residue Theorem
  1. Quotient groups and Homomorphism Theorems
  2. Automorphisms
  3. Sylow’s theorems
  4. Euclidean domains, polynomial rings
  1. Finite dimensional vector spaces
  2. Linear transformations and their matrix representations
  3. Systems of linear equations
  4. Eigenvalues and Eigenvectors
  5. Cayley-Hamilton Theorem
  6. Jordan-canonical form
  7. Hermitian, Skew- Hermitian and unitary matrices
  8. Finite dimensional inner product spaces
  9. Gram-Schmidt Orthonormalization Process
  1. Linear programming problem and its formulation
  2. Infeasible and Unbounded LPP’s
  3. Dual problem and duality Theorems
  4. Vogel’s approximation method
  5. Hungarian method
  1. First order ordinary differential equations
  2. Initial Value Problems
  3. Linear ordinary differential equations of Higher Order
  4. Linear second order ordinary differential equations
  5. Laplace transforms
  6. Frobenius method
  7. Legendre and Bessel Functions
  1. Bisection, Secant method
  2. Newton-Raphson method
  3. Interpolation
  4. Lagrange, Newton interpolations
  5. Numerical differentiation
  6. Numerical integration
  7. Trapezoidal and Simpson rules
  8. Gauss elimination, LU decomposition
  9. Jacobiand Gauss-Seidel
  10. Ordinary Differential Equations
  11. Euler’s method
  12. Runge-Kutta methods of order 2
  1. Sequences and series of functions
  2. Fourier series
  3. Maxima, Minima
  4. Riemann Integration
  5. Surface and Volume Integrals
  6. Theorems of Green, Stokes and Gauss
  7. Weierstrass approximation theorem
  8. Lebesgue measure
  9. Lebesgue integral
  10. Fatou’s lemma
  11. Dominated Convergence Theorem
  1. Linear and quasilinear first order partial differential equations
  2. Second Order Linear Equations
  3. Cauchy, Dirichlet and Neumann problems
  4. Solutions of Laplace
  5. Interior and exterior Dirichlet problems
  6. Fourier Series and Fourier Transform and Laplace transform
  1. Numerical computation
  2. Numerical Estimation
  3. Numerical Reasoning
  4. Data Interpretation
  1. English grammar
  2. Sentence Completion
  3. Verbal Analogies
  4. Word Groups
  5. Instructions
  6. Critical Reasoning
  7. Verbal Deduction
  1. Normed linear spaces, Banach spaces
  2. Hahn-Banach extension theorem
  3. Inner-product spaces
  4. Hilbert spaces
  5. Riesz representation theorem
  1. Definitions of probability and sampling theorems
  2. Discrete Random variables
  3. Continuous random variables
  4. Descriptive statistics
  5. Hypothesis testing
  1. Basic concepts of topology
  2. Subspace topology, Order topology
  3. 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.

Duration : 2 Hours

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.