### Aligarh Muslim University Entrance Exam (M. Tech) - XE-F Polymer Science and Engineering Exam Pattern

#### Exam Pattern

**Aligarh Muslim University (AMU) Competitive Entrance Exam (M.Tech) - XE-F Polymer Science and Engineering follows GATE Exam pattern **

The exam will be conducted by an ONLINE Computer Based Test (CBT). 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 are in General Aptitude (GA). In **AMU**- **XE-F Polymer Science and Engineering** 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% percentage of the total marks** is devoted to the subject of the paper.

**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).

**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.

**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).

**Engineering Mathematics and Subject Knowledge**

These papers would contain 25 questions carrying 1 mark each (sub-total 25 marks) and 30 questions carrying 2 marks each (sub-total 60 marks).

**XE Paper (Engineering Sciences)**

In XE paper, Engineering Mathematics section (Section A) is compulsory. This section contains 11 questions carrying a total of 15 marks: 7 questions carrying 1 mark each (sub-total 7 marks), and 4 questions carrying 2 marks each (sub-total 8 marks). Some questions may be of numerical answer type questions.

Each of the other sections of the XE paper (Sections B through G) contains 22 questions carrying a total of 35 marks: 9 questions carrying 1 mark each (sub-total marks) and 13 questions carrying 2 marks each (sub-total 26 marks). Some questions may be of numerical answer type.

**Note on Negative Marking for Wrong Answers**

For a wrong answer chosen for the multiple choice questions, there would be negative marking. 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. However, there is no negative marking for a wrong answer in numerical answer type questions.

**Test duration**- 3 hours

**Marking System** – For **1-mark** multiple-choice questions, **1/3 mark** will be deducted for a wrong answer. Likewise, for **2-marks** 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 | 17 |
---|---|

No. Of Unit | 20 |

No. Of Chapter | 178 |

- Limit, continuity and partial derivatives
- Directional derivative
- Total derivative
- Tangent Plane and Normal Line
- Maxima, minima and saddle points
- Method of Lagrange Multipliers
- Double and Triple Integrals

- Limit, Continuity and Differentiability
- Mean value theorems
- Indeterminate forms and L'Hospital's rule
- Maxima and minima
- Taylor's theorem
- Fundamental theorem
- Mean Value-Theorems
- Evaluation of definite and improper integrals

- Convergence of Sequence and Series
- Tests for Convergence
- Power series
- Taylor's series
- Fourier Series
- Half range Sine and Cosine Series

- Commodity and General Purpose Thermoplastics
- Engineering Plastics
- Fluoropolymers Thermosetting polymers
- Natural and Synthetic Rubbers

- Axioms of Probability
- Conditional Probability
- Bayes' Theorem
- Discrete and continuous random Variables
- Binomial, Poisson and normal Distributions
- Correlation and Linear Regression

- Polymer Compounding-Need and Significance
- Different Compounding Ingredients
- Cross-Linking and Vulcanization
- Vulcanization Kinetics

- First Order equations
- Higher Order linear differential equations
- Second Order linear differential equations
- Cauchy-Euler equation
- Legendre Polynomials
- Bessel Functions

- Algebra of matrices
- Inverse and rank of a matrix
- System of linear equations
- Determinants
- Eigenvalues and Eigenvectors
- Diagonalisation of Matrices
- Cayley-Hamilton Theorem

- Flow of Newtonian and Non-Newtonian Fluids
- Measurements of Rheological Parameters
- Visco- Elasticity-Creep
- Rubber Curing in Parallel Plate Viscometer

- Compression Molding, Transfer Molding
- Rotational Molding, Thermoforming
- Rubber Processing in Two-Roll Mill

- Method of separation of Variable
- Laplace equation
- Solutions of one dimensional heat and wave Equations

- Difference Between Blends and Composites
- Blend Miscibility-Miscible and Immiscible Blends
- Thermodynamics
- Rubber-Plastic and Rubber-Rubber Blends
- Long and Short Fibre Reinforced Composites

- Solubility and Swelling
- Concept of Average Molecular Weight
- Z-Average Molecular Weights
- Polymer Crystallinity
- Analysis of Polymers

- Numerical computation
- Numerical Estimation
- Numerical Reasoning
- Data Interpretation

- English grammar
- Sentence Completion
- Verbal Analogies
- Word Groups
- Instructions
- Critical Reasoning
- Verbal Deduction

- Gradient
- Divergence and Curl
- Line and surface integrals
- Green's theorem
- Stokes theorem and Gauss divergence theorem

- Mechanical-Static and Dynamic Tensile
- Conductivity-Thermal and Electrical
- Surface Resistivity, Volume Resistivity
- Environmental Stress Cracking Resistance

- Degree of Polymerizations
- Classification of Polymers
- Polymerization Methods
- Azeotropic Copolymerization
- Techniques for Copolymerization

- Gauss Elimination and Gauss-Seidel Methods
- Lagrange and Newton's interpolations
- Newton-Raphson method
- Trapezoidal rule
- Simpson's rule and Gaussian Quadrature Rule
- Euler's method
- 4th order Runge-Kutta method

- Analytic Functions
- Cauchy-Riemann Equations
- Line Integral
- Cauchy's Integral Theorem
- Taylor's series and Laurent Series
- Residue theorem

#### 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

**before moving on.**

**clear your basis and concepts****Prepare Notes**

It is very important ** make small notes** or a

**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.**

**comprehensive list of formulas on****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****becomes the testing ground to check students.**

**XII****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.