### SAAT- M.Tech - Material Science and Technology Exam Pattern

#### Exam Pattern

**Total Question- **120** **

**Total Marks - 120 x 4 = **480** **marks

**Test Duration- ** 2 Hours

**Marking System – **

- Each correct answer shall carry
**four marks**whereas each incorrect answer will lead to deduction of**one mark.** - Each unanswered question will carry
**zero**marks. - If more than one circle is darkened for one question, it will be treated as an incorrect answer and one mark will be deducted.

### Syllabus Summary

No. Of Subject | 17 |
---|---|

No. Of Unit | 24 |

No. Of Chapter | 230 |

- 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

- Corrosion
- Oxidation and Prevention

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

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

- 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

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

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

- Crystal Symmetry
- Close Packing in Solids
- Coordination and Radius Ratio Concepts
- Surface Energy and Equilibrium Shapes of Crystals

- Concept of Amorphous, Single Crystals
- Classification of Polymers, Polymerization
- Effect of Environment on Materials

- X-ray Diffraction
- Spectroscopic Techniques
- Optical and Electron Microscopy

- Powder Synthesis
- Sintering
- Chemical Methods
- Crystal Growth Techniques
- Zone Refining
- Preparation of Nanoparticles and Thin Films

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

- Phase Rule, Phase Diagrams
- Lever Rule, Basic Heat Treatment of Metal
- Solidification and Phase Transformations
- Fick’s Laws of Diffusion
- Temperature Dependence of Diffusivity

- Basics of Quantum Mechanics
- Quantum Mechanical Treatment
- Analytical Solid Geometry
- Fourier Series
- Probability and Statistics

- 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

- Stress-Strain Response of Metallic, Ceramic and Polymer Materials
- Tensile Strength and Modulus

- Free Electron Theory
- Fermi energy
- Elements of Band Theory
- Piezo, Ferro, Pyro Electric Materials

- Specific Heat, Thermal Conductivity
- Thermal expansion, Thermoelectricity

- Origin of magnetism
- Paramagnetism, Diamagnetism
- Ferro and Ferrimagnetism

- Refractive Index
- Absorption and Transmission of Electromagnetic Radiation
- Electro Optic and Magneto Optic Materials
- Spontaneous and Stimulated Emission

#### 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 basics 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****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.

**Time management**

Time management can be learnt through thorough practice and regular test taking. So it is important that you practice it and practice it well.

**Duration :**2 Hours

#### Important Instructions

The SAAT – 2016 will be held at different centres as per the schedule. The medium of examination is English. The examination hall shall be opened to the candidates half an hour before the examination commences. No candidate will be allowed to enter into the examination hall without a valid original / duplicate admits card. Candidates are required to take their respective seats at least 15 minutes before the commencement of the examination, strictly according to the sitting chart notified earlier by the Centre Superintendent. In no case, a candidate shall be allowed to enter the examination hall after the examination starts. Attendance will be taken by the invigilators on the Attendance Roll sheets provided by the Director (Admissions), with full signature of candidates against their Roll Numbers, 15 minutes before the commencement of examination. During the examination, the candidates have to enter their Roll Number, the Application Number and the Answer Sheet and also Serial Number on the Attendance Roll sheets, which shall be verified by the invigilators. No candidate will be allowed to leave the hall without surrendering his/ her question booklet and answer sheet until the examination is over. Ordinarily no candidate shall be allowed to leave the hall temporarily during the examination. Candidates suffering from any disease which renders their presence in the examination hall undesirable in the interest of other candidates will not ordinarily be allowed to enter the examination hall. Candidates are not allowed to have substitute writers, normally. Candidates should bring their own black / blue ball pens, HB pencils for writing and blackening the circles. Books, printed papers (other than their Admit Cards), manuscripts, or electronic gadgets such as mobile phones, cell phones and electronic diary calculators etc, should not be taken into the examination hall. The candidates are advised to check the perfectness the question booklet and answer sheet before attempting to answer. In case page/pages are found missing, torn or not in order, the candidates should immediately report to the invigilator and get a fresh question answer book issued after surrendering the defective ones. Candidates are not permitted to talk to each other in the examination hall. No one should receive any help from or assist another in any manner. Malpractice in any form detected during or after the examination would lead to not only cancellation of candidature but also more severe punishment as deemed fit by the SAAT–2016 committee. A candidate should write his/her roll number as assigned in his/her admit card and sign in the space provided in the question booklet and answer sheet. He/she should in no case write anywhere else on the answer sheet his/ her own name, roll number or anything else that is not strictly related to the answers to the questions given. Writing of any such thing a serious offence. The answer sheet without the candidate’s roll number clearly written in the space provided will not be examined. A candidate wishing to say anything should stand up in his/her seat and remain standing till the invigilator attends him/her. He/she should in no case leave the seat or make any noise to draw the invigilator’s attention. In any other matter not mentioned in these rules, the Centre Superintendent is empowered to take necessary decisions.