### AP PGECET - M.Tech - Nano Technology Exam Pattern

#### Exam Pattern

The **AP PGECET - M.Tech - Nano Technology** is an **offline** exam, that is a pen paper based test. The exam will be including questions based on the **Nano Technology** subjects taught at the undergraduate level.

- This Question consists of
**120**Multiple choice Objective type questions to be answered in**120**minutes. - The questions to be in English language only.
- The questions to be mostly from graduation level of the relevant field.
- Subjects:-

**Engineering Mathematics**- Related to
**Nano Technology**

**Test Duration- **120 minutes

**Test Marks** - 120

**No. of Questions** - 120

**Marking System –** Each correct answer to be given **1** mark.

### Syllabus Summary

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

No. Of Unit | 24 |

No. Of Chapter | 115 |

- 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

1. Candidates are required to apply for the APPGECET-2016 test through Online only (printed hardcopy of the applications will not be accepted). 2. The application/ registration fee for the test is Rs. 600/- (Rs 300/- in the case of SC/ST). In case a candidate wants to appear for more than one test, the separate registration fee has to be paid for each test. 3. The test is of two-hour duration with 120 multiple choice objective type questions, carrying one mark for each question. The cut-off mark in the Common Entrance Test is 25%, in the case of SC/ST, there is no minimum marks. 4. The examination will be held from 10.00 AM to 12.00 Noon in the morning session and 2.00PM to 4.00 PM for the afternoon sessions as per the Time Table given in Test Schedule.