### GATE - XE-C Materials Science Exam Pattern

#### Exam Pattern

The GATE 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 **GATE**- **XE-C: Materials Science** 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 | 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 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****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 learnt 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 :**3 Hours

#### Important Instructions

Filling in Application Online 1. GOAPS: GATE Online Application Processing System (GOAPS website) has the web address http://appsgate.iisc.ernet.in It can also be accessed from the website of the respective Zonal GATE Offices or from the website of the GATE 2016 Organizing Institute. 2. Registration: A candidate must first register by providing a valid email address, mobile number and a GOAPS password. All communications from the GATE Offices will be sent to this email address (ONLY ONE PERSON CAN REGISTER WITH ONE e-mail ADDRESS). Give your personal mobile number because most of the communications may also be sent via SMS. GOAPS Password: The candidate chooses a password during Enrollment at GOAPS. This password must be remembered along with the GOAPS Enrolment ID to login to GOAPS. It is strongly encouraged to choose a password that cannot be guessed easily (it should not be the candidate’s name, date of birth, or some easily guessable string of numbers or letters like 12345 or abcd). 3. GOAPS Enrollment ID: Upon registration, an email containing the GOAPS Enrolment ID will be sent to the candidate. 4. Data Requirement for Application Filling: The following data will be required while filling the form at GOAPS. a) Personal information (name, date of birth, your personal mobile number, parents’ name, parents’ mobile number, etc.). b) Address for Communication (including PIN code), c) Eligibility degree details 13 d) College address, PIN code of college, e) GATE paper, choice of GATE examination cities, f) High quality image of your photograph conforming to the requirements specified in along with what type of photograph is accepted . g) Good quality image of your signature conforming to the requirements specified in h) Scanned copy of Degree Certificate or Certificate from Principal/HODs in pdf format. i) Scanned copy of Category/PwD Certificate (if applicable) in pdf format. j) Details of a valid ID Proof that you will carry to the examination hall. k) Your net-banking details. 5. Application Filling: The GOAPS allows you to enter data, “Save” partially filled form, “Logout”, and resume filling in by logging in again. The GOAPS portal is self-explanatory and user-friendly. Online help about using GOAPS is also available. 6. Before you make the payment, you will be shown a “Preview” of your application, where you have to carefully check for any errors. 7. Once you press “Confirm and Final Submit” button, no further changes to the application can be made by you. 8. For online payment follow the instructions given in Section for payment options. 9. Problems in Login into GOAPS –In case of forgotten user ID or password, follow instructions on the GOPAS portal to retrieve them.