# Career

Avenues -
XE

Career Avenues provides excellent courses for following XE branches. See details by clicking on a specific branch.

## XE Exams

You can enrol through this website or through our app using upi, wallet payments, net-banking, debit and credit cards of most banks. If you still have a difficulty, please call or whatsapp on 9930406349 and we will assist you. After enrolment, please fill enrollment form here:

Each of us requires a different kind of study program based upon our style/preference of studying. Normally, all students take our study material and test series. Many also take video lectures as it helps them clear concepts. A lot depends upon time available to prepare, current stage of preparation, etc. If you are still unsure, please contact us.

Yes, there may be few scholarships available for students from top colleges, students with good grades, students from EWS and for students whose parents are from teaching or defence services. Pls contact us on 9930406349 via whatsapp with details of course you wish to join and scholarship category needed, along with relevant documents.

As a registered Career Avenues student, you can ask your doubts here and our faculty will get back to you.

Typically 5-6 months are required, but some students need a longer time frame based on other commitments. College students start preparation 12-18 months before GATE to have more time to practise questions as they may have semester exams as well.

We suggest about 800 to 1200 hours of preparation time overall. This can be divided into 3-4 months or 12-18 months, based on your schedule.

A good Score for GATE Engineering Science (XE) is considered to be: 55

**Steps And Strategy To Prepare For GATE Engineering Science (XE) Exam**

- Take a diagnostic test โ best diagnostic test is a GATE paper of any of the previous 3 years.
- Note down what you have scored and what was the actual GATE qualifying score cut-off. Note that qualification does not help you much. What you need is a good score. So note the good score mentioned above and measure the gap between your score and a good score.
- Note the GATE syllabus and mark your topics that you are good at. First try to master subjects that you are good at.
- However, some subjects like have a high weightage. So you should definitely prepare these.
- General Aptitude does not require preparation. It requires practice. So just practice solving Aptitude questions every day for 30 minutes.
- Mathematics may have a very high weightage. But note that to get these 6-10 marks, what you have to study and practice is typically more than a core subject. So if you wish to eliminate some topics in Maths, it is fine. Master topics that you are good at.
- Take lots of section tests and Mocks. Career Avenues provides an excellent test series for GATE Engineering Science (XE).ย
- In case you require focused GATE study material and books, you should take Career Avenues GATE Engineering Science (XE) study material which has been made by IIT alumni and is focused towards GATE.

- Being a GATE aspirant, it is very important that you first know what is the syllabus for GATE Engineering Science (XE) Examination before you start preparation.
- Keep handy the updated copy of GATE Engineering Science (XE) Examination syllabus.
- Go through the complete and updated syllabus, highlight important subjects and topics based on Past GATE Engineering Science (XE) Papers and Weightage plus your understanding of particular subject or topic.
- Keep tracking and prioritizing your preparation-to-do list and the syllabus for the GATE Engineering Science (XE) examination.

**Section XE-A: Engineering Mathematics**

**Linear Algebra:**

- Algebra of matrices
- Inverse and rank of a matrix
- System of linear equations
- Symmetric, skew-symmetric, and orthogonal matrices
- Determinants
- Eigenvalues and eigenvectors
- Diagonalisation of matrices
- Cayley-Hamilton Theorem

**Calculus: Functions of a single variable:**

- Limit, continuity, and differentiability
- Mean value theorems
- Indeterminate forms and L’Hospital’s rule
- Maxima and minima
- Taylor’s theorem
- Fundamental theorem and mean value theorems of integral calculus
- Evaluation of definite and improper integrals
- Applications of definite integrals to evaluate areas and volumes

Functions of two variables:

- 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 and their applications

Sequence and series:

- Convergence of sequences and series
- Tests for convergence
- Power series
- Taylor series
- Fourier series
- Half-range sine and cosine series

**Vector Calculus:**

- Gradient, divergence, and curl
- Line and surface integrals
- Green’s theorem, Stokes’ theorem, and Gauss’ divergence theorem (without proofs)

**Complex Variables:**

- Analytic functions
- Cauchy-Riemann equations
- Line integral, Cauchy’s integral theorem, and integral formula (without proof)
- Taylor series and Laurent series
- Residue theorem (without proof) and its applications

**Ordinary Differential Equations:**

- First-order equations (linear and nonlinear)
- Higher-order linear differential equations with constant coefficients
- Second-order linear differential equations with variable coefficients
- Method of variation of parameters
- Cauchy-Euler equation
- Power series solutions
- Legendre polynomials, Bessel functions of the first kind, and their properties

**Partial Differential Equations:**

- Classification of second-order linear partial differential equations
- Method of separation of variables
- Laplace equation
- Solutions of one-dimensional heat and wave equations

**Probability and Statistics:**

- Axioms of probability
- Conditional probability
- Bayes’ Theorem
- Discrete and continuous random variables: Binomial, Poisson, and normal distributions
- Correlation and linear regression

**Numerical Methods:**

- Solution of systems of linear equations using LU decomposition, Gauss elimination, and Gauss-Seidel methods
- Lagrange and Newton’s interpolations
- Solution of polynomial and transcendental equations by Newton-Raphson method
- Numerical integration by trapezoidal rule, Simpson’s rule, and Gaussian quadrature rule
- Numerical solutions of first-order differential equations by Euler’s method and 4th order Runge-Kutta method

**Section XE-B: Fluid Mechanics**

**Flow and Fluid Properties:**

- Viscosity
- Relationship between stress and strain-rate for Newtonian fluids
- Incompressible and compressible flows
- Differences between laminar and turbulent flows
- Hydrostatics: Buoyancy, manometry, forces on submerged bodies

**Kinematics:**

- Eulerian and Lagrangian description of fluid motion
- Concept of local and convective accelerations
- Steady and unsteady flows

**Integral Analysis:**

- Control volume analysis for mass, momentum, and energy

**Differential Analysis:**

- Differential equations of mass and momentum for incompressible flows
- Inviscid: Euler equation
- Viscous flows: Navier-Stokes equations
- Concept of fluid

Preparing for the GATE Engineering Sciences (XE) examination requires a thorough understanding of the relevant subjects and concepts. While there are several books available, here are some recommended ones for each subject in the XE syllabus:

**XE-B: Fluid Mechanics**- “An Introduction to Fluid Dynamics” by G. K. Batchelor
- “Fluid Mechanics” by L. D. Landau and E. M. Lifshitz
- “Fluid Mechanics and Its Applications” by Marcel Lesieur
- “A Textbook of Fluid Mechanics” by Suparna Mukhopadhyay

**XE-C: Materials Science**- “Materials Science and Engineering: An Introduction” by William D., Jr. Callister and David G. Rethwisch
- “Introduction to Material Science for Engineering” by James F. Shackelford
- “Fundamentals of Materials Science and Engineering: An Integrated Approach” by William D. Callister
- “Materials Science and Engineering” by V. Raghavan

**XE-D: Solid Mechanics**- “An Introduction to Mechanics of Solids” by S.H. Crandall, N.C. Dahl, and S.J. Lardner
- “Introduction to Solid Mechanics” by Shames/ Pitarresi
- “Solid Mechanics” by S.M.A. Kazimi
- “Mechanics of Materials” by Gere J. M.

**XE-E:****Thermodynamics**- “Engineering Thermodynamics” by M. Achuthan
- “Fundamentals of Engineering Thermodynamics” by M. J. Moran and H. N. Shapiro
- “Heat and Thermodynamics” by M. W. Zemansky
- “Thermodynamics: An Engineering Approach” by Yunus Cengel and Michael Boles

**XE-F: Polymer Science and Engineering**- “Fundamentals of Polymer Science and Technology” by Anshu Srivastava and Shakun Srivastava
- “Polymer Science and Technology (third edition)” by Premamoy Ghosh
- “Fundamentals of Polymer Engineering” by Neil K. Petchers, Rakesh K. Gupta, and Anil Kumar
- “Elements of Polymer Science and Engineering” by Rudin Alfred

**XE-G: Food Technology**- “Food Technology” by Neil Morris
- “Food Science and Technology” by Avantina Sharma
- “Textbook of Food Science and Technology” by D.C. Publications
- “Food Processing and Preservation” by Sivasankar

*These are just a few recommendations to get you started. It’s important to study the core concepts, solve practice questions, and refer to multiple sources to strengthen your understanding. Make sure to also refer to previous years’ GATE question papers to familiarize yourself with the exam pattern and types of questions asked.*