GATE syllabus is different for each discipline. The question paper consists of 65 questions which are divided into three sections worth 100 marks and the duration of the exam is three hours. The questions are mostly fundamental, concept based and thought-provoking. GATE 2020 is scheduled to take place in the month of February i.e. 01, 02, 08 and 09 February 2020.
GATE Engineering Sciences (XE) syllabus comprises 3 sections namely- General Aptitude, Engineering Mathematics and Engineering Sciences. The weightage of General Aptitude and Engineering Mathematics is 30% and rest 70% is reserved for the chosen specialization i.e. XE in this case.
- GATE Syllabus for Engineering Sciences mostly covers the graduation level topics.
- Engineering sciences section comprises the following subjects:
- Engineering Mathematics
- Fluid mechanics
- Polymer Science and Engineering
- Solid mechanics
- Material Science
- Thermodynamics
- Food technology
- Atmospheric and Oceanic Sciences
- Participants have to choose any 2 of the above-mentioned subjects.
- Each subject (chosen ones) will carry 35 marks.
GATE is a national level exam which is held for admission to M.Tech/ Ph.D. in the field of engineering and technology. It is conducted on a rotational basis by zonal IITs and IISc Bangalore. To ace GATE 2020, one must have a clear about GATE Exam Pattern and syllabus. Candidates can check engineering sciences section syllabus in this article.
Engineering Mathematics (Compulsory)
Engineering Mathematics is a branch of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry. It is an interdisciplinary subject motivated by engineers' needs both for practical, theoretical and other considerations out with their specialization, and to deal with constraints to be effective in their work.
| Topics | Sub Topics |
|---|---|
| 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 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 sequence and series; Tests for convergence; Power series; Taylor's 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's 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. |
Direct link to download GATE Engineering Mathematics (XE-A) syllabus PDF
Engineering Mathematics Important Books
| Book Name | Author | ISBN Number |
|---|---|---|
| GATE Engineering Mathematics | Abhinav Goel, Suraj Singh | 935203550X, 978-9352035502 |
| Higher Engineering Mathematics | B.S. Grewal | 8174091955, 978-8174091956 |
| GATE 2017: Engineering Mathematics | ME Team | 9351471977, 978-9351471974 |
| A Textbook of Engineering Mathematics | Dr. Sudheer K. Srivastava, Dr. Suyash N. Mishra Dr. Vijai S. Verma | 9383758465, 978-9383758463 |
| Wiley Acing the Gate: Engineering Mathematics and General Aptitude | Anil K. Maini, Varsha Agrawal, Nakul Maini | 8126567430, 978-8126567430 |
Read How to Prepare for GATE 2020
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