# GATE 2021 Engineering Mathematics Syllabus (Available) – Get (XE) A PDF Here

**GATE 2021 Syllabus of Mathematics** has been Released now. **GATE 2021** is a national level exam organized by** IIT Delhi.** The Engineering Graduation Skill Test (**GATE 2021**) is organized for admission to PG courses in the field of engineering and technology, specifically ME / M.Tech.

**GATE 2021** Officially Question papers have been released on the **3rd week of February 2021.** GATE 2021 Exam Date has been Announced by IIT Delhi Authority.

The **Exam **will be** held **on **1st & 2nd Week**** February 2021. **See here for complete information about the **GATE 2021 Syllabus**.

## GATE 2021 Engineering Mathematics Syllabus – PDF Released

** GATE 2021 Engineering Mathematics Syllabus has been Released. Click Here to Download PDF.**

## GATE 2021 Engineering Mathematics Syllabus

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**Section 1: 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.

**Section 2: Calculus**

* Functions of the 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.

**Section 3: Vector Calculus**

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

**Section 4: 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.

**Section 5: 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.

**Section 6: 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.

**Section 7: Probability and Statistics**

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

**Section 8: Numerical Methods**

Latest Applications For Various UG & PG Courses Open 2020:

**Shiv Nadar University**, Delhi, NCR | Admission Open 2020.**Apply Now****Bennett University**(Times Group), Admission Open for 2020.**Apply Now****Manav Rachna University**, Haryana – 2020 UG & PG Admission Open.**Apply Now****Manipal University**2020 Admission Open For UG & PG Courses.**Apply Now****UPES, Dehradun**Enroll Yourself for the Academic Year 2020.**Apply Now****LPU**, Punjab Admissions 2020 Open | Secure Your Admission Online.**Apply Now****Pearl Academy**No.1 Fashion School – Admissions Open for 2020 batch.**Apply Now****Amrita University**, Admissions Open for BTech 2020.**Apply Now****Chandigarh University**, Punjab 2020 Admission Open for all Courses.**Apply Now****Sharda University,**Admission Open 2020, Few Days left.**Apply Now****MIT World Peace University**, Admissions Open for All Courses 2019-20.**Apply Now**

A 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.

*If you any queries regarding GATE 2021 Engineering Mathematics Syllabus, you can ask your query leave comments below.*

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