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

GATE Admit CardGATE 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

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

GATE 2021 Engineering Mathematics Syllabus

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    1. Shiv Nadar University, Delhi, NCR | Admission Open 2020. Apply Now
    2. Bennett University (Times Group), Admission Open for 2020. Apply Now
    3. Manav Rachna University, Haryana – 2020 UG & PG Admission Open. Apply Now
    4. Manipal University 2020 Admission Open For UG & PG Courses. Apply Now
    5. UPES, Dehradun Enroll Yourself for the Academic Year 2020. Apply Now
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    8. Amrita University, Admissions Open for BTech 2020. Apply Now
    9. Chandigarh University, Punjab 2020 Admission Open for all Courses. Apply Now
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    11. MIT World Peace University, Admissions Open for All Courses 2019-20. Apply Now

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:

    1. Shiv Nadar University, Delhi, NCR | Admission Open 2020. Apply Now
    2. Bennett University (Times Group), Admission Open for 2020. Apply Now
    3. Manav Rachna University, Haryana – 2020 UG & PG Admission Open. Apply Now
    4. Manipal University 2020 Admission Open For UG & PG Courses. Apply Now
    5. UPES, Dehradun Enroll Yourself for the Academic Year 2020. Apply Now
    6. LPU, Punjab Admissions 2020 Open | Secure Your Admission Online‎. Apply Now
    7. Pearl Academy No.1 Fashion School – Admissions Open for 2020 batch. Apply Now
    8. Amrita University, Admissions Open for BTech 2020. Apply Now
    9. Chandigarh University, Punjab 2020 Admission Open for all Courses. Apply Now
    10. Sharda University, Admission Open 2020, Few Days left. Apply Now
    11. 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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