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By: Sunil Kushwaha

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GATE 2024 Syllabus of Mathematics has been Released now. GATE 2024 is a national-level exam organized by IISc Banglore. The Engineering Graduation Skill Test (GATE 2024) is organized for admission to PG courses in engineering and technology, specifically ME / M.Tech.

GATE 2024 Officially, Question Papers will be released in February 2024. IISc Banglore Authority has announced GATE 2024 Exam Date.

The Exam will be held in February 2024. See here for complete information about the GATE 2024 Syllabus.

## GATE 2024 Engineering Mathematics Syllabus – PDF Released

GATE 2024 Engineering Mathematics Syllabus has been Released. Click to Download Gate XE Syllabus PDF.

## 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.

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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.

Latest Applications For Various UG & PG Courses Open 2024

1. Parul University | Admissions Open for All Courses 2024. Apply Now
2. UPES Dehradun | Admissions Open for All Courses 2024. Apply Now
3. Chandigarh University | Admissions Open for All Courses 2024. Apply Now
4. LPU 2024 | Admissions Open for All Courses 2024. Apply Now
5. IIAD, Delhi | Admissions Open for All Courses 2024. Apply Now
6. GIBS, Bangalore |  PGDM Applications Open. Package upto 15.5 LPA. Apply Now
7. GNIOT, Greater Noida | Admissions Open for All Courses 2023. Apply Now
8. Narayana Business School | Admissions Open for All Courses 2024. Apply Now
9. The Design Village | Admissions Open for All Courses 2024. Apply Now
10. IMS Ghaziabad UC Campus | Admissions Open for All Courses 2024. Apply Now
11. KIIT School of Management | Admissions Open for All Courses 2024. Apply Now
12. KSRM | Admissions Open for All Courses 2024. Apply Now
13. Jaipuria Institute of Management | Admissions Open for All Courses 2024. Apply Now
14. NIIT | Admissions Open for All Courses 2024. Apply Now
15. MITWPU | Admissions Open for All Courses 2024. Apply Now
16. Amrita B.Tech | Admissions Open for All Courses 2024. Apply Now
17. KL University | Admissions Open for All Courses 2024. Apply Now
18. Alliance MBA | Admissions Open for All Courses 2024. Apply Now
19. Alliance UG | Admissions Open for All Courses 2024. Apply Now

## Section 8: Numerical Methods

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 2024 Engineering Mathematics Syllabus, you can ask your query leave comments below.

Sunil Kushwaha

As a dedicated Biology Science graduate, I'm passionate about sharing the latest updates in national and state entrance exams through my blog. I aim to keep aspiring students informed about exam trends, important dates, and changes in syllabi. With a keen interest in education, I strive to offer valuable insights for students navigating the competitive landscape of entrance examinations and admission tests. Stay updated with me.