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GATE Mathematics Syllabus 2024 - Download Detailed Syllabus PDF

GATE Mathematics Syllabus 2024 - Download Detailed Syllabus PDF

Edited By Isha Jain | Updated on Feb 04, 2024 07:17 PM IST | #GATE

GATE Mathematics Syllabus 2024: IISc Bangalore has released the GATE 2024 Mathematics syllabus at the official website, gate2024.iisc.ac.in. The syllabus of GATE for Mathematics 2024 will comprise topics that are important to study for GATE 2024. Candidates can check the GATE Mathematics syllabus pdf on this page. Moreover, the authority prepared the GATE Mathematics question paper based on topics mentioned in the GATE 2024 syllabus of Maths. Candidates preparing for the Graduate Aptitude Test in Engineering should follow only the topics that are mentioned on the GATE 2024 syllabus rather than focusing the unnecessary topics. Candidates can check the GATE 2024 exam date online at the official website.
Also Read: GATE question paper

Along with the syllabus, candidates must be aware of the GATE exam pattern 2024. Knowing the exam pattern of GATE Mathematics 2024 will make the candidates familiar with the structure of the paper. Moreover, candidates can practice the GATE Mathematics sample paper to boost their level of preparation and focus on the weaker sections. Candidates can check the page for the GATE Mathematics syllabus 2024.

GATE 2024 Mathematics Syllabus

Aspirants can check the GATE 2024 maths syllabus pdf below to know what topics to cover for the preparation.

GATE Maths Syllabus 2024

Topics

Sub Topics

Calculus

Functions of two or more variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; Double and Triple integrals and their applications to area, volume and surface area; Vector Calculus: gradient, divergence and curl, Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem

Linear Algebra

Finite dimensional vector spaces over real or complex fields; Linear transformations and their matrix representations, rank and nullity; systems of linear equations, characteristic polynomial, eigenvalues and eigenvectors, diagonalization, minimal polynomial, Cayley-Hamilton Theorem, Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, symmetric, skew-symmetric, Hermitian, skew-Hermitian, normal, orthogonal and unitary matrices; diagonalization by a unitary matrix, Jordan canonical form; bilinear and quadratic forms.

Real Analysis

Metric spaces, connectedness, compactness, completeness; Sequences and series of functions, uniform convergence, Ascoli-Arzela theorem; Weierstrass approximation theorem; contraction mapping principle, Power series; Differentiation of functions of several variables, Inverse and Implicit function theorems; Lebesgue measure on the real line, measurable functions; Lebesgue integral, Fatou’s lemma, monotone convergence theorem, dominated convergence theorem.

Complex Analysis

Functions of a complex variable: continuity, differentiability, analytic functions, harmonic functions; Complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle, Morera’s theorem; zeros and singularities; Power series, radius of convergence, Taylor’s series and Laurent’s series; Residue theorem and applications for evaluating real integrals; Rouche’s theorem, Argument principle, Schwarz lemma; Conformal mappings, Mobius transformations.

Ordinary Differential Equations

First order ordinary differential equations, existence and uniqueness theorems for initial value problems, linear ordinary differential equations of higher order with constant coefficients; Second order linear ordinary differential equations with variable coefficients; Cauchy-Euler equation, method of Laplace transforms for solving ordinary differential equations, series solutions (power series, Frobenius method); Legendre and Bessel functions and their orthogonal properties; Systems of linear first order ordinary differential equations, Sturm's oscillation and separation theorems, Sturm-Liouville eigenvalue problems, Planar autonomous systems of ordinary differential equations: Stability of stationary points for linear systems with constant coefficients, Linearized stability, Lyapunov functions

Algebra

Groups, subgroups, normal subgroups, quotient groups, homomorphisms, automorphisms; cyclic groups, permutation groups, Group action, Sylow’s theorems and their applications; Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domains, Principle ideal domains, Euclidean domains, polynomial rings, Eisenstein’s irreducibility criterion; Fields, finite fields, field extensions, algebraic extensions, algebraically closed fields

Functional Analysis

Normed linear spaces, Banach spaces, Hahn-Banach theorem, open mapping and closed graph theorems, principle of uniform boundedness; Inner-product spaces, Hilbert spaces, orthonormal bases, projection theorem, Riesz representation theorem, spectral theorem for compact self-adjoint operators

Numerical Analysis

Systems of linear equations: Direct methods (Gaussian elimination, LU decomposition, Cholesky factorization), Iterative methods (Gauss-Seidel and Jacobi) and their convergence for diagonally dominant coefficient matrices; Numerical solutions of nonlinear equations: bisection method, secant method, Newton-Raphson method, fixed point iteration; Interpolation: Lagrange and Newton forms of interpolating polynomial, Error in polynomial interpolation of a function; Numerical differentiation and error, Numerical integration: Trapezoidal and Simpson rules, Newton-Cotes integration formulas, composite rules, mathematical errors involved in numerical integration formulae; Numerical solution of initial value problems for ordinary differential equations: Methods of Euler, Runge-Kutta method of order 2

Partial Differential Equations

Method of characteristics for first order linear and quasilinear partial differential equations; Second order partial differential equations in two independent variables: classification and canonical forms, method of separation of variables for Laplace equation in Cartesian and polar coordinates, heat and wave equations in one space variable; Wave equation: Cauchy problem and d'Alembert formula, domains of dependence and influence, nonhomogeneous wave equation; Heat equation: Cauchy problem; Laplace and Fourier transform methods.

Topology

Basic concepts of topology, bases, subbases, subspace topology, order topology, product topology, quotient topology, metric topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma

Linear Programming

Linear programming models, convex sets, extreme points; Basic feasible solution, graphical method, simplex method, two phase methods, revised simplex method; Infeasible and unbounded linear programming models, alternate optima; Duality theory, weak duality and strong duality; Balanced and unbalanced transportation problems, Initial basic feasible solution of balanced transportation problems (least cost method, north-west corner rule, Vogel’s approximation method); Optimal solution, modified distribution method; Solving assignment problems, Hungarian method

Direct link to download GATE Mathematics syllabus
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Best Books for GATE 2024 Mathematics Syllabus

Candidates should not rely on a single resource for the preparation of the entrance test. Aspirants should refer to the best books for the preparation of tests. Books help include almost every topic mentioned in the GATE Mathematics syllabus 2024 and also help in understanding the topics in more simple steps. When the concepts are clear it becomes easy to solve the problems which will result in good scores. Below is the list of best books for GATE Mathematics syllabus 2024.

Book Name

Author Name

MADE EASY Engineering Mathematics

MADE EASY Editorial Board

GATE GENERAL APTITUDE & ENGINEERING MATHEMATICS

Trishna

Higher Engineering Mathematics

B.S. Grewal

Engineering Mathematics for GATE

T.K. Mandal and A.K. Chakraborty

GATE Mathematics

Arihant Publications

GATE Mathematics Solved Papers

Made Easy Publications

Engineering Mathematics for GATE

T.K. Mandal and A.K. Chakraborty

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GATE 2024 Mathematics Syllabus: Topic Wise Weightage

Along with the GATE syllabus for Mathematics, candidates should also check the GATE Mathematics topic-wise weightage of questions in the papers. However, the high-weightage topics list is prepared based on the previous year GATE exam analysis and question papers. Check the table for the gate 2024 MA syllabus with weightage.

Topics

Weightage in %

Vector Calculus

20%

Probability & Statistics

20%

Numerical Methods

20%

Differential Equation

10%

Calculus

10%

Linear Algebra

10%

Complex Variables

10%

GATE Mathematics Syllabus 2024: Important Topics

GATE important topics 2024 are those topics that have high weightage in the exam and are covered in almost all exams. As per the GATE exam syllabus for mathematics and previous years question paper analysis the most important topics that are covered in almost all GATE exams conducted so far are as follows.

  • Real Analysis

  • Ode and Pde

  • Topology

  • Calculus

  • Linear Algebra

  • Complex Analysis

  • Linear programming

  • Functional analysis

  • Probability & Statistics

  • Numerical analysis

  • Real Analysis

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Frequently Asked Question (FAQs)

1. When will the authorities release GATE 2024 syllabus Mathematics?

The GATE Mathematics syllabus 2024 has released along with the official brochure.

2. Can I download the GATE Maths syllabus in pdf format?

Yes, the GATE Maths syllabus 2024 is available in pdf format.

3. Is calculus included in the GATE Mathematics syllabus?

Yes, Calculus is one of the topics included in the GATE syllabus for Mathematics.

4. What is the syllabus for GATE 2024?

IISc Bangalore has released the GATE 2024 syllabus online at its official website.

5. When should I start preparing for GATE 2024?

Early preparation is the best option. Currently, candidates have plenty of months for preparation. If the candidate chooses early preparation then they will have much time for the revision. 

6. Who will take GATE 2024?

IISc Bangalore is the conducting body for GATE 2024

7. What is the GATE Mathematics syllabus for CSE?

The GATE Mathematics syllabus for CSE is as follows

  • Discrete Mathematics

  • Linear Algebra

  • Calculus

  • Probability and Statistics

8. How can I download GATE 2024 Mathematics syllabus pdf?

Candidates can download the GATE Mathematic syllabus online after the official release. 

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Questions related to GATE

Have a question related to GATE ?

Hello Student,

You will have tough chances through JOSAA counselling, yet there are chances through  West Bengal State Counselling

Hello Rajendra,

As you have scored 353 in Gate 2024, this signifies that you had done a great hard work for this entrance, and thus qualified GATE 24' successfully. But, getting into top NITs for pursuing your M.Tech in Computer Science with this score finds difficult for general candidates. Though, I would suggest you to wait till Round 4 of the counselling for NIT(Patna) for M.Tech in Data Science

Though, you can find your chances of getting a good college across India like IIITs, NSUT, etc for your master's degree in CS and other related branches like Artificial Intelligence & Data Science, by clicking on the link down below:

https://engineering.careers360.com/gate-college-predictor?utm_source=qna&utm_medium=ini-gate_cp

Hope this helps!

Hi,

With your BTech degree percentage of 84 and a GATE score of 301, along with your SC category, you have a chance to secure admission in MTech programs at some IITs, but it may not be assured in the top-ranking ones due to intense competition.

However, admissions also depend on various factors such as the number of seats available, the specific department and program you're applying to, and the preferences of the particular IIT you're interested in. Some IITs may consider your application favorably based on your category and GATE score.

Considering your GATE score of 301 and SC category, here are a few IITs and MTech courses where you might have a chance of admission:

  1. IIT Delhi:

    • MTech in Electrical Engineering
    • MTech in Mechanical Engineering
    • MTech in Civil Engineering

  2. IIT Bombay:

    • MTech in Computer Science and Engineering
    • MTech in Electrical Engineering

  3. IIT Madras:

    • MTech in Aerospace Engineering
    • MTech in Chemical Engineering
    • MTech in Biotechnology

  4. IIT Kanpur:

    • MTech in Aerospace Engineering
    • MTech in Materials Science and Engineering

It's advisable to check the respective IITs' official websites for detailed information on MTech admissions, including eligibility criteria, seat matrix, and admission procedure.

Consider using the GATE College Predictor tool provided below to get more specific information.

GATE College Predictor

https://engineering.careers360.com/gate-college-predictor?utm_source=qna&utm_medium=ini-gate_cp


Regarding SSC JE (Staff Selection Commission Junior Engineer) and SSC CGL (Combined Graduate Level) examinations:

SSC JE is conducted for recruitment to the posts of Junior Engineers in various government departments, whereas SSC CGL is conducted for recruitment to Group B and C posts in various ministries, departments, and organizations of the Government of India.

For both examinations, eligibility criteria vary depending on the specific posts and departments. Generally, a bachelor's degree in engineering is required for SSC JE, while for SSC CGL, a bachelor's degree in any discipline from a recognized university is required.

As an SC candidate, you may have certain relaxations in terms of age limits and qualifying marks in these examinations.

For detailed information on eligibility criteria, exam pattern, syllabus, and application procedures, you should refer to the official websites of SSC (Staff Selection Commission).


Thank You

Hello Aspirant,

Yes, you can definitely cope up both the arenas if you keep in mind that time management and consistency are the key. Afterall, this is the very way to success.

Being a final year B.Tech student, balancing your MERN stack coaching along with GATE 2025 Preparations can be challenging in real, but I want to share some tips to help you manage both:

  1. Create a realistic schedule where you must prioritize your Gate Preparations since it's a crucial exam. Set aside specific 1 hour for MERN stack coaching as you have decided yourself.
  2. TIME  BLOCKING : Divide your day into blocks for different activities (coaching, Gate, self study, breaks). Don't do Multitasking in between coaching and Gate Topics within the same hour.
  3. Utilize your weekends , here you can revise your MERN stack concepts and some part of the time for intensive Gate preparation.
  4. Solve GATE-related problems regularly .
  5. GATE MOCK TESTS : This is important for your self assessment. Analyze your results in it.
  6. Stay Healthy

For more informations on Gate 2025, click the link down below:

https://engineering.careers360.com/articles/gate-online-coaching

Best of luck with your Mern stack coaching and Gate 2025 preparations.



Hello Aspirant,

There are many colleges to pursue your master's in Naval Architecture and Ocean Engineering. Some of the top colleges are:

  1. Indian Institute of Technology, Delhi
  2. Indian Institute of Technology, Kharagpur
  3. Indian Institute of Technology, Madras

For more information on the brochure and admission process of every college offering this course in India, click on the link below:

https://engineering.careers360.com/colleges/list-of-naval-architecture-and-ocean-engineering-colleges-in-india

Thank You.

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