GATE Mathematics Syllabus 2026 with Topic Wise Weightage

GATE Mathematics Syllabus 2026 with Topic Wise Weightage

Edited By Jalla Venkatesh | Updated on Mar 26, 2025 05:21 PM IST | #GATE

GATE Mathematics Syllabus 2026: IIT Guwahati will publish the GATE 2026 Mathematics syllabus on the official website. Candidates can check the GATE Mathematics syllabus 2026 on this page once released. Meanwhile, students can refer to the GATE Mathematics 2026 syllabus to identify important topics for exam preparation. Aspirants must follow the GATE exam pattern and syllabus to prepare effectively for the Graduate Aptitude Test in Engineering. The authority will design the GATE Mathematics question paper based on topics mentioned in the official syllabus. Candidates should focus on the GATE Mathematics syllabus instead of unnecessary topics. The GATE 2026 exam will be conducted as a computer-based test. The direct PDF download link for the GATE 2026 syllabus will be provided here once available. For more details, candidates can refer to the GATE Mathematics syllabus 2026 provided below.

This Story also Contains
  1. GATE Mathematics Syllabus 2026
  2. GATE Mathematics Exam Pattern 2026
  3. GATE Mathematics Syllabus with Topic Wise Weightage 2026
  4. Best Books for GATE 2026 Mathematics Syllabus
  5. GATE Mathematics Syllabus 2026: Important Topics
GATE Mathematics Syllabus 2026 with Topic Wise Weightage
GATE Mathematics Syllabus 2026 with Topic Wise Weightage

GATE Mathematics Syllabus 2026

Indian Institute of Technology Guwahati will release the GATE 2026 Mathematics syllaus on the official website. Candidates can check the GATE Mathematics syllabus on this page once released. Aspirants must review the GATE Maths syllabus and begin their preparation accordingly. The syllabus for the previous year's GATE Mathematics is provided below for reference.

GATE General Aptitude Syllabus 2026 for Mathematics

ChapterTopics
GATE GA Syllabus for Verbal Aptitude
  • Basic English grammar: tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
  • Basic vocabulary: words, idioms, and phrases in context, reading and comprehension, Narrative sequencing.
GATE GA Syllabus for Quantitative Aptitude
  • Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
  • Numerical computation and estimation: ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series Mensuration and geometry Elementary statistics and probability.
GATE GA Syllabus for Analytical AptitudeLogic: deduction and induction, Analogy, Numerical relations and reasoning
GATE GA Syllabus for Spatial AptitudeTransformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping paper folding, cutting, and patterns in 2 and 3 dimensions.
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GATE Maths Syllabus 2026

Topics

Sub Topics

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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.

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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.

GATE Mathematics Syllabus for 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

GATE Mathematics Syllabus for 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

Related links:

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GATE Mathematics Exam Pattern 2026

The authority will release the exam pattern for GATE Maths on the official website. The GATE exam pattern consists of a marking scheme, mode of exam, types of questions, and more. Candidates can check the GATE Maths exam pattern 2026 below.

GATE Exam Pattern for Maths 2026

Mode of examComputer Based Test (CBT)
Duration of exam3 hours
Number of questions
  • Multiple Choice Questions (MCQs)
  • Multiple Select Questions (MSQs)
  • Numerical Answer Type (NAT) questions
Total Number of questions65 questions
Total marks100
Sections
  • General Aptitude (GA)
  • Candidates selected subject
Distribution of marks
  • General Aptitude - 15 marks
  • Subject marks - 85 marks
Marking Scheme1 mark or 2 marks
Negative marking
  • 1 mark MCQs – 1/3 mark will be deducted for every wrong answer
  • 2 mark MCQs – 2/3 mark will be deducted for every wrong answer
  • Zero marks will be awarded for unattempted questions
  • No negative marking will be done for Numerical Answer Type (NAT) questions
  • No partial marks for MSQs
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GATE Mathematics Syllabus with Topic Wise Weightage 2026

Candidates can check the GATE Mathematics topic weightage to know the topics that can help to score well in the exam. GATE Mathematics topic wise weightage is prepared based on the previous year's GATE analysis and question papers. Below is the GATE Mathematics 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%

Related links:

Best Books for GATE 2026 Mathematics Syllabus

Books are the best resource to prepare for the GATE Mathematics exam. Candidates must know the GATE Mathematics syllabus to select the best book for preparation. While selecting the best book for the GATE 2026 Mathematics syllabus, candidates must check the language is easy to understand and the topics are mentioned as per the syllabus. The books help to understand 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 2026.

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

Related links:

GATE Mathematics Syllabus 2026: Important Topics

The important topics in GATE are those topics that have a high weightage of questions in the exam. Moreover, these topics are covered almost in all exams. Based on the GATE Mathematics syllabus and the previous year question paper below are the most important topics in the GATE Mathematics syllabus.

  • Real Analysis

  • Complex Analysis

  • Functional analysis

  • Topology

  • Calculus

  • Linear Algebra

  • Linear programming

  • Real Analysis

  • Ode and Pde

  • Numerical analysis

  • Probability & Statistics

Frequently Asked Questions (FAQs)

1. When will the authorities release GATE 2026 syllabus Mathematics?

The GATE Mathematics syllabus 2026 will be released on the official website.

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

No, the GATE Maths syllabus 2026 will be 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 2026?

GATE syllabus 2026 will include three major sections viz. General Aptitude, Engineering Mathematics, and Core Engineering subjects are included at the graduation level.

5. When should I start preparing for GATE 2026?

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 2026?

Indian Institute of Technology Guwahati is conducting the GATE 2026 exam.

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Questions related to GATE

Have a question related to GATE ?

Hello,

Congratulations on your GATE 2025 performance! With a GATE score of 647 and an All India Rank (AIR) of 1078 in Civil Engineering, you have a competitive profile. Admission to the M.Tech in Structural Engineering at IIT Hyderabad is highly sought after, and the required GATE scores can vary annually based on factors like applicant pool strength, seat availability, and overall performance.

While specific cutoff scores for 2025 are not yet available, we can refer to previous years' data for insight:

  • 2024: The OBC-NCL cutoff for Structural Engineering was 689 .

  • 2023: The OBC-NCL cutoff for Structural Engineering was 723 .

These figures suggest that the cutoff scores have been relatively high in recent years. Given your score of 647, admission to IIT Hyderabad's Structural Engineering program may be challenging.

Alternative Options to Consider:

  1. Other IITs: Explore Structural Engineering programs at other IITs where the cutoff scores might align more closely with your GATE score.

  2. NITs and IIITs: Institutes like NIT Warangal , NIT Trichy , and IIIT Hyderabad offer reputable M.Tech programs in Structural Engineering with potentially more accessible cutoff scores.

  3. State Universities and Private Institutions: Consider universities such as Osmania University or JNTU Hyderabad , which have strong engineering faculties and may have different admission criteria.

Next Steps:

  • Research: Investigate the specific admission requirements and cutoff trends of the alternative institutions mentioned.

  • Application Process: Ensure you understand the application timelines and procedures for each institution, as they may differ.

While securing a seat in IIT Hyderabad's Structural Engineering program may be competitive with your current GATE score, exploring these alternative pathways can lead you to a fulfilling academic and professional journey in Civil Engineering.

Hello,

Yes, you can still apply to certain M.Tech colleges that do not require COAP for admissions. While IITs use COAP for seat allotment , many NITs, IIITs, and other institutes have their own admission processes.

What Can You Do?

1. Apply to NITs, IIITs, and Other Institutes via CCMT

  • NITs, IIITs, and some GFTIs admit M.Tech students through CCMT (Centralized Counseling for M.Tech) .

  • COAP is not required for CCMT.

  • The eligibility is based on the GATE cutoff for your category , but since you mistakenly applied as General, your score may not meet the General cutoff in some cases.

2. Apply for Direct Admissions in Private/State Universities

Some top private and state universities offer M.Tech admissions based on GATE scores but do not use COAP , such as:

  • BITS Pilani (Direct admission or written test)

  • VIT Vellore (VITMEE exam or GATE score)

  • Manipal University

  • SRM University

  • Shiv Nadar University

3. Contact IITs for Category Correction Appeal

If your score meets the OBC-NCL cutoff but not the General cutoff , you can try:

  • Contacting GATE authorities (IISc/IITs) to check if corrections are possible for COAP registration.

  • Some IITs allow category correction appeals if you provide valid proof (OBC-NCL certificate before the GATE deadline).

4. Use Your GATE Score for PSU or Other Opportunities

  • Some PSUs (Public Sector Undertakings) recruit using GATE, and their application process is separate from COAP.

  • Other M.Tech programs (like sponsored seats or self-sponsored seats ) may not strictly follow COAP rules.

Next Steps

  1. Check NIT/IIIT admission through CCMT.

  2. Look into private universities with direct M.Tech admissions.

  3. Contact IIT admission offices to ask about a correction appeal.

  4. Explore PSU or industry-based GATE opportunities.

Hi aspirant,


Yes, you are eligible to apply for the GATE exam . GATE is generally used for admission to postgraduate programs such as MTech, M.E., and M.Sc. at top institutes in India, as well as for recruitment in Public Sector Undertakings (PSUs).


By clearing GATE, you can pursue a relevant course. Since you mentioned that you already have a B.Sc. degree in Computer Science, a Master's program in Computer Science and Technology would be an excellent fit for you.


Here are the eligibility criteria to participate in GATE:


- Candidates must have a bachelor's degree in science.

- You can also apply if you are in your third year.

- There is no minimum percentage requirement.

- There is no age limit.


Here is a guide for you to prepare for the upcoming gate exam:


https://engineering.careers360.com/articles/how-to-prepare-for-gate


Good luck with your application!

Hello,

Thapar Institute of engineering and Technology (TIET) reserves 50% of its seats for candidates who have passed their qualifying examination from schools located in punjab you are 11th and 12th grades in punjab, you are eligible for the punjab state quota at TIET regardless of your permanent residency. this quota provides an advantage in the admission process for candidates who have studied imm punjab.

With a GATE score of 549 in Data Science, you have good chances of getting into several reputed institutes. Here are some colleges where you can apply:

Top Institutes with Data Science/AI Programs

1. IIT Hyderabad – M.Tech in Data Science or AI

2. IIT Guwahati – M.Tech in Data Science

3. IIT Jodhpur – M.Tech in AI and Data Science

4. IIIT Hyderabad – M.Tech in Computer Science and Information Security (with Data Science electives)

5. IIIT Bangalore – M.Tech in Data Science

6. NIT Warangal / NIT Trichy / NIT Surathkal – M.Tech in Data Science or AI

7. University of Hyderabad – M.Tech in Data Science

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