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%

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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 Ansh,

Whether you can get admission in the Computer Science (CS) or Electronics and Communication Engineering (ECE) branch depends on several key factors:

  • Entrance Exam Rank/Score : Your performance in entrance exams like JEE Mains, JEE Advanced, state-level exams (like KCET, AP EAMCET, TS EAMCET), or university-specific exams plays a major role. A high rank increases your chances for CS or ECE.

  • Category and Reservation : SC, ST, OBC, EWS, or other reserved categories may have lower cut-off ranks for CS and ECE branches.

  • College Preference : Top colleges like IITs, NITs, IIITs, and top private universities have higher cut-offs for CS and ECE. Mid-tier or private colleges may offer more flexibility with lower ranks.

  • State Quota vs. All India Quota : Home state students often have a better chance under the state quota.

  • Gender-Based Quotas : Some institutions offer female-only seats or relaxed cut-offs for girls.

If you mention your entrance exam name, rank or percentile, category, and state, I can give a more specific answer.


I hope this answer helps you. If you have more queries, feel free to share your questions with us, and we will be happy to assist you.

Thank you, and I wish you all the best in your bright future.

Hello there,

Yes, you can get admission to M.Tech at CBIT without a GATE score by qualifying through TSPGECET.

  • You must have a B.Tech or equivalent degree in a related field.

  • If you have a valid TSPGECET rank, you can apply under the regular counseling process (Category A).

  • If you do not have a TSPGECET rank, you may apply under Category B (management quota), where admission is based on your qualifying degree marks and seat availability.

  • M.Tech specializations at CBIT include Computer Science Engineering, Computer Networks and Information Security, Artificial Intelligence and Data Science, and Information Technology.

  • Cutoff ranks for TSPGECET vary every year depending on competition and seats.

  • Category B admissions do not have a fixed cutoff; selection depends on merit and seat availability.

For exact cutoffs and seat details, you need to check with CBIT or the Telangana State Council of Higher Education during the admission process.


I hope this answer helps you. If you have more queries, feel free to share your questions with us, and we will be happy to assist you.

Thank you, and I wish you all the best in your bright future.

GATE BT (Biotechnology) score of 350, you have a good chance of securing admission to Delhi Technological University (DTU) for M.Tech in Biotechnology or related programs.

DTU M.Tech Admission via GATE

  1. Eligibility Criteria:

    • You must have a valid GATE score in Biotechnology (BT) or a related discipline.

    • A minimum of 60% (or equivalent CGPA) in your B.Tech/B.E (Biotech or related field) from a recognized university.

Cutoff Trends :

DTU's cutoff for GATE BT usually ranges between 300-400 (varies yearly based on competition.

Unfortunately, you've missed the GATE 2025 exam registration deadline, which was initially September 20, 2024, and later extended to October 3, 2024, for regular registration, with a late fee option available until October 7, 2024. Since the exam dates are already scheduled for February 1, 2, 15, and 16, 2025, you won't be able to apply for this year's exam.


However, here are some potential options to consider:


- Prepare for GATE 2026: You can start preparing for the next year's exam, ensuring you meet the eligibility criteria and stay updated on the application process.

- Explore other exams: Look into other entrance exams for postgraduate programs, such as those offered by individual universities or institutions.

- Check eligibility for other programs: If you're interested in pursuing a postgraduate degree, research other programs that don't require GATE scores.


To better prepare for future exams, focus on

- Understanding the syllabus: Familiarize yourself with the exam pattern, syllabus, and marking scheme.

- Creating a study plan: Develop a structured study schedule, covering all relevant topics.

- Practicing with mock tests: Regularly take practice tests to assess your knowledge and identify areas for improvement.


Keep in mind that GATE scores are valid for three years, so if you plan to take the exam in 2026, your score will be valid until 2029.

IITs that accept GATE for M.Tech:

IIT Madras, IIT Delhi, IIT Bombay, IIT Kanpur, IIT Kharagpur, IIT Roorkee, IIT Guwahati, IIT Hyderabad, and others.

NITs that accept GATE for M.Tech:

NIT Trichy, NIT Warangal, NIT Surathkal, NIT Rourkela, NIT Calicut, NIT Durgapur, NIT Jalandhar, NIT Kurukshetra, and more.

Both IITs and NITs use your GATE score for M.Tech admission through online counseling systems like COAP an d CCMT.


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