The IIT Guwahati has officially released the GATE Mathematics Syllabus for 2026. The GATE Mathematics Syllabus encompasses engineering mathematics and General Aptitude, covering both undergraduate and advanced topics.

The GATE Mathematics Exam is a 3-hour CBT, including 65 questions in the form of MCQs, MSQs, and NATs.

  • In the GATE Mathematics, around 60-65% of the questions will be directly based on problem-solving, and the others will be based on theoretical and analytical reasoning.
  • In the GATE Mathematics syllabus, the mathematics section carries a weightage of 85 marks out of a total of 100 marks in the exam.
  • Engineering Mathematics includes linear algebra, calculus, real analysis, complex analysis, differential equations, numerical methods, algebra, functional analysis, and topology.
  • The General Aptitude section is the same in all papers and is given a weightage of 15 marks, including verbal ability, quantitative aptitude, analytical reasoning, and spatial aptitude.
Download GATE Mathematics Syllabus PDF 2026

For all the latest updates, including the exam pattern and weightage, you should stay updated with the GATE official website, gate2026.iitg.ac.in.

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GATE Mathematics Syllabus 2026

Key Summary

In this Article, we have discussed about GATE Mathematics Syllabus 2026, including the PDF, Weightage, and Important Topics.

  • The IIT Guwahati has officially released the GATE Mathematics Syllabus PDF 2026.
  • The GATE Mathematics Exam is of 100 marks, including 65 questions, and the time duration is 3 hours each.
  • The GATE Mathematics Syllabus includes General Aptitude and Engineering Mathematics.
  • The Core mathematics section carries a weightage of 85 marks, and the general aptitude section carries a weightage of 15 marks.

What is the GATE Mathematics Syllabus 2026?

The GATE Mathematics Syllabus has been released by IIT Guwahati, including the subjects and topics that should be prepared by the candidates for the exam.

  • The GATE Mathematics syllabus covers Engineering Mathematics, Core Mathematics, and General Aptitude, which combines both fundamental and advanced undergraduate topics.
  • In the GATE Mathematics syllabus, the mathematics section carries a weightage of 85 marks out of a total of 100 marks in the exam.
  • The topics included in Engineering Mathematics are linear algebra, calculus, real analysis, complex analysis, differential equations, numerical methods, algebra, functional analysis, and topology.

GATE Mathematics Syllabus: Overview

Feature Details
Paper Code MA (Mathematics)
Exam Mode Computer-Based Test (CBT)
Duration 3 Hours
Total Marks 100
Total Questions 65
Sections 1. General Aptitude (15 marks) 2. Mathematics (85 marks)
Question Types
  • Multiple Choice Questions (MCQs)
  • Multiple Select Questions (MSQs)
  • Numerical Answer Type (NAT)
Marking Scheme
  • +1 or +2 for correct answers;
  • Negative marking for MCQs only
Difficulty Level Moderate to High (focus on advanced undergraduate Mathematics)
Key Topics Linear Algebra, Calculus, Real & Complex Analysis, Differential Equations, Algebra, Functional Analysis, Numerical Methods, Topology
Official Website GATE 2026 IIT Guwahati
GATE Mathematics Syllabus 2026

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Ques. What is the GATE Mathematics (MA) paper?

Ans. The GATE Mathematics (MA) paper is one of the 30+ subject papers conducted under the GATE 2026 exam. It assesses a candidate’s understanding of undergraduate-level mathematical concepts and is mainly for students aspiring for postgraduate studies or PSU recruitment in mathematics-related fields.

Ques. What is the total marks distribution in GATE Mathematics 2026?

Ans. The total marks distribution for GATE Mathematics 2026 is given below:

Section Marks Weightage
General Aptitude 15 15%
Mathematics (Core + Engineering Mathematics) 85 85%
Total 100 Marks 100%

Ques. What are the eligibility criteria for GATE Mathematics 2026?

Ans. The eligibility criteria for the GATE Mathematics 2026 exam are given below in the table:

Criteria Details
Educational Qualification Bachelor’s degree (3-year or 4-year) in Mathematics, Statistics, Engineering, or related field
Year of Qualification Candidates currently in the final year or completed a degree are eligible
Nationality Indian or Foreign nationals can apply

GATE Mathematics Syllabus 2026

The GATE Mathematics Syllabus 2026 covers fundamentals of Engineering Mathematics and advanced core topics.

  • The GATE Mathematics Syllabus will test candidates' ability in problem solving, logical reasoning, and theoretical understanding of UG Level Mathematics.
  • The General Aptitude section will also be covered, which will carry 15 marks and will include English, Reasoning, and Quantitative skills.
Section Sub-Topics / Key Areas
Linear Algebra MatricesSystems of linear equationsEigenvalues & eigenvectorsDiagonalizationCayley-Hamilton theorem
Calculus Limits & ContinuityDifferentiabilityMean value theoremsTaylor’s theoremMaxima & minimaIntegrationVector calculus (gradient, divergence, curl)
Real Analysis Metric spacesSequences & seriesUniform convergenceWeierstrass approximation theorem
Complex Analysis Analytic functionsCauchy-Riemann equationsCauchy’s theoremTaylor & Laurent seriesResidue theorem
Ordinary Differential Equations (ODEs) First & second-order ODEsCauchy-Euler equationsSeries solutionsLaplace transforms
Partial Differential Equations (PDEs) Classification of PDEsSeparation of variablesLaplace/heat/wave equations
Algebra GroupsRingsIdealsFields
Numerical Methods Error analysisBisection & Newton-Raphson methodsNumerical integrationSolving equations
Functional Analysis Normed spacesLinear operatorsFunction spaces
Topology Metric spacesCompactnessConnectednessProduct & quotient topologies
Probability & Statistics ProbabilityBayes’ theoremRandom variablesBinomial/Poisson/normal distributionsStatistical measures
General Aptitude (GA) Verbal abilityQuantitative aptitudeAnalytical reasoningSpatial aptitude

GATE General Aptitude Syllabus for Mathematics

In the GATE Exam, the General Aptitude section is common in all the GATE Exams, along with the main subject section.

  • It carries the weightage of 15% including analytical ability, logical reasoning, numerical skills, and English proficiency.
Section Key Topics Covered
Verbal Aptitude English grammarVocabularySentence completionSynonyms & antonymsParagraph completionWord groups
Quantitative Aptitude Basic arithmeticPercentagesRatios & AveragesProfit & lossTime & workSimple & Compound Interest
Analytical Aptitude Coding-decodingSeries completionPattern recognitionData sufficiency
Logical Reasoning PuzzlesVenn diagramsAnalogiesSeating arrangementsLogical deductions
Numerical Reasoning Data interpretationTablesGraphsChartsBasic statistics

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Ques. How should I balance preparation between Engineering mathematics and core mathematics?

Ans. The exam preparation tips so that you should balance between Engineering mathematics and core mathematics are given below:

Category Included Subjects Suggested Time Allocation Focus Type
Engineering Mathematics Linear Algebra, Calculus, ODEs, PDEs, Numerical Methods 30–35% Conceptual clarity & problem-solving practice
Core Mathematics Real Analysis, Complex Analysis, Algebra, Functional Analysis, Topology, Probability & Statistics 65–70% Theoretical understanding, proofs, and application of theorems

Ques. What strategy works best for mixed MCQ, MSQ, and NAT questions?

Ans. The strategy works best for mixed MCQs, MSQs, and NATs. Questions are given below:

Question Type Strategy
MCQs (Multiple Choice Questions) Eliminate wrong options using logic and properties.
MSQs (Multiple Select Questions) Attempt only when fully confident of all correct options.
NATs (Numerical Answer Type) Practice manual calculations and conceptual clarity.

Ques. Which topics should be prioritized for high returns?

Ans. The topics that should be prioritized for high returns are given below:

Topic Approx. Marks Nature
Linear Algebra 8–10 Conceptual + Computational
Real & Complex Analysis 10–12 Theoretical + Application
Calculus 8–10 Computation-heavy
Algebra 6–8 Theoretical
Numerical & Differential Equations 6–8 Formula-based
Topology & Functional Analysis 5–7 Abstract concepts
Probability & Statistics 3–5 Formula + Application

GATE Mathematics Syllabus 2026: Topic-Wise Weightage

The GATE Mathematics Syllabus covers different topics, but the importance of all the topics is not the same.

  • As per the previous year's analysis, the highest weightage topics are Linear Algebra, Calculus, Differential Equations, Real & Complex Analysis, and topics like Topology and functional analysis have comparatively fewer questions.

GATE Mathematics Topic-Wise Weightage (Previous Year Analysis)

  • Topics like Linear Algebra, calculus, real & complex analysis & differential equations carry 50% weightage in the exam.
  • A Few Topics, like Numerical Methods, Probability & Statistics, are asked as NAT Questions in the exam.
  • Fixed 15 marks weightage is given to the General Aptitude section, which is easily scored for candidates with regular practice.
Topic Average Weightage (Marks) Importance Level
Linear Algebra 12–15 marks Highly important- Mostly asked with direct numerical problems.
Calculus 10–12 marks High – As a mix of theory and applied problem are asked.
Real Analysis 8–10 marks High – Includes proof-based and conceptual questions.
Complex Analysis 8–10 marks High– Integration Questions are mostly asked.
ODEs (Differential Equations) 8–10 marks Moderate to High- Includes series solutions
PDEs (Partial Differential Equations) 5–7 marks Moderate – Less but tricky questions.
Algebra 5–6 marks Moderate – abstract & logical questions.
Numerical Methods 4–6 marks Moderate – usually NAT-based
Functional Analysis 3–5 marks Low to Moderate – less direct questions.
Topology 3–5 marks Low to Moderate – appear rarely but are conceptual
Probability & Statistics 4–6 marks Moderate – Formula-based questions are asked
General Aptitude (GA) 15 marks Fixed – common for all GATE papers

Ques. Which topics in Linear Algebra have the highest weightage?

Ans. The topics with the highest weightage in Linear Algebra of Engineering mathematics of the GATE 2026 exam are given below:

Key Topics Weightage
Eigenvalues & Eigenvectors 3–4 marks
Matrix Diagonalization 2–3 marks
Cayley–Hamilton Theorem 1–2 marks
Systems of Equations & Vector Spaces 2–3 marks
Total 8–10 marks

Ques. What is the approximate distribution between computational and theoretical topics?

Ans. The approximate distribution between computational and theoretical topics are given below in the table:

Topic Type Topics Included Approx. Weightage
Computational CalculusLinear AlgebraNumerical MethodsODEs/PDEs 50–55%
Theoretical Real AnalysisComplex AnalysisAlgebraFunctional AnalysisTopology 45–50%

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GATE Mathematics Syllabus: Exam Pattern

The GATE Mathematics Exam is a CBT-based exam conducted for 100 marks and to be completed in a duration of 3 hours.

  • The GATE Mathematics Exam includes both core subjects and General Aptitude Skills.
  • The Questions for GATE Mathematics will be MCQs, MSQs, and NAT-based.

GATE Mathematics (MA) Exam Pattern

The table below outlines the GATE Mathematics (MA) exam pattern for general aptitude and core math subjects with total number of questions and question types:

Section Marks Weightage No. of Questions Question Types
General Aptitude (GA) 15 marks 10 MCQ, MSQ, NAT
Mathematics (Core Subject) 85 marks 55 MCQ, MSQ, NAT
Total 100 marks 65 MCQ, MSQ, NAT
GATE Mathematics Syllabus 2026

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GATE Mathematics Syllabus 2026: Important Topics

As per the previous year's analysis, a few topics in the GATE Mathematics syllabus carry high importance.

  • Topics like Linear Algebra, Calculus, Differential Equations, Real & Complex analysis carry higher weightage in the exam.
  • By knowing the important candidates, candidates can prioritize for the exam in an effective way.

The table below shows the important topics for GATE Mathematics (MA) Syllabus for 2026 for your references:

Subject / Area Key Topics Included
Linear Algebra
  • Vector spaces
  • Eigenvalues
  • Eigenvectors
  • Matrix factorizations
Calculus
  • Limits
  • Continuity
  • Differentiability
  • Maxima-Minima
  • Multiple Integrals
Real Analysis
  • Sequences
  • Series
  • Continuity
  • Differentiability
  • Riemann Integration
Complex Analysis
  • Analytic functions
  • Cauchy’s theorem
  • Residue theorem
ODEs (Differential Equations)
  • First order
  • Higher order
  • Series solutions
  • Laplace transforms
PDEs (Partial Differential Equations)
  • Wave
  • Heat
  • Laplace equations
Numerical Methods
  • Interpolation
  • Numerical Integration
  • Linear Systems
Probability & Statistics
  • Random variables
  • Distributions
  • Moments
  • Estimation
Functional Analysis
  • Normed spaces
  • Hahn-Banach
  • Inner product spaces
Topology
  • Open/Closed sets
  • Compactness
  • Connectedness

GATE Mathematics Syllabus 2026 – Important Books

To prepare for GATE Mathematics, just the syllabus coverage is not enough; the right and important books are also required.

  • As the exam includes both applied and pure mathematics, conceptual clarity, solved examples, and practice exercises are required.

Topic-wise Important Books for GATE Mathematics 2026

The topic-wise important books for GATE Mathematics 2026 are given below for your reference:

Subject / Topic Recommended Books Author / Publisher
Linear Algebra Linear Algebra Hoffman & Kunze
Calculus Differential Calculus, Integral Calculus Shanti Narayan
Real Analysis Principles of Mathematical Analysis Walter Rudin
Complex Analysis Complex Variables and Applications Churchill & Brown
ODEs (Ordinary Differential Equations) Differential Equations Shepley L. Ross
PDEs (Partial Differential Equations) Partial Differential Equations T. Amarnath
Numerical Methods Numerical Methods S.S. Sastry
Probability & Statistics Probability & Statistics S.C. Gupta & V.K. Kapoor
Functional Analysis Introductory Functional Analysis with Applications Erwin Kreyszig
Topology Topology James R. Munkres
General Reference Higher Engineering Mathematics B.S. Grewal

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GATE Mathematics Syllabus 2026: Difficulty Level

The GATE Mathematics Exam is considered the most concept-based exam among all the subjects in GATE. Based on analysis of past 5–6 years papers, here’s a difficulty-level distribution of the syllabus:

Topic-Wise Difficulty Level in GATE Mathematics

  • Topics like Linear Algebra, Calculus, and Numerical methods are among the most scoring topics.
  • Topics like Complex Analysis, ODEs, Probability, and statistics require a balance of concept and application-based questions.
  • Around 60% of the weightage is from the moderately difficult topics, which makes them important for scoring.
Subject / Area Difficulty Level Nature of Questions Observed Trend
Linear Algebra Easy–Moderate Mostly direct, numerical, matrix-based Consistently 12–15% weightage
Calculus Moderate Concept + application-based Regular in both 1-mark & 2-mark questions
Real Analysis Moderate–Hard Proof-oriented, conceptual Concept-based and carries 10% weightage
Complex Analysis Moderate Residue theorem, Cauchy problems Often, 8–10% of paper
Differential Equations Moderate Standard solving, Laplace transform Carry 7–9% weightage
Partial Differential Equations Hard Abstract + application mix Limited questions, but tricky
Numerical Methods Easy Straightforward, formula-based Scoring section
Probability & Statistics Moderate–Hard Distribution + estimation problems Application-based, around 6–8% weightage
Functional Analysis Hard Theoretical, abstract Advanced and 5% weightage
Topology Hard Compactness, Connectedness Few questions, high conceptual demand

GATE Mathematics Previous Year Question Papers

The GATE Mathematics previous years’ question papers for your reference are given below:

Session Question Paper PDF
GATE Question Paper 2025 Check Here
GATE Question Paper 2024 Check Here
GATE Question Paper 2023 Check Here
GATE Question Paper 2022 Check Here
GATE Question Paper 2021 Check Here

Check:

GATE Mathematics Exam 2026 Preparation Tips

Some of the effective exam preparation tips for those who are preparing for GATE Mathematics exam 2026 are given below:

Area Topics to Focus Duration / Daily Time Practice Strategy
Foundational Topics
  • Calculus
  • Linear Algebra
  • Differential Equations
 3–4 hrs/day (part-time) or,6–8 hrs/day (full-time)
  • Daily problem-solving, concept clarity, previous year questions
Advanced Topics
  • Vector Calculus
  • Probability & Statistics
  • Numerical Methods
 4–5 hrs/day
  • Practice high-weightage problems and timed exercises
  • Take mock tests
Revision & Consolidation
  • Calculus
  • Linear Algebra
  • Differential Equations
  • Vector Calculus
  • Probability & Statistics
  • Numerical Methods
 3–4 hrs/day
  • Take Mock Tests
  • Analyse error log review
  • Work on weak area
Daily Practice
  • High-weightage topics across all areas
 1–2 hrs/day
  • Solve questions daily
  • Maintain error log
  • Analyse weak areas and work on that
Previous Years’ Papers
  • Questions across all topics
 2–3 hrs/session, 2–3 times/week
  • Analyze exam patterns
  • Identify important topics and practice on those
  • Practice under timed conditions

FAQs

Ques. Is Maths easy in GATE?

Ans. The GATE Mathematics difficulty depends upon the preparation level of the candidate. The Questions can be both concept-based and require deep understanding, along with rote learning.

  • The GATE Mathematics is of a Moderate to difficult level as compared to other engineering papers.
  • The GATE Mathematics requires strong problem-solving and analytical skills.

Ques. What are the total marks for GATE Math?

Ans. The GATE Mathematics Exam carries a weightage of 100 marks.

Section Marks Distribution
Mathematics Core Subjects 85 Marks
General Aptitude (GA) 15 Marks
Total 100 Marks

Ques. What is the weightage of Maths in GATE?

Ans. In the GATE Mathematics Exam, the core mathematics carries the highest weightage.

  • Mathematics: 85% (85 Marks)
  • General Aptitude: 15% (15 Marks)
Section Weightage (%) Marks
Mathematics 85% 85
General Aptitude 15% 15
Total 100% 100

Ques. Will I be provided with any white paper for rough work and calculations during the examination?

Ans. Yes, candidates will be provided with virtual sheets or scribble pads at the exam centre for doing rough work.

  • These are collected back after the exam.
  • You cannot carry your own sheets.
  • An online calculator is provided for calculations.

Ques. Can I use a physical calculator during the examination?

Ans. No, the use of physical calculators is not allowed in the GATE Examination.

Allowed Not Allowed
Virtual Scientific Calculator (on screen) Physical Calculator
Scribble pad for rough work Mobile Phones, Smart Watches

Ques. What are the benefits of the GATE Math exam?

Ans. There are different advantages to appearing in the GATE Mathematics Exam.

  • Admission to M.Sc., M.Tech., and PhD programs in IITs, IISc, NITs, and IIITs.
  • Eligibility for PSU recruitments (though limited for MA).
  • Enhances career prospects in teaching, research, and higher studies abroad.
  • Stipend/assistantship opportunities through MHRD scholarships.

Ques. How many maths questions are in GATE?

Ans. The GATE Mathematics paper consists of 55 Mathematics questions.

Section No. of Questions
Mathematics 55
General Aptitude 10
Total 65

Ques. What is the difference between GATE Maths and JEE Maths?

Ans. Both GATE Maths and JEE Maths have different scopes and difficulty levels.

Aspect GATE Mathematics JEE Mathematics
Level Postgraduate (UG level + advanced topics) Undergraduate (Class 11 & 12)
Focus Conceptual, Theoretical (Linear Algebra, Real Analysis, PDEs) Problem-Solving & Application-based
Question Type MCQs, MSQs, NAT (Concept-Based) MCQs, Integer-type (Application-based)
Difficulty Higher (research-oriented) Moderate to High (engineering entrance)

Ques. What are the main subjects covered in the GATE Mathematics syllabus?

Ans. The GATE Mathematics syllabus is divided into Engineering Mathematics and Core Mathematics.

Section Major Topics
Engineering Mathematics Linear Algebra, Calculus, Real Analysis, Complex Analysis, Differential Equations, Numerical Methods
Core Mathematics Algebra, Functional Analysis, Topology, Linear Algebra, Differential Geometry, Probability & Statistics, and others
General Aptitude Verbal Ability, Numerical Ability, Logical Reasoning, Data Interpretation