PrepGates

GATE MA syllabus 2027

Mathematics

A pure-mathematics paper spanning analysis, algebra and applied topics: the standard screening exam for PhD and research-fellowship admission at IITs and IISc.

Syllabus sections

Subject-wise weightage (indicative)

TopicTypical marks
General Aptitude15
Calculus13–16
Linear Algebra12–15
Real Analysis10–13
Complex Analysis8–11
Algebra7–10
Ordinary Differential Equations6–9
Numerical Analysis6–9
Partial Differential Equations5–8
Functional Analysis4–7
Topology3–6
Linear Programming3–6

Weightage is indicative, based on recent papers. It varies year to year.

About the GATE MA paper

GATE Mathematics tests the mathematics itself, not an engineering application of it. The paper covers eleven sections: Calculus, Linear Algebra, Real Analysis, Complex Analysis, Ordinary Differential Equations, Algebra, Functional Analysis, Numerical Analysis, Partial Differential Equations, Topology and Linear Programming. Several of these (Real Analysis, Algebra, Functional Analysis, Topology) are proof-based subjects taught at the depth of a university mathematics degree, not the computational “engineering maths” version that shows up in other GATE papers.

The candidate pool is genuinely split between two backgrounds. A large share are BSc/MSc Mathematics students for whom this is a natural continuation of their degree. A separate, sizeable share are engineering graduates, often from branches with a strong analytical core, who are targeting a research career or an MSc-to-PhD route and are willing to build the pure-math sections from the ground up. Both groups clear the paper regularly, but they arrive with different gaps, and a study plan that doesn’t account for which group you’re in tends to waste time re-covering material you already know while under-preparing what you don’t.

Calculus and Linear Algebra carry the largest individual shares of the 85 subject marks, with Real Analysis and Complex Analysis close behind. Topology and Linear Programming are comparatively small sections, but both are self-contained enough that a focused pass through them is usually worth more marks per hour of study than a marginal improvement in an already-strong section.

How to prepare

  1. Sort the eleven sections into “known” and “new” before making a study plan. The right starting point is different for a math-degree candidate than for an engineering-degree one, and treating all eleven sections as equally unfamiliar wastes early study time.
  2. Treat the proof-based sections as a separate track. Real Analysis, Algebra, Functional Analysis and Topology reward understanding why a theorem holds, since GATE MA questions often probe edge cases and counterexamples rather than asking for direct computation. Skimming definitions without working through proofs tends to fail on exactly these questions.
  3. Keep the computational sections fast. Calculus, Linear Algebra, ODEs and Numerical Analysis are where speed matters most: these questions are usually solvable but time-expensive if the underlying technique isn’t automatic.
  4. Run PDEs, Topology and Linear Programming as short, dedicated cycles rather than folding them into general revision. Each is compact enough to finish in a focused block, and each has a narrow, well-defined question style in past papers.
  5. Move to timed, full-length mocks only after all eleven sections are covered once, then use PYQs, both topic-wise and year-wise, to check which sections are still costing disproportionate time relative to their marks.

A note on General Aptitude

General Aptitude is worth 15 of the 100 marks on GATE MA, exactly as it is on every other GATE paper, regardless of specialization. For a paper this proof-heavy, GA questions are a useful change of pace during preparation, since they don’t require derivations or theorem recall, and the marks are earned the same way whether you’re coming from a math degree or an engineering one. Don’t leave it for the final weeks; a fixed, small weekly slot is enough to keep it sharp without taking time from the eleven core sections.

Recommended books for GATE MA

GATE MA previous year papers GATE MA study material

Frequently asked questions

What is the exam pattern for GATE MA?

65 questions for 100 marks in 3 hours: 15 marks of General Aptitude and 85 marks of core Mathematics across eleven sections, mixing MCQ, MSQ and Numerical Answer Type questions. There is negative marking on incorrect MCQs (one-third for 1-mark questions, two-thirds for 2-mark questions); MSQ and NAT questions carry none.

I have an engineering degree, not a BSc/MSc in Mathematics. Is GATE MA realistic for me?

It's attempted every year by engineering graduates, usually from branches with a heavy mathematics core, but the paper is written at BSc/MSc Mathematics depth, not engineering-mathematics depth. Real Analysis, Abstract Algebra, Functional Analysis and Topology are rarely taught at that level of rigour outside a dedicated math degree, so expect to build these largely from scratch rather than "revise" them. Linear Algebra, Complex Analysis, ODEs and Numerical Analysis are the more familiar bridge topics and are a reasonable place to start.

Which sections should a pure-math background prioritise versus an engineering background?

Math-degree candidates typically already have Real Analysis, Algebra and Topology at exam depth and mainly need to sharpen speed and the applied sections: Numerical Analysis and Linear Programming: which get thinner treatment in a pure-math curriculum than a proof-heavy course does. Engineering-degree candidates usually have the opposite gap: comfortable with Calculus, ODEs, Linear Algebra and Numerical Methods from their coursework, but needing to build Real Analysis, Algebra, Functional Analysis and Topology as close to new subjects.

Is GATE MA only useful for a PhD, or does it lead anywhere else?

PhD and integrated MSc-PhD admission at IITs, IISc and CSIR-funded institutes is the main route, and a valid score is a standard eligibility filter for those programs. It is also used for MSc admission at several IITs and for a smaller number of PSU and teaching-linked openings that accept the MA paper, but candidates should treat the research route as the primary reason to attempt this paper rather than the PSU angle that drives papers like CS or ME.