GATE DA Calculus and Optimization syllabus
Single-variable calculus and optimization.
About Calculus and Optimization in GATE DA
The GATE DA 2027 syllabus lists 5 topics under Calculus and Optimization.
It is one of the 7 subjects that together carry 85 of the 100 marks (Data Science & AI subjects). General Aptitude adds 15 marks and is common to every paper. The exam has 65 questions (MCQ, MSQ and NAT) in 3 hours.
See the full GATE DA syllabus for every subject and the marks distribution.
Same material in another paper
Calculus and Optimization topics
- Functions of a single variable
- Limit, continuity and differentiability
- Taylor series
- Maxima and minima
- Optimization involving a single variable
Calculus and Optimization PYQs & weightage
GATE DA 2025: 6 questions, 9 marks. Every answer is from the official final answer key. Weightage becomes more reliable as more years are added.
- 2025 · Q1410th derivative of (eˣ − e⁻ˣ)/2 at 01M · MCQ
- 2025 · Q24Which combinations of f and g are always differentiable at c?1M · MSQ
- 2025 · Q32Limit of √(t² + t) − t as t → ∞1M · NAT
- 2025 · Q49Maxima and minima of a cubic on [−8, 0]2M · MSQ
- 2025 · Q51Consequences of f″(x) > 0 everywhere2M · MSQ
- 2025 · Q59|f(x) − f(y)| ≤ (x − y)²: find f(1) − f(0)2M · NAT