Calculus for GATE CSE Exam

Calculus is an important topic for the GATE CSE exam, as it is part of the Engineering Mathematics syllabus. It carries significant weight and is essential for solving problems in computer science and engineering.

Additionally, it helps in understanding advanced computer science concepts and is frequently applied in fields like machine learning and data analysis. This article is an organised guide to prepare for Calculus for GATE CSE.

Limits

• Introduction to Limits
• How to Find Limits
• Indeterminant Forms
• L'Hôpital's Rule

Continuity and Differentiability

• Continuity of a Function
• Discontinuity
• Differentiability
• Differentiation

Mean Value Theorem

• Lagrange’s Mean Value Theorem
• Rolle’s Mean Value Theorem
• Cauchy’s Mean Value Theorem

Integration

• Integration
• Integration Formulas
• Method of Integration

Application of Derivative

• Application of Derivative
• Maxima and Minima
• Absolute Maxima and Minima
• Relative Maxima and Minima

Official Syllabus of Calculus for GATE CSE

Below is the detailed syllabus for Calculus, as outlined in the GATE CSE 2025 official notification:

• Limits
• Continuity and Differentiability
• Maxima and Minima
• Mean Value Theorem
• Integration

GATE CS/IT Subject-Wise Weightage

The subject-wise weightage for GATE CSE exam, based on the previous year patterns, is listed below:

Recommended Books

• "Higher Engineering Mathematics" by B.S. Grewal
• "Advanced Engineering Mathematics" by Erwin Kreyszig
• "Calculus" by Thomas and Finney