MTH641 Functional Analysis Notes, MCQs & Assignments | Query Point Official

MTH641 ||| Functional Analysis

MTH641 – Functional Analysis studies vector spaces with limits, linear operators, and norms. It is essential for applied mathematics, physics, and engineering.

Course Introduction

This course provides a rigorous foundation in Banach and Hilbert spaces, linear functionals, and operator theory with applications in differential equations and quantum mechanics.

Course Learning Objectives

• Understand normed, Banach, and Hilbert spaces
• Analyze linear operators and functionals
• Explore convergence, continuity, and compactness in function spaces
• Apply functional analysis to differential equations
• Develop advanced proof-writing skills

Major Topics / Syllabus

• Normed and Metric Spaces
• Banach and Hilbert Spaces
• Linear Operators and Functionals
• Bounded and Compact Operators
• Hahn-Banach Theorem
• Applications to Differential and Integral Equations

Practice Areas

• MCQs on functional spaces
• Short exercises on operators
• Long proof-based problems
• Application-oriented examples

Exam Preparation Tips

• Memorize key theorems and definitions
• Practice operator analysis problems
• Revise convergence and compactness proofs
• Solve past functional analysis questions

MTH641 Functional Analysis MCQs

MTH641 MCQs (click here)

MTH641 Functional Analysis Questions

MTH641 Short & Long Questions (click here)

Assignment Questions

For Assignment Questions (click here)

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