28. Flux and Surface Integrals of a Vector Field | Vector Calculus | Calculus | Advanced Calculus
Автор: Mathstronauts
Загружено: 2025-12-23
Просмотров: 7
In this lecture, we study Flux and Surface Integrals in Vector Calculus with a clear, exam-oriented explanation based on Thomas Calculus.
This video is part of the AMU BSc Advanced Calculus Backlog / Crash Course Series by mathstronauts.
🔑 Topics Covered:
• Meaning of Flux in Vector Fields
• Concept of Surface Integrals
• Flux Integral over a Surface S
• Orientation of Surface and Normal Vector
• Mathematical formulation of flux
• Solved examples (exam-oriented)
• Important results from Thomas Calculus
This lecture is very useful for: ✔ AMU BSc Mathematics
✔ CU / DU / BHU / JMI students
✔ Semester exams & competitive exams
✔ Vector Calculus full preparation
📌 Book Reference: Thomas’ Calculus
📌 Chapter: Vector Calculus – Surface Integrals
👉 Watch till the end for full conceptual clarity.
⏱️ TIMESTAMPS
00:00 – Introduction
01:00 – What is a Surface Integral?
01:35 – Unit Normal Vector Concept
02:00 – Mathematical Definition of Flux Integral
02:25 – Surface Area Differential
04:48 – Example Based on Thomas Calculus
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