Integral and Vector Calculus DNGQ82PS4S

URI	`m2://res/DNGQ82PS4S`
Kind	course
Creators	Hari Shankar Mahato (instructor)
Date	2019-05-06
Scope	in
Ids	course 03w5sq511:111105122

Expressions

e1: edition

Language	en
Date	2019-05-06

m1: page, IIT Kharagpur (record). nptel 111105122
m2: page, 2019-05-06 (record). nptel 111105122

Contents

part 1: WEEK 1
session 1: Lecture 1 : Partition, Riemann intergrability and One example
session 2: Lecture 2 : Partition, Riemann intergrability and One example (Contd.)
session 3: Lecture 3 : Condition of integrability
session 4: Lecture 4 : Theorems on Riemann integrations
session 5: Lecture 5 : Examples
part 2: WEEK 2
session 6: Lecture 06: Examples (Contd.)
session 7: Lecture 07: Reduction formula
session 8: Lecture 08: Reduction formula (Contd.)
session 9: Lecture 09: Improper Integral
session 10: Lecture 10: Improper Integral (Contd.)
part 3: WEEK 3
session 11: Lecture 11 : Improper Integral (Contd.)
session 12: Lecture 12 : Improper Integral (Contd.)
session 13: Lecture 13 : Introduction to Beta and Gamma Function
session 14: Lecture 14 : Beta and Gamma Function
session 15: Lecture 15 :Differentiation under Integral Sign
part 4: WEEK 4
session 16: Lecture 16 : Differentiation under Integral Sign (Contd.)
session 17: Lecture 17 : Double Integral
session 18: Lecture 18 : Double Integral over a Region E
session 19: Lecture 19 : Examples of Integral over a Region E
session 20: Lecture 20 : Change of variables in a Double Integral
part 5: WEEK 5
session 21: Lecture 21: Change of order of Integration
session 22: Lecture 22: Triple Integral
session 23: Lecture 23: Triple Integral (Contd.)
session 24: Lecture 24: Area of Plane Region
session 25: Lecture 25: Area of Plane Region (Contd.)
part 6: WEEK 6
session 26: Lecture 26 :Rectification
session 27: Lecture 27 : Rectification (Contd.)
session 28: Lecture 28 : Surface Integral
session 29: Lecture 29 : Surface Integral (Contd.)
session 30: Lecture 30 : Surface Integral (Contd.)
part 7: WEEK 7
session 31: Lecture 31: Volume Integral, Gauss Divergence Theorem
session 32: Lecture 32: Vector Calculus
session 33: Lecture 33: Limit, Continuity, Differentiability
session 34: Lecture 34: Successive Differentiation
session 35: Lecture 35: Integration of Vector Function
part 8: WEEK 8
session 36: Lecture 36: Gradient of a Function
session 37: Lecture 37: Divergence & Curl
session 38: Lecture 38: Divergence & Curl Examples
session 39: Lecture 39: Divergence & Curl important Identities
session 40: Lecture 40: Level Surface Relevant Theorems
part 9: WEEK 9
session 41: Lecture 41: Directional Derivative (Concept & Few Results)
session 42: Lecture 42: Directional Derivative (Concept & Few Results) (Contd.)
session 43: Lecture 43: Directional Derivatives, Level Surfaces
session 44: Lecture 44: Application to Mechanics
session 45: Lecture 45: Equation of Tangent, Unit Tangent Vector
part 10: WEEK 10
session 46: Lecture 46: Unit Normal, Unit binormal, Equation of Normal Plane
session 47: Lecture 47: Introduction and Derivation of Serret-Frenet Formula, few results
session 48: Lecture 48: Example on binormal, normal tangent, Serret-Frenet Formula
session 49: Lecture 49: Osculating Plane, Rectifying plane, Normal plane
session 50: Lecture 50: Application to Mechanics, Velocity, speed , acceleration
part 11: WEEK 11
session 51: Lecture 51: Angular Momentum, Newton's Law
session 52: Lecture 52: Example on derivation of equation of motion of particle
session 53: Lecture 53: Line Integral
session 54: Lecture 54: Surface integral
session 55: Lecture 55: Surface integral (Contd.)
part 12: WEEK 12
session 56: Lecture 56: Green's Theorem & Example
session 57: Lecture 57: Volume integral, Gauss theorem
session 58: Lecture 58: Gauss divergence theorem
session 59: Lecture 59: Stoke's Theorem
session 60: Lecture 60: Overview of Course
part 13: Live Session
session 61: Live Session 07-04-2021
session 62: Live Session 21-04-2021
session 63: Live Session 20-02-2020
session 64: Live Session 16-03-2020
session 65: Live Session 03-03-2022
session 66: Live Session 01-04-2022
session 67: Live Session 18-04-2022

Catalogue records

nptel: 111105122 (manifestation)
nptel_video: 111105122 (manifestation)