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