| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Lecture 1 : Partition, Riemann intergrability and One example | Download |
| 2 | Lecture 2 : Partition, Riemann intergrability and One example (Contd.) | Download |
| 3 | Lecture 3 : Condition of integrability | Download |
| 4 | Lecture 4 : Theorems on Riemann integrations | Download |
| 5 | Lecture 5 : Examples | Download |
| 6 | Lecture 06: Examples (Contd.) | Download |
| 7 | Lecture 07: Reduction formula | Download |
| 8 | Lecture 08: Reduction formula (Contd.) | Download |
| 9 | Lecture 09: Improper Integral | Download |
| 10 | Lecture 10: Improper Integral (Contd.) | Download |
| 11 | Lecture 11 : Improper Integral (Contd.) | Download |
| 12 | Lecture 12 : Improper Integral (Contd.) | Download |
| 13 | Lecture 13 : Introduction to Beta and Gamma Function | Download |
| 14 | Lecture 14 : Beta and Gamma Function | Download |
| 15 | Lecture 15 :Differentiation under Integral Sign | Download |
| 16 | Lecture 16 : Differentiation under Integral Sign (Contd.) | Download |
| 17 | Lecture 17 : Double Integral | Download |
| 18 | Lecture 18 : Double Integral over a Region E | Download |
| 19 | Lecture 19 : Examples of Integral over a Region E | Download |
| 20 | Lecture 20 : Change of variables in a Double Integral | Download |
| 21 | Lecture 21: Change of order of Integration | Download |
| 22 | Lecture 22: Triple Integral | Download |
| 23 | Lecture 23: Triple Integral (Contd.) | Download |
| 24 | Lecture 24: Area of Plane Region | Download |
| 25 | Lecture 25: Area of Plane Region (Contd.) | Download |
| 26 | Lecture 26 :Rectification | Download |
| 27 | Lecture 27 : Rectification (Contd.) | Download |
| 28 | Lecture 28 : Surface Integral | Download |
| 29 | Lecture 29 : Surface Integral (Contd.) | Download |
| 30 | Lecture 30 : Surface Integral (Contd.) | Download |
| 31 | Lecture 31: Volume Integral, Gauss Divergence Theorem | Download |
| 32 | Lecture 32: Vector Calculus | Download |
| 33 | Lecture 33: Limit, Continuity, Differentiability | Download |
| 34 | Lecture 34: Successive Differentiation | Download |
| 35 | Lecture 35: Integration of Vector Function | Download |
| 36 | Lecture 36: Gradient of a Function | Download |
| 37 | Lecture 37: Divergence & Curl | Download |
| 38 | Lecture 38: Divergence & Curl Examples | Download |
| 39 | Lecture 39: Divergence & Curl important Identities | Download |
| 40 | Lecture 40: Level Surface Relevant Theorems | Download |
| 41 | Lecture 41: Directional Derivative (Concept & Few Results) | Download |
| 42 | Lecture 42: Directional Derivative (Concept & Few Results) (Contd.) | Download |
| 43 | Lecture 43: Directional Derivatives, Level Surfaces | Download |
| 44 | Lecture 44: Application to Mechanics | Download |
| 45 | Lecture 45: Equation of Tangent, Unit Tangent Vector | Download |
| 46 | Lecture 46: Unit Normal, Unit binormal, Equation of Normal Plane | Download |
| 47 | Lecture 47: Introduction and Derivation of Serret-Frenet Formula, few results | Download |
| 48 | Lecture 48: Example on binormal, normal tangent, Serret-Frenet Formula | Download |
| 49 | Lecture 49: Osculating Plane, Rectifying plane, Normal plane | Download |
| 50 | Lecture 50: Application to Mechanics, Velocity, speed , acceleration | Download |
| 51 | Lecture 51: Angular Momentum, Newton's Law | Download |
| 52 | Lecture 52: Example on derivation of equation of motion of particle | Download |
| 53 | Lecture 53: Line Integral | Download |
| 54 | Lecture 54: Surface integral | Download |
| 55 | Lecture 55: Surface integral (Contd.) | Download |
| 56 | Lecture 56: Green's Theorem & Example | Download |
| 57 | Lecture 57: Volume integral, Gauss theorem | Download |
| 58 | Lecture 58: Gauss divergence theorem | Download |
| 59 | Lecture 59: Stoke's Theorem | Download |
| 60 | Lecture 60: Overview of Course | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Lecture 1 : Partition, Riemann intergrability and One example | Download Verified |
| 2 | Lecture 2 : Partition, Riemann intergrability and One example (Contd.) | Download Verified |
| 3 | Lecture 3 : Condition of integrability | Download Verified |
| 4 | Lecture 4 : Theorems on Riemann integrations | Download Verified |
| 5 | Lecture 5 : Examples | Download Verified |
| 6 | Lecture 06: Examples (Contd.) | Download Verified |
| 7 | Lecture 07: Reduction formula | Download Verified |
| 8 | Lecture 08: Reduction formula (Contd.) | Download Verified |
| 9 | Lecture 09: Improper Integral | Download Verified |
| 10 | Lecture 10: Improper Integral (Contd.) | Download Verified |
| 11 | Lecture 11 : Improper Integral (Contd.) | Download Verified |
| 12 | Lecture 12 : Improper Integral (Contd.) | Download Verified |
| 13 | Lecture 13 : Introduction to Beta and Gamma Function | Download Verified |
| 14 | Lecture 14 : Beta and Gamma Function | Download Verified |
| 15 | Lecture 15 :Differentiation under Integral Sign | Download Verified |
| 16 | Lecture 16 : Differentiation under Integral Sign (Contd.) | Download Verified |
| 17 | Lecture 17 : Double Integral | Download Verified |
| 18 | Lecture 18 : Double Integral over a Region E | Download Verified |
| 19 | Lecture 19 : Examples of Integral over a Region E | Download Verified |
| 20 | Lecture 20 : Change of variables in a Double Integral | Download Verified |
| 21 | Lecture 21: Change of order of Integration | Download Verified |
| 22 | Lecture 22: Triple Integral | Download Verified |
| 23 | Lecture 23: Triple Integral (Contd.) | Download Verified |
| 24 | Lecture 24: Area of Plane Region | Download Verified |
| 25 | Lecture 25: Area of Plane Region (Contd.) | Download Verified |
| 26 | Lecture 26 :Rectification | Download Verified |
| 27 | Lecture 27 : Rectification (Contd.) | Download Verified |
| 28 | Lecture 28 : Surface Integral | Download Verified |
| 29 | Lecture 29 : Surface Integral (Contd.) | Download Verified |
| 30 | Lecture 30 : Surface Integral (Contd.) | Download Verified |
| 31 | Lecture 31: Volume Integral, Gauss Divergence Theorem | Download Verified |
| 32 | Lecture 32: Vector Calculus | Download Verified |
| 33 | Lecture 33: Limit, Continuity, Differentiability | Download Verified |
| 34 | Lecture 34: Successive Differentiation | Download Verified |
| 35 | Lecture 35: Integration of Vector Function | Download Verified |
| 36 | Lecture 36: Gradient of a Function | Download Verified |
| 37 | Lecture 37: Divergence & Curl | Download Verified |
| 38 | Lecture 38: Divergence & Curl Examples | Download Verified |
| 39 | Lecture 39: Divergence & Curl important Identities | Download Verified |
| 40 | Lecture 40: Level Surface Relevant Theorems | Download Verified |
| 41 | Lecture 41: Directional Derivative (Concept & Few Results) | Download Verified |
| 42 | Lecture 42: Directional Derivative (Concept & Few Results) (Contd.) | Download Verified |
| 43 | Lecture 43: Directional Derivatives, Level Surfaces | Download Verified |
| 44 | Lecture 44: Application to Mechanics | Download Verified |
| 45 | Lecture 45: Equation of Tangent, Unit Tangent Vector | Download Verified |
| 46 | Lecture 46: Unit Normal, Unit binormal, Equation of Normal Plane | Download Verified |
| 47 | Lecture 47: Introduction and Derivation of Serret-Frenet Formula, few results | Download Verified |
| 48 | Lecture 48: Example on binormal, normal tangent, Serret-Frenet Formula | Download Verified |
| 49 | Lecture 49: Osculating Plane, Rectifying plane, Normal plane | Download Verified |
| 50 | Lecture 50: Application to Mechanics, Velocity, speed , acceleration | Download Verified |
| 51 | Lecture 51: Angular Momentum, Newton's Law | Download Verified |
| 52 | Lecture 52: Example on derivation of equation of motion of particle | Download Verified |
| 53 | Lecture 53: Line Integral | Download Verified |
| 54 | Lecture 54: Surface integral | Download Verified |
| 55 | Lecture 55: Surface integral (Contd.) | Download Verified |
| 56 | Lecture 56: Green's Theorem & Example | Download Verified |
| 57 | Lecture 57: Volume integral, Gauss theorem | Download Verified |
| 58 | Lecture 58: Gauss divergence theorem | Download Verified |
| 59 | Lecture 59: Stoke's Theorem | Download Verified |
| 60 | Lecture 60: Overview of Course | Download Verified |
| Sl.No | Chapter Name | Hindi |
|---|---|---|
| 1 | Lecture 1 : Partition, Riemann intergrability and One example | Download |
| 2 | Lecture 2 : Partition, Riemann intergrability and One example (Contd.) | Download |
| 3 | Lecture 3 : Condition of integrability | Download |
| 4 | Lecture 4 : Theorems on Riemann integrations | Download |
| 5 | Lecture 5 : Examples | Download |
| 6 | Lecture 06: Examples (Contd.) | Download |
| 7 | Lecture 07: Reduction formula | Download |
| 8 | Lecture 08: Reduction formula (Contd.) | Download |
| 9 | Lecture 09: Improper Integral | Download |
| 10 | Lecture 10: Improper Integral (Contd.) | Download |
| 11 | Lecture 11 : Improper Integral (Contd.) | Download |
| 12 | Lecture 12 : Improper Integral (Contd.) | Download |
| 13 | Lecture 13 : Introduction to Beta and Gamma Function | Download |
| 14 | Lecture 14 : Beta and Gamma Function | Download |
| 15 | Lecture 15 :Differentiation under Integral Sign | Download |
| 16 | Lecture 16 : Differentiation under Integral Sign (Contd.) | Download |
| 17 | Lecture 17 : Double Integral | Download |
| 18 | Lecture 18 : Double Integral over a Region E | Download |
| 19 | Lecture 19 : Examples of Integral over a Region E | Download |
| 20 | Lecture 20 : Change of variables in a Double Integral | Download |
| 21 | Lecture 21: Change of order of Integration | Download |
| 22 | Lecture 22: Triple Integral | Download |
| 23 | Lecture 23: Triple Integral (Contd.) | Download |
| 24 | Lecture 24: Area of Plane Region | Download |
| 25 | Lecture 25: Area of Plane Region (Contd.) | Download |
| 26 | Lecture 26 :Rectification | Download |
| 27 | Lecture 27 : Rectification (Contd.) | Download |
| 28 | Lecture 28 : Surface Integral | Download |
| 29 | Lecture 29 : Surface Integral (Contd.) | Download |
| 30 | Lecture 30 : Surface Integral (Contd.) | Download |
| 31 | Lecture 31: Volume Integral, Gauss Divergence Theorem | Download |
| 32 | Lecture 32: Vector Calculus | Download |
| 33 | Lecture 33: Limit, Continuity, Differentiability | Download |
| 34 | Lecture 34: Successive Differentiation | Download |
| 35 | Lecture 35: Integration of Vector Function | Download |
| 36 | Lecture 36: Gradient of a Function | Download |
| 37 | Lecture 37: Divergence & Curl | Download |
| 38 | Lecture 38: Divergence & Curl Examples | Download |
| 39 | Lecture 39: Divergence & Curl important Identities | Download |
| 40 | Lecture 40: Level Surface Relevant Theorems | Download |
| 41 | Lecture 41: Directional Derivative (Concept & Few Results) | Download |
| 42 | Lecture 42: Directional Derivative (Concept & Few Results) (Contd.) | Download |
| 43 | Lecture 43: Directional Derivatives, Level Surfaces | Download |
| 44 | Lecture 44: Application to Mechanics | Download |
| 45 | Lecture 45: Equation of Tangent, Unit Tangent Vector | Download |
| 46 | Lecture 46: Unit Normal, Unit binormal, Equation of Normal Plane | Download |
| 47 | Lecture 47: Introduction and Derivation of Serret-Frenet Formula, few results | Download |
| 48 | Lecture 48: Example on binormal, normal tangent, Serret-Frenet Formula | Download |
| 49 | Lecture 49: Osculating Plane, Rectifying plane, Normal plane | Download |
| 50 | Lecture 50: Application to Mechanics, Velocity, speed , acceleration | Download |
| 51 | Lecture 51: Angular Momentum, Newton's Law | Download |
| 52 | Lecture 52: Example on derivation of equation of motion of particle | Download |
| 53 | Lecture 53: Line Integral | Download |
| 54 | Lecture 54: Surface integral | Download |
| 55 | Lecture 55: Surface integral (Contd.) | Download |
| 56 | Lecture 56: Green's Theorem & Example | Download |
| 57 | Lecture 57: Volume integral, Gauss theorem | Download |
| 58 | Lecture 58: Gauss divergence theorem | Download |
| 59 | Lecture 59: Stoke's Theorem | Download |
| 60 | Lecture 60: Overview of Course | Download |
| Sl.No | Chapter Name | Tamil |
|---|---|---|
| 1 | Lecture 1 : Partition, Riemann intergrability and One example | Download |
| 2 | Lecture 2 : Partition, Riemann intergrability and One example (Contd.) | Download |
| 3 | Lecture 3 : Condition of integrability | Download |
| 4 | Lecture 4 : Theorems on Riemann integrations | Download |
| 5 | Lecture 5 : Examples | Download |
| 6 | Lecture 06: Examples (Contd.) | Download |
| 7 | Lecture 07: Reduction formula | Download |
| 8 | Lecture 08: Reduction formula (Contd.) | Download |
| 9 | Lecture 09: Improper Integral | Download |
| 10 | Lecture 10: Improper Integral (Contd.) | Download |
| 11 | Lecture 11 : Improper Integral (Contd.) | Download |
| 12 | Lecture 12 : Improper Integral (Contd.) | Download |
| 13 | Lecture 13 : Introduction to Beta and Gamma Function | Download |
| 14 | Lecture 14 : Beta and Gamma Function | Download |
| 15 | Lecture 15 :Differentiation under Integral Sign | Download |
| 16 | Lecture 16 : Differentiation under Integral Sign (Contd.) | Download |
| 17 | Lecture 17 : Double Integral | Download |
| 18 | Lecture 18 : Double Integral over a Region E | Download |
| 19 | Lecture 19 : Examples of Integral over a Region E | Download |
| 20 | Lecture 20 : Change of variables in a Double Integral | Download |
| 21 | Lecture 21: Change of order of Integration | Download |
| 22 | Lecture 22: Triple Integral | Download |
| 23 | Lecture 23: Triple Integral (Contd.) | Download |
| 24 | Lecture 24: Area of Plane Region | Download |
| 25 | Lecture 25: Area of Plane Region (Contd.) | Download |
| 26 | Lecture 26 :Rectification | Download |
| 27 | Lecture 27 : Rectification (Contd.) | Download |
| 28 | Lecture 28 : Surface Integral | Download |
| 29 | Lecture 29 : Surface Integral (Contd.) | Download |
| 30 | Lecture 30 : Surface Integral (Contd.) | Download |
| 31 | Lecture 31: Volume Integral, Gauss Divergence Theorem | Download |
| 32 | Lecture 32: Vector Calculus | Download |
| 33 | Lecture 33: Limit, Continuity, Differentiability | Download |
| 34 | Lecture 34: Successive Differentiation | Download |
| 35 | Lecture 35: Integration of Vector Function | Download |
| 36 | Lecture 36: Gradient of a Function | Download |
| 37 | Lecture 37: Divergence & Curl | Download |
| 38 | Lecture 38: Divergence & Curl Examples | Download |
| 39 | Lecture 39: Divergence & Curl important Identities | Download |
| 40 | Lecture 40: Level Surface Relevant Theorems | Download |
| 41 | Lecture 41: Directional Derivative (Concept & Few Results) | Download |
| 42 | Lecture 42: Directional Derivative (Concept & Few Results) (Contd.) | Download |
| 43 | Lecture 43: Directional Derivatives, Level Surfaces | Download |
| 44 | Lecture 44: Application to Mechanics | Download |
| 45 | Lecture 45: Equation of Tangent, Unit Tangent Vector | Download |
| 46 | Lecture 46: Unit Normal, Unit binormal, Equation of Normal Plane | Download |
| 47 | Lecture 47: Introduction and Derivation of Serret-Frenet Formula, few results | Download |
| 48 | Lecture 48: Example on binormal, normal tangent, Serret-Frenet Formula | Download |
| 49 | Lecture 49: Osculating Plane, Rectifying plane, Normal plane | Download |
| 50 | Lecture 50: Application to Mechanics, Velocity, speed , acceleration | Download |
| 51 | Lecture 51: Angular Momentum, Newton's Law | Download |
| 52 | Lecture 52: Example on derivation of equation of motion of particle | Download |
| 53 | Lecture 53: Line Integral | Download |
| 54 | Lecture 54: Surface integral | Download |
| 55 | Lecture 55: Surface integral (Contd.) | Download |
| 56 | Lecture 56: Green's Theorem & Example | Download |
| 57 | Lecture 57: Volume integral, Gauss theorem | Download |
| 58 | Lecture 58: Gauss divergence theorem | Download |
| 59 | Lecture 59: Stoke's Theorem | Download |
| 60 | Lecture 60: Overview of Course | Download |