Modules / Lectures

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 |