Modules / Lectures

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Assignment1 | Assignment1 |

Assignment10 | Assignment10 |

Assignment11 | Assignment11 |

Assignment12 | Assignment12 |

Assignment2 | Assignment2 |

Assignment3 | Assignment3 |

Assignment4 | Assignment4 |

Assignment5 | Assignment5 |

Assignment6 | Assignment6 |

Assignment7 | Assignment7 |

Assignment8 | Assignment8 |

Assignment9 | Assignment9 |

Week 1 Assignment Solution | Week 1 Assignment Solution |

Week 10 Assignment Solution | Week 10 Assignment Solution |

Week 11 Assignment Solution | Week 11 Assignment Solution |

Week 12 Assignment Solution | Week 12 Assignment Solution |

Week 2 Assignment Solution | Week 2 Assignment Solution |

Week 3 Assignment Solution | Week 3 Assignment Solution |

Week 4 Assignment Solution | Week 4 Assignment Solution |

Week 5 Assignment Solution | Week 5 Assignment Solution |

Week 7 Assignment Solution | Week 7 Assignment Solution |

Week 8 Assignment Solution | Week 8 Assignment Solution |

Week 9 Assignment Solution | Week 9 Assignment Solution |

week 6 assignment solution | week 6 assignment solution |

Sl.No | Chapter Name | MP4 Download |
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1 | Lecture 1: Countable and Uncountable sets | Download |

2 | Lecture 2: Properties of Countable and Uncountable sets | Download |

3 | Lecture 3: Examples of Countable and Uncountable sets | Download |

4 | Lecture 4: Concepts of Metric Space | Download |

5 | Lecture 5: Open ball, Closed ball, Limit point of a set | Download |

6 | Lecture 6: Tutorial - I | Download |

7 | Lecture 7: Some theorems on Open and Closed sets | Download |

8 | Lecture 8: Ordered set, Least upper bound, Greatest lower bound of a set | Download |

9 | Lecture 9: Ordered set, Least upper bound, Greatest lower bound of a set ( contd.) | Download |

10 | Lecture 10: Compact Set | Download |

11 | Lecture 11: Properties of Compact sets | Download |

12 | Lecture 12: Tutorial II | Download |

13 | Lecture 13: Heine Borel Theorem | Download |

14 | Lecture 14: Weierstrass Theorem | Download |

15 | Lecture 15: Cantor set & its properties | Download |

16 | Lecture 16: Derived set & Dense set | Download |

17 | Lecture 17: Limit of a sequence & monotone sequence | Download |

18 | Lecture 18: Tutorial 3 | Download |

19 | Lecture 19: Some Important limits of sequences | Download |

20 | Lecture 20: Ratio Test Cauchy’s theorems on limits of sequences of real numbers | Download |

21 | Lecture 21: Fundamental theorems on limits | Download |

22 | Lecture 22: Some results on limits and Bolzano-Weierstrass Theorem | Download |

23 | Lecture 23: Criteria for convergent sequence | Download |

24 | Lecture 24: Tutorial - IV | Download |

25 | Lecture 25 : Criteria for Divergent Sequence | Download |

26 | Lecture 26 : Cauchy Sequence | Download |

27 | Lecture 27 : Cauchy Convergence Criteria for Sequences | Download |

28 | Lecture 28 : Infinite Series of Real Numbers | Download |

29 | Lecture 29 : Convergence Criteria for Series of Positive Real Numbers | Download |

30 | Lecture 30 : Tutorial V | Download |

31 | Lecture 31 : Comparison Test for Series | Download |

32 | Lecture 32: Absolutely and Conditionally Convergent Series | Download |

33 | Lecture 33: Rearrangement Theorem and Test for Convergence of Series | Download |

34 | Lecture 34: Ratio and Integral Test for Convergence of Series | Download |

35 | Lecture 35: Raabe's Test for Convergence of Series | Download |

36 | Lecture 36 : Tutorial VI | Download |

37 | Lecture 37 : Limit of Functions and Cluster Point | Download |

38 | Lecture 38 : Limit of Functions (Contd.) | Download |

39 | Lecture 39: Divergence Criteria for Limit | Download |

40 | Lecture 40 : Various Properties of Limit of Functions | Download |

41 | Lecture 41: Left and Right Hand Limits for Functions | Download |

42 | Lecture 42: Tutorial VII | Download |

43 | Lecture 43 : Limit of Functions at Infinity | Download |

44 | Lecture 44 : Continuous Functions (Cauchy's Definition) | Download |

45 | Lecture 45 : Continuous Functions (Heine's Definition) | Download |

46 | Lecture 46: Properties of Continuous Functions | Download |

47 | Lecture 47: Properties of Continuous Functions (Contd.) | Download |

48 | Lecture 48 : Tutorial VIII | Download |

49 | Lecture 49 : Boundness Theorem and Max-Min Theorem | Download |

50 | Lecture 50 : Location of Root and Bolzano's Theorem | Download |

51 | Lecture 51 : Uniform Continuity and Related Theorems | Download |

52 | Lecture 52 : Absolute Continuity and Related Theorems | Download |

53 | Lecture 53 : Types of Discontinuities | Download |

54 | Lecture 54 : Tutorial IX | Download |

55 | Lecture 55 : Types of Discontinuities (Contd.) | Download |

56 | Lecture 56 : Relation between Continuity and Compact Sets | Download |

57 | Lecture 57 : Differentiability of Real Valued Functions | Download |

58 | Lecture 58 : Local Max. - Min. Cauchy's and Lagrange's Mean Value Theorem | Download |

59 | Lecture 59 : Rolle's Mean Value Theorems and Its Applications | Download |

60 | Lecture 60 : Tutorial X | Download |

61 | Lecture 61 : | Download |

62 | Lecture 62 : | Download |

63 | Lecture 63 : | Download |

64 | Lecture 64 : | Download |

65 | lecture 65 : | Download |

66 | Lecture 66 | Download |

67 | Lecture 67 | Download |

68 | Lecture 68 | Download |

69 | Lecture 69 | Download |

70 | Lecture 70 | Download |

71 | Lecture 71 | Download |

72 | Lecture 72 | Download |

73 | Lecture 73 | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lecture 1: Countable and Uncountable sets | PDF unavailable |

2 | Lecture 2: Properties of Countable and Uncountable sets | PDF unavailable |

3 | Lecture 3: Examples of Countable and Uncountable sets | PDF unavailable |

4 | Lecture 4: Concepts of Metric Space | PDF unavailable |

5 | Lecture 5: Open ball, Closed ball, Limit point of a set | PDF unavailable |

6 | Lecture 6: Tutorial - I | PDF unavailable |

7 | Lecture 7: Some theorems on Open and Closed sets | PDF unavailable |

8 | Lecture 8: Ordered set, Least upper bound, Greatest lower bound of a set | PDF unavailable |

9 | Lecture 9: Ordered set, Least upper bound, Greatest lower bound of a set ( contd.) | PDF unavailable |

10 | Lecture 10: Compact Set | PDF unavailable |

11 | Lecture 11: Properties of Compact sets | PDF unavailable |

12 | Lecture 12: Tutorial II | PDF unavailable |

13 | Lecture 13: Heine Borel Theorem | PDF unavailable |

14 | Lecture 14: Weierstrass Theorem | PDF unavailable |

15 | Lecture 15: Cantor set & its properties | PDF unavailable |

16 | Lecture 16: Derived set & Dense set | PDF unavailable |

17 | Lecture 17: Limit of a sequence & monotone sequence | PDF unavailable |

18 | Lecture 18: Tutorial 3 | PDF unavailable |

19 | Lecture 19: Some Important limits of sequences | PDF unavailable |

20 | Lecture 20: Ratio Test Cauchy’s theorems on limits of sequences of real numbers | PDF unavailable |

21 | Lecture 21: Fundamental theorems on limits | PDF unavailable |

22 | Lecture 22: Some results on limits and Bolzano-Weierstrass Theorem | PDF unavailable |

23 | Lecture 23: Criteria for convergent sequence | PDF unavailable |

24 | Lecture 24: Tutorial - IV | PDF unavailable |

25 | Lecture 25 : Criteria for Divergent Sequence | PDF unavailable |

26 | Lecture 26 : Cauchy Sequence | PDF unavailable |

27 | Lecture 27 : Cauchy Convergence Criteria for Sequences | PDF unavailable |

28 | Lecture 28 : Infinite Series of Real Numbers | PDF unavailable |

29 | Lecture 29 : Convergence Criteria for Series of Positive Real Numbers | PDF unavailable |

30 | Lecture 30 : Tutorial V | PDF unavailable |

31 | Lecture 31 : Comparison Test for Series | PDF unavailable |

32 | Lecture 32: Absolutely and Conditionally Convergent Series | PDF unavailable |

33 | Lecture 33: Rearrangement Theorem and Test for Convergence of Series | PDF unavailable |

34 | Lecture 34: Ratio and Integral Test for Convergence of Series | PDF unavailable |

35 | Lecture 35: Raabe's Test for Convergence of Series | PDF unavailable |

36 | Lecture 36 : Tutorial VI | PDF unavailable |

37 | Lecture 37 : Limit of Functions and Cluster Point | PDF unavailable |

38 | Lecture 38 : Limit of Functions (Contd.) | PDF unavailable |

39 | Lecture 39: Divergence Criteria for Limit | PDF unavailable |

40 | Lecture 40 : Various Properties of Limit of Functions | PDF unavailable |

41 | Lecture 41: Left and Right Hand Limits for Functions | PDF unavailable |

42 | Lecture 42: Tutorial VII | PDF unavailable |

43 | Lecture 43 : Limit of Functions at Infinity | PDF unavailable |

44 | Lecture 44 : Continuous Functions (Cauchy's Definition) | PDF unavailable |

45 | Lecture 45 : Continuous Functions (Heine's Definition) | PDF unavailable |

46 | Lecture 46: Properties of Continuous Functions | PDF unavailable |

47 | Lecture 47: Properties of Continuous Functions (Contd.) | PDF unavailable |

48 | Lecture 48 : Tutorial VIII | PDF unavailable |

49 | Lecture 49 : Boundness Theorem and Max-Min Theorem | PDF unavailable |

50 | Lecture 50 : Location of Root and Bolzano's Theorem | PDF unavailable |

51 | Lecture 51 : Uniform Continuity and Related Theorems | PDF unavailable |

52 | Lecture 52 : Absolute Continuity and Related Theorems | PDF unavailable |

53 | Lecture 53 : Types of Discontinuities | PDF unavailable |

54 | Lecture 54 : Tutorial IX | PDF unavailable |

55 | Lecture 55 : Types of Discontinuities (Contd.) | PDF unavailable |

56 | Lecture 56 : Relation between Continuity and Compact Sets | PDF unavailable |

57 | Lecture 57 : Differentiability of Real Valued Functions | PDF unavailable |

58 | Lecture 58 : Local Max. - Min. Cauchy's and Lagrange's Mean Value Theorem | PDF unavailable |

59 | Lecture 59 : Rolle's Mean Value Theorems and Its Applications | PDF unavailable |

60 | Lecture 60 : Tutorial X | PDF unavailable |

61 | Lecture 61 : | PDF unavailable |

62 | Lecture 62 : | PDF unavailable |

63 | Lecture 63 : | PDF unavailable |

64 | Lecture 64 : | PDF unavailable |

65 | lecture 65 : | PDF unavailable |

66 | Lecture 66 | PDF unavailable |

67 | Lecture 67 | PDF unavailable |

68 | Lecture 68 | PDF unavailable |

69 | Lecture 69 | PDF unavailable |

70 | Lecture 70 | PDF unavailable |

71 | Lecture 71 | PDF unavailable |

72 | Lecture 72 | PDF unavailable |

73 | Lecture 73 | PDF unavailable |

Sl.No | Language | Book link |
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1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |