Modules / Lectures

Module Name | Download |
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Sl.No | Chapter Name | MP4 Download |
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1 | Lecture 1: Real numbers and Archimedean property | Download |

2 | Lecture 2: Supremum and Decimal representation of Reals | Download |

3 | Lecture 3: Functions | Download |

4 | Lecture 4: Functions continued and Limits | Download |

5 | Lecture 5: Limits continued. | Download |

6 | Lecture 6: Limits (continued) and Continuity | Download |

7 | Lecture 7: Continuity and Intermediate Value Property | Download |

8 | Lecture 8: Differentiation | Download |

9 | Lecture 9: Chain Rule | Download |

10 | Lecture 10: Nth derivative of a function | Download |

11 | Lecture 11: Local extrema and Rolle's theorem | Download |

12 | Lecture 12: Mean value theorem and Monotone functions | Download |

13 | Lecture 13: Local extremum tests | Download |

14 | Lecture 14: Concavity and points of inflection | Download |

15 | Lecture 15: Asymptotes and plotting graph of functions. | Download |

16 | Lecture 16: Optimization and L'Hospital Rule | Download |

17 | Lecture 17: L'Hospital Rule continued and Cauchy Mean value theorem | Download |

18 | Lecture 18: Approximation of Roots | Download |

19 | Lecture 19: Antiderivative and Riemann Integration | Download |

20 | Lecture 20: Riemann's criterion for Integrability | Download |

21 | Lecture 21: Integration and its properties | Download |

22 | Lecture 22: Area and Mean value theorem for integrals | Download |

23 | Lecture 23: Fundamental theorem of Calculus | Download |

24 | Lecture 24: Integration by parts and Trapezoidal rule | Download |

25 | Lecture 25: Simpson's rule and Substitution in integrals | Download |

26 | Lecture 26: Area between curves | Download |

27 | Lecture 27: Arc Length and Parametric curves | Download |

28 | Lecture 28: Polar Co-ordinates | Download |

29 | Lecture 29: Area of curves in polar coordinates | Download |

30 | Lesson 30: Volume of solids | Download |

31 | Lecture 31: Improper Integrals | Download |

32 | Lecture 32: Sequences | Download |

33 | Lecture 33: Algebra of sequences and Sandwich theorem | Download |

34 | Lecture 34: Subsequences | Download |

35 | Lecture 35: Series | Download |

36 | Lecture 36: Comparison tests for Series | Download |

37 | Lecture 37: Ratio and Root test for series | Download |

38 | Lecture 38: Integral test and Leibniz test for series | Download |

39 | Lecture 39: Revision I | Download |

40 | Lecture 40: Revision II | Download |

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

1 | Lecture 1: Real numbers and Archimedean property | Download To be verified |

2 | Lecture 2: Supremum and Decimal representation of Reals | Download To be verified |

3 | Lecture 3: Functions | Download To be verified |

4 | Lecture 4: Functions continued and Limits | Download To be verified |

5 | Lecture 5: Limits continued. | Download To be verified |

6 | Lecture 6: Limits (continued) and Continuity | Download To be verified |

7 | Lecture 7: Continuity and Intermediate Value Property | Download To be verified |

8 | Lecture 8: Differentiation | Download To be verified |

9 | Lecture 9: Chain Rule | Download To be verified |

10 | Lecture 10: Nth derivative of a function | Download To be verified |

11 | Lecture 11: Local extrema and Rolle's theorem | Download To be verified |

12 | Lecture 12: Mean value theorem and Monotone functions | Download To be verified |

13 | Lecture 13: Local extremum tests | Download To be verified |

14 | Lecture 14: Concavity and points of inflection | Download To be verified |

15 | Lecture 15: Asymptotes and plotting graph of functions. | Download To be verified |

16 | Lecture 16: Optimization and L'Hospital Rule | Download To be verified |

17 | Lecture 17: L'Hospital Rule continued and Cauchy Mean value theorem | Download To be verified |

18 | Lecture 18: Approximation of Roots | Download To be verified |

19 | Lecture 19: Antiderivative and Riemann Integration | Download To be verified |

20 | Lecture 20: Riemann's criterion for Integrability | Download To be verified |

21 | Lecture 21: Integration and its properties | Download To be verified |

22 | Lecture 22: Area and Mean value theorem for integrals | Download To be verified |

23 | Lecture 23: Fundamental theorem of Calculus | Download To be verified |

24 | Lecture 24: Integration by parts and Trapezoidal rule | Download To be verified |

25 | Lecture 25: Simpson's rule and Substitution in integrals | Download To be verified |

26 | Lecture 26: Area between curves | Download To be verified |

27 | Lecture 27: Arc Length and Parametric curves | Download To be verified |

28 | Lecture 28: Polar Co-ordinates | Download To be verified |

29 | Lecture 29: Area of curves in polar coordinates | Download To be verified |

30 | Lesson 30: Volume of solids | Download To be verified |

31 | Lecture 31: Improper Integrals | PDF unavailable |

32 | Lecture 32: Sequences | PDF unavailable |

33 | Lecture 33: Algebra of sequences and Sandwich theorem | PDF unavailable |

34 | Lecture 34: Subsequences | PDF unavailable |

35 | Lecture 35: Series | PDF unavailable |

36 | Lecture 36: Comparison tests for Series | PDF unavailable |

37 | Lecture 37: Ratio and Root test for series | PDF unavailable |

38 | Lecture 38: Integral test and Leibniz test for series | PDF unavailable |

39 | Lecture 39: Revision I | PDF unavailable |

40 | Lecture 40: Revision II | PDF unavailable |

Sl.No | Language | Book link |
---|---|---|

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 |