Modules / Lectures

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assignment_1_solutions | assignment_1_solutions |

assignment_2 | assignment_2 |

assignment_2_solutions | assignment_2_solutions |

assignment_3 | assignment_3 |

assignment_3_solutions | assignment_3_solutions |

assignment_4 | assignment_4 |

assignment_4_solutions | assignment_4_solutions |

assignment_5 | assignment_5 |

assignment_5_solutions | assignment_5_solutions |

assignment_6 | assignment_6 |

assignment_6_solutions | assignment_6_solutions |

assignment_7 | assignment_7 |

assignment_7_solutions | assignment_7_solutions |

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

1 | Introduction | Download Verified |

2 | Long division | Download Verified |

3 | Applications of Long division | Download Verified |

4 | Lagrange interpolation | Download Verified |

5 | The 0-1 idea in other contexts - dot and cross product | Download Verified |

6 | Taylors formula | Download Verified |

7 | The Chebyshev polynomials | Download Verified |

8 | Counting number of monomials - several variables | Download Verified |

9 | Permutations, combinations and the binomial theorem. | Download Verified |

10 | Combinations with repetition, and counting monomials. | Download Verified |

11 | Combinations with restrictions, recurrence relations | Download Verified |

12 | Fibonacci numbers; an identity and a bijective proof. | Download Verified |

13 | Permutations and cycle type | Download Verified |

14 | The sign of a permutation, composition of permutations | Download Verified |

15 | Rules for drawing tangle diagrams | Download Verified |

16 | Signs and cycle decompositions | Download Verified |

17 | Sorting lists of numbers, and crossings in tangle diagrams | Download Verified |

18 | Real and integer valued polynomials | Download Verified |

19 | Integer valued polynomials revisited. | Download Verified |

20 | Functions on the real line, continuity | Download Verified |

21 | The intermediate value property. | Download Verified |

22 | Visualizing functions. | Download Verified |

23 | Functions on the plane, Rigid motions. | Download Verified |

24 | More examples of functions on the plane, dilations. | Download Verified |

25 | Composition of functions | Download Verified |

26 | Affine and Linear transformations | Download Verified |

27 | Length and Area dilation, the derivative | Download Verified |

28 | Examples-I | Download Verified |

29 | Examples-II | Download Verified |

30 | Linear equations, Lagrange interpolation revisited | Download Verified |

31 | Completed Matrices in combinatorics | Download Verified |

32 | Polynomials acting on matrices | Download Verified |

33 | Divisibility, prime numbers | Download Verified |

34 | Congruences, Modular arithmetic | Download Verified |

35 | The Chinese remainder theorem | Download Verified |

36 | The Euclidean algorithm, the 0-1 idea and the Chinese remainder theorem | Download Verified |

Sl.No | Language | Book link |
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1 | English | Download |

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 |