| Module Name | Download |
|---|---|
| noc21_ma15_assignment_Week_1 | noc21_ma15_assignment_Week_1 |
| noc21_ma15_assignment_Week_2 | noc21_ma15_assignment_Week_2 |
| noc21_ma15_assignment_Week_3 | noc21_ma15_assignment_Week_3 |
| noc21_ma15_assignment_Week_4 | noc21_ma15_assignment_Week_4 |
| noc21_ma15_assignment_Week_5 | noc21_ma15_assignment_Week_5 |
| noc21_ma15_assignment_Week_6 | noc21_ma15_assignment_Week_6 |
| noc21_ma15_assignment_Week_7 | noc21_ma15_assignment_Week_7 |
| noc21_ma15_assignment_Week_8 | noc21_ma15_assignment_Week_8 |
| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Motivation and overview of the course | Download |
| 2 | Review of group theory | Download |
| 3 | Review of ring theory I | Download |
| 4 | Review of ring theory II | Download |
| 5 | Review of field theory I | Download |
| 6 | Review of field theory II | Download |
| 7 | Review of field theory III | Download |
| 8 | Problem Session 1 | Download |
| 9 | Problem Session 2 | Download |
| 10 | Beginning of Galois theory | Download |
| 11 | Fixed fields | Download |
| 12 | Theorem I on fixed fields | Download |
| 13 | Theorem II on fixed fields | Download |
| 14 | Galois extensions, Galois groups | Download |
| 15 | Normal extensions | Download |
| 16 | Problem Session - Part 3 | Download |
| 17 | Problem Session - Part 4 | Download |
| 18 | Separable extension - Part 1 | Download |
| 19 | Separable extension - Part 2 | Download |
| 20 | Characterization of Galois extensions - Part 1 | Download |
| 21 | Characterization of Galois extensions - Part 2 | Download |
| 22 | Examples of Galois extensions | Download |
| 23 | Motivating the main theorem of Galois theory | Download |
| 24 | Main theorem of Galois theory - Part 1 | Download |
| 25 | Main theorem of Galois theory - Part 2 | Download |
| 26 | Fundamental theorem of algebra | Download |
| 27 | Problem Session - Part 5 | Download |
| 28 | Problem Session - Part 6 | Download |
| 29 | Problem Session - Part 7 | Download |
| 30 | Problem Session - Part 8 | Download |
| 31 | Problem Session - Part 9 | Download |
| 32 | Kummer extensions - Part 1 | Download |
| 33 | Kummer extensions - Part 2 | Download |
| 34 | Kummer extensions - Part 3 | Download |
| 35 | Cyclotomic extensions - Part 1 | Download |
| 36 | Cyclotomic extensions - Part 2 | Download |
| 37 | Solvability by radicals | Download |
| 38 | Characterizations of solvability - Part 1 | Download |
| 39 | Characterizations of solvability - Part 2 | Download |
| 40 | Discriminants, Galois groups of polynomials | Download |
| 41 | Quartics are solvable | Download |
| 42 | Solvable groups - Part 1 | Download |
| 43 | Solvable groups - Part 2 | Download |
| 44 | Solvable groups - Part 3 | Download |
| 45 | Insolvability of quintics | Download |
| 46 | Problem Session - Part 10 | Download |
| 47 | Problem Session - Part 11 | Download |
| 48 | Problem Session - Part 12 | Download |
| 49 | Problem Session - Part 13 | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Motivation and overview of the course | Download To be verified |
| 2 | Review of group theory | Download To be verified |
| 3 | Review of ring theory I | Download To be verified |
| 4 | Review of ring theory II | Download To be verified |
| 5 | Review of field theory I | Download To be verified |
| 6 | Review of field theory II | Download To be verified |
| 7 | Review of field theory III | Download To be verified |
| 8 | Problem Session 1 | Download To be verified |
| 9 | Problem Session 2 | Download To be verified |
| 10 | Beginning of Galois theory | Download To be verified |
| 11 | Fixed fields | Download To be verified |
| 12 | Theorem I on fixed fields | Download To be verified |
| 13 | Theorem II on fixed fields | Download To be verified |
| 14 | Galois extensions, Galois groups | Download To be verified |
| 15 | Normal extensions | Download To be verified |
| 16 | Problem Session - Part 3 | Download To be verified |
| 17 | Problem Session - Part 4 | Download To be verified |
| 18 | Separable extension - Part 1 | Download To be verified |
| 19 | Separable extension - Part 2 | Download To be verified |
| 20 | Characterization of Galois extensions - Part 1 | Download To be verified |
| 21 | Characterization of Galois extensions - Part 2 | Download To be verified |
| 22 | Examples of Galois extensions | Download To be verified |
| 23 | Motivating the main theorem of Galois theory | Download To be verified |
| 24 | Main theorem of Galois theory - Part 1 | Download To be verified |
| 25 | Main theorem of Galois theory - Part 2 | Download To be verified |
| 26 | Fundamental theorem of algebra | Download To be verified |
| 27 | Problem Session - Part 5 | Download To be verified |
| 28 | Problem Session - Part 6 | Download To be verified |
| 29 | Problem Session - Part 7 | Download To be verified |
| 30 | Problem Session - Part 8 | Download To be verified |
| 31 | Problem Session - Part 9 | Download To be verified |
| 32 | Kummer extensions - Part 1 | Download To be verified |
| 33 | Kummer extensions - Part 2 | Download To be verified |
| 34 | Kummer extensions - Part 3 | Download To be verified |
| 35 | Cyclotomic extensions - Part 1 | Download To be verified |
| 36 | Cyclotomic extensions - Part 2 | Download To be verified |
| 37 | Solvability by radicals | Download To be verified |
| 38 | Characterizations of solvability - Part 1 | Download To be verified |
| 39 | Characterizations of solvability - Part 2 | PDF unavailable |
| 40 | Discriminants, Galois groups of polynomials | PDF unavailable |
| 41 | Quartics are solvable | PDF unavailable |
| 42 | Solvable groups - Part 1 | PDF unavailable |
| 43 | Solvable groups - Part 2 | PDF unavailable |
| 44 | Solvable groups - Part 3 | PDF unavailable |
| 45 | Insolvability of quintics | PDF unavailable |
| 46 | Problem Session - Part 10 | PDF unavailable |
| 47 | Problem Session - Part 11 | PDF unavailable |
| 48 | Problem Session - Part 12 | PDF unavailable |
| 49 | Problem Session - Part 13 | 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 |