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### Domain : Algebra (Minimum 56 Weeks)

### Core Courses

#### You have to complete 3 core courses

Please choose one course against each serial number for completing a core where there are multiple courses in a serial number

### Elective Courses

#### You have to complete 3 elective courses

For the number of electives to be taken

Please choose one course against each serial number for completing an elective where there are multiple courses in a serial number

Please choose one course against each serial number for completing a core where there are multiple courses in a serial number

Sl No | Nptel CourseId | Course Name | SME Name | Institute | Course Duration | Previous Run | Jan-2021 |
---|---|---|---|---|---|---|---|

1 | 111106135 | Linear Algebra | Prof. Pranav Haridas | Kerala School of Mathematics | 12 weeks | noc20-ma21 |
noc21-ma05 |

111104137 | ORLinear Algebra |
Prof. Arbind Kumar Lal | IIT Kanpur | 12 weeks | noc20-ma54 |
- | |

2 | 111106113 | Introduction to Abstract Group Theory | Prof. Krishna Hanumanthu | CMI | 8 weeks | noc20-ma29 noc19-ma24 noc18-ma15 |
- |

3 | 111106131 | Introduction to Rings and Fields | Prof. Krishna Hanumanthu | Chennai Mathematical Institute | 8 weeks | noc20-ma09 noc19-ma25 |
noc21-ma06 |

For the number of electives to be taken

Please choose one course against each serial number for completing an elective where there are multiple courses in a serial number

Sl No | Nptel CourseId | Course Name | SME Name | Institute | Course Duration | Previous Run | Jan-2021 |
---|---|---|---|---|---|---|---|

1 | 111101137 | A basic course in number theory | Prof. Shripad Garge | IIT Bombay | 12 weeks | noc20-ma39 |
- |

2 | 111106138 | Computational Commutative Algebra | Prof. Manoj Kummini | CMI | 12 weeks | - | |

3 | 111106145 | Introduction to Galois Theory | Prof. Krishna Hanumanthu | CMI | 8 weeks | noc21-ma15 | |

4 | Representations of finite groups | To Be Developed | |||||

5 | Rings and modules | To Be Developed | |||||

6 | Category theory | To Be Developed | |||||

7 | 111106149 | Computational Mathematics with SageMath | Prof. Ajit Kumar | Institute of Chemical Technology, Mumbai | 8 weeks | noc21-ma29 | |

8 | Combinatorics and applications | To Be Developed | |||||

9 | Computational algebra | To Be Developed | |||||

10 | Undergraduate algebraic geometry | To Be Developed |