**Guidelines for Annual Fundation Schools (AFS)**

Basic knowledge in algebra, analysis and topology forms the core of all Advanced Instructional Schools organised by NCM. The main objectives of AFS are to bring up students with diverse background to a common level and help them acquire basic knowledge in these subjects required in Advanced Instructional Schools.

The Annual Foundation Schools are aimed at first and second year Ph.D. students. Nine basic subjects are spread over AFS-I, II and III. The material covered in AFS-II assumes that covered in AFS-I and similarly AFS-III assumes material covered in AFS-II. Each speaker is required to deliver at least 6 lectures of 1 hour duration or 4 lectures of one and a half hour duration and conduct two tutorials of two hours duration each with the help of one or two course associates. Typically, there are 4 speakers for each subject. A course associate is expected to help for at least two weeks. Course associates may help in the tutorials in more than one subject.

Basic information about these schools is given in the following table.

Annual Foundation Schools |
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School | Duration | Month | Subjects to be covered |

AFS-I | 24 days | Dec | Group Theory, Real Analysis, General Topology |

AFS-II | 24 days | May | Ring Theory, Functional Anal. Differential Topology |

AFS-III | 24 days | June | Galois Theory, Complex Anal. Algebraic Topology |

A Model for Weekly Schedule for AFS |
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09.30 | 11.00 | 11.30 | 1.00 | 2.30 | 3.30 | 4.00 | 5.00 |

Algebra-L1 |
T E A |
Analysis-L1 |
L U N C H |
Algebra-T1 |
T E A |
Algebra-T2 |
S |

Topology-L1 | Algebra-L2 | Analysis-T1 | Analysis-T2 | ||||

Analysis-L2 | Topology-L2 | Topology-T1 | Topology-T2 | ||||

Algebra-L3 | Analysis-L3 | Algebra-T3 | Algebra-T4 | ||||

Topology-L3 | Algebra-L4 | Analysis-T3 | Analysis-T4 | ||||

Analysis-L4 | Topology-L4 | Topology-T4 | Topology-T4 |

Attachment | Size |
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Click here to download syllabus | 127.68 KB |