Keeping in tune with the order of the day, the School of Mathematics offers courses that span across a variety of areas in Mathematics. Starting off with certain fundamental courses such as Single Variable Calculus and Group Theory, the school offers mandatory courses as advanced as Functional Analysis and Differential Geometry and elective courses such as Ergodic Theory, Data Sciences and Machine Learning, as well.

**Foundation Courses for BS-MS programme:**

Varsha Semester | |
---|---|

MATH 111 | Single Variable Calculus |

IDC 111 | Mathematical Tools-I |

Vasanth Semester | |

MAT 121 | Introduction to Algebra |

IDC 121 | Mathematical Tools-II |

Varsha Semester | |
---|---|

MATH 211 | Multi Variable Calculus |

Vasanth Semester | |

MAT 221 | Introduction to Probability and Statistics |

**Major Courses in Mathematics**

Varsha Semester | |
---|---|

MAT 311 | Real Analysis |

MAT 312 | Abstract Algebra |

MAT 313 | Linear Algebra |

MAT 314 | Numerical Analysis |

Mat 315 | Number Theory and Cryptography |

Vasanth Semester | |

MAT 321 | Complex Analysis |

MAT 322 | Measure Theory and Integration |

MAT 323 | Galois Theory & Commutative Algebra |

MAT 324 | Theory of Ordinary Differential Equations |

MAT 325 | General Topology |

Varsha Semester | |
---|---|

MAT 411 | Functional Analysis |

MAT 412 | Analysis on Manifolds |

MAT 413 | Partial Differential Equations |

MAT 414 | Rings, Modules and Algebras |

Vasanth Semester | |

MAT 421 | Probability Theory and Stochastic Process |

MAT 422 | Differential Geometry |

**Electives available at SoM:**

- Algebraic Geometry
- Algebraic Number Theory
- Algebraic Topology
- Lie Groups and Lie Algebras
- Representation Theory
- Matrix Analysis
- Operator Algebras
- C* Algebras
- Graph Theory
- Diophantine Approximations
- Harmonic Analysis
- Stochastic Analysis
- Control Theory
- Mathematical Finance
- Financial Engineering
- Mathematical Fluid Dynamics
- Calculus of Variations
- Operations Research
- Discrete Mathematics
- Programming and Data Structures
- Finite Element Methods
- Operator Theory
- Ergodic Theory
- Category Theory and Applications
- Complex Geometry
- Geometry of Schemes
- Class Field Theory
- Elliptic Curves and Modular Forms
- Fourier Analysis
- Complex Dynamics
- Mathematical Biology
- Wavelets and Frames
- Geometric Measure Theory
- Data Science and Machine Learning
- Several Complex Variables

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