The schedule of ICTS courses for **Jan - Apr 2018 **are** **given below:

**Introduction to PDEs (Reading)**: Rukmini Dey__Instructor__S N Bose Meeting Room, ICTS Campus, Bangalore__Venue__:: Monday and Friday: 11:30 am - 1:00 pm**Meeting Time****First Class:**: First 5 chapters of**Course contents****Ian Sneddon's book:****Elements of PDEs.**: Ordinary Differential Equations in more than 2 variables; Partial Differential Equations of the first order; Partial Differential Equations of the Second Order; Laplace Equation; Wave Equation. If time permits we will go through some chapters of**Syllabus****"Fourier Series" by Georgi P. Tolstov.**

**Introduction to Dynamical Systems (Reading)**: Vishal Vasan**Instructor**: ICTS Campus, Bangalore**Venue**: Friday: 4:30 pm - 6:00 pm**Meeting Time**: Friday, 19th January, 2018**First Class**: Nonlinear Dynamics and Chaos by S Strogatz. Selected reading from Differential Equations and Dynamical Systems by L Perko and other suitable texts.**Course contents**: The course will cover the entire content of Strogatz' book supplemented with more detailed mathematical treatments of selected theorems from other sources.**Syllabus**

The following is the list of courses offered at IISc. For the current list see http://math.iisc.ac.in/newcourse.htm

**Core Elective Courses**

Course No. |
Course Title |

MA 212 | Algebra I |

MA 219 | Linear Algebra |

MA 221 | Analysis I: Real Anaysis |

MA 231 | Topology |

MA 261 | Probability Models |

MA 223 | Functional Analysis |

MA 232 | Introduction to Algebraic Topology |

MA 242 | Partial Differential Equations |

MA 213 | Algebra II |

MA 222 | Analysis II : Measure and Integration |

MA 224 | Complex Analysis |

MA 229 | Calculus on Manifolds |

MA 241 | Ordinary Differential Equations |

**Advanced Elective Courses**

Course No. |
Course Title |

MA 215 | Introduction to Modular Forms |

MA 277 | Advanced PDE and Finite Element Method |

MA 361 | Probability Theory |

MA 368 | Topics in Probability and Stochastic Processes |

MA 278 | Introduction to Dynamical Systems Theory |

MA 313 | Algebraic Number Theory |

MA 314 | Introduction to Algebraic Geometry |

MA 315 | Lie Algebras and their Representations |

MA 317 | Introduction to Analytic Number Theory |

MA 319 | Algebraic Combinatorics |

MA 320 | Representation Theory of Compact Lie Groups |

MA 332 | Algebraic Topology |

MA 364 | Linear and Nonlinear Time Series Analysis |

MA 369 | Quantum Mechanics |