The Teacher Enrichment Workshop is a programme funded by the National Centre for Mathematics (A joint centre of TIFR & IIT Bombay). The TEW is meant for college teachers to revisit and update their content-knowledge. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared and work-out routine to advanced exercises.

**Syllabus**:

Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |

Prof. V.D. Sharma IIT Bombay |
9 | Method of characteristics and general solution of first order PDEs; Riemann problem; conservation laws and Burger’s equations; Cauchy problem for second order PDEs. First order ordinary differential equations, growth and decay model. Euler’s equation. Power series solution of a differential equation about an ordinary point, solution about a regular singular point. |

Prof. Inder K. Rana IIT Bombay |
6 | From Rationals to reals, understanding limits, from Riemann integration to Lebesgue integration. |

Dr. Tanvi Jain ISI, Delhi |
5 | Metric spaces - examples, sequences, continuity, complete and compact metric spaces. Introduction to convex functions and Fixed point theory. |

Prof. Mani Mehra IIT, Delhi |
3 | Classification of second order PDEs. Complete study of one dimensional parabolic equation. |

Dr. Mukund Madhav Mishra Hansraj College, University of Delhi |
1 | Fourier Series and its convergence. |

**Time-table** (with names of speakers and tutors):

Day |
Date |
Lec 19:30 to 10:30 |
Tea10:30 to 11:00 |
Lec 211:00to 12:00 |
to 1:00 |
Lunch1:00 to 2:00 |
Lec 42:00to 3:00 |
Tea3:00 to 3:30 |
Discu / Lab3:30 to 4:30 |
Tea4:30 to 5:00 |

Speaker | Speaker | Speaker | Speaker | Speaker | ||||||

Tue | 24-7-2018 | Inder K. Rana | Inder K. Rana | Mani Mehra | Mukund M. Mishra |
Mukund M. Mishra |
||||

Wed | 25-7-2018 | Inder K. Rana | Inder K. Rana | Tanvi Jain | Mani Mehra | Mukund M. Mishra |
||||

Thu | 26-7-2018 | Inder K. Rana | Inder K. Rana | Tanvi Jain | Mani Mehra | Vivek Kumar |
||||

Fri | 27-7-2018 | Tanvi Jain | V.D Sharma | V.D Sharma | V.D Sharma | Vivek Kumar |
||||

Sat | 28-7-2018 | Tanvi Jain | V.D Sharma | V.D Sharma | V.D Sharma | Vivek Kumar |
||||

Sun | 29-7-2018 | V.D Sharma | V.D Sharma | V.D Sharma | Tanvi Jain | Tanvi Jain | Valedictory Session |

**Name of the tutors/Lab Session**

Sr.n |
Name |
Affiliation |

1 | Dr. Vivek Kumar | Delhi Technological University |

2 | Dr. Tanvi Jain | ISI, Delhi |

3 | Dr. Mukund Madhav Mishra | Hansraj College,University of Delhi |