For the even semester of the academic year 2025-26, I am teaching MTH 306 (Ordinary differential equations). The main reference textbook is 'Differential equations; theory, technique and practice' by Simmons and Krantz. If you do not have the softcopy of the book, drop me an email. 

Schedule: Tue 9.30AM - 11.00AM, Fri 2.30PM - 4PM

Course mark distribution: Midsem  - 30, Endsem - 40, Assignment/Quiz - 30

• Lecture 1:  Introduction

• Lecture 2:  Convex sets and functions

• Lecture 3:  Applications of Optimization problems

• Lecture 4:  Geometry of Linear programming

• Lecture 5:  Reduction to Standard form and full rank assumption 

• Lecture 6:  Basic feasible solutions

• Lecture 7:  Fundamental theorem of Linear programming

• Lecture 8: Simplex method I

• Lecture 9:  Simplex method II

• Lecture 10:  Simplex method in tableau form

• Lecture 11:  Degeneracy and Bland's rule

• Lecture 12:  Two-phase method

• Lecture 13:  Introduction to Duality theory

• Lecture 14:  Strong Duality theorem

• Midsem questions and answers