- Instructor: Saikat Mazumdar
- Email: saikat.mazumdar@iitb.ac.in, saikat@math.iitb.ac.in

- Lectures:
**Mondays**and**Thursdays: 14:00-15:25,**Room**114**

- Tutorials: Thursdays: 11:35-11:30, Room 114

- First order equations, Finding explicit solutions, Qualitative analysis of first-order equations.
- Initial value problems, Existence and uniqueness results.
- Linear ODEs, Solving systems of linear ODEs using matrix exponentials, Asymptotic behaviour of solutions.
- Analysis of equilibrium points, Stability of equilibrium points, Lyapunovâ€™s theorems.
- Boundary value problems, Sturm-Liouville theory.

- G. Teschl, Ordinary differential equations and dynamical systems,
Graduate Studies of Mathematics, vol. 140, American Mathematical
Society, 2012. An online edition is made available by the author in
his homepage. This will be our
**main text.**

- M. E. Taylor, Introduction to differential equations,Second edition, Pure Appl. Undergrad. Texts, 52 American Mathematical Society, 2022. Notes are made available by the author in his homepage.

- W. Walter, Ordinary Differential Equations, Springer, 1998.

- M.W. Hirsch, S. Smale, and R.L. Devaney, Differential equations, dynamical systems, and an introduction to chaos, 2nd edition, Elsevier/Academic Press, 2004.

- E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, 1955.

- G. Birkhoff, and G.C. Rota, Ordinary differential equations, 4th edition, Wiley,1989.

**Final grade**: Homework(20) + Mid-Semester Exam(30) + Final Exam(50)- To pass the course (DD), one needs to score at least 35% in the course. The Final exam will cover the entire course.