MA542 Differential Equations L-T-P-C: 4-0-0-8

Instructor: Swaroop Nandan Bora (Office: E306, Email: swaroop@iitg.ernet.in, Phone: 2604)

Class Timings (Slot A) : 11 AM Monday, 8 AM Wednesday, 9 AM Thursday, 10 AM Friday

Room Number: 1103

			First day of Instruction		3 January 2008, Thursday
		Classes with Monday Time-Table			17 January 2008, Thursday
	Classes with Tuesday Time-table				6 March 2008, Thursday
	Classes with Friday Time-table				2 April, 2008, Wednesday
Classes with Friday Time-table				8 April, 2008, Tuesday

Exams:

Quiz I: January 31, 2008 --- Weightage 10%

Mid Semester Examination --- Weightage 25%

10 AM – 12 Noon, February 29, 2008

Quiz II: March 24, 2008 --- Weightage 8%

Quiz III: April 11, 2008 --- Weightage 7%

End Semester Examination --- Weightage 50%

9 AM – 12 Noon, April 28, 2008

Tentative Lecture-wise course content:

Ordinary Differential Equations

Review of fundamentals of ODEs: 4 lectures

Power series solutions of ODE: 6 lectures

Systems of Linear ODEs: 3 lectures

Reduction of higher order linear ODEs to first order linear systems: 2 lectures

Stability of linear systems: 3 lectures

(ODE part got over on 7^th March after 27 lectures--3 lectures more than planned)

Partial Differential Equations

First order linear and quasi-linear PDEs: 4 lectures

Solutions of hyperbolic, parabolic and elliptic eqns, Dirichlet and Neumann problems: 8 lectures

Maximum principles: 2 lectures

Texts / References:

1. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, Tata McGraw Hill, 1990.

2. I. N. Sneddon, Elements of Partial Differential Equations, McGraw Hill, 1957.

3. W.A. Strauss, Partial Differential Equations: An Introduction, John Wiley, 1992.

4. G.F. Simmons, Differential Equations with Applications and Historical Notes, Tata-McGraw Hill, 2003.