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

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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.

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