MAL335: Differential Equations: Theory and Computations

II semester: 2014-15

V. V. K. Srinivas Kumar

Lecture Timings: MON and THUR 9:30AM to 10:50AM (B-Slot)

Lecture Room:	IV LT4
Tutorial Timings:	Tue 1-2 pm, Thur and Fri 2-3 pm
Tutorial Room:	II 337 for Tuesday, MZ158 for Thursday and Friday.
Tutorial Teachers:	Mr. Shubham Agarwal (Mobile: 8800250530) for Tuesday, Manish Agrawal (Moblile: 8800837388) for Thursday and Mr. Kuldip Patel (Mobile 9717532907) for Friday.

News & Announcements:

Handwritten notes on Shooting Method and Finite Difference Methods is posted in the below on 5 April 2015.

Handwritten notes on Exact equations is posted in the below on 5 April 2015.

Handwritten notes on Bessel function of order zero is posted in the below on 30 March 2015.

Handwritten notes on Regular Singular Points continuation part is posted in the below on 30 March 2015.

Handwritten notes on Regular Singular Points is posted in the below on 24 March 2015.

Handwritten notes on The Legendre Equation is posted in the below on 5 February 2015.

Handwritten notes on Continuation of Variable coefficients is posted in the below on 5 February 2015.

Handwritten notes on Higher Order ODEs with Variable coefficients is posted in the below on 20 January 2015.

Handwritten notes on Higher Order ODEs with real coefficients is posted in the below on 5 January 2015.

Handwritten notes on Applications of second order ODEs for inverse problems is posted in the below on 20 January 2015.

Handwritten notes on Examples of Second Order ODEs is posted in the below on 20 January 2015.

Handwritten notes on Higher Order ODEs is posted in the below on 5 January 2015.

Handwritten notes on Numerical Methods for ODEs is posted in the below on 12 December 2014.

Course Information sheet is posted in the below on 11 December 2014.

Handwritten class lecture notes on second order ODEs is posted in the below on 10 December 2014.

Course Information Sheet

Class Lecture Notes:

Topics	Posted on	Source/Reference
Continuation of Chapter-5: Method of Successive Approximations	4-5-2015	Text Book: Coddington, pages 208-227, Chapter 5, Solutions of first order equations.
General first order ODEs-Method of Successive Approximations	15-4-2015	Text Book: Coddington, pages 200-205, Chapter 5, Solutions of first order equations.
General first order ODEs-Exact Equations	5-4-2015	Text Book: Coddington, pages 185-198, Chapter 5, Solutions of first order equations.
Bessel Equation and Bessel function of order zero	30-3-2015	Text Book: Coddington, pages 168-170, Chapter 4, Linear equations with Regular Singular Points.
ODEs with Regular Sigular Points-Continuation	30-3-2015	Text Book: Coddington, pages 156-158, Chapter 4, Linear equations with Regular Singular Points.
ODEs with Regular Sigular Points	24-3-2015	Text Book: Coddington, pages 143-156, Chapter 4, Linear equations with Regular Singular Points.
The Legendre Equation	5-2-2015	Text Book: Coddington, pages 132-136, Chapter 3, Linear equations with Variable coefficients.
Variable coefficients-Continuation	5-2-2015	Text Book: Coddington, pages 111-132, Chapter 3, Linear equations with Variable coefficients.
Higher Order ODEs with Variable coefficients	20-1-2015	Text Book: Coddington, pages 103-111, Chapter 3, Linear equations with Variable coefficients.
Higher Order ODEs with real coefficients	20-1-2015	Text Book: Coddington, pages 80-90, Linear equations with constant coefficients.
Higher Order ODEs	5-1-2015	Text Book: Coddington, pages 71-80, Linear equations with constant coefficients.
Applications of Second Order ODEs in Inverse Problems	20-1-2015	Text Book: Computational Methods for Inverse Problems by Curtis Vogel, Chapter 6.
Examples of Second Order ODEs	20-1-2015	Book: A text book on ordinary differential equations by Shair Ahmad and Antonio Ambrosetti, Chapter 5.
Second Order ODEs	10-12-2014	Text Book: Coddington, pages 49-58, Linear equations with constant coefficients.

Compuations:

Topics	Posted on	Source/Reference
MATLAB Exercises on Shooting Method and Finite Difference methods	9-4-2015	Book: Numerical Methods for Engineers by Steven C Chapra and Raymond P Canale.
Shooting Method and Finite Difference Methods	5-4-2015	Book: Numerical Methods for Engineers by Steven C Chapra and Raymond P Canale.
MATLAB Exercises on Euler and RK methods	5-2-2015	Book: Numerical Methods for Engineers by Steven C Chapra and Raymond P Canale.
Numerical Methods for ODEs	12-12-2014	Book: Numerical Methods for Engineers by Steven C Chapra and Raymond P Canale.

Lecture Attendance:

Total Lecture Meetings till Minor-1 are 9

Total Lecture Meetings between Minor-1 and Minor-2 are 8

Total Lecture Meetings after Minor-2 are 11

Tutorial Attendance Before Minor-1:

Tutorial Classes on Tuesdays

Tutorial Classes on Thursdays

Tutorial Classes on Fridays

Minor-1: Question Paper, Solutions, Marking Scheme and Attendance,

Minor-1-Question-Paper

Solution-Question-1-Marking-Scheme

Solution-Question-2-Marking-Scheme

Solutions-Question-3-Marking-Scheme

Minor-1-Atendance

Minor-1-Marks

Minor-2: Question Paper, Solutions, Marking Scheme and Attendance,

Minor-2-Question-Paper

Marking-Scheme

Minor-2-Atendance

Minor-2-Marks

Tutorial Sheets

Tutorial Sheets Date of Distribution

Tutorial-1 5-1-2015

Tutorial-2 5-1-2015

Tutorial-3 5-1-2015

Tutorial-4 5-1-2015

Tutorial-5 5-1-2015

Tutorial-6 5-1-2015

Tutorial-7 5-1-2015

Textbooks
Earl Coddington An introduction to Ordinary Differential Equations, Prentice Hall India 2003.
Reference Books:
Differential Equations: Theory, Technique and Practice, TATA McGraw-Hill 2011, by George F. Simmons and Steven G. Krantz

A text book on Ordinary Differential Equations, by Shair Ahmad and Antonio Ambrosetti, Springer, 2013

Evaluation

Minor I 25%

Minor II 25%

Major 50%

V. V. K. Srinivas Kumar

Tutorial Sheets	Date of Distribution
Tutorial-1	5-1-2015
Tutorial-2	5-1-2015
Tutorial-3	5-1-2015
Tutorial-4	5-1-2015
Tutorial-5	5-1-2015
Tutorial-6	5-1-2015
Tutorial-7	5-1-2015