Autumn 2018 - PDE I

This is an introductory linear PDE course at the PhD level. A syllabus for the course can be found at this

link under Math 817 .

Grading scheme: the full grade for the course is divided into

1. Two quizzes of reasonable length, one before and one after the mid-semester exam, 10% each

2. Mid-semester exam, 25%

3. Final exam, 40%

4. Homework, 15 %

Schedule: the class meets twice a week, Tuesday/Friday 7 pm - 8:25 pm, and extra problem sessions

every alternate Saturday starting 11 am.

Office Hours: Tuesday 3:30 pm - 4:30 pm.

References: we will indulge in shameless usurpation of teaching material from various standard resources.

Still, the standard references will be:

1. Jeffrey Rauch, Partial differential equations. GTM 128, Springer-Verlag, New York, 1991. x+263 pp.

2. Michael E. Taylor, Partial differential equations I. Basic theory. Second Edition, Applied Mathematical

Sciences, 115. Springer, New York, 2011. xxii+654 pp.

Contact information:

Email: mathmukherjee@gmail.com or mukherjee@math.iitb.ac.in

Office: B1-B, Math Department (in the basement)

Miscellaneous ramblings:

1. There is no strict attendance policy, but such is strongly encouraged.

2. Regarding the homework, one is encouraged to discuss/collaborate with others, but final answers must

be scribed individually.

3. One is strongly encouraged to consult other standard texts in the field, to appreciate different tastes in

selection of materials, or differing slants on the same material.

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Miscellaneous Problem Set