# TMA4305 Partial Differential Equations - Fall 2023

### Messages

**Exam:**- Exam 12.XII.2023, Solutions. Solution of 6b: the last term is +exp(xy), sign!
- INFO AT THE END OF THIS PAGE. NOTICE "YELLOW A4".
*Office hours in the advent of the exam: Tuesday 28.IX, 14 - 16 and Friday 1.XII, 10 -12. Tuesday 5.XII, 14 -16. Place SB II room 1129*

- Welcome to TMA4305 Partial Differential Equations!
- 1st lecture: Tuesday 22.8.2023 in VA2, 14-16 o'clock.
- THIS IS NOT AN INTERNET COURSE.
- 1st exercise class: Wednesday 30.8.2023 in El4, 10-11 o'clock.
- These pages will be updated regularly throughout the whole semester. As a consequence, Blackboard will be used as little as possible, i.e., for important or urgent announcements or other information that does not need to be visible to the entire world.

### General information

### Lecturer

- Office 1129, Sentralbygg 2
- Office hours: by appointment
- (Harald Hanche-Olsen lectured week 43 and 44)

### Lectures

*He who can, does. He who cannot, teaches. (G. B. Shaw)*

- Tuesday 14:00-16:00 VA2
- Friday 10-12 K26

### Exercises

*Activity is the only road to knowledge. (G. B. Shaw)*

- Wednesday 10:00-11:00 in El4.
- A problem set will be given each week.
- The problem sets will be supervised in the exercise class. They are part of the curriculum, but are not required to be handed in.
- In general the exercise class is the right place to
- get help with the problem sets
- discuss and ask questions about the material covered in the course

### Books and reading material

**Main book:**David Borthwick:*Introduction to Partial Differential Equations.*- A current list of errata is available here
- Note that you can get the PDF from Springerlink (you must be inside the NTNU network, either physically or via VPN, to get it).
**I might supplement this book with a few notes and material from other sources.**

**Some other good PDE books:**- P. Olver: Introduction to Partial Differential Equations, Springer.
- S. Salsa: Partial Differential Equations in Action, Springer.
- L. C. Evans: Partial Differential Equations, AMS. [Advanced]
- J. D. Logan: An Introduction to Nonlinear Partial Equations. [Easy to read. Many "new" Equations.]
- W. Strauss: Partial Differential Equations. [An elementary f i r s t introduction. Examples]

### Curriculum 2023

From Borthwick's book (see further below for bibliographic detail) – but note that the introductory sections on model problems for the various equations are for information only; you are not expected to have detailed knowledge of these models or how they are derived.

- Ch 1 (self study)
- Ch 2 (background material for much of the book)
- Ch 3
- Ch 4
- Ch 6
- Ch 7 (background material, no proofs)
- Ch 9
- Ch 10 (10.4 without proof)
- Ch 11 (Not 11.4. And 11.6 without proof)
- Ch 12

In addition:

- The exercises
- Notes by Harald Hanche-Olsen
- Chapter 4.4 in P. Olver: Introduction to partial differential equations, Springer.

**Note:** The notes and the material from other sources might overlap with Borthwick's book.

### Reference group

- If you have any remarks, request, complaints etc. regarding this course, contact the lecturer or the reference group. More members are welcome.

#### Members:

- Ellen Skrimstad …. ellenskr@stud.ntnu.no
- Torgeir Lysen …. torgeikl@stud.ntnu.no
- Olav H. Haaland …. olavhha@stud.ntnu.no

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### Exam

- Dato: 12.12.2023
- classical written exam, 4 hours
- Support material code C: Specified printed and hand-written support material is allowed. A specific basic calculator is allowed.
- One yellow, stamped A4 sheet with own, handwritten formulas and notes (on both sides). Such sheet can be picked up outside the department office in the 7th floor, SBII.
- No other printed or hand-written support material is allowed.

- Since the course was taught in English, the exam will be given only in English. Students are free to answer in Norwegian or English.