TMA4305 Partial Differential Equations - Fall 2024
Messages
- Re-sit examination:
- Support material code C: Specified printed and hand-written support material is allowed. A specific basic calculator is allowed.
- One
yellow, stampedA4 sheet with own, handwritten formulas and notes (on both sides). - No other printed or hand-written support material is allowed.
- The exam will be given only in English. Students are free to answer in Norwegian or English.
- Exercise sessions:
- 1.11: Mattelab
- 8.11 & 15.11: Exercise 10 & 11, respectively
- 21.11: Exercise session for Exercise 12 instead of the lecture
- 22.11: No exercise class
- 2nd reference group meeting: 24.10.2024, 11:00
- If you have any remarks, request, complaints etc. regarding this course, contact the lecturer or the reference group.
- Contact information: further down under reference group.
- Challenges: Take a break, but will be back with Exercise 10.
- Lebesgue spaces: Added a link to a book under books and reading material.
- Exercise 6: Since Exercise 4 covered topics from the Lectures in Week 4 and Week 5, we are one week behind with discussing the Exercises compared to the Lectures. To get back on track, Exercise 6 won't be discussed in the exercise class, but a solution will be posted at the beginning of week 41.
- Office hours: Changed to Monday 13:00-14:00
- 1st reference group meeting: 11.9.2024, 13:00
- If you have any remarks, request, complaints etc. regarding this course, contact the lecturer or the reference group.
- Contact information: further down under reference group.
- Welcome to TMA4305 Partial Differential Equations!
- 1st lecture: Thursday 22.8
- 1st exercise class: Friday 30.8
- 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 1150, Sentralbygg 2
- Office hours: Monday 13:00-14:00
Lectures
- Thursday 10:00-12:00 R92
- Friday 12:00-14:00 R92
Exercises
- Friday 14:00-15:00 R D4-132
- 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 include:
- P. Olver: Introduction to partial differential equations, Springer.
- S. Salsa: Partial Differential Equations in Action, Springer.
- L. C. Evans: Partial differential equations, AMS.
- If you want to know more about Lebesgue spaces:
- S. Axler: Measure, Integration & Real Analysis, Springer.
Final curriculum
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
- Ch 11
- Ch 12
In addition:
- The exercises
- Notes by Harald Hanche-Olsen
- First order quasilinear equations: A5 for the screen, A4 for printing
- Weak maximum principle for the heat equation: A5 for the screen, A4 for printing
- Harmonicfunctionology: A5 for the screen, A4 for printing
- Notes by Katrin Grunert, which can be found on the Lecture plan / topics page.
- 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.
Exam
- Dato: 28.11.2024, 15:00
- 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, stampedA4 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.
- The exam will be given only in English. Students are free to answer in Norwegian or English.