Recent Changes

• Changed Thu 26 Apr 2018 13:45:58 IST

  • Posted solutions to Assignment 3.

• Changed Tue 27 Mar 2018 14:17:55 IST

  • Updated the notes on the Calculus of Variations again. Will eventually add the proof of Noether's theorem and the version for higher order Lagrangians, neither of which is examinable.

• Changed Sat 24 Mar 2018 12:47:14 GMT

  • First update of lecture notes on the Calculus of Variations. There will be a second update.

• Changed Fri 23 Mar 2018 12:53:52 GMT

  • Posted notes on Calculus of Variations and Noether's Theorem. These will be expanded a bit later, but should suffice for the assignment.

• Changed Thu 22 Mar 2018 16:55:36 GMT

  • Posted solutions to Assignment 2.

  • Posted Assignment 3.

Older changes are recorded in the change log.

Content

This module will cover the following topics, in order:

• First order scalar partial differential equations
• Distributions and fundamental solutions
• Calculus of variations and Noether's Theorem

Text

There is no official textbook for the course. I will occasionally provide notes here for things which are hard to find elsewhere.

Title	File
First Order Scalar Equations (Theory)
First Order Scalar Equations (Examples)	first_order_scalar_examples.pdf
Distributions and Fundamental Solutions	Carlsson.pdf
Calculus of Variations	calculus_of_variations.pdf

The notes from the first part are still only half finished.

We'll only cover parts of Carlsson's notes in the second part of the module.

Exams

There will be single exam during the usual annual exam period, worth 90% of your course mark. We are not allowed to announce exam dates and locations on course web pages.

Assignments

Assignments will count for 10% of your course mark. They will be posted here. They will not be distributed in class. They are due at the start of lecture on the day indicated. Solutions will be posted here once the assignment has been corrected.

Assignment	Due	Version	Problems	Solutions
1	14 February 2018	Id: 342H-2017-2018-1.m4,v 1.5 2018/04/10 12:55:24 jgs Exp jgs	PS PDF	PS PDF
2	14 March 2018	Id: 342H-2017-2018-2.m4,v 1.1 2018/03/07 14:36:26 jgs Exp jgs	PS PDF	PS PDF
3	29 March 2018	Id: 342H-2017-2018-3.m4,v 1.2 2018/04/10 12:20:43 jgs Exp jgs	PS PDF	PS PDF

Tutorials

There are no tutorials scheduled for this course. I will sometimes take some time out from lecture to discuss a recent assignment or, less often, the current assignment, but usually I will just rely on you reading the posted solutions and paying attention to any hints given in the statement of the problems.

Past Module Webpages

This module is taught in alternate years. It was taught two years ago by Paschalis Karageorgis and two years before that by me. Previously there was no module with this code, but the content is largely unchanged from the old MA 2326, which was taught in the second semester. In 2015 and 2014 were taught by me. The content varies from year to year. Some of this year's material appeared previously in MA 3426 when that was still a thing. In particular, distributions and fundamental solutions appeared there in 2013.

Please direct comments, queries and corrections to stalker@maths.tcd.ie.