The exam starts at 14.00. The zoom link:

https://chalmers.zoom.us/j/69476110727 (Links to an external site.)

works from 13.30. Try to make sure that you are there early to show your IDs. 

Exam (available from 14.00):

MMG710_ExamAugust2020.pdf

Solutions will be published around 18.30 (you have 30 min after 18.00 to scan your solutions). 

Instructions:

• Exam problem solutions involving calculations, figures, diagrams etc. should be solved on paper as in a normal exam.
  • Make sure that each paper is clearly marked with your name, exam problem number and page number.
  • Scan or photograph your solutions. Make sure to have a good lightning and preferably use a document scanning app, e.g. CamScanner or Genius Scan.
  • Name your image files Problem_YY_Page_XX. Example: Problem_01_Page_02.jpg. 
  • If you want, you can combine images for the same problem into a single document (e.g. Word or PDF) named Problem_YY. 
  • Submit your solutions by uploading the image files or documents via Canvas before the due date/time.

More information is available here:

https://chalmers.instructure.com/courses/9893/pages/instructions-to-students-how-to-transform-handwritten-notes-to-digital-format?module_item_id=74069

Course PM

The course consists of  

1. Lectures  

2. Problem sessions (Thursdays)

3. Home assignments (4 in total - these can be found in the PM).

Additional information, such as learning outcomes, teachers, literature and examination, can be found in the separate course PM.

Exams

Exam Monday Oct 28, 2019: Exam + Solutions

Exam Thursday Jan 9, 2020: Exam + Solutions

 

Program

The schedule of the course can be found in TimeEdit. 

Lectures

Lecture notes (LN) (updated regularly). 

Additional exercises from Folland's book (AE) (Note that the definition of the Fourier transform in this book lacks the 2\pi-factor, hence the formulas are slightly different from ours).

Abbreivation: Lecture notes (LN), Stein-Shakarchi (SS).

 Before the exam, please take a look at the following list of skills that you are to acquire.

Day	Topics	Recommended exercises
Tuesday 3/9 13.15-15.00	Intro to HA1. Fejer's Theorem I	LN 1-7, SS 4,5,6,11 [Chapter 2]. Solved examples (LN): 1,3,6
Wednesday 4/9 15.15-17.00	Fejer's Theorem II.
Thursday 5/9 8.00-09.45	Problem session
Monday 9/9 13.15-15.00	Parseval's Theorem I	LN 8-14, SS 3, 6, 9 [Chapter 3]. Solved examples (LN) 9,10,13,15
Tuesday 10/9 13.15-15.00	Parseval's Theorem II
Wednesday 11/9 15.15-17.00	Various constructions
Thursday 12/9 8.00-9.45	Exercise session	AE 36,38,39,41,44,45,47 Solved examples: 39,41a,44
Monday 16/9 10.00-11.45	Fourier transforms on the real line I: Fejer's Theorem	LN 18-25, AE 59,60,61,62,65 Solved examples: LN 18-23
Tuesday 17/9 13.15-15.00	Fourier transforms on the real line II: Plancherel's Theorem.
Wednesday 18/9 15.15-17.00	Fourier transforms on the real line II: Poisson summation
Thursday 19/9 8.00-9.45	Exercise session
Monday 23/9 10.00-11.45	PDEs	AE: 11-17, 25-28 + Old Exams (last questions).
Tuesday 24/9 13.15-15.00	PDEs
Wednesday  15.15-17.00	Heisenberg's uncertainty relation
Thursday 8.00-9.45	Exercise session
Monday 10.00-11.45	Fourier transforms in higher dimensions I	SS: 1,2,4,5,8,13 and Problem (SS):  1,2.
Tuesday 13.15-15.00	Fourier transforms in higher dimensions II
Wednesday 15.15-17.00	Radon transform
Thursday 8.00-9.45	Exercise session
	Laplace
	Laplace
	Laplace
	Laplace	AE 76-81

 

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Recommended exercises

Day	Exercises

 

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