TMA401 / MMA400 Functional analysis Autumn 21

TMA401 / MMA400 Functional analysis Autumn 21

Course PM

This page contains the program of the course: lectures and exercise sessions. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.

Program

The schedule of the course is in TimeEdit.

Lectures

Week  Chapter  Contents
   1   DM1, K  Introduction, vector spaces, completeness
   2   DM1, K  Banach spaces, linear mappings, fixed point theory
   3   K  Fixed point theory (cont.), Lp-spaces
   4   K, DM3  Lp-spaces (cont.), Hilbert spaces
   5   DM4  Linear operators on Hilbert spaces
   6   DM4, K  Compact operators, spectral theory
   7   DM5, K  Applications to ODE
   8  Question session

 

 Week  Exercises
   1  DM1: 1, 5, 13, 14, 36, 37, 40, 45
   2  K7.2: 11, 12, 13, 17
 K7.3: 11
   3  K7.4: 2, 6, 7, 14, 16, 17
   4  K7.5: 1, 9, 10, 11, 12, 19, 37
   5  K7.6: 2, 3, 4, 5, 6, 9
   6  K7.6: 14, 16, 29
   7  K7.7: 1, 2, 16, 24, 25

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Recommended exercises

Day Exercises

 

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Computer labs

There are no computer labs in this course. 

Reference literature:

  1. Learning MATLAB, Tobin A. Driscoll. Provides a brief introduction to Matlab to the one who already knows computer programming. Available as e-book from Chalmers library.
  2. Physical Modeling in MATLAB 3/E, Allen B. Downey
    The book is free to download from the web. The book gives an introduction for those who have not programmed before. It covers basic MATLAB programming with a focus on modeling and simulation of physical systems.

 

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Course summary:

Date Details Due