TMA4195 Mathematical Modelling - Fall 2017


Welcome to TMA4195

  • Questions? Check these extensive course web pages first (see left menu).
Date Title Message
20.12. Exam and updated solutions Exam and Solution

Project comments and scores Now available, see 'Modeling Project' in left menu.

Merry Christmas and happy new year!

01.12. Survey on the course Give us direct feedback on the course, answer this short survey (max 5 min).

[Created by the reference group, based on a survey from an other course]

Final curriculum Now available, see 'General Information' in the left menu.

Office hours before the exam
Date Time Room Person
Monday 27.11. 14:15-15:00 Room 922, SB2 Ola
Friday 08.12. 13:15-14:00 Room 922, SB2 Ola
Wednesday 13.12. 13:15-15:00 Room 1148, SB2 Espen
Thursday 14.12. 13:15-15:00 Aud. S4 Espen, Ola
Saturday 16.12. Exam 9-13
23.11. This week Last week of teaching. Repetition and exam problems. We fix the office hours before the exam.
Reference group Final meeting Friday 24.11.
26.10 Project published Modeling of heat pipes (updated 7/11)
23.10 Project info Projects published: Thursday 26.10.2017

Info meeting: Monday 30.10.2017

Before the info meeting:
— Read through projects,
— Read carefully project info on www (see 'Modeling Project' in left menu)
— Meet with you group to start organizing your work

Deadline reports and slides and presentations: Thursday 16.11.2017

All info: See 'Modeling Project' in left menu.
19.10 Homework Preparation for next week:
Read Kreyszig 10th edition chp. 12.7 (9th edition chp. 12.6) about the solution of the Heat equation using the Fourier transform.
Reference group Meeting Thursday 19.10., see 'Reference group' in the left menu for the outcome.
09.10. Modeling groups Now available, see 'Modeling Project' in left menu.

Check that the groups are correct, and contact me if there is any problem.
Slides Slide on method of characteristics available, see 'Lectures' in the left menu.
Homework Read '3.2 Generalizations of the Kinetic Theory' in the note 'Models based on conservation principles' by Krogstad. See 'notes' in the left menu.
01.10. Project The modeling project is optional and to take it you must register by October 2.

It counts for 25% of the final grade whether you take it or not.

You will work on a modeling problem in a group of 4-5 students over a 3 week period.
21.09. Self-study week
Mon 25.09. - Fri 29.09.
Read Population Models or chapter on Population Models in compendium.
Work on Exercise set 6 (and 5).

No lectures – extra problem sessions w assistents:
Monday 9:15-10:00 (in B1) and Thursday 11:15-12:00 (in EL4).

Relevant for the exam.
Homework After the Thursday lecture on Quenching reaction: Read Slides on quenching reaction.

After the Monday lecture on Aggregation of Amoebae: Read Linear stability analysis and agregation of Amoebae

Preparation for the week: Read Kreyszig (9th edition) chp. 4.3-4.5 (3.3-3-5 in 8th ed.):
ODEs w const coeff., phase plane, stability, equilibrium pts, linearization.
Solving ODEs In this course you need to know how to solve

— 1st order ODEs (separation of var's, integrating factor).

— 2nd order linear ODEs (exponential solution, characteristic eq'n, inhomogeneous eq'ns, general sol'n)

If your memories of this material are wage, please do a quick review!
The material is covered e.g. by the course TMA4110 Matematikk 3 at NTNU.
08.09. Homework After Thursday's lecture on a kidney model: Read
1. Slides on kidney modeling
2. Lin and Segel chapter 8, on the kidney model discussed in the lecture, see lecture note in Blackboard.
28.08. Homework problems I strongly recommend you to do these,
they are essential for the understanding and mastery of this course.
First problem session Thursday August 31. As a special service there will be two assistants present.
15.08 First lecture Monday August 21
Lecture note Most of these notes are available under 'Notes' in the left menu.

PDF of complete lecture note is now available on Blackboard.
PDF notes VS lectures They are close and both cover (most of) the curriculum. But the notation, emphasis, derivations, and some techniques may be slightly different.

If you are able to take good notes during my lectures, then these notes correspond to the way I would best like to understand this course.
Lecture slides Most lectures will start with slides.
I plan to post these slides in advance (see 'Lectures' in left menu).
Learning outcome See the Course Description.
Homework problems:

Solving problems is a very important part of the course and the curriculum, and relevant for the exam.
If you are serious about learning this course, you have to do these problems.

  • Problem sets will be available Thursdays before the problem sessions – or earlier.
  • Solutions will be available Tuesdays after problem sessions.

Other homework:

19.10. Read Kreyszig 10th edition chp. 12.7 (9th edition chp. 12.6) about the solution of the Heat equation using the Fourier transform.
09.10. Read '3.2 Generalizations of the Kinetic Theory' in the note 'Models based on conservation principles' by Krogstad. See 'notes' in the left menu.
07.09. Read slides on kidney modeling
Read Lin and Segel chapter 8, see online lecture note (about the Kidney model discussed in the lecture)
13.09. Review if necessary solving 1st order ODEs and linear 2nd order ODEs
18.09. Read Linear stability analysis and agregation of Amoebae

Kreyszig (9th edition) chp. 4.3-4.5 (3.3-3-5 in 8th ed.):
ODEs w const coeff., phase plane, stability, equilibrium pts, linearization.
21.09. Read Slides on quenching reaction.
MonTueWedThurFri
08:15 - 09:00Lecture, B1    
09:15 - 10:00    
10:15 - 11:00   Lecture, EL4 
11:15 - 12:00    
12:15 - 13:00   Exercises, EL2 
13:15 - 14:00     
14:15 - 15:00Office hour, 748 SB2    
15:15 - 16:00     
16:15 - 17:00     
17:15 - 18:00     
2017-12-20, Espen Robstad Jakobsen