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.  14:1515:00  Room 922, SB2  Ola 
Friday  08.12.  13:1514:00  Room 922, SB2  Ola 
Wednesday  13.12.  13:1515:00  Room 1148, SB2  Espen 
Thursday  14.12.  13:1515:00  Aud. S4  Espen, Ola 
Saturday  16.12.  Exam 913 
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 45 students over a 3 week period. 
21.09.  Selfstudy 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 9:1510:00 (in B1) and Thursday 11:1512:00 (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. 4.34.5 (3.335 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. 4.34.5 (3.335 in 8th ed.): ODEs w const coeff., phase plane, stability, equilibrium pts, linearization. 
21.09.  Read Slides on quenching reaction. 
Mon  Tue  Wed  Thur  Fri  

08:15  09:00  Lecture, 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  15:00  Office hour, 748 SB2  
15:15  16:00  
16:15  17:00  
17:15  18:00 