Lectures
Tentative Plan
| Week | Theme | Slides | Home Work | Remarks |
|---|---|---|---|---|
| 34 | Introduction Dimensionsional analysis Flow in pipe | Thursday | ||
| 35 | Summary of Dimensional Analysis Scaling Example: Falling bullet Regular perturbation | Monday Thursday | Exercise 1 | |
| 36 | The projectile problem Flo-Jo's 100m world record Kidney modeling | Monday | Exercise 2 | Self-study: Slides on kidney modeling |
| 37 | Singular perturbation Chemical reaction kinetics | Thursday | Exercise 3 | |
| 38 | Stability and bifurcations Chemotaxis of amoeba Quenching-reactor | Monday Thursday | Exercise 4 | Self-study 1: Kreyszig (9th edition) chp. 4.3-4.5 (3.3-3-5 in 8th ed.) Self-study 2: Slides on quenching reaction |
| 39 | The logistic equation the world population Competition for resources Lotka-Volterra models | Exercise 5 and 6 | Self-study week: Read Population Models (or chapter on Population Models in compendium) Work on Exercise 6 No lectures. |
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| 40 | Conservation principles Conservation laws 1st order PDEs Method of characteristics | Thursday | Exercise 6 | Notes: On the method of characteristics Solution of first order PDEs Endimensjonale konserveringslover |
| 41 | Traffic modelling Boundary value problems for conservation laws Traffic: "Red light" and "2 to 1 lanes" | Monday | Exercise 7 | Note: Boundary value problems for conservation laws |
| 42 | Conservation laws in mechanics Flood waves in river | Thursday | Exercise 8 | |
| 43 | Diffusion, properties Intermediate asymptotics Nuclear power plant | Monday Thursday | Exercise 9 | Self-study: Solution of Heat equation using the Fourier transform. Kreyszig 10th edition chp. 12.7 (9th edition chp. 12.6) |
| 44 | Introduction to the project MODELING PROJECT | Homework: Read through the project problems before the Monday lecture! | ||
| 45 | MODELING PROJECT | |||
| 46 | MODELING PROJECT Presentations |
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| 47 | Old exam problems | |||