====== Lectures ======

===== Temporary plan - changes may be made=====
\\
^Week ^Theme         ^Home Work  ^Remarks ^
| 34  | Introduction \\ Dimensionsional analysis \\ Flow in pipe | | |       
| 35  | Summary of Dimensional Analysis \\ Scaling \\ Example: Falling bullet \\ Regular perturbation| Exercise 1 |   |
| 36  | The projectile problem \\ Flo-Jo's 100m world record \\ Kidney modeling  | Exercise 2 | **Self-study:** [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/Krogstad/KidneyCaseStudy.pdf|Slides on kidney modeling ]] |
| 37  | Singular perturbation \\ Chemical reaction kinetics | Exercise 3 |  |
| 38  | Stability and bifurcations \\ Chemotaxis of amoeba \\  Quenching-reactor  | Exercise 4 | **Self-study 1:** Kreyszig (9th edition) chp. 4.3-4.5 \\ (3.3-3-5 in 8th ed.) \\ **Self-study 2:** [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/Krogstad/QuenchingReaction2009.pdf|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 [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/Krogstad/PopulationModels2011.pdf|Population Models]] \\ (or chapter on Population Models in compendium)\\ Work on Exercise 6 \\ No lectures. |
| 40 | Conservation principles \\ 1d conservation laws \\ 1st order PDEs \\ Method of characteristics | Exercise 6 | Notes: \\ [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/ERJ/NoteMethodOfCharacteristicsPub09.pdf|On the method of characteristics]] \\ [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/Krogstad/SolutionFirstOrderPDE.pdf|Solution of first order PDEs]] \\ [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/Krogstad/EndimensjonalKonsLover.pdf|Endimensjonale konserveringslover]]    |
| 41 | Traffic modelling \\ Boundary value problems for conservation laws \\ Traffic: "Red light" and "2 to 1 lanes" | Exercise 7 | Note: \\ [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/ERJ/ConservationLawsAndBCv2011.pdf|Boundary value problems for conservation laws]] |
| 42 | Conservation laws in mechanics \\ Flood waves in river | Exercise 8 | |
| 43 | Diffusion, properties \\ Modeling of a dam | Exercise 9 | |
| 44 | Nuclear power plant \\ MODELING PROJECT || Espen in Germany on Tuesday |
| 45 | MODELING PROJECT |||
| 46 | MODELING PROJECT \\ Presentations |||
| 47 | Old exams |||