Last modified by geritz@helsinki_fi on 2024/03/27 10:14
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1 = Mathematical modeling, spring 2012 =
2
3 === Lecurer ===
4
5 [[Stefan Geritz>>doc:mathstatHenkilokunta.Geritz, Stefan]]
6
7 === **Scope** ===
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9 10 cu.
10
11 === Type ===
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13 Advanced studies
14
15 === Prerequisites ===
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17 Basic courses in analysis, linear algebra, probability theory and differential equations.
18
19 === Lectures ===
20
21 Weeks 4-9 and 11-18, Tuesday 14-16 in room B321, Thursday 10-12 in room C122. Two hours of exercise classes per week.
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23 Easter holiday 5.-11.4.
24
25 === Exams ===
26
27 There are two ways how to get a grade for this course: either you do a regular exam, or you do a project.
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29 An exam lasts three hours and in principle covers all the material presented during the lectures. To give you an idea of what the exam may look like: [[Example-I>>attach:Sample exam I.pdf]] / [[Example-II>>attach:Sample exam II.pdf]].
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31 A project is like an elaborate homework exercise. There is no hard deadline for handing in the project report; if you can do it in a week: fine; if it takes several months: also fine. Here are some examples of projects that have been used previously and which could be used again if you like: [[Example projects>>attach:Projects.pdf]]. You may also choose your own topic, but talk to me first to see whether your plan is suitable for this course. During the project you can also ask me or Thomas for help if you get stuck.
32
33 Let me know if you want to do the exam or the project.
34
35 === Bibliography ===
36
37 **- First half of course on ODE models:**
38
39 [[24-01-2012>>attach:First lecture-a.pdf]] / [[26-01-2012>>attach:Lecture 26-01-2012.pdf]] / [[31-01-2012>>attach:Lecture 31-01-2012.pdf]] / [[02-02-2012>>attach:Lecture 02-02-2012.pdf]] / [[09-02-2012>>attach:Lecture 09-02-2012.pdf]] / [[14-02-2012>>attach:Lecture 14-02-2012.pdf]] / [[16-02-2012>>attach:Lecture 16-02-2012.pdf]] / [[21-02-2012>>attach:Lecture 21-02-2012.pdf]] / 23-02-2012 / 28-02-2012
40
41 **- Second half of course on DDE and PDE models:**
42
43 [[13-03-2012>>attach:13-03-2012.pdf]] / [[15-03-2012>>attach:15-03-2012.pdf]] / [[20-03-2012>>attach:20-03-2012.pdf]] / [[22-03-2012>>attach:Lecture 22-03-2012.pdf]] / [[27-03-2012>>attach:Lecture 27-03-2012.pdf]] / [[29-03-2012>>attach:Lecture 29-03-2012.pdf]] / [[03-04-2012>>attach:Lecture 03-04-2012.pdf]] / [[12-04-2012>>attach:Lecture 12-04-2012.pdf]] / [[19-04-2012>>attach:Lecture 19-04-2012.pdf]] / [[24-04-2012>>attach:Lecture 24-04-2012.pdf]] / [[26-04-2012>>attach:Lecture 26-04-2012.pdf]]
44
45 **- Appendices:**
46
47 [[Appendix A>>attach:Appendix A.pdf]] / [[Appendix B>>attach:Appendix B.pdf]] / [[Appendix C>>attach:Appendix C.pdf]] / (% style="color: rgb(0,51,102);" %)[[Bimolecular reaction between identical particles>>url:https://wiki.helsinki.fi/download/attachments/63734499/intermezzo%20%28into%29.PDF?version=1&modificationDate=1295535138476&api=v2||shape="rect"]] /(% class="Apple-style-span" style="color: rgb(0, 51, 102); color: rgb(0, 0, 0)" %) [[The prey-predator model of Gause>>attach:mathstatKurssit.Adaptive dynamics, fall 2010.WebHome@Gause.pdf]];
48
49 === **Exercises** ===
50
51 (% style="color: rgb(51,51,51);" %)**- First half of course on ODE models:**
52
53 [[Exercises 1-3>>attach:Exercises 1-3.pdf]] / [[Exercises 4-6>>attach:Exercises 4-6.pdf]] / [[Exercises 7-9>>attach:Exercises 7-9.pdf]] / [[Exercises 10-12>>attach:Exercises 10-12.pdf]]
54
55 **- Second half of course on DDE and PDE models:**
56
57 [[Exercises 13-16>>attach:Exercises 13-16.pdf]] / [[Exercises 17-18>>attach:Exercises 17-18.pdf]] / [[Exercises 19-20>>attach:Exercises 19-20.pdf]] / [[Exercises 21-23>>attach:Exercises 21-23.pdf]]
58
59 === Exercise groups ===
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61 |=(((
62 Group
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64 Day
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66 Time
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68 Place
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70 Instructor
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73 1.
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75 Friday
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77 10-12
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79 C122
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81 [[Thomas Vallier>>url:http://wiki.helsinki.fi/display/mathstatHenkilokunta/Vallier%2C+Thomas||shape="rect"]]
82 )))|(((
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84 )))