A tentative course schedule is below. The text is "Population Biology" by Hastings. The book "Mathematical Models in Biology" by Edelstein-Keshet will be on reserve for the course. I will also try and get out via e-mail notes (perhaps scanned versions or perhaps retyped versions). Grading will be based on homework assignments (70%) and a take home final (30%). The lecture schedule is tentative because my goal here is to teach and not to lecture. Class is 1:40-3:00 P.M. in 108 Hoagland.
Instructor: Alan Hastings, 3136AWickson 2-8116 email:amhastings@ucdavis.edu
These will be sent via e-mail using the class e-mail list.
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DATE
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TOPIC
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READING IN EDELSTEIN-KESHET
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READING IN HASTINGS
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9/24
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introduction, model formulation
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pages 3-11
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Pages 1-5
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9/29
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qualitative behavior of difference
equations using linear algebra-part 1
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pages 12-21
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Pages 9-38
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10/1
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qualitative behavior of difference
equations using linear algebra-part 2
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| 10/6 | Complex eigenvalues, steady states, stability of difference equations< | Pages 22-25, 39-44 | Pages 41-60 |
| 10/8 | more on steady states and stability of difference equations | pages 55-60 | Pages 181-188 |
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10/13
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chaos and all that
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pages 46-55
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Pages 96-101
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10/15
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Nicholson-Bailey dynamics
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10/20
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model formulation and dimensional analysis
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pages 113-128
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Pages 81-87
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10/22
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steady states and stability of
differential equations
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pp. 128-145
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Pages 87-92;119-128
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10/27
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linearization and linear systems for
differential equations
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| 10/29 | linear systems of differential equations and stability criteria | ||
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11/3
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phase plane methods
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pages 164-186
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Pages 129-180; 189-200
for both lectures |
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11/5
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qualitative behavior of differential
equations
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pages 186-199
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11/10
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review of functions of several variables
& the diffusion equation
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pp. 385-395
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11/12
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the diffusion equation-part 2
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pages 406-410, 437- 441,447-452
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11/17
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Diffusion equations-part 3
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| 11/19 | Diffusion equations-part 4 | ||
| 11/24 | Stochasticity | ||
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12/1
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Stochasticity
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12/3
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WORK ON TAKEHOME FINAL
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12/8
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FINAL EXAM DUE-noon
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There are installation instructions for windows.