Week 1: EK: Sections 9.1-9.3
Week 2: EK: Sections 9.4, 9.5, 9.7
Week 3: Age-structured model (dV 4.2), fundamental solution of the diffusion equation (dV 4.3.2)
Week 4: Spruce budworm model, critical domain size, steady-state solut
ions of PDEs, hamiltonian (dV 4.3.3), introduction to traveling waves (examples, and dV 4.3.4).
Week 5: Traveling waves, non-dimensionalization. Spreading colonies
of microorganisms (EK p. 456), chemotaxis (EK p. 442) , tumor-induced angiogenesis (EK p. 445), spatial spread of rabies (Br, sec. 5.7)
Week 6: Spatial spread of rabies, continued. MUskrat dispersal, oak spread (Br, sec. 5.7, 5.5)
Week 7: Slime mold aggregation. (EK 11.1-11.3)
Week 8: Turing instability (Br 7.1-7.3)
Week 9: Review
Week 10: Turing instability in 2d, activator-inhibitor systems (Br 7.4)
Week 11: Bifurcations with domain size, animal coat patterns (Br 7.5)
Week 12: Primary visual cortex, hallucinations (M 12.3, article)
Week 13,14: Projects
April 27: Project presentations