In today's lecture: I introduced ¡­

In today's lecture: I introduced a population model and solved the resulting ODE explicitly. The invariant region and asymptotic behavior of the ODE were described. The Fisher-Kolmogorov equation was also studied. A finite difference scheme was introduced.

In the next lecture: We find suitable conditions on the scheme to ensure an invariant region. An invariant region for the PDE and its asymptotic behavior will be studied.

Group lesson this friday: Prepare exercises 5.9, 5.11 and 11.1