This schedule is subject to change.
Date | Topic |
Tues 1/15 |
Introduction |
Thurs 1/17 | Fixed points - exploration |
Tues 1/22 |
Fixed points - exercises |
Thurs 1/24 | Classifying fixed points - exploration |
Tues 1/29 |
Classifying fixed points - exercises |
Thurs 1/31 | Classifying fixed points - mini-project |
Tues 2/5 |
Complex dynamics |
Thurs 2/7 | Periodic points - exploration |
Tues 2/12 |
Periodic points - exercises |
Thurs 2/14 | Periodic points - mini-project |
Tues 2/19 |
One-dimensional dynamics - examples and applications |
Thurs 2/21 | Sharkovskii's theorem - exploration |
Tues 2/26 |
Sharkovskii's theorem - exercises |
Thurs 2/28 | Bounded orbits and fractal sets - exploration |
Tues 3/4 |
Spring break |
Thurs 3/6 | |
Tues 3/11 |
Bounded orbits and fractal sets - exercises and mini-project |
Thurs 3/13 | Sensitive dependence - exploration |
Tues 3/18 |
Sensitive dependence - exercises |
Thurs 3/20 | Symbolic dynamics - exploration |
Tues 3/25 |
Symbolic dynamics - exercises |
Thurs 3/27 | Symbolic dynamics - mini-project |
Tues 4/1 |
Topological entropy, two-dimensional dynamics |
Thurs 4/3 | Two-dimensional dynamics |
Tues 4/8 |
Systems of differential equations |
Thurs 4/10 | More systems of differential equations |
Tues 4/15 |
Lorenz equations |
Thurs 4/17 | Chaos in the Lorenz equations |
Tues 4/22 |
More chaos in the Lorenz equations |
Thurs 4/24 | Present final projects |
Tues 4/29 | Present final projects |