Lecture plan/topics

This plan will be updated throughout the semester.

Day Topic Sections Remarks
1.10 Introduction 1.1,1.2,1.3
1.11 Introduction 1.3,1.4,1.5,2.1
1.17 Linear Systems with Constant Coefficients 2.2
1.18 Linear Systems with Constant Coefficients 2.3
1.24 Classification and Phase Portraits for 2x2 systems 2.4,2.5,2.6
1.25 Nonlinear Systems: Local Theory 3.1,3.2
1.31 Nonlinear Systems: Local Theory 3.2,3.3
2.01 Nonlinear Systems: Local Theory 3.3
2.07 Nonlinear Systems: Local Theory 3.3
2.08 Nonlinear Systems: Global Theory 4.1,4.2
2.14 Nonlinear Systems: Global Theory 4.2,4.4
2.15 Nonlinear Systems: Global Theory 4.5,4.6
2.21 Nonlinear Systems: Global Theory 4.5,4.6
2.22 Trajectories Near Equilibria 6.1,6.2
2.28 Trajectories Near Equilibria 6.1,6.2
3.01 Trajectories Near Equilibria 6.1,6.2
3.07 Trajectories Near Equilibria 6.5,6.6
3.08 Trajectories Near Equilibria 6.5,6.6
3.14 Trajectories Near Equilibria 6.6,6.7
3.15 Trajectories Near Equilibria 6.7,6.9
3.21 Oscillations in ODEs 7.1,7.2
3.22 Oscillations in ODEs 7.1,7.2
3.28 Oscillations in ODEs 7.2,7.3
3.29 Oscillations in ODEs 7.2,7.3
4.04 Oscillations in ODEs 7.3
4.05 Bifurcation from Equilibria 8.1,8.2
4.25 Bifurcation from Equilibria 8.1,8.2
4.26 No lecture ***
2022-04-25, lucagal