清大數學系重量級教授退休前的最後一堂課，讓許世璧教授以嚴謹仔細的教學，讓你從源頭開始輕鬆理解ODE！沒上過許世璧教授的課，別說你懂常微分方程！體驗經典，就是現在！Want to understand ODE? Now, no longer hesitate, take the last chance to see how NTHU math titan, Prof. Sze-Bi Hsu copes well with this quite complicated subjects.
Ordinary differential equations has wide applications in all areas of natural science, social science, and is fundamental to other areas of mathematics, such as partial differential equations, geometry, and probability. This course is intended for graduate and advanced undergraduate students who have taken standard undergraduate courses for differential equations, linear algebra, and
complex analysis. Topics to be covered in the spring semester include Lyapunov stability, index theory, perturbation methods, Sturm-Liouville theoy, Hamiltonian systems.
Registered students are recommended to use the iLMS e-learning system
assistant if you have any question.
演講及計算 Lecture and calculation
♠ Chapters 5-9 of the textbook. (tentative)
Stability of Nonlinear Systems
Method of Lyapunov Functions
Second Order Linear Equations
The Index Theory and Brouwer Degree
Introduction to Monotone Dynamical Systems