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