Instructor: Di Fang Please read the Syllabus carefully!
Lecture: Tuesdays and Thursdays, 2:00--3:29pm, 3111 Etcheverry ⇒ Berkeley time!
Office Hours: Tue 3:40-4:39pm and Wed 3:00-3:59pm, 843 Evans Hall ⇒ Not Berkeley time!
Textbook: The Qualitative Theory of Ordinary Differential Equations by Fred Brauer and John A. Nohel.
Supplementary materials: L. Perko, Differential equations and dynamical systems. (a number of topics will follow this book and be summarized in my notes. So one does not need to purchase this book.)
Email: email@example.com ⇒ Please kindly include Math 123 in the subject line when emailing.
Teminology; Review: techniques and tricks; the need for theory
Theory of ODEs: existence, uniqueness, continuation.
Linear Systems (with an intro to phase space analysis)
Stability theory and Lyapunov method
Basic dynamical systems, flow, chaos
Applications and additional topics as time permits, e.g. biological models (flocking of birds), control theory.
This is a proof-based class. We will go over a number of theorems on the fundamental theory of ODEs, and also learn a number of basic analysis techniques -- such as the perturbation method, the fixed point argument, the bootstrapping argument -- that could be useful for future study in analysis.
(Things are subject to change. Once it happens I will let you know.)