Advanced Ordinary Differential Equations

Course ID: SHHSEN020130701001
Discipline: Science/Applied Mathematics
Registration recommendations: International Undergraduate or Graduate Students
Prerequisites: Ordinary Differential Equations
Lecture Hours & Credits: 60 leture hours/3 credits
Project year: 2013

华东师范大学
Mathematics

汪志鸣

Professor Zhiming Wang receives Ph.D. in System Science in 2004 in East China Normal University. His main research interests are in control theory; singular perturbation and complex networks. He has published more than 50 academic research papers in peered review journals both in China and abroad. He visited Melbourne University in Australia for one year in 2000, and St. Olaf College in United States from February to July in 2012. He also taught math for five years at Evelyn Hone College, Lusaka, Zambia during 1988-1991 and 1995-1997.

Objectives

The math department of ECNU started all English graduate program of applied mathematics for international math students since 2010, including both Master and PhD, in response to the strategies of this university for the development of internationalization. This course is compulsory for this applied mathematics program.

Contents

This course requires international math students who have studied ordinary differential equations during undergraduate study. While one assumes some required knowledge of linear algebra, advanced calculus, and analysis. This course covers 4 main parts: the theory on existence and uniqueness; the theory on linear differential systems; stability theory, and introductory dynamic systems. Chapter One. Some Math Preliminary Chapter Two. Basic Theory of Differential Equations Chapter Three. Linear Differential Systems Chapter Four. Stability Theory Chapter Five. Introductory Dynamic Systems.

Textbooks and Reference Books

[1] Ravi P. Agarwal and Donal O’Regan, An Introduction to Ordinary Differential Equations, Springer, Universitext, 2008. [2] Carmen Chicone, Ordinary Differential Equations with Applications, Springer, Texts in Applied Mathematics 34, 1999. [3] Lawrence Perko, Differential Equations and Dynamic Systems, Springer, 3rd. Springer, Texts in Applied Mathematics, 2001.

Relatived Courses

Calculus

Probability and Statistics

Probability and Statistics