WClasses

AMATH 751 - Advanced Ordinary Differential Equations

Qualitative theory of systems of ODEs. Topics include: existence/uniqueness of solutions, comparison principle, iterative techniques, stability and boundedness, Lyapunov method, periodic solutions, Floquet theory and Poincare maps, hyperbolicity, stable, unstable and center manifolds, structural stability and bifurcation. Applications from various areas will be used to motivate and illustrate the theory. A previous course in ordinary differential equations at the undergraduate level is strongly recommended.

Prerequisites

Corequisites

None

Antirequisites

None

Offerings

Fall 2025 [1259]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6526	8 / 16	10:00 - 11:20	M,W

Fall 2023 [1239]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6397	4 / 16	14:30 - 15:50	T,Th

Fall 2022 [1229]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	7506	0 / 20

Fall 2021 [1219]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6583	10 / 20				Xinzhi Liu
LEC 002	11080	4 / 40				Xinzhi Liu
TUT 101	10290	10 / 20	14:30 - 15:50	W	MC 4064	Xinzhi Liu

Fall 2020 [1209]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 041	6479	15 / 40				Xinzhi Liu

Fall 2019 [1199]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6311	13 / 20	10:00 - 11:20	M,W	MC 6460	Xinzhi Liu

Fall 2018 [1189]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6169	16 / 20	14:30 - 15:50	M,W	MC 6460	Jun Liu

Fall 2017 [1179]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6295	6 / 25	14:30 - 15:50	M,W	MC 6460	Xinzhi Liu

Fall 2016 [1169]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6293	14 / 25	14:30 - 15:50	M,W	MC 6460	Xinzhi Liu

Fall 2015 [1159]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6594	7 / 25	14:30 - 15:50	M,W	MC 5417	Xinzhi Liu

Fall 2014 [1149]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	6304	14 / 25	14:30 - 15:50	M,W	MC 6496	Xinzhi Liu

Fall 2013 [1139]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	7331	6 / 25	11:00 - 12:20	T,Th	MC 5045	Sue Ann Campbell

Fall 2011 [1119]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	7226	6 / 25	13:30 - 14:20	M,W,F	MC 4062	David Siegel

Fall 2009 [1099]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	7098	7 / 25	14:30 - 15:50	M,W	MC 2018B	Xinzhi Liu

Fall 2007 [1079]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	5261	15 / 25	14:30 - 15:50	M,W	MC 5158A	Xinzhi Liu

Fall 2005 [1059]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	4791	9 / 25	13:30 - 14:50	M,W,M,C		Sue Ann Campbell

Fall 2003 [1039]

Section	Class	Enrolled	Time	Days	Location	Instructor
LEC 001	4171	7 / 25	11:00 - 12:20	T,Th,M,C		Sue Ann Campbell

Fall 2001 [1019]

Section	Class	Enrolled	Time	Days	Location	Instructor
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