MATH 4120/6120			Spring 2023
Ordinary Differential Equations			Dwiggins
	TUESDAY		THURSDAY
Week # 1	Jan 17		Jan 19
		Chapter 1	§ 1.3	Sections 2.1-3
		Introduction:		Existence of Solutions
		ODE's and IVP's		Intervals of Existence
Week # 2	Jan 24		Jan 26
		Sections 2.4-5		Finish Chapter 2
		Uniqueness of Solutions		Systems of Equations
		Continuity w.r.t. IC's		Other Topics
Week # 3	Jan 31		Feb 2	HW # 1 Due
		3.1		3.2-3
		Matrices and their		Linear Systems with
		Eigensystems		Constant Coefficients
Week # 4	Feb 7		Feb 9
		3.4-5		Chapter 4
		Behavior of Solutions		Boundary Value
		to Linear Systems		Problems
Week # 5	Feb 14		Feb 16	HW # 2 Due
		5.1-3		5.4
		Equilibria, Stability,		Autonomous and
		and Boundedness		Periodic Cases
Week # 6	Feb 21		Feb 23
		5.5-6
		Stability Results		Review
		for Linear Systems
Week # 7	Feb 28	Exam # 1	March 2
				5.7-8
		1.1 – 5.6		Introduction to
				Lyapunov Functionals
Week # 8	Mar 7	SPRING BREAK	Mar 9	SPRING BREAK
MATH 4120/6120
ODE's
	TUESDAY		THURSDAY
Week # 9	Mar 14		Mar 16
		5.9		5.10
		Stability using		Unstable
		Lyapunov's Method		Solutions
Week # 10	Mar 21	HW # 3 Due	Mar 23
		5.11-12		6.1-2
		The Invariance		Perturbation
		Principle		Theory
Week # 11	Mar 28		Mar 30
		End of Chapter 6		7.1-2
		Perturbations of		Poincare-Bendixson
		Periodic Solutions		Theory
Week # 12	Apr 3		Apr 5	HW # 4 Due
		8.1-2		8.3-4
		Periodic Solutions		Nonlinear
		for Linear Systems		Systems
Week # 13	Apr 10		Apr 12	Exam # 2
		Review		5.7 – 8.4
Week # 14	Apr 17		Apr 19
		Introduction to		Integral Equations:
		Functional		Properties of Solutions
		Differential Equations
Week # 15	Apr 24		Apr 26	STUDY DAY
		Recent Research