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