MATH 5200

Diff Equatns-Qualit Theory

Lec 01 selected

Qualitative theory is concerned with determining the behaviour of solutions of differential equations without finding explicit solutions. Topics are selected from Liapunov stability theory, stable and unstable manifolds of singular points and periodic solutions, classification of plane singular points, structural stability and Hamiltonian systems. Other topics at the instructor’s discretion.

Sections

Lecture

From the syllabus

From the 2025 syllabus by David Iron. Open the PDF

Grading

60%HomeworkTwo lowest scores dropped
40%Final projectWritten report and oral presentation

Textbooks

  • An Introduction to Dynamical Systems, D. K. Arrowsmith and C. M. Place (optional)
  • Dynamics and Bifurcations, J. Hale and H. Kocak (optional)
  • Introduction to Applied Nonlinear Dynamical Systems and Chaos, S. Wiggins (optional)

Course rules

Late homework
Homework is penalized 10% per day late and is on time until 6:00 p.m. on the due date.
Homework submission
Submit homework by Brightspace dropbox, email as PDF or PostScript, or on paper.
Academic integrity
Students may work in groups but must write up their own homework.
Final project
Students must discuss and obtain approval for their research topic during the term.

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