Math 441 Analysis and Dynamics of Differential Equations (Spring 2017)

All Materials from Spring 2017 Semester

Class content and policy

Syllabus and Class Policy

Handouts

Summary of topics covered in class: Topics

Exams

Midterm Exam

Midterm pdf.

Final Exam

Final pdf.

Assignments

Assignment 1

Assignment 1.

Assignment 2

Assignment 2.

Assignment 3

Assignment 3.

Assignment 4

Assignment 4.

Assignment 5

Assignment 5.

Assignment 6

Assignment 6.

Spring 2017 Student presentations


All Materials from Spring 2016 Semester

Spring 2016 Class Content and Policy

Syllabus and Class Policy

Spring 2016 Handouts

Summary of topics covered in class: Topics

Spring 2016 Exams

Midterm exam on Tuesday March 15

pdf

Final exam on Tuesday May 3

pdf

Spring 2016 Assignments

Assignment 1

Read chapters 1 and 2.
Submit Problems: 2.1.3, 2.2.1, 2.2.7, 2.2.10, 2.2.13, 2.3.1, 2.4.4, 2.4.9, 2.5.2, 2.5.5, 2.7.1, 2.8.2 (d), 2.8.3.

Assignment 2

Assignment 2 on existence and uniqueness.

Assignment 3

Assignment 3 on bifurcation, dimensional analysis, singular perturbation.

Assignment 4

Assignment 4 on two dimensional flows, linear systems, nonlinear systems and phase portraits.

Assignment 5

Assignment 5 on two dimensional flows: alpha and omega limit sets, Poincare Bendixson Theorem, no chaos in two dimensions, limit cycles, Hopf bifurcations..

Assignment 6

Assignment 6 on three dimensional flows: Chaos, strange attractors, fractals, Liapunov exponent.

Spring 2016 Student presentations

Spring 2016 Photos