Ordinary Differential Equations and Dynamical Systems
Professor: Paul J. Atzberger
119B Spring 2014 in ARTS 1349
TR 3:30pm - 4:45pm




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Homepage

Syllabus Δ

Homework Assignments

Class Annoucements

Supplemental Class Notes

GradingPolicy

Software and Web Resources

Atzberger Homepage


Welcome to the class website for Ordinary Differential Equations (ODEs) and Dynamical Systems. ODEs provide an important class of differential equations useful in describing problems in areas including the physical sciences, engineering, biology, and chemistry. In this course we will cover fundamental mathematical concepts concerning the analysis and solution of ODEs. We will also discuss the many applications of ODEs.

Please be sure to read the prerequisites and grading policies for the class. Also see the syllabus for more details.

Prerequisites:

A knowledge of calculus and linear algebra.

Grading:

The grade for the class will be based on the homework assignments (see policy below), midterm exam, and final exam as follows:

Homework Assignments 30%
Midterm Exam 30%
Final Exam/Project 40%

Homework Policy:

Assignments will be announced in lecture and posted on the class website. Prompt submission of the homework assignments is required. While no late homework submissions will be accepted, one missed assignment will be allowed without penalty. While it is permissible and you are encouraged to discuss materials with classmates, the submitted homework must be your own work.

Exams:

The midterm exam will be given in class on Thursday, May 8th. Midterm Exam Outline [PDF] Δ

The final project for the course is due on Thursday, June 12th at 5pm.

Supplemental Class Materials:

  • Course slides and movies page [log-in link].
  • Poincare Sections of the Duffing Oscillator:
    ⚠ <iframe width="480" height="270" src="https://www.youtube.com/embed/y-Xj0c6fRbc?controls=0?rel=0;showinfo=0;frameborder=0;autohide=1">⚠ </iframe>

The specific parameters I used in this demonstration are ⚠ {$ delta=0.25, gamma=0.3, omega=1.0 $}.

Class Annoucements:

  • Midterm Exam Outline [PDF] Δ
  • In light of the recent tragic events, the 119 lecture 3:30pm - 4:45pm on Tuesday, May 27th is cancelled. A memorial service is being held at 4pm in Harder Stadium for those who wish to attend.

Homework Assignments:

Turn all homeworks into the mailbox in South Hall 6th Floor by 5pm on the due date. Graded homeworks will be returned in class.

HW1: (Due Thursday, April 10th) 3.1.1, 3.1.2, 3.1.3, 3.1.4, 3.1.6, 3.1.7, 3.1.9, 3.2.1, 3.2.2.
HW2: (Due Thursday, April 17th) 3.4.1, 3.4.2, 3.4.3, 3.5.1, 3.5.2.
HW3: (Due Tuesday, May 6th) 3.5.4, 3.5.5, 3.5.7, 3.7,1, 3.7.2, 3.7.3, 3.7.5, 3.7.7
HW4: (Due Tuesday, May 15th) 3.6.1, 3.6.2, 3.6.4, 3.6.5, 3.8.1, 3.8.4, 3.8.6.


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