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, February 6th.
The final exam is schedule according to the university calendar for Thursday, March 20th, 4:00pm - 7:00pm. Final Exam Outline of Topics [PDF] Δ.
Supplemental Class Notes:
(none posted at this time)
Class Annoucements:
- No office hours on Thursday, January 23rd.
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, Jan 23rd) 1.1.1, 1.1.3, 1.1.4, 1.1.5, 1.2.1, 1.2.3, 1.2.5, 1.3.1, 1.3.5, 1.3.8.
HW2: (Due Friday, Jan 31th) 1.4.1, 1.4.4, 1.4.7, 1.5.1, 1.5.3, 1.5.9, 1.6.2, 1.7.2bd, 1.7.4.
HW3: (Due Thursday, Feb 6th) 1.8.1abdgh, 1.8.2acef, 1.8.3, 1.8.5, 1.8.6abdeg, 1.8.7, 1.8.9, 1.8.12acd, 1.9.1acd, 1.9.2bd, 1.9.4.
HW4: (Due Thursday, Feb 20th) 2.1.1ab, 2.2.2ab, 2.1.3, 2.1.5, 2.2.1, 2.2.2, 2.2.6, 2.3.1, 2.3.5.
HW5: (Due Friday, March 7th) 2.4.1abc, 2.4.2ac, 2.4.3, 2.5.1, 2.5.3, 2.6.1bc, 2.6.3, 2.7.1, 2.7.3, 2.7.5.
HW6: (Due Wed, March 19th) 2.9.2ab, 2.9.4, 2.9.5a, 2.9.7, 2.14.1, 2.14.4, 2.14.5bc, 2.14.6c, 2.14.8.