Math
0250: Matrix Theory and Differential Equations
Group A:
CRN 12987
Fall 2004
Instructor: David Swigon
Office: Thackeray 519, 412-624-4689, swigon@pitt.edu
Lectures: MWF 9:00 9:50am, Benedum 426
Office Hours: MW 1:00 3:00pm, Thackeray 519, or by appointment.
Recitations
and TAs:
TH 10:00 10:50, CL 204, Baris Hancioglu, bah10@pitt.edu
TH 9:00 9:50, Benedum 1020, Ahmet Duran, ahd1@pitt.edu
Departmental Course Web Page: http://calculus.math.pitt.edu/0250/
Group Web Page: (check frequently for
changes and updates) http://www.math.pitt.edu/~swigon/math0250.html
ANNOUNCEMENTS
Final exam
will be held on Wednesday, December 15, 4:00-5:50 pm at ENGUD (Engineering
Auditorium)
The exam is
from ALL the material covered in the course.
Sample final
exam from Spring 2003 is here.
(NOTE: the companion system to a linear differential equation of n-th order is the equivalent system of n first-order differential equations.)
Second midterm exam will be held on Wednesday, October 20, during regular lecture at 9:00-9:50 am in Benedum 426.
Second midterm solutions.
First midterm exam is held on Wednesday, September 22, during regular lecture at 9:00-9:50 am in Benedum 426.
Midterm exam solutions
Course Description
This course is designed primarily for engineering students as an introduction to ordinary differential equations. The topics include first order differential equations, higher order differential equations and systems of first order linear and nonlinear differential equations. Matrix methods will be introduced and used to solve systems of linear equations
Prerequisites
Single-variable calculus (Math 0230, or equivalent)
Textbook
C.H. Edwards and D.E. Penney, Differential Equations and Linear Algebra, Prentice Hall, 1^{st} edition, July 2000, ISBN: 0139737510
***
DO NOT BUY THE SECOND EDITION (THE 2004 EDITION) ***
In addition to the textbook, you will need
a scientific calculator. Any calculator with logarithms, exponentials, and
trigonometric functions will do.
Syllabus
and Practice Problems
Practice problems
will serve as models for exam problems.
They need not be handed in and will not be graded. You should work on them before you attend
your recitation so that you can discuss them with your TA.
Grading Scheme
Homework Assignments: 30%
Two midterm exams: 40% (each worth 20%)
Departmental Final Exam: 30%
One letter grade rule of the Mathematics Department applies: The end-of-course grade assigned to each student should not exceed his/her final exam grade by more than one letter grade. This means that if your final exam grade is, for example, C, your course grade cannot be better than B.
Policy
Attendance of lectures and recitations is expected. No late homework will be accepted and there will be no make up exams. No calculators will be allowed on exams.
Recitations
Twice a week you will meet with your TA to go over problems related to the material covered the previous week. Each week, you will be assigned homework problems to write up and hand in. Homework will be collected by your TA during your recitation on Thursday. These assignments will be graded and returned.
Homework
Due date |
Problems |
Thursday, Sep 9 |
1.1 17, 21, 26, 37, 38 1.2 4, 6, 8, 10, 12, 14 1.3 21, 25 1.4 19, 22, 28, 29 |
Thursday, Sep 16 |
1.5 2, 4, 12, 16, 22, 24 1.6 3, 7, 20, 22, 24, 28, 32, 34, 45 |
Thursday, Sep 23 |
2.1 1, 11, 12 2.2 15 2.3 2, 9 2.4 1, 4 |
Thursday, Sep 30 |
No homework |
Thursday, Oct 7 |
3.1 1, 6, 21 3.2 11, 15, 20, 23, 27 3.3 7, 13, 15 |
Thursday, Oct 14 |
3.4 10, 14, 17, 21 3.5 3, 11, 21 3.6 3, 6, 7, 13, 17, 21, 30, 37, 50 |
Thursday, Oct 21 |
4.1 7, 9, 15, 17, 19, 23, 25, 31, 34 4.2 8, 9, 15, 17, 19 4.3 3, 7, 17, 19 4.4 2, 3, 4, 15, 17, 23 |
Thursday, Oct 28 |
No homework |
Thursday, Nov 4 |
5.1 1, 4, 17, 20, 24, 25, 33, 35, 39, 45 5.2 8, 12, 14, 17, 18, 24 |
Tuesday, Nov 16 |
5.3 3, 7, 9, 13, 15, 17, 23, 25 5.4 1, 3, 14, 15 |
Thursday, Nov 18 |
5.5 1, 3, 4, 7, 13, 18, 21, 26, 53, 54 5.6 1, 2, 3 |
Thanksgiving week |
No homework |
Thursday, Dec 2 |
6.1 3, 7, 11, 13, 25, 27, 31 7.1 2, 3, 6, 9, 15, 18 7.2 14, 17, 18, 27 |