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

Math Assistance Center: 3rd floor of Thackeray Hall, M-Th 9:00am-7:00pm, F 9:00am – 3:00pm

 

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, 1st 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