Math 0290 *** Differential Equations *** Spring 2009
Instructor: David
Swigon, Thackeray 511, 412-624-4689,
swigon@pitt.edu
Lectures:
MWF 12:00-12:50pm, BENDM 525
Office
Hours: MWF 2-3pm, Thackeray 511, or
by appointment.
Grader: Sean
Evans, sme26@pitt.edu, Office hours: Gardner Steel 126, MWF 9-10, Tu
3-4
Course
Web Page: (check frequently for changes and updates) http://www.math.pitt.edu/~swigon/math0290.html
Prerequisites
Single-variable
calculus (Math 0420, 0450, or equivalent) including Taylor series, linear
algebra (Math 1180, 1185 or equivalent) including eigenvalues and eigenvectors.
Textbook
* Polking, Boggess and Arnold, Differential Equations with Boundary Value
Problems, second edition, Pearson Prentice-Hall
* Polking and Arnold,Ordinary Differential Equations using MatLab, Third Edition, Pearson Prentice-Hall (Available
at The Book Center on Fifth Ave.)
Other Materials
You will
need some MatLab add-on software for differential
equations. It can be downloaded from http://math.rice.edu/~dfield/ at Rice University.
Java
applets for pplane
and dfield
programs can be found at http://math.rice.edu/~dfield/dfpp.html
. They run in your browser without the
need for Matlab software.
Grading
Scheme
Homework
Assignments: 20%
Two
Midterm Exams: 40% (20% each)
Final
Exam: 40%
Exam
Policies
Exam dates will be announced ahead of time. Any student with a serious
conflict should alert the instructor ahead of time, before the exam date, to
discuss arrangements and should be prepared to show documentation establishing
validity of the conflict. The time and place of the departmental final exam has
been scheduled by the registrar. According to the policies of the Department of
Mathematics, your final grade may not exceed your final exam grade by more than
one letter grade.
Academic Integrity
Cheating/plagiarism will not be tolerated. Students suspected of
violating the University of Pittsburgh Policy on Academic Integrity will incur
a minimum sanction of a zero score for the quiz, exam or paper in question.
Additional sanctions may be imposed, depending on the severity of the
infraction. On homework, you may work
with other students or use library resources, but each student must write up
his or her solutions independently. Copying solutions from other students will
be considered cheating, and handled accordingly. The
schedule and a list of homework problems will be posted below. Homework
is due at the beginning of a class one week after it was assigned.
|
WEEK |
READING
& PRACTICE (M# = MatLab book) |
TOPICS |
HOMEWORK Collected
on Friday 1wk after assigned |
|
Jan
5 – Jan 9 |
1.1
Number 1-11 2.1
Number 1-6, 12-15 2.2
Number 1-18, 33-35 M1 |
Modeling
with differential equations First
order initial value problems Separation
of variables Plotting
with MatLab |
1.1 Number 1,4,7 2.1 Number 1,6,13 2.2 Number 3,6,15,17 |
|
Jan
12 – Jan 16 |
2.3
Number 8-10 2.4
Number 1-21 2.5
Number 1-10 M2
Number 15-20 |
First
order linear equations |
2.3 Number 9, 10 2.4 Number 4,5,17,19 |
|
M.L.
King holiday Jan
21 – Jan 23 |
3.1
Number 1-7, 10- 13 3.3
Number 1-6 3.4
Number 1-10 M3
Number 1-12 |
Modeling DFIELD |
2.5 Number 3a, 8 3.1 Number 4, 12 3.3 Number 4, 8 M3 Number 3, 9 |
|
Jan
26 – Jan 30 |
4.1
Number 1-20 4.3
Number 1-36 4.4
Number 1-12 M4
Number 1-8, 17, 18 |
Second
order homogeneous equations Function
m-files |
4.3 Number 3, 12, 19,
32 4.4 Number 9, 13 M4 Number 7, 17 |
|
Feb
2 - Feb 6 |
6.1
Number 1-5 |
Numerical
Methods Review |
|
|
Feb 9 |
|
Midterm Exam I, Covers 1.1, 2.1-2.5, 3.1, 3.3, 4.1-4.4 |
|
|
Feb
11 - Feb 13 |
4.5
Number 1-29 4.6
Number 1-10 4.7
Number 3-6, 12-15 M5
Number 1-6 |
Nonhomogeneous second order equations |
4.5 Number 16, 21,29 4.6 Number 2, 11 & M4 Number 7, 17 (unless you already handed it in with the last
homework) |
|
Feb
16 – Feb 20 |
8.1
Number 1-16 8.2
Number 13-16 8.3
Number 1-6 |
Introduction
to systems |
8.1 Number 4,7,12,14 8.2 Number 14,19, 26
(use PPLANE) 8.3 Number 4,5 |
|
Feb
23 – Feb 27 |
9.1
Number 1-8, 16-23 9.2
Number 1-27, 58, 59 9.3
Number 1-23 |
Constant
coefficient homogeneous 2x2 systems |
9.1 Number 3, 8 9.2 Number 3,10, 18,
21, 31, 34 |
|
Mar
2 – Mar 6 |
10.1
Number 1-18 10.2
Number 1-4 |
Nonlinear
systems; equilibria, linearization, stability |
9.3 Number 11, 12, 18, 21 10.1 Number 1,2,5 10.2 Number 4 |
|
Mar 9 – Mar 13 |
|
Spring Break |
|
|
Mar
16 – Mar 18 Mar 20 |
10.3
Number 1-16 |
Nullclines Sample exam (question 5 was
deleted – topic not on the exam) Midterm Exam II, Covers
4.5-6, 8.1-8.3, 9.1-9.3, 10.1-10.2 |
|
|
Mar
23 – Mar 27 |
5.1
Number 1-29 5.2
Number 1-41 5.3
Number 1-36 |
Laplace
Transform |
5.1 Number 4,7,27,29 5.2 Number 3,5,21,24 5.3 Number 2,8,25,29 |
|
Mar
30 – Apr 3 |
5.4
Number 1-26 5.5
Number 1-25 5.6
Number 1-9 |
Laplace
Transform |
5.4 Number 3,17,25 5.5 Number 6,15, 23, 29
5.6 Number 2,7 |
|
Apr
6 – Apr 10 |
5.7
Number 4-24, 26-31 12.1
Number 1-17 12.3
Number 1-32 |
Convolutions Fourier
series |
5.7
Number 9, 21, 29 12.1
Number 4, 8 12.3
Number 15, 30 |
|
Apr
13 – Apr 17 |
13.1
Number 1-9 13.2
Number 1-18 |
Heat
equation Separation
of variables |
|
|
Tuesday, Apr 21 |
|
Final Exam, 10:00am – 11:50pm Clapp Hall, L9 |
|