|
|
Syllabus for MTH U343, Spring 2008 |
|
|
|
|
|
Texts (packaged together): Differential
Equations & Linear Algebra (NU
Custom Edition) by Edwards and Penney, and Computer Labs for Differential
Equations
(McOwen)
Instructor: Professor Mark Bridger,
527 NI. E-mail: m.bridger@neu.edu
Office Hours: TBA Course Homepage: www.math.neu.edu/~bridger/U343/U343.htm
Announcements: Check the homepage
frequently.
|
||
The emphasis of
this course is on understanding techniques for solving linear systems. These
ideas are introduced through examples.
Homework and Quizzes: Homework will be assigned daily, but will not
always be collected. We will not be
able to go over all homework problems in class. When the term begins, an
announcement will be made about optional problem sessions. If you have a lot of
questions about the material, you should attend these sessions and/or come to
my office hours.
There will be
weekly quizzes (usually on the same day of the week, to be announced), based on
the homework. The lowest grade will be dropped and there will be no make-up quizzes.
Computer Labs: There will be four required computer labs – numbers
2,3,4,5 – contained in the supplement bundled with your text. It is expected
that students will work on the labs together; however, the write-ups of the
labs must be done separately. The
Mathematics Department Computer Lab is in 553 Lake Hall. (The flowfield
software package DIFFS is available
there.) Due dates for these labs will be announced in class and on the
homepage.
Final: There will be a final exam, common to all sections of the course: check the final exam schedule when it is posted. The final is required of all students and, short of catastrophic illness, there are no excuses for missing it. Do not even consider booking airline tickets or other travel arrangements during final exam week. The final is two hours long and will cover all material in the course.
On the final (not
on quizzes) you will be allowed one 8˝ ×11 sheet of notes, although
the exam itself will contain most advanced formulas needed (e.g. Laplace
transforms).
Grading: The course grade will be determined as follows
·
Final exam: 40%
·
Quizzes: 50%
·
Computer Labs 10%
If you have issues
with this course and/or instructor that you are not comfortable discussing with
your instructor, you may contact Prof. Alex Martsinkovsky, Undergraduate
Director of the Mathematics Department (617-373-5510, alexmart@neu.edu).
Labs: There will be four computer labs assigned: Numbers 2,3,4,5 from the supplement Computer Labs for Differential Equations and Linear Algebra (McOwen) that came with your text. Due dates for these labs will be announced.
Schedule of
Topics and Assignments
The following table lists the topics and HW problems to be covered. Grouping
by week is flexible. Due dates for computer labs 2 – 5 will be announced.
|
Section
|
Topic
|
Assignment
|
|
1.4 1.5
|
Separable
Equations First
Order Linear |
p.
41 #3,4,11,12,20 p.
54 #3,5,13,20 |
|
2.2
2.3 10.1 |
Equilibrium
and Stability. Acceleration
and Velocity Models Laplace
Transforms and Inverses |
p.
96 #1,4,7
(Do not solve explicitly.) p.
106 #1-5 p. 576 #1,3,7,9,13,15,16 |
|
Notes 10.2
|
Laplace
method: 1st Order Linear Partial
Fractions |
Problems
in notes p.
588 #17-24 |
|
3.1,3.3 3.3 |
Linear
System, Row Reduction Automated
Row Reduction |
p.
170 #2-8, 21,22,23, 32 p.
171 #1-4
(Maple/MatLab/Calculator) |
|
3.4 3.5 3.6 |
Matrix
Operations Inverse
Matrices Determinants |
p.
182 #1,9,10,19 p. 194 #1,7,9,19,23 p.
212 #1,3,5,33
|
|
4.1 4.2
|
The
Vector Space R3 The
Vector Space Rn and
Subspaces |
p.
233 #1,
5-8,11,17,19,20 p. 240 #1,4,5,7,12, 15-17 |
|
4.3 4.4 |
Lin. Comb., Span and
Independence Bases and Dimension |
p. 248 #1,3,11,13,15 p. 255 #1,4,7,15,19 |
|
5.1,5.2 5.3 5.4 |
2nd-Order
Linear Equations Homogeneous
Const. Coeff’ts Mechanical
Vibrations |
p.
294 #1-5,9,11;
p. 306 #7-9 p.
319 #1,3,5,7,21,23
p. 331 #1,3,15,17,20 |
|
|
SPRING BREAK |
|
|
5.4,5.5 5.6 |
Undetermined
Coeff’ts Forced
Oscillations and Resonance |
p.
346 #1,2,3,9,13,31,32 p. 357 #2,8,19 |
|
6.1 7.1 7.2 |
Introduction
to Eigenvalues First
Order Systems Matrices
and Linear Systems |
p.
370 #1,3,9,13,17,19 p.
400 #1,3.6 p. 412 #3,4,5,13 |
|
7.3 10.2
|
The
Eigenvalue Method Laplace
Transform: 2nd Order Eq.s |
p.
425
#1,5,11,17 p.
588 #1,3,5,7,9,10 |
|
10.3 10.4
|
Translation
and Partial Fractions Convolutions |
p.
597 #1-17
(Odds), 27,29 p. 606 #1,2,6,7,8,15,16 |
|
10.5 10.6 |
Piecewise
and Periodic Functions Impulses
and the Delta Functions |
p.
614 #1,3,5,,11,12,13,25,26 p.
627 #1,2,4,5 |
|
|
REVIEW |
|