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SYST 500 / CSI 600
Quantitative
Methods for Systems Engineering, Operations Research, and Computational Science
Fall 2008
Systems Engineering and Operations Research
Instructor: Monica Carley-Spencer, Ph.D.
Description:
This course is
designed to provide the basic quantitative foundations that students need to
pursue a graduate program in Systems Engineering, Operations Research, and
Computational Science. Topics include vector and matrices, differential
equations,
Pre-requisites: MATH 203 (Matrix Algebra)
MATH 113 (Analytic Geometry and Calculus
I)
MATH 114 (Analytic Geometry and Calculus
II)
Texts:
Dennis G. Zill and Michael R. Cullen, Advanced Engineering Mathematics (3rd Edition), Jones and Bartlett
(2005)
Hwei Hsu Probability,
Random Variables and Random Processes Schaum Outline Series, McGraw Hill, 1996
Matlab intro: http://ece.gmu.edu/matlab/matlab.html
IT&E Computer Labs and
account information: http://ite.gmu.edu/labs/
Fall 2008 Academic
Calendar and Important Deadlines: http://registrar.gmu.edu/calendars/Fall08calendar.pdf
Class Schedule:
|
Week 1 |
Wednesday
8/27 |
Introduction,
vectors and matrices |
Z&C:
Ch 7, 8.1-8.2 |
|
|
Week 2 |
Wednesday
9/3 |
Matrices:
rank, determinants, inverse |
Z&C: Ch 8.3-8.6 |
|
|
Week 3 |
Wednesday
9/10 |
Eigenvalues/vectors, complex numbers |
Z&C: Ch 8.8 |
|
|
Week 4 |
Wednesday
9/17 |
Calculus
review |
HMWK 3
due |
|
|
Week 5 |
Wednesday
9/24 |
First-order
differential equations |
Z&C:
Ch 1, 2 |
HMWK 4
due |
|
Week 6 |
Wednesday
10/1 |
Higher-order
differential equations |
Z&C:
Ch 3.1, 3.3 |
HMWK 5
due |
|
Week 7 |
Wednesday
10/8 |
Higher-order
differential equations |
Z&C:
Ch 3.4, 3.11 |
HMWK 6
due |
|
Week 8 |
Wednesday
10/15 |
MID-TERM
EXAM |
Material
from Weeks 1-6 |
|
|
Week 9 |
Wednesday
10/22 |
Systems
of differential equations |
Z&C:
Ch 10.1-10.2 |
HMWK 7
due |
|
Week 10 |
Wednesday
10/29 |
Laplace
transforms |
Z&C:
Ch 4 |
HMWK 8
due |
|
Week 11 |
Wednesday
11/5 |
Power
and geometric series |
Z&C:
Ch 19.1, 5.1 |
HMWK 9
due |
|
Week 12 |
Wednesday
11/12 |
Probability
and random variables |
Hsu: Ch
1-2 |
HMWK 10
due |
|
Week 13 |
Wednesday
11/19 |
Multiple
random variables |
Hsu: Ch
3 |
HMWK 11
due |
|
Week 14 |
Wednesday
11/26 |
Thanksgiving
recess – No Class |
||
|
Week 15 |
Wednesday
12/3 |
Review |
HMWK 12
due |
|
|
Week 16 |
Wednesday
12/10 |
FINAL
EXAM |
Comprehensive |
Grading Policy: All
homework must be done individually. All
students must abide by the GMU Honor Code.
Homework
is due at the beginning of class, one class period from the date
assigned. Late homework will be not be accepted.
Grading:
|
Homeworks |
36% |
|
Midterm
Exam |
32% |
|
Final
Exam |
32% |
A: 90-100%
B: 80-89%
C: 70-79%
F: < 70%
Last Updated: September 4, 2008