 Instructor:
Dr. Dashun Xu
Office: 273 Neckers
Hall A Wing
Office Hours: MWF: 1:20-3:20pm, or
by appointment
E-mail: dxu@math.siu.edu Phone: 453-6512
Text Books:
1.
Elementary
Differential Equations and Boundary Value Problems, 8th Ed., by
Boyce and DiPrima.
2.
Differential Equations
with Matlab, 2nd Ed., by B. R.
Hunt, R. L. Lipsman, J. E. Osborn, J. M.
Rosenberg
Coverage:
Chapter
7, 9 of Textbook 1. If possible, some applications in Mathematical
Biology will be included.
Some MATLAB
Resources
Exams
One midterm
and one comprehensive final exams.
Grading
Policy:
Your course grade will be computed as follows:
45% from
homework, MATLAB projects and quizzes, 25% from the mid-term exam
and 30% for the final.
Letter grades will then be assigned
according to the scale:
A,
100-90; B, 89-80; C, 79-70; D, 69-60; F, below 59.
Homework
and Projects:
All assignments will be collected every Friday in
class and only a few questions in each assignment will be graded. Late
homework and projects will not be accepted.
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Date
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Homework
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Due Day
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Week 1
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Review basic
concepts and methods from Math 305
Review of
integration and Key to the practicing problems
Examples for separable
equations, exact equations and drawing phase lines
Matlab homework
|
|
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Week 2
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M: 7.1:
M: 7.1, WF: 7.2
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This Fri.
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|
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Conversion guide 7ed to 8ed
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Week 3
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7.1: 3, 6, 8 (please take
a look at 7), 16
7.2:
4, 8, 11, 16, 22, 25,
W 7.2; F 7.3;
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Dur on
next Fri. (Sep. 17)
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Week 4
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7.3: 1,
2, 3, 5; Check the dependence of the vectors given in 6, 7, 8, 9; 14,
15;
7.3:
18, 21, 24
MWF 7.3
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Due on Fri. (Sep
17)
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Week 5
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7.4: 2(a,b,c),
3, 4, 5
MWF 7.4
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Due on Fri. Week 6
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Week 6
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7.5: Find the general solutions and draw
phase portraits (please use the information of direction fields) for
1, 3, 5.
Matlab: draw direction fields for 1,3,5
MWF 7.4-7.5
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Homework for 7.4
and 7.5 due on Fri
|
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Week 7
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7.5: 7(a), 11, 13, 15, 17, 24, 25, 27;
7.5: Draw direction field for 7 using Matlab and then on top of it, draw a phase
portrait for the system
7.6: Find the general
solutions, sketch phase portrait and direction field for 7.6: 2, 3.
7.6: 7
You need matlab to draw direction fields
MWF 7.5
|
Due on Fri.
|
|
Week 8
|
7.6: 5(general solution, phase portrait
and direction field); 9
7.8: 1, 3 (a,b,c); Find the solution of IVP for 7, 8
7.8: (Optional) 17
MWF 7.6
|
The midterm exam covers Chap 7
on Oct. 29..
Homework Due next
Fri. But please do them in this week, instead of waiting for next
Fri. There are going to be more homeworks to
be assigned in next week
|
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Week 9
|
7.6: 13, 15
7.7: 1, 3, 9, 11
MWF 7.7-7.8
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Due on Fri.
|
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Week 10
|
Since the exam on
Fri covers all contents of Chap7, please do the problems for 7.9
before Fri.
7.9: 1,3,5,7,9
A sample
exam
|
Exam on Fri.
Homework due on
Fri.
|
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Week 11
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9.1: 1, 2, 4, 5, 6, 10, 11(only a,b,c for 1-11),
13, 15
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Due on next Fri
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Week 12
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9.2: 5(a), 6 (a); 15(a),22(a);
Matlab: 9.2: 5 (bc), 6(bc), 15(b), 22(b)
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Due this Fri
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Week 13
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Week 14
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9.3: 5(a,b,c), 7(a,b,c), 11(a,b,c)
Matlab: draw the direction fields and then on top
of them sketch phase portraits for 5,7,11(d)
Optional: 9.3: 27,
28
9.6: 1, 2, 3
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Homework due on
this Fri.
Final exam:
12:50-2:50
p.m.
F Dec 17,
EGRA 320
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Week 15
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Sample
exam
|
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Make-up
Policy:
Make-up
exams will only be granted to students who have convincing excuses and
have informed me in advance. And proper documentation is needed.
Attendance:
Regular attendance to the lectures is strongly advised. You will be responsible for all the material presented
in the class, regardless of whether or not you were present.
Study Hint:
Find at least one or
two other students from the class with whom you can regularly do
homework and prepare for exams. Your classmates are perhaps the least
used and arguably your best resource. An efficient and effective study
group will streamline homework and study time, reduce the need for
attendance at office hours, and greatly improve your written and spoken
communication. The best time to use your classmates as study/homework
partners is after you have made an honest effort on your own to
solve the problems using your own wits, knowledge, and experience. When
you encounter an unsolvable problem, don't give up too soon on it.
Being stumped is an opportunity for mathematical growth and insight,
even if you never solve the problem on your own. If you seek help
prematurely, you will never know if you could have solved a tough
problem without outside assistance.
Emergency
Procedures:
Southern Illinois University Carbondale is committed to providing
a safe and healthy environment for study and work. Because some health
and safety circumstances are beyond our control, we ask that you become
familiar with the SIUC Emergency Response Plan and Building Emergency
Response Team (BERT) program. Emergency response information is
available on posters in buildings on campus, available on BERT’s website at www.bert.siu.edu,
Department of Safety’s website www.dps.siu.edu (disaster drop
down) and in Emergency Response Guideline pamphlet. Know how to respond
to each type of emergency.
Instructors
will provide guidance and direction to students in the classroom in the
event of an emergency affecting your location. It is important that you
follow these instructions and stay with your instructor during an evacuation
or sheltering emergency. The Building Emergency Response Team will
provide assistance to your instructor in evacuating the building or
sheltering within the facility.
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