 Instructor: Dr. Dashun Xu
Office: 273
Neckers Hall A Wing
Office
Hours: MWF:
2:20-4:20pm, 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:
50% from
homework, MATLAB projects and quizzes, 50% from the mid-term exam
and the final (25% each).
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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Due next
Fri.
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Week 2
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M: 7.1: 3, 6, 8
(please take a look at 7), 16, together with either the set of 17, 18
or the set of 19, 20.
M: 7.1, WF: 7.2
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Homework for 7.1
and Matlab homework due this Fri. (Sep. 4)
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Conversion
guide 7ed to 8ed
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Week 3
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W 7.2; F 7.3;
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No homework due
this week
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Week 4
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7.2: 4, 8, 11, 16,
22, 25,
7.3: 1, 2, 3, 5; Check the
dependence of the vectors given in 6, 7, 8, 9;;
MWF 7.3
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Due on Fri.
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Week 5
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7:3: 15, 18, 21,
24
7.4: 5
MWF 7.4
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No homework due
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Week 6
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7.4: 2(a,b,c),
3, optional: 4, 8.
7.5: Find the
general solution for 1, 3, 5
Matlab: draw
direction fields for 1,3,5 using computer, and sketch a few
trajectories by computer or hand in your direction fields.
MWF 7.4-7.5
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Due on Fri for
Week 5 and Week 6 homework.
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Week 7
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7.5: 7, 11, 15,
17, 24, 25, 27; optional: 19, 21, 28
Draw direction
field for 7 using Matlab and then on top of it, draw a phase portrait
for the system.
MWF 7.5
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Due on Fri.
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Week 8
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Find the general
solutions, sketch phase portrait and direction field for 7.6: 2, 3,
Find the general
solution for 7.6: 7
7.6: 9
MWF 7.6
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Due on Fri.
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Week 9
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7.6: 13, 15
7.8: find the
general solution and use Matlab draw the direction field for 1, 3
7.8: Sketch the
phase portraits of 1,3 (Please check the direction fields you got )
7.8: find the
solution of systems given by 7, 8
7.8: (Optional)
17.
MWF 7.7-7.8
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Due on Fri.
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Week 10
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7.7: 1, 3, 5, 9,
11
7.9: 1,3,5,7,9
A sample
exam
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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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Exam is on Wed.
this week, covering Chap 7.
The homework for 9.1
will not be collected. But I suggest you all try them because they
are kind of review problems for the exam.
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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)
Optional problems for
9.2, 19(a), 24, 25.
9.3: 1, 2,
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)
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Since no class on Nov.
11, the homework will be collected in next week.
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Week 13
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Week 14
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Week 15
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Application in
Mathematical Biology
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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