Course: Math 217, Differential
Equations
Class hours:
MTThF. Section 1, 10am-11am; Section 2, 12pm-1pm
Classroom: Louderman 458
Instructor: Quo-Shin Chi
Office: Room 210, Cupples I
Tel: 314-935-6757; email: chi@math.wustl.edu
Office Hours: MF, 2pm-3pm, or by appointment
Textbook: Elementary Differential Equations and Boundary Value
Problems, 8th ed., by Boyce and Diprima
We will cover Chapters 1-7, and 9.1, 9.2
of the textbook. Math 233 (Calculus
III), or Math 233 concurrently with Math 217, is the prerequisite for
taking this course.
You are strongly suggested to attend the
lectures. The material to be covered and homework
to be assigned for each lecture are given below in the syllabus.
There will be three midterms and a final:
Exam I, M, Feb
5, 6:30pm-8:30pm,
Exam II, M, Mar
5, 6:30pm-8:30pm,
Exam III, Th, Apl 12, 6:30pm-8:30pm,
Final,
F, May 4,
10:30am-12:30pm.
Bring your student ID to each exam. Books, notes
and GRAPHIC calculators or electronic devices are NOT allowed. You will
only be allowed a 3-by-5 index card and a scientific calculator as
basic as TI30X, which costs $10-$15. Be sure the calculator you choose
can handle logarithmic,
exponential and trigonometric calculations. It would be wise to use the
calculator when you work on your homework problems so that you will
be comfortable with it during an exam.
The
exam dates were set by the University College
before you registered. You are therefore expected to take the exams as
scheduled. If you must be away for a university sports event
or field trip, we suggest that you arrange for your coach or professor
to administer the exam on the trip. Excused absences may be granted in
the case of illness or bereavement. All excused absences
must be
granted by Professor Shapiro. The final exam date CANNOT be changed for
reasons of traveling convenience.
Each exam is worth 20 points. Each midterm
consists of 15 multiple choice questions, where each such question is
worth 1 point, and 1
free response question worth 5 points. The final consists of 20
multiple choice questions, 1 point for each. The exams will be designed
to
test your understanding of the course content, and so they will be
similar to
the suggested and due homework problems, examples in the book and
those presented in class.
There
will be 12 homework sets, each of which is worth 20 points and
will be due at the start of the Tuesday lecture indicated in the
syllabus. Please note: LATE HOMEWORK WILL NOT BE ACCEPTED. The overall
homework score will be the average of your best 10 graded homework
scores. Put
your full name, student ID number and the due date at the top right
corner of
each page of your homework. Please, please, write your name and
solution as neatly and legibly as
possible. By doing so you may let the grader understand your work
better and thus give you a better score. Note also that since the book
provides you in the back with answers to all exercises, you should come
up with your solutions in as detailed a manner as possible. WRITING
DOWN AN EQUATION OR A SOLUTION WITHOUT DUE PROCESS WILL RESULT IN NO
CREDITS FOR THE INVOLVED PART OF THE PROBLEM. Note also that the
suggested problems in the syllabus are only meant for your further
practice, by yourself, on the techniques learned in class and should
NOT be
handed
in.
The
grading scale will be 20% for homework and 20%
for each of the four exams. Since homework takes up 1/5 of your overall
score, you should try your best to take advantage of it; after all,
doing homework is the only way to master the subject matter. Your
overall letter grade will be
determined by the following scale, with plus
and minus to be given later (S is your overall score):
A if 90 <= S ;
B if 70 <= S <
90;
C if 60 <= S <
70;
D if 50 <= S <
60;
F if S
< 50.
Should you choose P/F for this course, then 60 is the
passing score.
You can check your homework, exam seat and exam scores online
at
hhp://www.math.wustl.edu
and click the appropriate link under the category Resources.
SYLLABUS.
Date
Section
Suggested Problems (NOT to be handed in)
Jan 16
1.1, 1.2
1.1:
#15-20
Jan
18
1.2,
1.3
1.2: #8, 9, 12, 15
Jan 19
2.1
#14, 16, 18, 20
*1st Homework: 1.2: #19(a),(b),(e) (5 points for each part); 2.1:
#30 (5 points). Due Jan 23.
Jan
22
2.2
#2, 4, 6, 8
Jan
23
2.3
#1, 4, 5, 8, 12, 19, 27
Jan
25
2.4,
2.5
2.4: #1-12, 22, 23, 27
Jan 26
2.5
#2, 4, 6, 15
*2nd Homework: 2.2: #30(a),(b),(c),(d),(e) (6 points for (d) and 1
point for other
parts); 2.4: #28 (5 points); 2.5: #8 (5 points). Due Jan 30.
Jan
29
2.6
#1, 3, 5, 7, 9, 11, 13, 15, 19
Jan
30
2.7
#1, 3
Feb
1
3.1
#2, 4, 6, 8, 10,
12, 14, 16
Feb
2
3.2
#1, 5, 7, 9, 11, 21, 24
*3rd Homework: 2.6: #24 (5 points); 2.7: #2(a) ( 5 points); 3.2: #16 (5
points),; 3.2: # 18 (5 points). Due Feb 6.
Feb 5
Review for Exam I
Feb 6
3.3
#1, 3, 15
Feb
8
3.4
#8, 10, 12, 14, 16
Feb
9
3.5
#1, 3, 5, 7, 9, 11, 13, 23, 25, 27
*4th Homework: 3.3: #2 (5 points); 3.4: #22 (5 points); 3.5: #12
(5 points); 3.6: #1 (5 points). Due Feb 13.
Feb
12
3.6
#2,
4, 6, 8, 10, 12, 14, 16, 18, 19(a)
Feb
13
3.6,
3.7
3.7: #1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Feb
15
3.7,
3.8
3.8: #6, 7, 8
Feb
16
3.8
#17, 18
*5th Homework: 3.6: #15 (5 points); 3.7: #10 (5 points); 3.8: #11
(5 points); 3.8: #12 (5 points). Due Feb 20.
Feb
19
3.9
#1, 3, 5, 11, 16
Feb
20
3.9,
4.1
4.1: #1, 3, 7, 9, 17
Feb
22
4.2
#16, 18, 20, 22, 24, 29, 30, 32, 37
Feb 23
4.3
#4, 6, 10, 14
*6th Homework 3.9: #12 (5 points); 4.2: #39(a),(c) ( 5
points for each part); 4.3: #1 (5 points). Due Feb 27.
Feb
26
5.1
all odd numbered problems.
Feb
27
5.2
#2, 4, 6, 8, 10, 12, 14, 15
Mar
1
5.2,
5.3
5.3: #1, 5, 22, 23
Mar
2
5.4,
5.5
5.4: # 1, 3, 5, 7, 9, 11, 13, 15, 17
*7th Homework: 5.3: #10(a) (10 points); 5.4: #19 (5 points); 5.4: #20
(5 points). Due Mar 6.
Mar 5
Review for Exam II
Mar
6
5.5
#1, 5, 9, 24
Mar
8
5.6
#2, 4, 6, 8
Mar
9
5.6, 5.7
5.6: #15, 16
SPRING BREAK, Mar 12-Mar 18
Mar
19
5.7
#2, 4, 6, 8, 14
Mar
20
5.8
#1, 2, 3, 4, 6
Mar
22
5.8
#9, 12
Mar
23
6.1, 6.2
6.1: #6, 8, 10, 16, 18
*8th Homework: 5.6: #12(b) (5 points); 5.7: #21(c) (5 points); 5.8: #5
(5 points); 5.8: #13 (5 points). Due Mar 27.
Mar
26
6.2
#2, 4, 6, 8, 10, 12,
14, 16, 18, 20, 22
Mar
27
6.3
#2, 4, 6, 8, 10,
12, 14, 16, 18, 20, 22
Mar
29
6.4
#2, 4, 6, 8, 12
Mar
30
6.4, 6.5
6.5: #1, 2
*9th Homework: 6.2: #21 (5 points); 6.3: #15 (5 points); 6.4: #3 (5
points); 6.4: #13 (5 points). Due Apl 3.
Apl 2
6.5
#9, 10, 13
Apl
3
6.6
#10, 11, 17, 18,
20
Apl
5
7.1
#1, 3, 5, 9,
11
Apl
6
7.2
#11, 13, 19, 21, 22, 24
*10th Homework: 6.5: #12 (5 points); 6.6: 22(a) (5 points); 7.1;
23(a) (5 points, you must explain in details how you derive the
equations); 7.2: #18 (5 points). Due Apl 10.
Apl
9
7.3
#2, 4, 6, 8, 12, 14,
16, 22
Apl
10
7.4, 7.5
7.4: #6,
7
Apl 12
Review for Exam III
Apl
13
7.5
#1, 3, 5, 11, 17, 25
*11th Homework: 7.3: #21 (10 points); 7.5: #18 (10 points). Due Apl 17.
Apl
16
7.6
#2, 6,
8,10, 14
Apl
17
7.7, 7.8
7.7:#1, 5, 7, 9
Apl
19
7.8
#2, 6, 8,
12
Apl
20
7.9
#1, 3, 5,
7
*12th Homework: 7.6: #7 (3 points); 7.8: #6 (3 points); 7.8:
#17(a),(b),(c),(d) (1 point each for (a) and (b), 4 points each for (c)
and (d)); 7.9: #9 (4 points). Due Apl 24.
Apl
23
9.1
#1, 3,
5, 7, 9, 13, 15
Apl
24
9.2
#1, 3,
5, 7, 9
Apl
26
Review
Apl
27
Review
May 4 FINAL EXAM, 10:30am-12:30pm
Homeworks