APM542, Winter 2007
Mathematical Analysis for Engineers II
Faculty: M. Shillor
Office: 554 SEB
Phone: 248-370-3439
Class Time: MW 7:30-9:17 PM
Room: 187 SEB
Office Hours: Wednesday 5:00 - 6:30
PM, or by
appointment.
Prerequisites: APM 541.
Text: Advanced Engineering
Mathematics, by E.
Kreyszig, 9th Edition.
Exams: The grade in this course will
be based
on two 110-point hour exams
and one 180-point final exam.
Exam #1: Monday,
February 12;
Exam #2: Monday, March 26 ;
The Final Exam will be given on Wednesday, April 25, 7:00-10:00 p.m.
It will be held in the usual classroom, it is
comprehensive and will cover the entire
material of the course.
In case the university is officially
closed
on a scheduled exam date, the exam
will be held on the next class date that the university is officially
open.
Grades: There is no fixed grading
scale in
this course; a conversion formula from your
percentage score to Oakland University grades will be determined at the
end of
the course.
However, the following table shows the lowest possible grade that a
given
percentage
score will earn:
95%----4.0
80%----3.0
65%----2.0
50%----1.0
Homework: Homework will be assigned
on a
regular basis but it will not be collected or graded.
Honesty: Cheating is a serious
academic
crime. Anyone convicted of cheating in this
course will receive a course grade of 0.0 in addition to any penalties
imposed
by the
Academic Conduct Committee.
Important Dates:
Monday January 15 - MLK day, no
class.
January 18 - Last day for no-grade
drop.
Winter recess - February 24 -- March
5
March 15 - Last day for official
withdrawal
(W grade).
April 18 - Last class.
Discussion board and chat room for the course
Schedule: We will cover most of
Chapters 4,
12--16, a bit of 17 and of 18.
January 8: Sections 4.1 - 4.3
HW 4.1 (pp. 135-6): 1, 2, 7, 9, 11, 13, 15
HW 4.3 (p. 146): 4, 5, 6, 8, 10, 12, 15, 18*, 19*
January 15: Section 4.4 (Wednesday)
HW 4.4 (p. 150): 1, 3, 5, 7, 9, 10-12, 16*, 17*
January 22: Section 4.5,
nonlinear
springs
HW 4.5 (pp. 158-9): 1-8, 10, 13*, 14*, 15*
To download the pdf file of the VeCHSS
click here
January 29: Observability, Controlability, and Control of ODEs systems (An Introduction) - Monday
To download the pdf file of the lecture click here
Wednesday - PDEs: Sections 12.1, 12.2, 12.3
HW 12.1 (pp. 537-8): 1,3,5,7,9, 14-25 -check that the functions solve the equations,
HW 12.3 (pp. 546-7): 1, 3, 5, 7, 11, 15-20 - beam
HW 12.4 (p. 552): 1-5, 10*, 11-15
February 12: Sections 12.5, 12.6, beams, vibrations of a beam between stops click here,
a model of a piezoelectric rod which leads to the wave equation is here
Exam 1 - Monday
HW 12.5 (pp. 560-1): 5, 7, 9, 10*, 13*,
HW 12.6 (pp. 568-9 ): 1, 3, 10*(e, f, g)
The material for Exam #1 includes sections 4.1 - 4.5, nonlinear springs, 12.1 - 12.4.
There will be 10 questions on the
exam. You have to answer 6 questions
out
of questions 1-8, and you have to answer questions 9 and 10. Each
question is
worth 14 points (112 points total). You may bring one page freely
written on
both sides.
Exam #1 Median=102 (85%) (33
students).
Grade
distribution for the exam:
|
95% - 100% grade 4.0 |
85% - 94% grade 3.7 - 3.9 |
75% - 84% grade 3.4 - 3.6 |
65% - 74% grade 3.0 - 3.3 |
50% - 64% grade 2.0 - 2.9 |
0% - 49% grade 0.0 |
|
4 |
14 |
11 |
3 |
1 |
|
Highest
mark for the exam: 117
February 19: Sections 12.6, 12.7, 12.8
HW 12.8 (p. 578): 11, 12, 13, 18*
February 24--March 4 Winter break.
Have fun, but not too much!
Welcome back!
March 5: Complex Variables: Sections 13.1-4,
HW 13.1 (p. 606): as many as you need!
HW 13.2 (pp. 611-2): 1-8, 9-15 (odd), 21-29 (odd), 33*, 35*
HW 13.3 (pp. 617-8): 1-9 (odd), 12-19, 21, 23
HW 13.4 (p. 623): 1-10, 13-23 (odd), 25*, 26*, 27*
March 12: Sections 13.5 13.7, 13.8, 14.1
HW 13.5 (p. 626 ): 1-3, 11, 13, 14, 18, 19, 20
HW 13.6 (p. 629): 1-6, 16, 17, 19, 21
HW 13.7 (pp. 633-4): 1, 9, 16, 19-21
HW 14.1 (p. 645): 1-9 (odd), 10-18, 19, 21, 24, 31*, 32*, 33* March 19 : Sections 14.2, Review (Wednesday)
HW 14.2 (pp. 653-4): 1-11 (odd), 13-15, 17
March 26: Exam 2 - Monday; Sections 14.3-4
HW 14.3 (p. 657): 1-4, 5-17 (odd), 18*
HW 14.4 (pp. 661-2): 1-13 (odd)
The material for the exam includes Sections 12. 5, 12.6, beams, 13.1 - 13.8, 14.1, 14.2,
There will be 10 questions on the
exam. You have to answer 5 questions
out
of questions 1-8 (18 pts each), and you have to answer questions 9 and
10 (15 pts each).
The total is 120 points. You may bring one page freely
written on both sides.
Exam #2 Median=75% (33 students).
Grade distribution for the exam:
|
95% - 100% (4.0) |
85% - 94%
(3.5- 3.9) |
75% - 84% (OU grade 3.0 - 3.4) |
65% - 74% (OU grade 2.5 - 2.9) |
50% - 64% (OU grade 1.5 - 2.4) |
0% - 49% (OU grade 0.0) |
|
3 |
10 |
5 |
8 |
7 |
|
Highest
mark for the exam: 100%
April 2: Sections 15.1, 15.2, 15.3,
HW 15.1 (p. 672): 1-9 (odd), 16-24
HW 15.2 (pp. 677-8): 3- 17 (odd), 18
HW 15.3 (p. 682): 1- 8
Sections 15.4, 16.1 - 3
HW 15.4 (p. 690): 1-11 (odd), 13*, 14*, 15*, 16*, 18*
HW 16.1 (pp. 775-6) 1-4, 6, 7*, 8*, 9*, 10*.
HW 16.2 (p.780) 1, 2, 5, 6, 9, 13.
HW 16.3 (p. 786): 1-5, 14-17.
April 9: Section 17.1 and adhesive membrane the PDF file
April 16: Reviews
W04- FinalSolutions
Remainder: The final will be
comprehensive.
The material for the
final is: 4.3-4.5, 12.1-12.8, 13.1-13.7, 14.1-14.4, 15.1-15.4,
16.1-16.3.
The format will be:
9 questions out of 1-12; questions 13-15 are mandatory.
You may use up to two freely written two sided A4 sheets of paper
Each of the first 9 question is worth 15 points, and the last three 8
points each,
to a total of 160 points.
Wednesday, April 25, 7:00 - 10:00 PM.
Final Exam: Median=% ( students), the highest mark was: .
If you have any questions or remarks, send
them to me
by clicking on
Winter 2007