APM542, Winter 2006
Mathematical Analysis for Engineers II
Faculty: M. Shillor
Office: 554 SEB
Phone: 248-370-3439
Class Time: MW 7:30-9:17 PM
Room: 93 SEB
Office Hours: Wednesday 5:00 - 6:30
PM, or by
appointment.
Prerequisites: APM 541.
Text: Advanced Engineering
Mathematics, by E.
Kreyszig, 8th Edition. You may also use the new 9th Edition,
however, the Home Work will be from the 8th Edition.
Exams: The grade in this course will
be based
on two 100-point hour exams
and one 200-point final exam.
Exam #1: Monday,
February13;
Exam #2: Monday, March 27;
The Final Exam will be given on Monday, April 24, 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 16 - MLK day, no
class.
January 18 - Last day for no-grade
drop.
Winter Recess - February 25 -- 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 3,
11- 16.
Make sure to review the material in Section 3.0
HW 3.1 (p. 158): 7, 8, 9, 11, 14*
HW 3.3 (p. 169): 1, 3, 5, 10, 11, 13, 15, 16*
January 9: Sections 3.4, 3.5 and nonlinear spring -VeCHSS
HW 3.4 (p. 174): 1, 3, 4, 6, 7, 9, 10
HW 3.5 (p. 183): 1-8, 11, 12*, 13*
To download the pdf file VeCHSS click here
January 16: Sections 11.1 -
11.3 (Wednesday (no class on Monday))
HW 11.1 (pp. 584-5): 2-13 -check
that the functions solve the
equations,
15-22 just write the equation as an ODE (do not solve)
between stops click here, thermoelastic beam in frictional contact click here.
HW 11.3 (p. 594): 1, 3, 5, 9, 13, 16, 17, 19
Separation of variables is a very effective method to solve PDEs when it can
be applied!
HW 11.4 (pp. 597-8): 1-5, 7, 18, 19*
HW 11.5 (pp. 608-9): 3, 5, 7, 8, 9, 15 (the last one is important)
January 30: Sections 11.6 - 11.8,
HW 11.6 (pp. 615-6): 7, 8, 9
HW 11.8 (pp. 626): 1 - 5
February 6: Vibrating strings with damage, other PDEs, Review (Wednesday)
February 13: Exam #1 (Monday) Complex Variables: Sections 12.1, 12.2
HW 12.1 (pp. 656-7): as many as you need!
HW 12.2 (p. 662): 1-12, 16, 18, 21, 26, 28, 30, 34*
The material for Exam #1 includes sections 3.1 - 3.5,
11.1 - 11.8 and the uniqeness of the solution to the model of 3D heat conduction.
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 12.5 points (100 points total). You may bring one page freely
written on
both sides.
Last year's Exam 1: click here
Exam #1 Median=82 (28 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 |
|
7 |
4 |
9 |
3 |
5 |
|
Highest
mark for the exam: 100 (x2)
HW 12.3 (p. 668): 1-8, 10, 13, 17, 20, 23
HW 12.4 (pp. 673-4): 1-12, 14, 18, 19, 21, 22, 23
HW 12.6 (p. 682 ): 1, 3, 6, 11-15
February 27-- March 5: Winter break. Have fun, but not too much!
Welcome back!
HW 12.7 (pp. 686-7): 1, 2, 3, 10
HW 12.8 (p. 691): 7, 11, 20, 21, 23, 25
March 13: Sections 13.1--13.3
HW 13.1 (pp. 711-2): 2-8, 16-24
HW 13.2 (pp. 720-1): 1-6, 7, 9, 10, 11, 13, 19-22
HW 13.3 (pp. 724-5): 5-8, 11, 14, 17, 19*
This material is of fundamental importance in many branches of math
and engineering!
March 20: Section 13.4, 14.1 and review (Wednesday)
HW 13.4 (p. 729): 1-4, 6, 7, 9, 15 - 17
HW 14.1 (p. 740): 2-9, 12-15
March 27: Exam #2 (Monday), Sections 14.3, 14.3
HW 14.3 (p.750) 3, 5, 7
The material for the exam includes Sections 12.1 - 12.8, 13.1 - 13.4
There will be 10 questions on the exam. You have to answer 6 questions out
of questions 1-8 (14 points each), and you have to answer questions 9 and 10 (10 points each),
to total of 100 points.
Exam #2 Median= ( students).
Grade distribution for the exam:
|
95% - 100% (OU grade 4.0) |
85% - 94% (OU grade 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) |
|
|
|
|
|
|
|
Highest
mark for the exam:
HW 14.4 (p. 757-8): 1-4, 9*, 10*, 11*, 12*
HW 15.1 (pp. 775-6) 1-4, 6, 7*, 8*, 9*, 10*
HW 15.2 (p.780) 1, 2, 5, 6, 9, 13.
April 10: Sections 15.2 and 15.3
HW 15.3 (p. 786): 1-5, 14-17.
April 17: Review
Remainder: The final will be
comprehensive.
The material for the
final is: Ch. 3, 11.1-11.7, 12.1-12.8, 13.1-13.4, 14.1, 14.2, 14.4,
15.1-15.3.
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 18 points, and the last three 12
points each,
to a total of 200 points.
Monday, April 24, 7:00 - 10:00PM.
Solution of the Final Exam
If you have any questions or remarks, send
them to me
by clicking on
Winter 2006