APM542, Winter 2004

Mathematical Analysis for Engineers II


Faculty: M. Shillor

Office: 554 SEB

Phone: 248-370-3439

Class Time: MW 7:30-9:17 PM

Room: 172 SEB


Office Hours: Monday 5:00 - 6:30 PM, or by appointment.

Prerequisites: APM 541.

Text: Advanced Engineering Mathematics, by E. Kreyszig, 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: Wednesday, February 18;

Exam #2: Monday, March 29;

The Final Exam will be given on Monday, April 26, 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 19 - MLK day, no class.

January 20 - Last day for no-grade drop.

Winter recess - February 21 -- March 1

March 16 - 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.


January 5: Sections 3.1 - 3.3
HW 3.1 (p. 158): 7, 9, 11, 14*
HW 3.3 (p. 1): 4, 5, 6, 10, 12, 15, 16*


January 12: sections 3.4
HW 3.4 (p. 174): 1, 3, 4, 6, 7, 9, 10
 

January 19: Sections 3.4 , 3.5, nonlinear spring
HW 3.5 (p. 183): 1-8, 11, 12*, 13*
To download the pdf file VeCHSS   click here


January 26: Sections 3.5, 11.1, 11.2, 11.3
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)
HW 11.3 (p. 594): 1, 9, 12, 16, 19

February 2: Sections 11.4,  beams, vibrations of a beam
between stops   click here , , 11.5,
HW 11.4 (pp. 597-8): 1-5, 7, 18, 19*
HW 11.5 (pp. 608-9): 3, 7, 8, 9, 15

February 9: Sections 11.6, 11.7, 11.8, adhesive membrane, Review (Wednesday)
HW 11.6 (pp. 615-6): 8, 9 
HW 11.8 (pp. 626): 1 - 5
To download the pdf file for the model of the
thermoelastic beam in frictional contact click here

February 16: Complex Variables; sections 12.1 ’Äì 12.3, Exam #1 (Wednesday)
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*
HW 12.3 (p. 668): 1-8, 10, 13, 17, 20, 23

The material for Exam #1 includes sections 3.1 - 3.5, nonlinear spring, 11.1 - 11.8.
 
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
one side.

Exam #1 Median=82.5 (24 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

5

11

 2

 2

 

Highest mark for the exam: 96%

The Solution of the Exam

 
February 21--March 1 Winter break. Have fun, but not too much!

Welcome back!
March 1: Introduction to FEM; Navier-Stokes eqns, elasticity
 
March 8: Sections 12.4, 12.6 12.7, 12.8
 HW 12.4 (pp. 673-4): 1-12, 14, 18, 19, 21, 22, 23
HW 12.6 (p. 682 ): 1, 3, 6, 11-15
HW 12.7 (pp. 686-7): 1, 2, 3, 10
HW 12.8 (p. 691): 7, 11, 20, 21, 23, 25

 

March 15: Sections 13.1-4,
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*
HW 13.4 (p. 729): 1-4, 6, 7, 9, 15 - 17

March 22 : Section 14.1, Review (Wednesday)
HW 14.1 (p. 740): 2-9, 12-15


March 29: Exam #2(Monday), Sections 14.2, 14.4
HW 14.2 (p. 745): 3- 16
HW 14.4 (p. 757-8): 1-4, 9*, 10*, 11*, 12*
 
The material for the exam includes Sections 12.1 - 12.8, 13.1 - 13.4, and 14.1.

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).

Exam #2 Median=94.5 (24 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)

 12

 7

 4

1

 

 

Highest mark for the exam: 100%

The solution of Exam 2


April 5:  Sections 15.1- 3
HW 15.1 (pp. 775-6) 1-4, 6, 7*, 8*, 9*, 10*.
HW 15.2 (p.780) 1, 2, 5, 6, 9, 13.
HW 15.3 (p. 786): 1-5, 14-17.

April 12: Section 16.1 and Review


 April 19:  Review  

A practice final exam

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 question is worth 16 points, out of total of 200 points.
Monday, April 26, 7:00 - 10:00PM.

Final Exam Median=xx (yy students).


If you have any questions or remarks, send them to me by clicking on

shillor@oakland.edu

Winter 2004