APM542, Winter 2003

Mathematical Analysis for Engineers II


Faculty: M. Shillor

Office: 554 SEB

Phone: 248-370-3439

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

Room: 363 SFH


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 12;

Exam #2: Monday, March 31;

The Final Exam will be given on Wednesday, April 23, 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

65%----2.0

80%----3.0

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 20 - MLK day, no class.

January 17 - Last day for no-grade drop.

Winter recess - February 22 -- March 2

March 17 - Last day for official withdrawal (W grade).

April 19 - Last class.


Discussion board and chat room for the course


Schedule: We will cover most of Chapters 3, 11- 16.


January 6: 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 13: sections 3.4, 3.5
HW 3.4 (p. 174): 1, 3, 4, 6, 7, 9, 10
HW 3.5 (p. 183): 1-8, 11, 12*, 13*


January 22: sections 3.5, nonlinear spring with friction
To download the pdf file VeCHSS
click here


January 27: Sections 11.1, 11.2, 11.3, 11.4
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
HW 11.4 (pp. 597-8): 1-5, 7, 18, 19*


February 3: sections vibrations of a membrane, 11.5,
beams, vibrations of a beam between stops
HW 11.5 (pp. 608-9): 3, 7, 8, 9, 15


February 10: Review (Monday), Exam #1 (Wednesday)
The material for Exam #1 includes sections 3.1 - 3.5, nonlinear spring with friction, 11.1 - 11.5.

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=80 (23 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
    0 7 12 4 0 0
  • Highest mark for the exam: 92%
  • The Exam


    February 17: 11.6, thermoelastic beam in frictional contact, a model for brakes
    HW 11.6 (pp. 615-6): 8, 9
    To download the pdf file for the model of the thermoelastic beam in frictional contact
    click here


    February 22--March 2 Winter break. Have fun, but not too much!

    Welcome back!
    March 3: Introduction to FEM; 11.7, 11.8;
    Navier-Stokes eqns, Maxwell's eqns, MHD, elasticity
    HW 11.8 (pp. 626): 1 - 5


    March 10: Beginning Complex Variables; sections 12.1 - 12.4
    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
    HW 12.4 (pp. 673-4): 1-12, 14, 18, 19, 21, 22, 23


    March 17: 12.6-12.8
    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 24 : sections 13.1, 13.2, Review (Wednesday)
    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


    March 31: Exam #2(Monday), sections 13.3, 13.4
    HW 13.3 (pp. 724-5): 5-8, 11, 14, 17, 19*
    HW 13.4 (p. 729): 1-4, 6, 7, 9, 15 - 17


    The material for the exam includes sections 11.6 - 11.8, 12.1 - 12.8, 13.1 and 13.2.

    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=90 (25 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)
    8 9 6 2 0 0
  • Highest mark for the exam: 100%

  • April 7: 14.1-4
    HW 14.1 (p. 740): 2-9, 12-15
    HW 14.2 (p. 745): 3- 16
    HW 14.4 (p. 757-8): 1-4, 9*, 10*, 11*, 12*


    April 14: sections 15.1, 15.3 and Review
    HW 15.3 (p. 786): 1-5

    A brief outline of the goals for the final
    click here.

    A practice final exam

    Remainder: The final will be comprehensive. The material for the
    final is: Ch. 3, 11 - 14.


    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.
    Wednesday, April 24, 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 2003