Engineering Mathematics II:

Multivariable Calculus

22m:32, Fall 2004

Syllabus-General Information

Instructor: Frederick M.Goodman
Office: 325G McLean Hall
Phone: 335-0791 (office)
email: goodman at math dot uiowa dot edu
Office Hours: To be arranged.


Course goals:

Knowledge of basic ideas and techniques of multivariable calculus and applications.


Course web page:

www.math.uiowa.edu/~goodman/22m32/FALL-2004/22m32.html

Assignments, course information, and electronic "handouts" will be provided on the web page.


Class Locations & Times and Exam times

Lectures Mon, Wed, Fri: 2:30P - 3:20P 221 CB

T.A. Discussion Sections Tuesdays and Thursdays:

8:30 am   Section A01, 219 JH    Ricardo Ortiz

9:30 am    Section A02, 213 MLH   Ricardo Ortiz

10:30 am   Section A03, 156 VAN   Juan Ortiz-Navarro

12:30 pm   Section A04, 31 SH   Juan Ortiz-Navarro

Computer Lab Sessions

Discussion sections meet in the Engineering computer class 1245 SC (Engineering Building) on the following dates:

Tuesdays, September 7, September 21, October 5, and October 26.

Evening Exams: 7-9 pm, or possibly 7:30-9:30

Exam #1: Thursday, September 30.

Exam #2: Thursday, November 18.


Help Hours - in room 310 Mac Lean Hall

Tutors will be available in room 310 MLH and from the general Engineering tutoring service.  

Schedule:

  Sun Mon Tue Wed Thu Fri
9:30  
 
 
     
10:30  
 
   
 
 
11:30    
R. Ortiz
 
J. Ortiz-Navarro  
 
12:30  
J. Ortiz-Navarro
 F. Goodman in 325G MLH
R. Ortiz 
F. Goodman in 325G MLH
 
1:30  
 
R. Ortiz 
R. Ortiz
 
2:30  
 (Lecture)
J. Ortiz-Navarro
 (Lecture)
J. Ortiz-Navarro
 (Lecture)
3:30            
             
6:00    
 
 
   
7:00
 
         
8:00
 
         

 


Textbook:

Required text: Interactive Multivariable Calculus by Keith Stroyan
(includes a CD with additional "live" eText in Mathematica NoteBooks)
Text & CD available at Zephyr copies 124 E. Washington St.

To read the "live" eText at home, obtain MathReader free from http://www.wolfram.com/mathreader/

Professor Stroyan's book has lots of interesting ideas and an original presentation, but there is no reason to learn from only one book. Moreover, every science and engineering student ought to have one of the standard encyclopedic calculus books on his/her shelf for reference and review. If you don't have one already, I suggest that you buy a used one, slightly out of date, in order to get the best value.


Course plan:

Week #1: Graphs of  z = f[x,y]

Week #2: Basic Vector Geometry

Week #3: Limits & Partial Derivatives

Week #4: Total Derivatives and Tangent Planes, Directional Derivatives

Week #5: Gradients & Level Sets in 2D

Week #6: Max - min

Week #7: Multiple Integrals in Cartesian Coordinates

Week #8: Polar Coordinates & Review

Week #9: Parametric Curves in Space

Week #10: Motion on Curves, Tangential and Normal Acceleration

Week #11: Vector Fields in 2D

Week #12: Conservative Fields, Independence of Path

Week #13: Infinite Series and Convergence

Week #14:  Series Approximation

Week #15: Power Series


Computing Facilities:

This course has a computing component. There will be computer lab sessions using the engineering computer lab. There will also be some computer homework and computer projects to do, which you can complete on the engineering computer network, on campus ITC's or on you own computer (with purchased software.)

Engineering Computing Facilities:

If you are an engineering student, then you have an account on the engineering computing network ... if you don't know your password go to the engineering main computing office, 1256 SC.

If you are not an engineering student, please see me right away about arranging an engineering network account. I will give you a note to take to the engineering computing office. You will need this account by the second week of classes in order to participate in the computer lab sessions.

Computing around campus in "ITCs"

The "ITCs" around campus are supposed to have Mathematica installed on them, but the technical service in the ITCs has been limited in the past.  If you have a favorite ITC that you prefer to the Engineering Labs, give it a try and let me know if you're having trouble with Mathematica there.  The Engineering Labs (1200+ SC) work fairly reliably.

Home computing recommendations (NOT required)

You can obtain MathReader free from http://www.wolfram.com/mathreader/ if you have your own computer and a network connection.  This will allow you to read the class notes, but will not allow you to perform computations.  

The student edition of Mathematica also available from Wolfram research will allow you to do computations on your own computer.   An unrestricted student edition is available for $140. Six month and twelve month time limited licenses are available at $45 and $70 respectively.


Homework and computing work (electronic homework):

Written homework

Written homework be assigned after each lecture and is due in discussion sections, as recorded in the detailed weekly syllabus. Late homework will not be accepted. Homework will be collected at the beginning of dicsussion (since it will have been discussed at the previous discussion section.)

Electronic homework and computer projects

Electronic homeowork will due one week after the corresponding computer lab session (by Wednesday midnight). Electronic homework is to be submitted to your "Blackboard 6" account, in the "digital dropbox" for your section.

There will be two computer projects, which are more substantial assignments, combining mathematical principles from the course with computer skills which you will be learning in the computer lab sessions and computer homework. Details of the assignments and due dates will be provided in the weekly syllabus.


Exams and grading:

Your grade will be based on several kinds of work as follows:

Weekly Homework & quizzes in discussion sections, 15%

Electronic homework & computer projects, 10%

Two midterms and final exam, 25% each.

We expect you to attend lecture, discussion, and Lab and complete written and electronic homework on time.  We will NOT accept late work without written medical excuses or the like.  


Grading Scale:

The grading scale should be similar (but not necessarily identical) to the scale from last semester. Plus and minus grades (A-, B+, etc.) will be assigned for scores a few points on either side of a grade cut-off.

I am sometimes asked about "grading on a curve". As I understand it, technically this means fitting the grades to a pre-ordained statistical model, for example determining beforehand that the median grade should be worth a B-. I don't do this. In my class, if 2/3 of the class is doing A work, then 2/3 of the class will get an A grade.Sometimes what students mean by "grading on a curve" is simply "being generous with grades." You can judge for yourself whether whether my grading scale is generous from the data below.

Here's how the grades worked in the Spring Semester, 2004.

histogram:

Grade ranges: 85-100 A, 73-84 B, 62-83 C, 42-61 D, 0- 42 F.


Attendance and absences:

Regular attendance will be expected. However, if you must miss class, you will still be responsible for the material discussed in class. You are responsible for announcements made in class, which may concern changes in the assignments, syllabus, exams, etc.

Absence from exams will require a compelling reason, and must be arranged in advance. If you have a conflict with a scheduled evening exam (e.g. another class, another exam, an athletic obligation) please arrange one week in advance for an alternative time.


Accomodations for students with special needs.

Students with disabilities are entitled to special arrangements; please contact me in order to arrange appropriate accomodations. (Requests for modifications of class requirements or testing must be made through the Student Disability Services office, 3100 Burge Hall.)


Complaint procedure:

I hope and expect that you will have a good time, work a lot and learn a lot in this course. If you have concerns or complaints about any aspect of the course, please discuss these with me. If we are not able to resolve the difficulty, please contact the Chair of the Department of Mathematics, room 14 Maclean Hall.


Student Academic Misconduct (cheating)

Cheating will be dealt with in the harshest way allowed by University regulation.  

We won't tolerate it. Just Don't Do It


Notice about cross college enrollments:

This course is given by the College of Liberal Arts and Sciences (not the College of Engineering). This means that class policies on matters such as requirements, grading, and sanctions for academic dishonesty are governed by the College of Liberal Arts and Sciences. Students wishing to add or drop this course after the official deadline must receive the approval of the Dean of the College of Liberal Arts and Sciences.

Details of the University policy of cross enrollments may be found here.

Fred Goodman
Fall, 2004