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Fall 2004 Math 208H Home Page

Welcome to the Math 208H, Honors Calculus III, home page. You're probably here for information, so let's start with the vital statistics of the course.

Essential Information

Calculus III Course Resources

It's interesting to see how much information can be found on the WWW. Go to your favorite search engine (like the Google or Yahoo sites listed on my home page) and try searching on "vector-valued function". See how many web pages you hit and visit a few interesting looking sites.

Announcements

Notes and FAQ

01/05/05: Postscript to Final Exam...
Our section did very well on the unit final. The median score for all sections (excluding ours) was around 137 points. The median for our section was 166. This score was in the A- range (163-172). Super job, everyone!

12/01/04: About the final exam...
In our section (H) of Math 208 the final exam is worth 200 points, so it's equivalent to ~2.66 hour exams. A number of people have been very unhappy about their performance in one exam or another which was considerably lower than their other exam grades. I've been asked if there is a way to get some extra credit to make up for a poor score on a single exam. In response, I've decided to allow everyone to replace the score of their lowest hour exam by a score equivalent to what they obtained on the final. For example, if your low hour exam score is 60, and you scored 160 on the final, then I'll replace the exam score of 60 by 160/2 = 80. On the other hand, if your final exam score is 110, then your exam scores will be unchanged.

For more information on the topics in the unit final, be sure to look here. And, OF COURSE!, be sure to purchase and study copies of the two old unit finals that are available.

Here is our schedule for Dead Week:
  • Monday: Review Chapters 10-11-12.
  • Wednesday: Review Chapters 12-13.
  • Thursday: Review Chapters 13-14 and do class evaluations.
  • Friday: Review Chapter 14.
11/30/04: I received this question about the Project Assignment:
We are having trouble with the 2nd part of 11.5.43 and are curious about how we go about elaborating on the explanation given in the book. Our problem with 11.5.43 is when we get to the part about the integral from a to b. We are having trouble proving that the derivative of A w.r.t. t is equal to the given formula. Any help would be greatly appreciated.

Hmmm... You're not alone. I'm concerned that this is causing difficulty for a number of people, and taking attention away from the upcoming Exam 6, which is really more important. SO: for starters, I'm going to postpone the due date (for the entire project) to class time, next Monday morning, December 6. Please note: I said class time, no later. I want you to have it behind you by Monday morning, so we can concentrate on final preparation.
Now for the specific question I was asked: it's a nuisance for me to write my answer out without symbols, so I put the answer in a pdf file, which you may access by clicking here.

11/3/04: Writing Assignment 1
This assignment is very simple: write up Exercise 14.2.3 from your textbook in a paragraph or two. Note: this is a writing assignment. Therefore, your explanation should consist of complete sentences and should be reasonably self-contained. Pay attention to grammar and spelling. Your target audience consists of fellow students, not the instructor.
Point value: 5 points.
Note: Students who helped run Math Day are exempt from this assignment and automatically get the full 5 points.

11/2/04: I received this question:
If one does not have a TI-86 or better calculator, how should he go about sketching vector fields? How does one find the terminal point of the vector?

Actually, even if you *do* have a TI-8x calculator, you should be able to do a crude vector field by hand. The idea is to plot a sampling of the vector field with the value F(x,y) as a vector with its tail at (x,y). As the textbook notes, "If you are plotting vectors by hand, usually a few vectors per quadrant suffices." I like to pick points (x,y) along which something interesting happens. For example, the points along the curves where the first or the second component of the vector field vanishes. In general, there is no fixed rule about which points to use for the vector field. Don't plot too many, but plot enough to see how the vector field is "flowing."

10/26/04: I received this question:
I've begun preparing for the exam this Friday and I have one question regarding the calculation of iterated integrals. In order to receive full credit on a problem, I need only set up the integral and give what it is equal to. The in between steps are not necessary for full credit on a given problem, is this correct?

Well, not exactly. You may use a calculator (e.g., 89) to check your work, but I expect it to be worked by hand. As the preamble to every exam of mine says, "You must clearly identify answers and show supporting work to receive any credit."

08/24/04: Syllabus Correction (Important!)...
Please make this change in the Syllabus: the date of the unit final exam in Math 208 is Thursday, December 16, and NOT the Tuesday, December 14, date that is currently listed. Time is the same: 6:00 - 8:00 pm.

Gateway Information for Students of Math 208H, Fall 2004

Rules of the game:

  1. All students of Math 208H must take both the Differentiation (Test 1) and Integration (Test 2) Gateway exams.
  2. The Gateways exams for credit are proctored. For information on times and places check the Gateway schedule. However, you may take a practice exam from any location.
  3. In order to take a Gateway exam for credit you must sign up first. See the signup directions below.
  4. The times for our exams are listed at the schedule site and are as follows: Differentiation, September 1 - 14; Integration, October 1 - 14.
  5. Only one attempt for credit per day is allowed.
  6. There is a 60 minute time limit on exams for credit.
  7. A score of at least 8 out of 10 is considered passing on the Differentiation exam and 5 out of 6 is passing on the Integration exam.
  8. Your highest score on any attempt is the one that will be counted.
  9. Five points will be given for each passed exam (Test 1 and 2) and no points will be given for less than passing scores for a maximum of 10 points on the Gateways.

Signup Directions:

  1. Go to this URL. (This is our home website for the Gateway. You might want to bookmark it.)
  2. On the student menu, click "Register for this class".
  3. Fill in the form. Note that you choose your own login and password.
  4. Click "OK" and verify or correct your entries.
  5. If you happen to forget your password, register again using the same name and new login. Your instructor can use the system to combine your old records with the new ones.


Class Policy

Course: Math 208H, Honors Calculus III

Place/Time: 108 AvH, 9:30-10:20 MWRF, Fall 2004

Preq: Math 107 or equivalent, and invitation or admission to UNL Honors Program.

Objectives: This is basic skills course whose goals are to help students achieve competence in these areas:

  • Understanding concepts of vector and multivariate calculus.
  • Proficiency in the mechanics of vector and multivariate calculus.
  • Use of vector and calculus concepts in mathematical modeling.
  • Expression of mathematical ideas through writing.
Instructor: Dr. Thomas Shores

Telephone: Office 472-7233 Home 489-0560

Email: tshores@math.unl.edu

Web Home Page: http://www.math.unl.edu/~tshores/

Office Hours: Monday 2:00-4:00, Wednesday 10:30-11:30 and 3:00-5:00, Thursday 12:30-2:00, Friday 10:30-11:30, and by appointment. Office: 229 AvH

Class Attendance: Is required. If absent, it is incumbent upon the student to determine what has been missed as soon as possible. It is advisable to consult with the instructor. There will be no makeup exams.

Homework/Projects: Everyone is expected to master the syllabus homework assignments. These will generally not be graded, but at least one question on each exam will come directly from these problems. Therefore, students are strongly encouraged to work them and ask questions about them in and outside of class. There will be two writing projects, one by individuals and the other in groups of two. Students will be given an account in the Mathematics Computer Lab and are expected to attend a lab orientation session if they have not already done so. Current information about the course will be available through this lab account and the WWW (via the Math 208H homepage or my home page.) Using the web is is recommended for keeping track of due dates for projects and current activities in the course.

Reading Assignment: Read the sections of the text as, or before, they are covered in class lectures. This is a standing assignment throughout the semester.

Grade: Six 50 minute exams will be given and these will account for 75 points each. The final exam will count 200 points. All exams are closed book with calculators. The projects will count 40 points and Gateway exams 10 points. See the syllabus for a schedule of events. The final grade will be based on these 700 points.

Final Exam: Will be comprehensive. To be given on Thursday, December 16, 6:00-8:00 pm in a room TBA.

Grades of "I", "W" or "P": These grades will be given in strict accordance with University policy. (See any Schedule of Classes for the relevant information and dates.)

Keep This Information!!!
Math 208H Syllabus Fall Semester 2004

  • TEXT: Calculus, 2nd Ed., Smith and Minton, McGraw-Hill.
  • SCHEDULE: Unless announced otherwise in all sections, all topics listed herein will be possible topics on the common final. However, the daily schedule in your section could well be different from that listed below.
  • DAILY WORK: Do the reading from the sections to be covered before coming to class each day. Your instructor will be planning class activities assuming you have done the reading. The exercises suggested below represent a minimal assignment and should also be done as the material is covered. Some students may have to work additional exercises from the text to attain sufficient mastery of the material.
  • OTHER ASSIGNMENTS: Your instructor may assign a group project or other take-home work for grade. Your instructor may collect homework, give quizzes, or schedule more than the three exams listed in the schedule.
  • CALCULATORS: You will be permitted to use any calculator on the final exam. Your instructor will decide whether or not calculators are allowed on hour exams.
  • FINAL EXAM: The time for the final exam is 6:00-8:00 pm, Thursday, December 16, Room TBA. You are expected to arrange your personal and work schedule to allow you to take the exam at the scheduled time. Students with conflicting exam schedules may be allowed to take an alternate final, which is always given after the regularly scheduled final. No student will be allowed to take the final exam early. A picture ID (driver's license or student ID) is required to take the final exam.
  • ADVANCED PLACEMENT: If this is the first college mathematics course that you have attempted, then you may be eligible for 10 hours of free credit for Math 106 and Math 107, provided you earn a grade of P, C or better in Math 208 this semester. To be considered for this credit, you should register with the Department of Mathematics, 208 Avery Hall, by Thursday, September 30, 2004.

WEEK DATES SECTIONS EXERCISES

1 Aug 23-27 10.1 1, 9, 19, 21, 29, 32, 35, 36, 41, 42, 50, 54, 55, 57, 63
    10.2 6, 7, 10, 19, 27, 34, 35, 41, 46, 51, 53, 63
    10.3 5,13,15,18,21,24,29,33,38,39,41,44,47,49,50,53,56,61,66
    10.4 6, 8, 13, 21, 23, 29, 57-60, 68, 70-73, 75

2 Aug 30-Sept 3 10.5 1, 5, 8, 9, 17, 24, 26, 27, 30, 33, 35, 41, 45, 46, 49, 55, 57,62,67
    10.6 2, 5, 8, 11, 13, 15, 17, 19, 22, 24,30,35,37,43,44,45,50,52,53,60
  Sept 1   First day for Differentiation Gateway
    11.1 6-9, 11, 12, 19, 23, 26, 31, 35, 45, 48
    11.2 6, 7, 9, 11, 13, 18-20, 22-24,31,33,36,41,45,46,51,52


Friday, September 3, is the last day to withdraw from the course and not have it appear on your transcript.

3 Sept 6 (no class) Labor Day
  Sept 7-10 11.3 7,12, 14, 25, 27, 28, 34-36, 43, 44, 46, 49
    REVIEW  
    EXAM 1  

4 Sept 13-17 12.1 7, 12, 19, 20, 21, 39, 40, 42, 44, 51-55, 60,65,66,68,70,72
    12.2 1,3,4,6,11,14,15,19,24,27,30,35,38,39,43-45,49,51-56,59,60
  Sept 14   Last day for Differentiation Gateway
    12.3 1, 4, 7, 9, 11, 14, 16, 19, 24, 33, 36
    12.3 41, 44, 45, 46, 47, 48, 51, 54, 59

5 Sept 20-24 12.4 5, 7, 10, 12, 13, 16, 17, 20, 21, 24, 27, 29
    12.4 32, 33, 35, 39, 40, 42-44, 50-53
    REVIEW  
    EXAM 2  

6 Sept 27-Oct 1 12.5 2, 6, 7, 9, 12, 19, 21, 23, 26, 27, 30
    12.6 5-8, 13, 20, 23, 24, 28, 29
    12.6 31, 33, 35, 38, 42, 43, 46-49, 51-57, 63, 68
    12.7 1, 7, 8, 15, 19, 26, 29, 45, 51-54
  Oct 1   First day for Integration Gateway

7 Oct 4-8 12.7 38-41, 61, 65, 66
    12.8 1, 2, 5, 10, 12, 13, 14, 17, 23, 24, 25,34,35,37,38,47
    REVIEW  
    EXAM 3  

8 Oct 11-15 13.1 2, 5, 12, 13, 15, 16, 17, 20, 23, 27
    13.1 33-34, 36, 38, 41, 43, 47-51, 68
    13.2 6, 11, 16, 21, 27, 29, 30, 34, 35, 37, 47, 49, 55
    13.3 1, 14, 18, 21, 25, 30, 34, 38, 45, 49, 52, 54
  Oct 15   Last day for Integration Gateway


Friday, October 15, is the last day to change your grade option to or from ``Pass/No Pass''.

9 Oct 18-19 (no class) Fall Break
    (no class) Fall Break
  Oct 20-22 13.5 5, 7, 11, 13, 16, 22, 24, 27, 34, 43, 46
    13.6 5, 8, 14, 15, 18, 23, 25, 29, 33, 35, 37, 39, 43, 52

10 Oct 25-29 13.7 2-5, 20, 23, 26, 31, 34, 36
    13.7 38, 39, 45, 48, 53, 54, 59, 60
    REVIEW  
    EXAM 4  

11 Nov 1-5 14.1 5, 7, 10, 15, 18, 19, 27, 29, 30, 31, 33, 34
    14.1 3, 35, 36, 41, 42, 49-51, 54
    14.2 1, 5, 6, 11, 12, 17, 22-24, 28
    14.2 29, 31, 33, 36, 37, 39, 41-43, 46, 48, 56, 59, 60, 65

12 Nov 8-12 14.3 4, 6, 9, 15, 18, 19, 21, 24, 25, 27, 41, 45-49, 51
    14.4 1, 5, 7, 10, 12, 13, 15, 19, 21, 27, 36, 39, 41, 42
    REVIEW  
    EXAM 5  

Friday, November 12, is the last day to withdraw from the course and receive a grade of W.

13 Nov 15-19 14.5 5, 7, 10, 17, 21, 23, 25, 31, 35, 36, 38, 45, 47, 49,50,51
    14.6 5-9, 13, 15, 18, 20, 21
    14.6 24-28, 30, 31, 34
    14.6 41, 43, 45, 47, 49, 52, 57, 58, 60

14 Nov 22-23 14.7 1, 6, 7, 9, 12, 18, 21, 27, 28, 31
  Nov 24-26   Thanksgiving Vacation

15 Nov 29-Dec 3 14.8 5, 8, 9, 11, 13, 14, 16, 17
    14.8 1-3, 21, 22, 24-27
    REVIEW  
    EXAM 6  

16 Dec 6-10 REVIEW  
    REVIEW  
    REVIEW  
    REVIEW  

Final Exam: The time for the final exam is 6:00-8:00 pm, Thursday, December 16, Room TBA.

Department Grading Appeals Policy: The Department of Mathematics and Statistics does not tolerate discrimination or harassment on the basis of race, gender, religion or sexual orientation. If you believe you have been subject to such discrimination or harassment, in this or any math course, please contact the department. If, for this or any other reason, you believe that your grade was assigned incorrectly or capriciously, appeals may be made to (in order) the instructor, the department chair, the departmental grading appeals committee, the college grading appeals committee and the university grading appeals committee.