
Fall 2005 Math 208  Section 001  Home Page
Welcome to the Math 208, Section 001, Calculus III (Fall 2005) 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
web. Go to your favorite search engine (like the Google or Yahoo sites listed
on my home page) and try searching on "vector field." See how many web pages you hit and visit a few interesting looking sites.
Announcements
Notes and FAQ
12/16/05: About Final Exam and Grade Results...
Final exams were graded this week. The median grade for the regular sections was
about 128, while our median was 110. I'm at a loss to explain the apparent letdown since I do think, in view of class performance on earlier hour exams, that this class was capable of a better performance on the final. I'll have to rethink final exam preparation. Grades are posted outside my office and should be in the mail as well. If anyone wants to see their exam results, drop by my office. I look forward to seeing you again sometime, possibly in a future class. Have a great break!
About the unit final...
(12/02/05) In our section (001) of Math 208 the final exam is worth 200 points, so it's equivalent to 2.5 hour exams. A number of people have been 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.
Lots of help is available to you as you review the course material and problems. For one, keys to all exams are available on our course homepage so that you can fix anything you missed on the hour exams. You should also get copies of recent finals from the Union and work through them. You can post questions on our message board. You can form or join study groups via the message board. Finally, I'll be available for help pretty much all day Monday and Tuesday until midafternoon.
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 101112.
 Wednesday: Review Chapters 1213.
 Thursday: Review Chapters 1314 and do class evaluations.
 Friday: Review Chapter 14.
About a challenge exercise...
(9/19/05) In class today I gave an extra homework problem that I thought would provide a good application of tangent planes. In case you didn't write it down, here it is:
A laser beam is directed from the point (3,2,0) towards the point (1,1,3) on the elliptic paraboloid z = x ^{2} + 2y ^{2}. It is reflected off this surface. Where, i.e., in what direction?
Hints: Use Snell's law (angle of incidence equals angle of reflection) and the fact that the laser beam sees a tiny (hence very flat) portion of the surface.
Answer: Any positive multiple of the vector <2,67,41> will do.
About polar angles for 2D vectors ...
(8/23/05) I received this question:
... about the HW last night. When converting to polar form, am I correct in assuming it is just the reciprocal of a times the unit vector, and then just tan^1 of y/x of the unit vector to get the angle?
Answer: ... you just about nailed it. There is one little detail to think about, and I don't think the book mentioned it. I haven't checked all the examples, but maybe they chose them to avoid this detail: atan = tan^(1) has range pi/2 to pi/2, which doesn't cover the range of possible angles like pi to pi (or 0 to 2*pi) would. So, for example, if you wanted to put i  j into polar form, you would get an anser of atan(1/(1))=0.78540 (really pi/4), but that wouldn't be right. Draw a graph with i  j in it and you'll see why. You have to add pi to the answer to get the correct angle 5*pi/4.
Gateway Information for Students
of Math 208, Section 001, Fall 2005
Rules of the game:
 All students of Math 208, Section 001, should take both the
Differentiation (Test 1) and Integration (Test 2) Gateway exams.
 The Gateways exams for credit are proctored (practice exams are not and do not have the limitations listed below.) For information on times and places check the Gateway
schedule. However, you may take a practice exam from any location.
 In order to take a Gateway exam for credit you must sign up first. See
the signup directions below.
 The times for our exams are listed at the schedule site and
are as follows: Differentiation,
August 24  September 14; Integration, September 9  30.
 Only one attempt for
credit per day is allowed.
 There is a 60 minute time limit on exams
for credit.
 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.
 Your highest score on any attempt is the one that will be counted.
 Ten points will be given for each passed exam (Test 1 and 2) and one point per correct problem for less than passing scores giving a maximum of 20 points for the Gateways.
Signup Directions:
 Go to this URL. (This is our home website for the Gateway. You might
want to bookmark it.)
 On the student menu, click "Register for this
class".
 Fill in the form. Note that you choose your own login and
password.
 Click "OK" and verify or correct your entries.
 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.
Some Tips on Taking Gateway Exams:
 Use the previewer to check your answers. Each answer section has a "Preview" button. Use it!
 You can get a lot of useful help on how to enter answers by going to an exam page, say a practice exam, then clicking on the Help item at the top bar, then clicking on Math_Help in the contents column. You'll find there a very complete explanation on how to enter your answers into the computer.
 Take your time and read the previewed answer carefully. If, e.g., you see "sinx" instead of "sin x" or "sin(x)", then you know that the computer is going to interpret what you wrote as a single symbol. This is one of the most common errors. Another: "2/3x" will be interpreted according to the same algebraic rules of precedence that your calculator uses, that is, as "(2/3)*x". So if you meant 2/(3x), write it that way.
 If you think that an answer of yours has been graded incorrectly, make a copy of the disputed question and computer answer. Then open up a Gateway session and go to a practice exam. Type in your disputed answer (exactly as you see it on the printed sheet) as the answer to the first question and preview it (never mind what the onscreen question really is.) Does the previewed answer look like it is equivalent to the printed answer the computer gave to the disputed question? If not, bring the printed copy to me, but only after you have checked the previewer yourself.
Where do I stand right now?...
Well, that's easy enough. Here's a table to help you out. This table has all the possible grades for tests, gateways, etc, in this course. Notice there are zeros where an activity has not been completed yet. So if you are looking at this table and we've only done the exams through three, then the grade scales are based on this data alone.
Now all you need is your own scores. If you don't have them or simply want to see what grades I have recorded for you so far, email me with and give the the last 5 digits of your SSN. I will respond with the grades I have in my grade book. If you calculate your own grade remember that hour exams are prorated to 80 points, which accounts for the funny sums. Also note that the grade scales row gives the bottom score to attain the given grade.
Grade Scales for Math 208, Section 001, Fall 2005
Activity: 
Gateways/ Project 
Exam 1 
Exam 2 
Exam 3 
Exam 4 
Exam 5 
Exam 6 
Final Exam 
Grade 
Points: 
20 
100 
100 
100 
100 
100 
100 
200 
700 
Count: 
27 
27 
26 
24 
24 
24 
23 
23 
25 
Minimum: 
0 
35 
17 
43 
43 
36 
43 
55 
83 
Maximum: 
20 
100 
100 
100 
99 
95 
99 
181 
675 
Average: 
10.19 
76.37 
67.88 
75 
79.42 
70.17 
73 
115 
460 
StdDev: 
6.75 
13.98 
18 
16.48 
15 
15 
14 
38 
132 
Median: 
8 
79 
66 
80 
79 
71 
72 
110 
464 
Grade Scales: 









D 
9 
48 
48 
48 
48 
44 
48 
75 
311 
D 
10 
50 
50 
50 
50 
46 
50 
85 
332 
D+ 
11 
54 
54 
54 
54 
50 
54 
91 
358 
C 
13 
57 
57 
57 
57 
53 
57 
98 
380 
C 
13 
60 
60 
60 
60 
56 
60 
105 
403 
C+ 
14 
64 
65 
65 
65 
61 
65 
117 
439 
B 
15 
68 
70 
70 
70 
66 
70 
129 
475 
B 
16 
75 
75 
75 
75 
71 
75 
140 
513 
B+ 
17 
79 
79 
79 
79 
75 
79 
148 
541 
A 
18 
83 
83 
83 
83 
79 
83 
158 
571 
A 
19 
86 
86 
86 
86 
82 
86 
165 
594 
A+ 
20 
93 
93 
93 
93 
89 
93 
182 
647 
Class Policy
Course: Math 208  Section 001, Calculus III
Place/Time: 204 OldH, 8:3009:20 MWRF, Fall 2005
Preq: Math 107 or equivalent.
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 4727233 Home 4890560
Email: tshores@math.unl.edu
Web Home Page: http://www.math.unl.edu/~tshores/
Office Hours: Monday 2:004:00, Wednesday 10:3011:30 and 2:003:30,
Thursday 12:002:00, Friday 10:3011:30, 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. Current information about the
course will be available through the web (via the Math 208 homepage.)
Using the web is strongly recommended for keeping track of current
activities and resources for 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 80 points each. The final exam will count 200 points. All exams
are closed book with calculators. The Gateway exams will account for
10 points and a writing assignment will account for 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 Tuesday,
December 13, 6:008:00 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.)
Math 208, Section 001, Syllabus Fall Semester 2005
 TEXT: Calculus, 2nd Ed., Smith and Minton, McGrawHill.
 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 takehome work for grade. Your instructor may collect
homework, give quizzes, or schedule exams on dates other than than
those given below.
 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 6:008:00 pm,
Tuesday, December 13, 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 Friday, September 30, 2005.
WEEK 
DATES 
SECTIONS 
EXERCISES 
1 
Aug 2226 
10.1 
1, 9, 19, 21, 29, 32, 35, 36, 41, 42, 50, 53, 55, 57, 63 


10.2 
5, 8, 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 
79, 13, 21, 23, 29, 5760, 68, 7073, 75 
2 
Aug 29Sep 2 
10.5 
2, 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 


11.1 
59, 11, 14, 19, 23, 26, 31, 35, 45, 48 


11.2 
6, 7, 9, 11, 13, 1823,31,33,36,41,45,46,51,52 
Friday, September 2, is the last
day to withdraw from the course and not have it appear on your transcript.
3 
Sep 5 
(no class) 
Labor Day 

Sep 69 
11.3 
5,9,12, 14, 25, 27, 28, 3436, 43, 44, 46, 51 


REVIEW 



EXAM 1 

4 
Sep 1216 
12.1 
5, 14, 19, 20, 21, 39, 40, 42, 44, 5155, 60,65,66,68,70,72 


12.2 
1,3,4,7,12,14,15,19,24,27,30,35,38,39,4345,49,5158 

Sep 14 

Last day to take Differentiation Gateway 


12.3 
1, 4, 5, 9, 11, 14, 16, 19, 24, 3538 


12.3 
41, 4448, 51, 54, 59 
5 
Sep 1923 
12.4 
79, 12, 13, 16, 17, 20, 21, 24, 27, 29 


12.4 
32, 33, 35, 39, 40, 4244, 5053 


REVIEW 



EXAM 2 

6 
Sep 2630 
12.5 
2, 4, 5, 8 , 7, 9, 12, 19, 19, 22, 24, 2730 


12.6 
710, 13, 20, 23, 24, 27, 28 


12.6 
31, 33, 35, 36, 42, 43, 4649, 5258, 63, 68 


12.7 
1, 5, 6 , 15, 19, 26, 29 

Sep 30 

Last day to take Integration Gateway 
7 
Oct 37 
12.7 
3740, 45, 5154, 61, 65, 66 


12.8 
1, 2, 5, 7, 8, 13, 14, 19, 2325, 27, 34, 3638, 47 


REVIEW 



EXAM 3 

8 
Oct 1014 
13.1 
1, 5, 12, 1316, 20, 25, 27 


13.1 
3337, 41, 43, 4751, 63, 68 


13.2 
5, 13, 16, 21, 27, 29, 30, 34, 35, 39, 47, 49, 55 


13.3 
1, 14, 15, 21, 25, 28, 34, 38, 45, 49, 52, 54 
Friday, October 14, is the last
day to change your grade option to or from ``Pass/No Pass''.
9 
Oct 1718 
(no class) 
Fall Break 


(no class) 
Fall Break 

Oct 1921 
13.5 
58, 11, 16, 22, 24, 29, 34, 43, 44 


13.6 
6, 7, 14, 15, 18, 23, 25, 27, 33, 35, 37, 39, 43, 52 
10 
Oct 2428 
13.7 
2, 4, 7, 20, 25, 26, 31, 3335 


13.7 
40, 41, 45, 48, 53, 54, 59, 60 


REVIEW 



EXAM 4 

11 
Oct 31Nov 4 
14.1 
3, 5, 7, 10, 15, 18, 19, 27, 2931, 33, 34 


14.1 
35, 36, 41, 42, 4951, 54, 56 


14.2 
1, 6, 7, 11, 12, 17, 2022, 28, 29 


14.2 
31, 33, 36, 37, 39, 4345, 46, 48, 56, 59, 60, 65 
12 
Nov 711 
14.3 
4, 5, 8, 15, 18, 19, 21, 2527, 41, 4549, 51 


14.4 
1, 5, 7, 1115, 19, 21, 27, 36, 39, 41, 42 


REVIEW 



EXAM 5 

Friday, November 11, is the last day to withdraw
from the course and receive a grade of W.
13 
Nov 1418 
14.5 
6, 7, 10, 17, 21, 23, 25, 31, 35, 36, 38, 45, 47, 49,50,51 


14.6 
59, 13, 15, 1921 


14.6 
2428, 30, 31, 34 


14.6 
4149 (odd), 52, 57, 58, 61 
14 
Nov 2223 
14.7 
1, 6, 7, 9, 12, 18, 21, 27, 28, 31 

Nov 2122 

Thanksgiving Vacation 
15 
Nov 28Dec 2 
14.8 
13, 79, 11, 13, 14, 16, 17 


14.8 
21, 22, 2427, 34 


REVIEW 



EXAM 6 

16 
Dec 59 
REVIEW 



REVIEW 



REVIEW 



REVIEW 

Final Exam: The time for the final exam is 6:008:00 pm,
Tuesday, December 13, 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.
