CALCULUS III

Objectives

Professor

Textbook

Attendance

Grades

Exams

Quizzes

Written Assignments

Calculators & Computers

Homework



Objectives:

  • To learn about vectors in two and three dimensions and about lines planes and surfaces in three space.
  • To study a variety of coordinate systems in three dimensions.
  • To extend the definitions of limit, derivative and integral to vector valued functions.
  • To study partial differentiation and its application to finding extrema for functions of several variables.
  • To be able to set up and calculate double and triple integrals.
  • To learn about line and surface integrals and some of the important theorems from vector calculus.


Professor

Dr. Christine Shannon
Olin 115
Phone: 5406 (Office) 238-7422 (Home)
e-mail: christine.shannon@centre.edu
You might also be interested in visiting my home page at http://web.centre.edu/shannon/.

Office hours: I am generally on campus every day between 7:30 a.m. and 4 p.m. and often later than that.. If I am not in class, I am usually in my office or one of the computer labs. You are usually welcome to stop in. I teach in the following blocks: A, D, and G and I have a lab on Tuesday afternoon.

I will try to observe the following office hours but occasionally a meeting will be scheduled which I have to attend.

M-W-F

9:10 - 10:10 a.m.
2:00 - 3:00 p.m.

Th 9:00-11:00 a.m.

Please feel free to come by at other times and you are always welcome to make an appointment.


Textbook and Software

Larson, Roland E., Robert P. Hostetler, and Bruce H. Edwards. Calculus with Analytic Geometry. 8th Edition. Boston: Houghton Mifflin Company, 2006.

We will be using the computer algebra system Maple in this course. You will find it on all the lab computers. I will give you instructions on how to use it for the topics in this course.


Attendance

I expect students to be present for all classes. Please let me know in advance if you must be absent for a scheduled college activity. Illness might prevent you from being present for a couple of classes during the semester but anything beyond that will probably have a detrimental effect on your grade. Those of you who must be absent for college sponsored activities should be particularly careful not to miss any other classes. It is very important that you be present for all examinations. Documentation will be required before you are allowed to make up a test. Only the Associate Dean can make exceptions to the final exam schedule. If you have a good reason to be absent from class, you are still responsible for the homework assignments. Except in the case of serious illness, all assignments are to be turned in on time.

Classroom rules: Please be on time, turn off cell phones, remove caps, and avoid bringing any food or drinks to class. Do feel free to ask questions, and participate fully in the discussions. We want to treat each other with respect and courtesy and anything less will not be tolerated.


Grades

Your grade for the course will be determined by the following:

Tests (3) 100 points each
Quizzes 50 points (total)
Projects 50 points (total)
Homework 50 points (total)
Final Exam 150 points

Your final grade will be determined by the total number of points you accumulate out of the 600 possible points. Borderline cases will be determined by improvement on the final and participation in class. Students who are ill-prepared, miss class, or otherwise fail to live as responsible citizens will not get the benefit of any doubt. I will use a 15 point grading scale so that you are guaranteed an A or A- if you score 85 or above, a B-, B or B+ for 70-84, C-,C or C+ for 55-69 a D for 45-54 and anything lower is failing. However, at the end of the semester, I reserve the right to give a higher grade than this if the grade distribution warrants.


Exams

There will be three exams on Friday, March 6, Wednesday April 8,, and Wednesday, May 6. There will also be a cumulative final during the final exam period on Monday, May 18 .


Quizzes

Five minute quizzes will be given at the beginning of nearly every class. This means you need to be on time. These will be based on the previous class lecture and the homework exercises. This means you should come to class having the homework complete. It will not be necessary to use calculators for these questions and you will not be permitted to do so. If you do the homework and look over your notes a bit before coming to class, then you should do fine on the quizzes. I will drop at least three of the lowest quizzes at the end so that except for extreme situations which necessitate more absences than that, there will be no makeup quizzes. The percentage of possible points that you receive will determine how many of the 50 points you receive for your final grade.

Written Assignments

Exercises will be assigned covering each day's lecture. These problems must be completed for the next class. Even if you have an excused absence, your homework must be turned in on time.

I will call on students to put a few of the hardest problems on the board most days. You are of course free to work on the problems with others or to get help from me but you are on your own at the board. I will note your participation and how well you are prepared. The level of your preparation and willingness to participate will be used to determine "borderline" cases. I will collect problems daily and assign a grade from 0-5 points based primarily on how complete and well done they appear. The problems must be written in a coherent style with enough detail so I can easily follow. The work must be neat. There will be some grace given at the end of the semester but I do not accept late assignments. The percentage of the possible points which you receive will be used to determine how many of the 50 points you receive toward your final grade.

Over the course of the semester you will be given two or three projects which are more extensive than typical exercises. Some of these will be done with a partner. These will be carefully graded for content, clarity and completeness. Your scores on these projects will determine how many of the 50 points you receive toward your final grade.  

Projects must be the exclusive work of those whose name(s) appear on the paper. Submitting work as your own, when it is not, is considered plagiarism and will be referred to the Associate Dean.


Calculators and Computers

Although these are wonderful tools, proficiency in their use is no replacement for genuine understanding of the concepts of calculus. You will not be allowed to use these tools during quizzes; they will be written so that you can do the problems without them. You are also encouraged to be careful in how you choose to use these tools in doing your homework. The homework problems are intended to increase your understanding of the material and judicious use of these tools may be appropriate. However, while doing your homework, you should also attempt to simulate to some extent the quiz and test environment which will determine to bulk of your grade.