Course Information

Course: Mathematics 231 A, MultivariableCalculus, Fall 2006, Central College. This class carries the "m" (math) core designation.
Professor: Tom Linton , 129 Vermeer Science Center, (641) 628-5264, email: lintont@central.edu.
Class Meets: MWF from 2:00 to 2:50 PM in VSC 141.
Office Hours: Mon 12-12:50 PM, Tues 9-9:50 AM, Wed 3-3:50 PM, Fri 1-1:50 PM, or by appointment.
Text: Multivariable Calculus 4th Edition, by Hughes-Hallett, Gleason, McCallum et al.
Technology: A graphing calculator similar to the TI-83 is required. If you have one, you should bring it to class daily. Calculators may be used on all exams. We will utilize Mathematica and perhaps other software applications as well. No prior knowledge of these programs is assumed. The class web page is located at the URL http://www.central.edu/homepages/lintont/classes/fall06/multiframeset.htm. There is a BlackBoard site for this class as well, and information relevant to this course may come via email. You should check your email and the class web pages on occasion.
Final Exam: Thursday December 14, 1:00 PM in VSC 141.

Class Overview

In this class, we will take the ideas from two-dimensional calculus (i.e., Calculus I and II) and see how we can expand them into three dimensions and higher. Many of the ideas seen in this class are used quite frequently in higher-level physics and analytic chemistry. We will examine ideas such as: functions of two (or more) independent variables; vectors; ``slope" in higher dimensions; local extrema; multiple integrals; and line integrals. Any student taking this class is assumed to have a good working knowledge of two-dimensional calculus. As a result, there will be little or no review of topics from Calculus I and II.

Our text is exceptional and may differ significantly from mathematics texts which you have used previously. Unlike many mathematics texts, you should find our text to be a wonderful learning resource, specially designed to be read (as opposed to just a source of questions with similar examples). You should strive to read the text, it is written with you in mind. Reading mathematics is a skill we will focus on in this course and an active process, unlike reading most novels or poems. Your homework assignments will likely contain fewer problems than past assignments, and it is expected that you will struggle with most of these problems. Deciding what to do in order to solve a problem will play a major role in this course, and "doing it" correctly is important, but by no means the only requirement for success. In short, we will emphasize the why much more than the how in this course. Most students that struggle with calculus fall behind at some point, avoid this like the plague. One day at a time, calculus is easy! If you blow off a few days, it can become much more challenging.

Goals and Objectives

Upon completing this class, students will American Disabilities Act Central College abides by interpretations of the Americans with Disabilities Act and Section 504 of the Rehabilitation Act of 1973 that stipulates no student shall be denied the benefits of an education “solely by reason of a handicap.”  Disabilities covered by law include, but are not limited to, learning disabilities, hearing, sight or mobility impairments, and other health related impairments.  If you have a documented disability that may have some impact on your work in this class and for which you may require accommodations, please see me and Nancy Kroese, Director of Student Support Services and Disability Services Coordinator, (x5247) so that such accommodations may be arranged.

Grades

Grades, based on the letter, or A, A-, B+, B, B-, . . . system, will be based on a curve of the total points in the class. The curve used will be the traditional 100-93 A, 92-90 A-, 89-88 B+, etc. (or an easier curve). The breakdown of the points in the class is given below. There is no extra credit for this class. You are encouraged to work together on group assignments (including homework), but copying answers of others (including those in the back of the text) will result in no credit.

Exams: There will be two or three midterm exams worth 100 points each. Tentatively, the midterm exams will occur approximately on the dates September 13 (exam 1), October 6 (exam 2) and November 15 (exam 3). We will also have a cumulative final exam worth 150 points.

Quizzes and Homework: I will collect homework assignments regularly (after each section of the text is covered) and there will be semi-regular (about every three weeks) quizzes. Normally, quizzes will be announced. There will be approximately 300 points total based on your homework and quiz grades. Recording "just the answer" will receive little or no credit. You should show and/or explain your work on all assignments for this class. You are encouraged to work together on homework assignments, but this does NOT mean copying the work of others nor answers from a solution set.

Activities: We will likely complete several activities (mostly in groups), some in-class, others may be out of class. These activities will involve the current topics of the course and normally serve as an introduction of a concept, or an application of a concept covered earlier. We will have approximately 100 points (total) worth of activities. Several of these activities will involve the program Mathematica.

Class Participation and Attendance: There will be 50 points based on your class participation (asking questions, taking part in discussions, contributing to your group in activities, etc.) and attendance. I will determine your score for these 50 points. You are responsible for all of the material covered in class each day, even if you are not present.

Late assignments and academic dishonesty: Mock Trial participants, choir tour participants, athletes, and others who must miss a class for participating in a college sanctioned event are expected to notify me in advance and complete work including tests in advance of the absence. It is the student's responsibility to communicate with me well in advance (2 to 3 days) regarding their absences and determine a schedule for make up work.

I will drop your lowest two homework assignments. In addition, each student will receive four "days" of allowed (penalty free) late assignments. An assignment is late "one day" if it is turned in after I collect it, up to the following lecture period, at which point the 2nd late day begins, and runs up to the next class period, etc. Other than the dropped scores and each student's four days of penalty free lateness, there is no credit for late work. Quizzes missed due to unexcused absences can NOT be made up. I am fairly flexible about giving exams at alternate times, BUT you should definitely warn me before the exam is missed, and plan on taking it early rather than late.

Plagiarism and cheating of any form are serious offenses and may result in an F for the assignment, the course, or expulsion from the college.  The details of Central's Academic Integrity policy are found in the Student Handbook, on the web. A copy will be sent to you via e-mail during the first week of the semester. It is your responsibility to read and understand the contents of that policy before you submit work to be graded. Questions regarding the policies and enforcement of the policies may be addressed to me during class or during office hours.

Class Materials

TI-83 tutorials
Mathematica Notebooks



Schedule

Relevant information will be added to this schedule as we progress through the semester. An up to date version is available on line at http://www.central.edu/homepages/lintont/classes/fall06/multiframeset.htm#schedule and on BlackBoard.
 
Week
Dates
Sections
Assignment
1
8-23 to 25
12.1, 12.2
12.1# 4,6,7,14,20,23 Due Fri 8-25
12.2 # 2,5,8,12,16,17,19 Due Wed 8-30
2
8-28 to 9-1
12.3
12.3 #2,5,13,16,17,18,20,24 due Wed 9-6
3
9-5 to 8
12.4
12.4 # 1,4,7,8,12,13,16,24 Due Fri 9-8
4
9-11 to 15
13.1, 13.2
13.1 # 2,6,14,16,20,25,30 Due Wed 9-13
13.2 # 4,5,6,10,12,14 Due Fri 9-15
5
9-18 to 22
13.3, 13.4
exam 1
13.3 # 6,8,18,20,24,30,33,34,35 Due Fri 9-22
6
9-25 to 29
14.1, 14.2
13.4 # 4,9,12,16,18,22 Due Mon 9-25
14.1 # 6,8,10,12,15,16,17 Due Mon 10-2
14.2 # 2,5,6,10,20,28,34,37,40 Due Wed 10-4
7
10-2 to 6
14.3
14.3 # 2,4,8,12,14,18,21,24 Due Fri 10-6
8
10-9 to 13
14.4, 14.5
14.4 # 2,6,9,14,22,28,34,36,44,47,48,50,54,65,66 Due Fri 10-13
14.5 #2,4,9,12,15,18,24,30,32 Due Mon 10-16
9
10-16 to 18
14.6
14.6 # 2,6,14,16,21,22,24 Due Mon 10-23
10
10-23 to 25
14.7
14.7 # 2,5,12,20,28,30,33,38 Due Fri 11-3
11
10-30 to 11-3
15.1
15.1 # 1,4,8,11,14,16,20,24,30 Due Wednesday 11-8
12
11-6 to 10
16.1, 16.2
A worksheet to introduce double integration
16.1 # 2,10,16,19,20,26,27 Due Mon 11-13
13
11-13 to 17
16.3
16.2 # 2,4,6,9,14,16,20,22,28,30,40,44 due Fri 11-17
17
Thur Dec 14
1:00 PM
150 Point Cumulative Final Exam