Course Information

Course: Foundations of Mathematics, math 221, Central College, fall 2004.  This class caries the "m" (math) core designation.
Professor: Tom Linton, office: 129 VSC, phone: (641) 628-5264 email: lintont@central.edu
Office Hours: Mon 2-2:50 PM, Tues 11-11:50 AM, Wed 8-8:50 AM, Thur 9:15-10 AM, or by appointment.
Class Meets: 9:00 to 9:50 AM MWF in VSC 164.
Texts: Foundations of Higher Mathematics, 3rd Edition, by Peter Fletcher and C. Wayne Patty. We will also be field testing the first two chapters of a new text by Thomas Sibley of St John's University in Minnesota.
Technology: We may utilize Mathematica (or other software) on occassion. The class web page is located at the URL http://www.central.edu/homepages/lintont/classes/fall04/foundationsframeset.html and there is a Blackboard site for this class as well. Information relevant to this course may come via email. You should check your email and the class web pages on occasion.
Cumulative Final Exam: Tuesday December 14, 8 AM, VSC 164.

Class Overview Foundations is a course that examines the mathematics of logic and proof as well as structures (sets, relations, functions, graphs, trees) encountered in many mathematics courses. We will study the precise language of mathematics and develop sophiscated techniques for counting objects in mathematics.

Goals and Objectives By the end of this class you will be able to:
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) in the first two weeks of this semester, 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. Working together does NOT mean copying someone else's solution, in fact, a good rule to always follow is:

When you require help on a problem, you should only have your helper
look at what you have done, and give you advise. You should never look at what they have done.

Exams We will have three midterm exams (100 points each). These exams will roughly on the dates September 17 (exam 1), October 19 (exam 2), and November 19 (exam 3). We will also have a cumulative (150 point) final exam on Tuesday December 14, at 8 AM.

Homework, Quizzes, Activities, etc. I will assign and collect homework problems on a regular basis (one assignment from each section we cover). 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. Homework is probably the most important component of this course. There will also be several assignments related to evaluating the text by Sibley that we are field testing. We may do a few in-class activities throughout the semester (where new concepts are introduced, or old notions are examined in more detail). Most of these activities will be done in groups, and all will contain questions similar to homework problems. We may have a few (2 to 4) announced quizzes. There will be roughly 400 points for this portion of your grade.

Participation You are expected to be in class each day. If you miss a day of class, you are still responsible for the materials-activities completed that day. You are expected to participate in class discussions, ask questions, and to be engaged in the day to day actions of the class. There will be 50 points associated with your class participation.

Late Assignments and academic dishonesty
Mock Trail 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 in advance regarding their absences and determine a schedule for make up work.
Late homework, activities, and projects will be penalized by 10% each lecture they are late, up to the date I return the graded assignments. Once I have returned an assignment (normally this will occur one or two class periods after I collect it), you will no longer receive credit for handing in that assignment. 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. Quizzes missed due to unexcused absences can NOT be made up. You are responsible for all of the material covered in class each day, even if you are not present.
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

Exam 2 practice questions.

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/fall04/foundations/foundations.htm#schedule and on blackboard.
Week
Dates
Section(s)
Assignment
1 8-25 to 27 1.1, 1.2
(Sibley text)
 1.1# 1,2b,e,g, 3c,e,h, 4b,f, 5e, 6g, 8 a,b,c (for #3 a,c,h only,
and argue using max-min, not tables),d due Mon 8-30.
1.2#  1a to f, 3, 4c,d, 5e,f, 7d, 8a,c,e,9a,c,e,g
2
 8-30 to 9-3
 1.3, 1.4
(Sibley text) 		1.3 # 1abefgh, 2cdg,3cdg,4bch,5bcde, 9bg,11abc
3
 9-8 and 10
 1.4
 due Mon 9-13, 1.4# 1,3,4ab,5cd,7,8,12abcd
Exam 1
4
 9-13 to 17
 1.5
 1.5 make a Hasse diagram for 225, and then for 375
#2abc, 3abc, 4, 6, 9a, 11abc, 12ab
5
 9-20 to 24
 1.6, 2.1
 1.6 #1,2,5ab,10,11ab,13bc,14abc due Fri 9-24
6
 9-27 to 10-1
 2.1
 2.1 # 1cd, 2ae, 3b, 4ab, 6de, 7b, 10bc, 14adg due Wed 9-29
7
 10-4 to 8
 2.2, 2.3
 2.2 # 1acf, 2a, 3ab (parts abc from problem 1 only),
5bc, 7abc due Fri 10-8
2.3 # 1ade, 2ab, 4d, 5b, 6c, 7c, 10bc, 13acf
8
 10-11 to 13
 2.4
 2.4 #2bc, 3a, 4c, 5, 8a, 10ab
9
 10-18 to 22
 2.4
 exam 2
10
 10-25 to 29
 6.1
 Fletcher Patty text 6.1# 3,5,12,16,20,21 due Mon 11-1
11
 11-1 to 5
 6.2, 6.3
 6.2 #29,31 for 5 pts in R^2,32,33 due Wed 11-3
6.3# 34,36,40,41,44,46,47,52,54 due Fri 11-5
12
 11-8 to 12
 4.1, 4.2
 4.1 #1,4abe,5abe,11 due Wed 11-10
4.2 # 17,18b,19,20ac,21ac,24bc due Mon 11-15
13
 11-15 to 19
 4.3
 4.3 # 26,30bdf,31,33b,34ab,36,39,42
14
 11-22 to 24
 4.4, 5.1
 4.4# 50,51,52,54,58 due Wed 11-24
17 Tuesday December 14 8 AM  Cumulative Final Exam