Dr. J. Caldwell

caldwell@rowan.edu

x3871 Rob, x 3924 Triad

610-565-1391 Home

CONTEMPORARY MATHEMATICS

Spring 2002

Office Hours:

T, R Rob 11 to 12

R Triad 2 to 3:15

or by appointment

Course Description:This course is designed to develop an appreciation of what mathematics is ad how it is used today.Topics covered include statistics and probability; networks, algorithms; geometrical perspectives; and the mathematics of social choice.

Objectives:

·Develop problem solving and critical thinking skills.

·Expand understanding of and appreciation for contemporary mathematics and its uses.

·Develop understanding of both continuous and discrete appplications of mathematics.

·Highlight some of the more recent developments in mathematics.

·Improve mathematical and computer skills through the use of computational and computer-related algorithms.

Text:Excursions in Modern Mathematics by Tannenbaum & Arnold.

Recommended Calculator: TI 83 or TI 83+

Course Requirements:

ProjectA formal project will be assigned in-class on March 14th.You may work in groups

during class, but every student must hand in his/her own solution on March 26th

(after spring break).15% of your grade

ExamsThere will be two announced in-class exams.20% of your grade each

FinalA comprehensive final exam will be given.25% of your grade

QuizzesApproximately 10 unannounced quizzes will be given.These may consist of a

review of homework problems.No make-up quizzes will be given.Students may

drop their lowest quiz grade.20% of your grade

Course Policies:

Attendance/Class Participation: You are expected to attend each class; it is impossible to participate in the problem solving activities unless you are present.Since the activities are designed to help you build your own understanding of mathematics, Agetting the notes@ from someone else will simply not work!Attendance will be taken at the beginning of each class session.More than three absences and/or excessive lateness may result in a lowered final grade.

Makeup Exams: Makeup exams will be given only if you have called and left a message prior to the start of the exam indicating the reason for your missing the scheduled exam.Valid reasons should be beyond your control (e.g.,illness, accidents, hospitalization); oversleeping is not a valid reason to miss an exam.Makeup exams will generally be scheduled as soon as possible.

Course Outline:The following table gives a tentative outline for the course.Reading assignments are to be completed as homework following each class.
 
Date
Topic
Reading Assignment
Homework Exercises
1/22
Collecting Statistical Data
Ch. 13
17, 18, 19, 20, 21, 27, 28, 29, 30
1/24
Visit to CAP Center
Ch. 14
1/29
Descriptive Statistics
Ch. 16
Ch. 14 (p. 497)# 1, 2, 3, 4, 23, 24, 35, 43, 45, 49, 51, 55, 56, 67, 69, 70, 71a, 78
1/31
Normal Distributions
Ch. 16 (p. 560) # 13, 14, 17, 19, 27
2/5
Ch. 15
Ch. 16 (p. 560) # 31, 32, 34, 39, 59, 60
2/7
Probability
Ch. 15 (p. 530) # 1, 4, 11, 12, 14, 16, 19ab, 21, 23
2/12
Ch. 15 (p. 530) # 35, 37, 41, 43, 49, 51, 52, 55, 66
2/14
Review
2/19
Exam #1
Ch. 5
2/21
Euler Circuits
Ch. 5 (p. 182) # 23, 24, 27, 29, 30
2/26
Ch. 6
Ch. 5 (p. 182) # 33, 35, 41, 43, 45a, 47
2/28
Traveling Salesperson Problem
Ch. 6 (p. 218) # 5, 11, 15, 19, 24, 26, 28, 29
3/5
Ch. 7
Ch. 6 (p. 218) # 34, 37, 40, 41, 43, 44
3/7
Networks
Ch. 8
Ch. 7 (p. 258) # 1, 7, 11, 21, 29, 33
3/12
Scheduling
Ch. 8 (p. 303) # 9, 14, 17, 29, 49, 58
3/14
Project
3/26
Spiral Growth
Ch. 9
Ch. 9 (p. 338)# 5, 15, 33, 37, 41 
3/28
Symmetry
Ch. 11
Ch. 11 (p. 394) # 1, 3, 5, 11, 13, 15, 17, 21, 42, 57, 71
4/2
Fractals
Ch. 12
Ch. 12 (p. 434) # 1, 2, 3, 4, 13, 14
4/4
Ch. 12 (p. 434) # 17, 18, 19, 20, 21, 22, 23, 24
4/9
Review
4/11
Exam #2
Ch. 1
4/16
Voting Methods
Ch. 1 (p. 25) # 1, 17, 19ab, 25, 31a
4/18
Ch. 2
Ch. 1 (p. 25 ) # 33, 36; Ch. 2 (p. 63) # 1, 5, 7
4/23
Weighted Voting Systems
Ch. 3
Ch. 2 (p. 63) # 11, 12, 17ae, 23, 25, 42
4/25
Fair Division
Ch. 4
Ch. 3 (p. 101) # 9, 11, 17, 25, 47
4/30
Apportionment
Ch. 4 (p. 142) # 13, 17, 23, 61
5/2
Review