Dr. J. Caldwell
x3871 Rob, x 3924 Triad 6105651391 Home 
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 computerrelated algorithms.
Text:Excursions in Modern Mathematics by Tannenbaum & Arnold.
Recommended Calculator: TI 83 or TI 83+
Course Requirements:
ProjectA formal project will be assigned inclass on March 14^{th}.You may work in groups
during class, but every student must hand in his/her own solution on March 26^{th}
(after spring break).15%
of your grade
ExamsThere will be two announced inclass 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 makeup 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


