Senate Transmittals April 29, 2003

The Undergraduate Council approved the following: COLLEGE OF ARTS AND SCIENCES Department of Mathematics New Course MA 111 Introduction to Contemporary Mathematics An introduction to concepts and applications of mathematics, with examples drawn from such areas as voting methods, apportionment, consumer finance, graph theory, tilings, polyhedra, number theory and game theory. This course is not available for credit to persons who have received credit in any mathematics course of a higher number with the exceptions of MA 112, 123, 162, 201 and 202. This course does not serve as a prerequisite for any calculus course. Credit not available on the basis of special examination. Prereq: Two years of high school algebra and a Math ACTE score of 19 or above, or MA 108R, or math placement test. Action: Approved

APPLICAUON FOR NEW COURSE

t'\~ \9( 2.(t~ 3

~~~t. ~Q. ~e&7:-1 Submitted by College of Arts and Sciences Date

DepartmentIDivision offering course Mathematics

2. Proposed designation and Bulletin description of this course

a. Prefix and Number MA 111 b. Title. Introduction to Contemporary Mathematics.NOTE: If the title is longer than 24 characters (including spaces), writeA sensible title (not exceeding 24 characters) for use on transcripts Contemporary Mathematics

3Lecture/Discussion hours per week d. LabOratory hours per week 0c.

0Studio hours per week f. Credits 3

e.

Course description

g.

See attached.

h. Prerequisites (if any)

See attached.

(if applicable)May be repeated to a maximum of

To be cross-listed as4.

Signature. Chainnan, cross-listing departmentPrefix and Number

5. Effective Date

6. Course to be offered

~Yes DNoWill the course be offered each year?(Explain if not annually)

7.

Why is this course needed?

8.

This course is proposed to be an alternative course to satisfy the USP Basic Skills

requirement for students not planning to major in disciplines requiring calculus.--~--- ---~~~ ~ -~ --~

a. Bywhorn will the course be taught? Mathematics faculty, instructors, and TA's.-

Are facilities for teaching the course now available? ~ Yes D NoIf not, what plans have been made for providing them?

9.

b.

APPLICA nON FOR NEW COURSE PAGE 3 of3

Date

MAR 1 9 2003Date of Notice to the Faculty

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.d<-.t.,..-U...; c"7£.~.J--::M~~~~ ~~~~~ ~te~~~~~~~:::~ : :'

Date*University Studies

Date--

*Graduate Council

* Academic Council for the Medical Center Date

Date of Notice to University Senate* Senate Council (Chair)

*If applicable, as provided by the Rules of the University Senate

AcnON OTHER THAN APPROVAL

Rev 11/98

Pwposed IOO-Level Mathematics Course at UK

Subject: Proposed tOO-Level Mathematics Course at UKDate: Wed, 19 Mar 2003 13:18:24 -0500

From: Peter Anton Perry <chair@ms.uky.edu>Organization: University of Kentucky Mathematics Department

To: smcareO@uky.edu, Carolyn.O'Daniel@kctcs.eduCC: Mathematics Chair <chair@ms.uky.edu>, leep <leep@ms.uky.edu>

Dr. Sandra O'Carey, Acting Dean of AcademicTo:Affairs, LCC

Dr.

Carolyn O'Daniel, Director of AcademicAffairs, KCTCS

FrOIr\: Peter Perry, Chair, Mathematics, UK

Subject: New lOO-level Mathematics Course Proposal

Date: March 19, 2003

This is to notify you that the UK Mathematics Department is submitting a

new course proposal for a Contemporary Mathematics course. The fulldetails are contained in the attachment (PDF file). I would be happy toanswer anyquestions you might have.

Sincerely yours,

Peter Per~, ChairDepartment of MathematicsUniversity of KentuckY

Peter A. Perry, ChairDepartment of MathematicsUniversity of KentuckyLexington, Kentucky 40506-0027U.S.A.WWW:

www.ms.uky.edu/-chairPhone: +1 859 257 6794FAX: +1 859 257 4078

3/19/20031:19 PMofl

From: Peggy Saunier psaunie@uky.eduSubject: Contemporary Math

Carl -I'm looking forward to piloting the new Contemporary Math cour~enext fall. We've scheduled two sections of A&S 100 for MWF 10 and 11.I'd like to try to follow what you're doing, so when you have meetings withthe TA's who will be working with you on this project, if you think it wouldbe appropriate I'd like to come and listen. Also, I'd like to use the sametextbook you do, so after you choose a text, if you'd let me know the nameand author I will ask our math coordinator to order copies for our sections.Thanks' for including us in this project. Peggy Saunier

Peggy Saunier, Ph.D.Professor, Math

Lexington Community College120 Moloney BuildingLexington, KY 40502-0235859-257-4872, ext. 4128fax: 859-257-9579

does) serve students going on to business calculus. However, the majority of stu-dents would take a terminal survey course that satisfies university requirements.This course could possibly include some discrete mathematics. The scope of the

!

new survey course should be determined from consultations with advisors fromacross the university4. The new survey course could be taught in larger sections,perhaps using the computer-assisted learning methods now being developed inthe Chemistry Department for CH 105. This would free up considerable PTI/TAresources for other use or permit a lower TA teaching load.

MA 108R covers material usually presented in high school and should not beoffered by UK. Teaching of remedial mathematics has been eliminated in manyof UK's benchmark universities. LCC should be used for this remedial purpose.Students with a weak mathematics background, who only need to satisfy univer-sity course requirements, could still take the proposed new survey course. Thefew remaining students who fail the ACT entrance requirement of 109 and yetneed 109 as a prerequisite for business calculus should get that pre-high schoolremediation at a community college. The ACT score is used to decide whichstudents must take 108R before 109. Currently the ACT threshold for placementin 109 is 18. The department has data correlating success in the 109 course withACT score. Raising the ACT threshold by one point would improve the successrate. There are problems with this proposal, however. The department indicatedthat they have been unable to get advisors across the university to respect thecurrent placement policies. This may be beyond what a single department can

do5."

4Note: This occurred within the context of a University-appointed USP subcommittee, which also rec-ommended the creation of an alternative course to MA 109. CWL

5Note: The ACT entrance requirement for MA109 has since been raised to 19. CWL

Possible Texts

1. COMAP, For All Practical Purposes.

2. Tannenbaum, Excursions in Modern Mathematics.

3. Hathaway, Mathematics for the Modern World.

4. Pirnot, Mathematics All Around.

5. Gilbert and Hatcher, Mathematics Beyond the Numbers. (Currently used at NKU.)

Other Institutions with Similar Courses

1 University of Louisville, Math 105, Introduction To Contemporary Mathematics.

2. NKU, MATl15, Math for the Liberal Arts. Text: Gilbert and Hatcher, MathematicsBeyond the Numbers, Wiley.

3. NC State, MA 103, Topics in Contemporary Mathematics. Text: COMAP, For AllPractical Purposes, Freeman.

4. Ohio State, Math 116, Excursions in Mathematics. Text: For All Practical Purposes.

5. Penn State, Math 035, General View of Mathematics.

Tan, Finite6; Texas A&M, Math 166, Topics in Contemporary Mathematics. Text:Mathematics for the Managerial, Life, and Social Sciences, Brooks/Cole.

7. University of Arizona, Math 105, Mathematics in Modern Society. Text: Tannenbaumand Arnold, Excursions in Modern Mathematics, Prentice Hall, and Parks, ConsumerMath.

8. University of Georgia, Math 1060, Mathematics of Decision Making.

9. University of Maryland, Math 110, Elementary Mathematical Models.

10. University of Minnesota, Math lOOl, Excursions in Mathematics. Text: Excursions inModern Mathematics.

11

Text: For All Practical12 University of Texas, M302, Introduction to Mathematics.Purposes or The Heart of Mathematics.

Application for New CourseMA 1111 -Introduction to Contemporary Mathemati.cs--

MAIII -Student Learning Outcomes

at the web address www.ms.ukv.eduJ-ch~r/mai ~ I.pdf, ., '. ..,i.. .

Basic Skills Requirement: This course will fulfill the University Studies Basic Skillsrequirement, and can be followed by PHI 120 and STA 200 to fulfill the Inference requirement.Note, however, that A&S 100 WILL NOT COVER THE PREREQUISITE MATERIALFOR CALCULUS COURSES.

Course: A&S 100 Section 004, MWF 1-1:50, CP 220. BEGINNING FRIDAY, SEPTEM-BER 6, WE WILL BE MEETING ON FRIDAYS AT 1:00 IN THE MATH HOUSE. TheMath House is located at 417 Columbia Avenue. It is behind the W.T. Young Library andbeside the Baptist Student Union.

Instructor: Carl Lee

Office: 967 Patterson Office Tower

Phone: 257-1405 (or 257-3336 to leave a message)

Email: lee@ms.uky.edu

Web Page: http://wwv.i.ms.uky.edu/-lee

Office Hours: MWF 2-2:50, and by appointment.

Prerequisites: Two years of high school algebra and a Math ACTE score of 19 or above,or MA 108R, or math placement test.

Text: Mathematics Beyond the Numbers, George T. Gilbert and Rhonda L. Hatcher, Wiley,2000.

Material to be Covered: We will be covering sections 1.1-1.5, 2.1-2.4, 8.1-8.4, 7.1-7.3, 9.1, and 3.1-3.5 of your text. Topic include, but are not limited to, Voting Methods,Apportionment, Modular Arithmetic and Check Digits, Polyhedra and Tilings, AlternateMove Games, and the Mathematics of Money. At times during the semester, your instructormay provide you with supplemental material.

1

The University of Kentucky Bulletin explains: Grade A represents exceptionally high achieve-ment as a result of aptitude, effort, and intellectual initiative. Grade B represents a highachievement as a result of ability and effort. Grade C represents satisfactory achievement.Grade D represents unsatisfactory achiev~ment and is the minimum grade for which creditis given. Grade E represents unsatisfactory performance and indicates failure in the course.

University Studies Program: A&SlOO is part of the University Studies Program. Assuch, it has a writing component. Students will be expected to write coherently on assign-ments and exams.

Working Together: It is ok to work together on homework. However, when it comes timefor you to write up the solutions, I expect you to do this completely on your own, and itwould be best for your own understanding if you put aside your notes from the dis~ussionswith your classmates and wrote up the solutions entirely from scratch. Working together onexams, of course, is expressly forbidden.

Calculator: Students may use a graphing calculator on exams and homework, but theinstructor reserves the right to clear the memory of any calculator during an exam. Anyattempt to store notes in the memory of the calculator for an exam will be considered

cheating.

Absences: You are expected to attend every class. If you are not able to turn in a homeworkassignment, take a quiz, or take an exam because of an unexcused absence, you will not beable to turn the homework in late or take the. quiz or exam. A University excuse froma scheduled class activity such as an exam must be presented in writing no later than twoweeks prior to the date of the absence. An absence due to illness or family emergency may beexcused, provided that you can supply acceptable written evidence if required, and that younotify the lecturer or the teaching assistant as soon as possible. Notification is almost alwayspossible immediately upon occurrence of an emergency. If you're too sick to telephone, youcan get a friend to do it. Failure to make such timely notification may result in denial ofyour request. For an explanation of valid excused absences, refer to U.K.'s Student Rightsand Responsibilities, http:j jwww.uky.edujStudentAffairsjCodejpart2.html.

Cheating: The University's minimum penalty for cheating or plagiarism is a failure in thecourse. Cheating or plagiarism can lead to expulsion from the university. See Student Rightsand Responsibilities, http://www.uky.edu/StudentAffairs/Code/part2.html, for informationon cheating, plagiarism, and penalties. It's not worth it, so don~t do it.

3

Introduction to Contempomry MathematicsA&S 100-004 Calendar

Fall 2002

Text Mathematics Beyond the Numbers by George T. Gilbert and Rhonda L. Hatcher, ISBN0-471-13934-3.Calendar The calendar below gives the dates of exams and other important dates for the course.

w~ ')Q A,," 1:1 1 DI.._I':"" --.1 n__- -~ or., ,Wed,28Aug §1.1 Plumlity and Runoff MethodsFri, 30 Aug §1.2 Borda's Method

Assignments #0 and #1 dueMon, 02 Sept Labor Day -No ClassesWed, 04 Sept §1.3 Head-to-Head Comparisons

Assignment #2 dueFri, 06 Sept WorkSheet Day

Assignment #3 dueMon, 09 Sept §1.4 Approval VotingWed, 11 Sept §1.5 The Search for an Ideal Voting System

Assignment #4 dueFri, 13 Sept WorkSheet Day

Assignment #5 dueMon, 16 Sept §2.1 Quota MethodsWed, 18 Sept §2.2 Divisor Methods

Assignment #6 dueLast day to withdraw from a classwithout receiving a W.

Fri, 20 Sept Worksheet DayAssignment #7 due

Mon, 23 Sept ReviewWed, 25 Sept Exam 1

Fri, 27 Sept §2.3 The Huntington-Hill Method§2.4 The Search for an Ideal Apportionment MethodAssignment #8 due

Mon, 30 Sept §8.1 Divisibility and PrimesAssignment #9 due

Wed, 02 Oct WorkSheet DayFri, 04 Oct Fall Break -No Classes

Mon, 07 Oct §8.2 Modular ArithmeticAssignment #10 due

Wed, 09 Oct §8.3 Divisibility TestsAssignment #11 due

Fri, 11 Oct WorkSheet Day