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Sixty-SixthAnnual Meetingof theILLINOIS SECTIONofTHEMATHEMATICALASSOCIATIONOFAMERICAFriday and SaturdayApril 24 and 25, 1987Northern Illinois UniversityDeKalb, Illinois 60115
BANQUET INFORMATION:The dinner costs 10.50 per person and consists of V-8 juice, tossed salad, braised swisssteak, green beans amandine, baked potato,roll and butter, apple pie, and beverage. Thebanquet will be located in the Capitol Room ofthe Holmes Student Center and will be preceded at 5:30 by a cash bar. Reservationsshould be sent to Howard C.Saar, 216 N. WillowDrive East, Plainfield, II 60544 no later thanApril 18th. No banquet tickets will beavailablethe day of the conference.HOUSING INFORMATION:All events will be held in the Holmes StudentCenter, located at the corner of Lucinda Ave.and Normal Road. They feature queen andtwin beds, private baths, telephones and colortelevision. Fifty guest rooms will beheldfortheconference until April 13th. Participantsshould indicate that they are with the ISMAAmeeting when booking rooms. The price for asingle is 31.08 and for a double is 36.63. Thephone is 81 5-753-1444.Other motels include: Georgetown Motel, 1321 W. LincolnHwy. (Route 38) 81 5-756-1451 Holiday Inn DeKalb, 1212 W. LincolnHwy. (Route 38) 815-758-8661 Motel 6, 1116 W. Lincoln Hwy. (Route38) 815-756-6605VISITOR PARKING*? f& * ggtydVisitor parking is available at the corner ofLucinda Ave. and Normal Road, diagonallyacross from the Holmes Student Center. Theparking fee is .50 per hour not to exceed 3.00per day.DRIVING DIRECTIONSParticipants arriving on the East-West Tollwayshould exitatthe DeKalb West Exit and proceednorth on Annie Clidden Road. Turn right atLucinda Ave. (Field House) and then left atNormal Rd. The visitor parking lot is then onyour right. Participants arriving on LincolnHwy. (IL 38) should go north on Normal Road.After crossing Lucinda Ave., the visitor parkinglot is on your right.PRE-REGISTRATION:To expedite the registration process, confereesmay pre-register by sending their check madepayable to ISMAA to the secretary, Howard C.Saar, at the address in the banquet information. The registration fee 7.00 for members, 1.00 for retired personnel. By executive actionthis fee is waived for all new members of ISMAA(less than one year) and for all students. Theregistration fee can be combined with thebanquet cost if applicable. Also, mini-courseregistrations can be included in a single checkwith either the registration fee or banquetreservation.MINI-COURSEFriday, April 24th, 10:00 a.m.-noonLocation: Room 305, HolmesStudent CenterPresented by:Professor Robert C. MuncasterDepartment of MathematicsUniversity of IllinoisChampaign-UrbanaCost to participant: 10.00 (see pre-registration). Make check payable to ISMAA. Send toHoward C. Saar, no later than April 18th.THE ART AND SCIENCE OF MODELINGSOCIAL PHENOMENAIn recent years there has been a growing interest in the development of mathematicalmodels of a variety of social phenomena voting, bargaining, conflict and cooperation,learning, decision making, spread of rumors, etc.These numerous applications have shown thatthere is both an art and a science of mathematical modeling. As an art, modeling forcesone to be imaginative, and to question the wayin which the pieces of a puzzle might be assembled. The science of modeling forces one togain experience with other puzzles, techniques,and an awareness of both the positive andnegative aspects of different methodologies.This short course will give an overview of theuse of mathematical modeling in several socialscience disciples. The emphasis will be on (i)recognizing the artistic element in the modelingenterprise,and (ii) askingwhethermodelingasa "science" can be taught effectively to anundergraduate audience.
ILLINOIS SECTIONMATHEMATICAL ASSOCIATIONOF AMERICA1987 MEETINGNorthern Illinois UniversityDeKalbFriday, April 249:30 a.m.Board of Directors MeetingLocation: Heritage Room, HolmesStudent Center1:00 p.m.RegistrationLocation: Outside Heritage Room,Holmes Student Center1:20 p.m.Opening SessionLocation: Heritage Room, HolmesStudent CenterWelcome: Lida K. Barrett, AssociateProvost, Northern Illinois UniversityPresiding: Galen Peters, ISMAAPresident1:30 p.m.PresentationLocation: Heritage Room, HolmesStudent CenterPresiding: John Ewell, NorthernIllinois UniversitySpeaker: John Selfridge, NorthernIllinois UniversityTopic: SOME INTERESTING RESULTSON PRIME FACTORS OF BINOMIALCOEFFICIENTSWhen n k2 — 1, the binomial coefficient (k) has a prime factor less thanor equal to n/k, except for (662). Thisconjecture seems to be sharp. Let nkbe the least number greater than k 1such that ("k) has no prime factor lessthan or equal to k. Fork 16, nk seemsto be very large compared to k2,except n28 284.2:30 p.m.Coffee BreakLocation: Heritage Room, HolmesStudent Center3:00 p.m.Student Paper PresentationsLocation: Heritage Room, HolmesStudent CenterPresiding: Robert Hathway, IllinoisState UniversityAbstracts will be available atregistration.3:00 p.m.PresentationLocation: Room 305, HolmesStudent CenterPresiding: Ralph Shively, Lake ForestCollegeSpeaker: Susanna Epp, DePaulUniversityTopic: LOGIC IS MORE THAN ABRANCH OF MATHEMATICSMany of student's difficulties in understanding mathematics result fromproblems with language and with logic.There are measures that can be takento overcome these problems.4:15 p.m.ISMAA Annual Business MeetingLocation: Heritage Room, HolmesStudent CenterPresiding: Galen Peters, ISMAAPresident5:30 p.m.Cash Bar ReceptionLocation: Capitol Room, HolmesStudent Center6:30 p.m.BanquetLocation: Capitol Room, HolmesStudent CenterPresiding: Galen Peters, ISMAAPresidentSpeaker: R. Creighton Buck,University of WisconsinTopic: AT THAT TIME THERE LIVEDA GIANT.An enigma of the past, whose effectson mathematics are immortal but whois seen only as a shadow.8:45 p.m.Informal GatheringLocation: Heritage Room, HolmesStudent CenterSaturday, April 257:00 a.m.Department ChairpersonsMeetingLocation: Heritage Room, HolmesStudent Center8:15 a.m.RegistrationLocation: Room 305, HolmesStudent Center8:45 a.m.PresentationLocation: Room 305, HolmesStudent CenterPresiding: Bruce Berndt, Universityof Illinois
Presiding: Darrell Ropp, Rock ValleyCollegePanel Discussion: Carole Bauer (Chair),Triton College; John McConnell,Glenbrook South High School;Wendell Meeks, Illinois State Boardof EducationTopic: THE NEW WAVE IN MATHEMATICS? STATE COALS FORLEARNING AND MINIMUMENTRANCE REQUIREMENTSThe ISBE, ICCB,and IBHEarepressingfor improvement in education. Themathematics community has been involved and is still working on documents that will change the mathematics taught in Illinois at all levels.Speaker: Richard Askey, Universityof WisconsinTopic: SRINIVASA RAMANUJAN:WHO WAS HE, WHAT DID HE DO,AND WHY DO WE CARE?We do not only care about his workbecause he was often far ahead of histime, and we are just starting to reallyunderstand some of his work, but hisaccomplishments (given his poor education) force us to reconsider what ahuman being can accomplish.8:45 a.m.PresentationLocation: Heritage Room, HolmesStudent CenterPresiding: Dennis M. Schneider, KnoxCollegeSpeakers: Sue Eddins and CharlesHamberg, Illinois Mathematics andScience AcademyTopic: MATHEMATICAL OPPORTUNITIES AT THE ILLINOIS MATHEMATICS AND SCIENCE ACADEMY.WHAT IS AND WHAT CAN BE.Current and planned curricular andextra-curricular activities at the Mathematics and Science Academy will beoutlined. Input and suggestions willbe encouraged.9:45PresentationLocation: Room 305, HolmesStudent CenterPresiding: Ralph Czerwinksi, MillikenUniversitySpeaker: Judy Sally, NorthwesternUniversityTopic: BETWEEN DOMAIN ANDQUOTIENT FIELDSGiven a commutative domain R withquotient Field K, we ask "What typesof domains S can live between R andK?" In particular, we will survey someanswers to questions such as "Arethere properties of R that must be reflected in some way in the domainsbetween R and K?" and "Do somefields contain obstructions to beingthe quotient field of certain domainsR?"9:45 a.m.PresentationLocation: Heritage Room, HolmesStudent Center10:45 a.m.11:00Coffee BreakLocation: Heritage Room, HolmesStudent CenterClosing PresentationLocation: Heritage Room, HolmesStudent CenterPresiding: Galen Peters, GreenvilleCollegeSpeaker: Leon H. Seitelman, UnitedTechnologies - Pratt and WhitneyAircraftTopic: THE MATHEMATICALCOMPETITION IN MODELING:APPLICATIONS IN THE ACADEMICWOMBWe review some of the problems thathave been used during the first threeyears of the MCM, offer some insightsinto the tortuous path of problemsolving in an industrial setting,andcomment on the value of such a competition to prospective participants.11:55 a.m.Closing SessionLocation: Heritage Room, HolmesStudent CenterPresiding: Neale Fadden, President Elect12:00 p.m.LunchLocation: Pow Wow Room, lowerlevel of Holmes Student CenterTopic: DISCUSSION OF CALCULUSTEXTS
ISMAA EXECUTIVE BOARDGovernorJohn HookerSouthern Illinois University, CarbondalePast ChairLinda SonsNorthern Illinois University, DeKalbChair:Galen R. PetersGreenville College, GreenvilleChair-ElectNeale R. FaddenBelleville Area College, BellevilleSecretary TreasurerHoward C. Saar216 N. Willow Dr. E., PlainfieldDirector of Private CollegesRobert L. Johnson (1989)Augustana College, Rock IslandDirector of Community CollegesCarole A. Bauer (1988)Triton College, River GroveDirector of Public UniversitiesBruce C. Berndt (1987)University of Illinois, Champaign-UrbanaDirectors at LargeRobert E. Bryan (1987)Knox College, GalesburgGordon D. Mock (1987)Western Illinois University, MacombJohn A. Schumaker (1987)Rockford College, RockfordLawrence C. Eggan (1988)Illinois State University, NormalLida K. Barrett (1988)Northern Illinois University, DeKalbAlbert G. Besserman (1988)Kiswaukee College, MaltaJohn S. Haverhals (1989)Bradley University, PeoriaBarbara ). Juister (1989)Elgin Community College, ElginPatrick D. McCray (1989)G.D. Searle & Co., Chicago
Student Center Presiding: Galen Peters, ISMAA President 5:30 p.m. Cash Bar Reception Location: Capitol Room, Holmes Student Center 6:30 p.m. Banquet . Current and planned curricular and extra-curricular activities at the Math-ematics and Science Academy will be outlined. Input and suggestions will
