tcu math november 2015 n ?· november 2015 spring 2016 upper level math classes talks the tcu...

Download TCU Math November 2015 N ?· November 2015 Spring 2016 Upper Level Math Classes Talks The TCU Mathematics…

Post on 12-Nov-2018

212 views

Category:

Documents

0 download

Embed Size (px)

TRANSCRIPT

  • TCUMathNewsletter

    We should take care not to make the intellect our god; it has, of course, powerful muscles, but no personality.

    - Albert Einstein

    Out of My Later Life, 1950

    Vol 24 No 3 November 2015

    Spring2016UpperLevelMathClassesThe TCU Mathematics Department will offer a wideselection of upper level math classes this spring. Inaddition to the classesMath 50253 Abstract Algebra Iand Math 50323 Differential Geometry, the followingwillbeoffered:Math60223/40970SurveyofMathematicalProblemsMath60323/40970AlgebraicTopologyMath60643/40970DynamicalSystemsMath60603/40970GameTheoryMath60970/40970AdvancedRealAnalysisIfyouareinterestedintheseclasses,seetheTCUcatalogdescriptionandtheprofessorsofferingtheclasses.Theplanned mathematics course offerings for the next 4yearswillbeemailedtoallmajorsandminorssoon.CareerConsultantfortheCollegeofScienceandEngineeringGabrielaMartinezhasjoinedtheTCUCenterforCareerandProfessionalDevelopmentastheCareerConsultantliaison to the College of Science and Engineering. Herhours will be from 8 am to 5 pm at the followinglocations: Jarvis, 1st floor on Monday, Wednesday,Friday, and TUC 003G on Tuesday and Thursday. Theservices she offers include rsume reviews, interviewcoaching, career and personality assessments, and jobsearchstrategies.ToscheduleanappointmentwithMs.Martinez,call817-257-2222.

    NovemberTCUActuarialTalksBen Hagan and TCU graduate AshNyanganiofMercerwillbethenextspeakers in theTCUActuarialTalkseries. They will present the talkTheConsultingIndustry&TodaysRetirementChallengesonMonday,November2at3:30pminTUC352.In this talk, you can learn what aretirementconsultingactuarydoes,The second November actuarialtalk, presented by AON,will be onMonday, November 16 at 3:30 pmin TUC 352. Refreshments will beavailable before both talks in TUC300.FrankStonesColloquiumTalkonNovember20Professor Andrew Blumberg fromthe University of Texas in Austinwill speak in Frank StonesColloquium Series on Friday,November20.Thetalkwillat3:30pm in TUC 352 with refreshrefreshmentsservedinTUCat3:00pm.

  • SolutiontotheOctober2015ProblemoftheMonth

    Editor:RhondaHatcherProblemEditor:GeorgeGilbertThoughtoftheMonthEditor:RobertDoran

    October2010ProblemoftheMont

    November2015ProblemoftheMonth

    ThismonthsproblemwasMathCentralsfinalProblemoftheMonth.Findallpairsofrealnumbersandsuchthatallrootsof3! 12 + 2 and ! ! + 8 are nonnegative realnumbers.Students and others are invited to submit solutions to Dr. George Gilbert by e-mail(g.gilbert@tcu.edu) or hard copy (Math Dept. Office or TCU Box 298900). Correct solutionssubmittedbypersonswhoarenotmembersoftheTCUmathfacultywillbeacknowledgedinthenext issue of the newsletter.Note that a correct solution is an answer and a justification of itscorrectness.Thesolutiontotheproblemwillbepublishedinthenexteditionofthenewsletter.

    Problem:Showthat1 2!! 1 2!! 1 2!(!!!) 1 2!!

    isgreaterthanforeverypositiveinteger.Solution:(BradBeadle96)Usetheinequality 1 1 > 1 ( + )for 0 < < 1, 0 < < 1repeatedlyandthegeometricseriesformulatoconclude

    1 2!! 1 2!! 1 2! !!! 1 2!! =12 1

    14+

    18++

    12!

    >12 1

    14+

    18++

    12! + =

    12 1

    14

    1 12=14 .