Calculus1371ProjectGuidelines-Sections031034

1.Theprojectconsistsofwritingupthesolutionstotwoproblemsasyouwouldinaresearchpaper. Theproblemsshouldbetreatedseparatelybutbestapledtogetherasasinglepaper. Startproblem2onanewsheet.

2.Yourfinishedprojectshouldhaveacoversheetwhichliststhenamesofeverymemberinyourgroupandyoursectionnumber.

3.Agoodresearchpaperstartswithanintroduction. Writeout(copy)eachproblemcompletely. Thisasaminimumcouldserveasyourintroduction.

4.Solveandcompletelydiscussyoursolutiontotheproblems. Besuretoreadthe

instructionsforeachoftheproblemsandsupplyalltheanswersrequested.

5.Accompanythesolutionswiththeappropriatediagrams. Besuretocorrectlylabelthediagramsandnamethevariables.

6.Presenteachsolutioninaneat,orderlyfashionworkingfromtoptobottomofthepages-notscatteredalloverthepageasinthecaseofsomeofyourhomework.

7.Typeasmuchoftheprojectaspossible. Mathematicalequationsandexpressionscanbeneatlyhandwrittenifnecessary.

8.Aftereachproblemhasbeensetupandanequationforit'ssolutionhasbeenfounditistobesolvedbyNewton’smethodasIhavedemonstratedorwillbedemonstratingontheboard.

a.Statef(x)

b.Statef’(x)

c.Findanintervalforthesolutionoff(x)=0usingeithersyntheticsubstitutionoragraph.

d.StateNewton’smethodasitappliestotheproblem.

e.Chooseaseedvalue,.

f.HandcomputeshowingthesubstitutionofintoNewton’sformula.

g.Useacalculatortocomputesuccessive'suntilasolutionisreached.Listallofthosesolutions.(WorkNewton’sMethodaccurateto10digits.)

9.Demonstrateanappropriatetestofthesolution(s). (firstorsecondderivativetest)

10.Besuretofindalltheotherrequesteditemsrelatedtoyoursolution.

11.Completelydiscussyoursolutions. Thisrepresentstheconclusionoftheproject.

12.ThefirstdraftisdueTuesday,November20. Myintentionistoonlycorrectthe

mathematicalcontentofthesolutionsatthattime. Theformalwrite-upneednotbe

completedthen. Nonetheless,itshouldbeinprettygoodform,asyouwillnothave

muchtimetocompleteitafterIreturnthefirstdraft. ThefinaldraftisdueTuesday,

December 4.

DEADLINEREMINDERS:

Tuesday,Nov.20-ProjectFirstDraftDue

Tuesday,Nov 27 -ReturnFirstDraft

Tuesday,Dec. 4 – ProjectFinalDraftDue

Thursday,Dec. 6 –ThirdMidtermExam

Friday,Dec. 14 -FinalExamShannonNegaard