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