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MATH 135 (334)
Mike Eden (7)
Lecture

Lecture 1 Notes Winter 2009 Lecture 1 notes

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Department
Mathematics
Course
MATH 135
Professor
Mike Eden
Semester
Fall

Description
MATH135Winter2009LectureINotesIntroductionTwoofthemainpurposesofMATH135aretoteachyouaboutproofwhatitmeanshowtoprovethingsetcandtoteachyouaboutprecisioninmathematicsWhatisaProofAproofisArigorousmathematicalargumentwhichunequivocallydemonstratesthetruthofagivenstatementInotherwordsinmathematicsaproofisasequenceofstepsstartingwithoneormorehypotheseswhichfollowlogicallyfromeachotherusingtheaxiomsofmathematicsleadingtothedesiredconclusionWhyProofWewanttoknowifastatementisalwaystrueMathematicsiscumulativeweuseoldresultstoprovenewresultsIfitturnedoutthatoneresultthatwethoughtwastrueactuallyfailedsometimestheresultsfollowingfromitcouldalsobefalseWhatkindsofprofessionsrelyonmathematicsEngi
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