Filter By
Filter Reset
Semester
Class Notes (1,044,472)
US (410,318)
CMU (192)

Class Notes at Carnegie Mellon University

Exam Study Guides for CARNEGIE-MELLON Courses

Covers all exam topics.

21127 Lecture 17: rec17

Concepts of Math: Recitation 17 October 26, 2015 Midterm 2 Review Important: the quality of explanation matters more than quantity of problems solved. 1. Please see Midterm 2 Practice problems, posted on Irinas Blackboard ...

Mathematical Sciences
21127
Brendan Sullivan
21238 Lecture Notes - Lecture 1: Topological Vector Space, Free Module, Module Homomorphism

Math Studies Algebra II Prof. Clinton Conley Spring 2017 Contents 1 January 18, 2017 4 1.1 Logistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4. . . . . . . . . . 1.2 Modules . ....

Mathematical Sciences
21238
Clinton Conley
21127 Lecture Notes - Lecture 2: Quadratic Formula, Natural Number, Additive Identity

Lecture221127ConceptsofMath08.29.2012 Administrivia Homework1isposted!Checkitout!ItsduenextThursday,September6. A IpostedapageaboutusingLTX.Checkthatout,too!Itincludesatemplate.texleforHomework1. E OceHours:Mineareposted:M...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 4: Mathematical Game, Natural Number, Determinacy

Lecture421127ConceptsofMath09.05.2012 Administrivia EXCELTutoring:Workingroups,gethelpwithcoursematerialfromagrouptutor.Veryhelpful. SignupinCyertHallB5. WalkinTutoring:Tutoringfor21127willbeavailableonWednesdaynightsfrom8...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 5: Domino Tiling, Subset, Natural Number

Lecture521127ConceptsofMath09.07.2012 Administrivia Homework1willbereturnedonTuesday,inrecitation. Homework2hasbeenposted,andisduenextThursday,inrecitation. InductionWrapup Letssummarizesomeofourworkoninductivearguments,ex...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 6: Empty Set, Subset, Burh

Lecture621127ConceptsofMath09.10.2012 Administrivia Homework2isdueonThursday.PleasewriteyourAndrewIDonyourhomework!Itishowgradesare enteredintoCMG,sohelpusout.ThereisnowaplaceontheLaTeXtemplateforthis. Reminderabouttutorin...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 7: Die Tageszeitung

Lecture721127ConceptsofMath09.12.2012 PowerSets(continued) Anotherexample.UseA=f?;f1;?gg.Then P(A)=f?;f?g;ff1;?gg;f?;f1;?ggg Itistrue,inthisexample,that ?2A;f?gA;f?g2P(A);f?gP(A) WhatdoesP(N)looklike?Letswritedownsomeexamp...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 8: Mathematically Correct, Natural Number, Xsan

Lecture821127ConceptsofMath09.14.2012 SetsProofs Letsactuallywriteupsomerigorous,mathematicallycorrect,andwellwrittenproofs.AlloftheProposi tionscontainedhereareusefulfactsthatwecancitelateron,andwewouldexpectyoutobeableto...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 9: Mathematical Induction, Prut, Eni

Lecture921127ConceptsofMath09.17.2012 Administrivia Homework3isdueonThursday. DontusetheonlinesubmissiononCMG.PrintandhandtoTA. Dontcheat. SetsWrapup RussellsParadox BertrandRussellidentiedanissuewithsettheoryin1901.Hedene...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 10: Natural Number, Logical Connective, Burh

Lecture1021127ConceptsofMath09.19.2012 Administrivia Homework3isduetomorrow. ForProblem6,youdontneedtoprovethatadditioniscommutative.Thepointofthequestionistosee whetheryoucaninterpretthesetsappropriately.Theonlyalgebraici...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 11: European Route E6, Contraposition, Exclusive Economic Zone

Lecture1121127ConceptsofMath09.21.2012 BiconditionalStatementsandLogicalEquivalence Thephraseifandonlyifmeansexactlythat:ifandonlyif. PifQclearlymeansIfQthenP,i.e.Q)P. PonlyifQmeansItcannotbethecasethatPholdsandQfails.That...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 12: Contraposition, Logical Biconditional, Rational Number

Lecture1221127ConceptsofMath09.24.2012 ImplementingProofStrategies Hereareseveralmoreexamplesofgood,wellwrittenproofsthatproperlyimplementthestrategieswewent overonFriday. LinearDiophantineEquations Proposition.Thereisnoin...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 13: Universal Quantification, Logical Biconditional, Contraposition

Lecture1321127ConceptsofMath09.25.2012 SuggestionsandCommentsonProofWriting Alwaysdistinguishbetweenwhatwewanttoshowandwhatwecurrentlyknow.Keeptrackonthe sideofyourgoalandyourassumptions,andllinthegaps.Iliketothinkofthewha...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 14: Babe, Dirham, Natural Number

Lecture1421127ConceptsofMath10.01.2012 Administrivia Examswillbereturnedtomorrowinrecitation.Itislogisticallyinfeasibletoreturntheminlecture.Idont knowanythingaboutaveragesorgradesoranyotherstats. RegradePolicy:Afteryourec...

Mathematical Sciences
21127
Brendan Sullivan
21127 Lecture Notes - Lecture 15: Computer-Aided Technologies, Kaiaphas, Holda

Lecture1521127ConceptsofMath10.03.2012 GeneralInduction Examplefromhomework RecallProblem5fromHomework2:MoBrendans,MoProblems.ThatwasaGeneralInductionproblem! Claim:Withcurrencynotesofdenominaton3and7Brendans,wecandenitely...

Mathematical Sciences
21127
Brendan Sullivan

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit