CS 3233 Discrete Mathematical Structures
Pictures
- Wednesday 8/25/04: 
  1-proposition, 
  1-propositionEx, 
  1-logicalOps, 
  1-TTneg_and, 
  1-TTor_xor, 
  1-implication, 
  1-TTimpl, 
  1-TTbicond, 
  1-precRules, 
  1-english2logic, 
  1-contrapos, 
  1-womenX, 
  1-tautcontrad, 
  1-tautcontradEx, 
 - Monday 8/30/04: 
  Table of equivalence laws
 
 - Wednesday 9/1/04: 
  3-typesofproofs, 
  3-proofnotations, 
  3-directproof, 
  3-indirectproof, 
  3-proofbycontradiction, 
  3-sqrt2irrational, 
  3-proofbycontradiction2, 
  3-proofbycontradiction2ex, 
  3-proofbycases, 
  3-proofbycasesEx, 
  3-proofofequivalence, 
 - Wednesday 9/8/04: 
  4-forallProofs, 
  4-forallProofs2, 
  4-existenceProofs, 
  4-constructiveProof, 
  4-nonconstructiveProof, 
  4-disprove, 
  4-counterExample, 
  4-sets, 
  4-subset, 
  4-powerset, 
  4-cardinalityofpowerset, 
  4-cardinalityofpowerset2, 
  4-cartesianProduct, 
  4-setOperations, 
  4-setOperations2, 
  4-deMorganForSets, 
 - Monday 9/13/04: 
  5-homeworksdue, 
  5-functions, 
  5-functionsEx, 
  5-functionsEx2, 
  5-onetooneAndOnto, 
  5-onetooneAndOntoEx, 
  5-onetooneAndOntoEx2, 
  5-onetooneAndOntoEx3, 
  5-inverse, 
  5-composition, 
  5-floorCeiling, 
  5-floorCeilingEx, 
  5-algorithm, 
  5-algorithmDescription, 
  5-maxProblem, 
  5-maxAlgo, 
 - Wednesday 9/15/04: 
  6-describeAlgo, 
  6-computeMax, 
  6-bestCaseworstCase, 
  6-asymptoticRuntime, 
  6-bigOh, 
  6-bigOhEx1, 
  6-bigOhEx2, 
  6-bigOhEx3, 
  6-bigOhEx4, 
  6-bigOhEx5, 
  6-insertionSort, 
  6-insertionSort2, 
  6-insertionSortRuntime, 
  6-binSearch, 
  6-binSearchRuntime, 
 - Monday 9/20/04: 
  7-bigOhOmegaTheta, 
  7-bigOhOmegaThetaEx, 
  7-codesnippets1, 
  7-codesnippets2, 
  7-codesnippets3, 
  7-codesnippets4, 
  7-divides, 
  7-divides2, 
  7-divmod, 
  7-congruent, 
  7-congruentEx, 
  7-congruentEx2, 
  7-congruentEx3, 
  7-power, 
  7-power2, 
  7-powerAlgo, 
  7-powerRuntime, 
  7-prime, 
  7-primeFactors, 
  7-101prime, 
 - Wednesday 9/22/04: 
  8-gcd, 
  8-gcdEx, 
  8-computeGcd, 
  8-EuclideanAlgorithm, 
  8-computeGcdEx, 
  8-lemmaProof, 
  8-lemmaProof2, 
  8-lemmaProof3, 
  8-cryptology, 
  8-publicKey, 
  8-RSA, 
  8-RSA2, 
  8-RSAEx, 
  8-RSAEx2, 
 - Monday 9/27/04: 
  9-Zn, 
  9-RSA, 
  9-RSA, 
  9-RSA2, 
  9-RSATheorem, 
  9-RSATheorem2, 
  9-FermatsTheorem, 
  9-Sequence, 
  9-geometric, 
  9-arithmetic, 
  9-indexSubstitution, 
  9-geometricSeries, 
  9-geometricSeries2, 
 - Wednesday 9/29/04: 
  10-induction1, 
  10-induction2, 
  10-example1a, 
  10-example1b, 
  10-example1c, 
  10-example2, 
  10-example2b, 
  10-example3, 
  10-example3b, 
  10-example4, 
  10-example4b, 
  10-example4c, 
  10-stronginduction, 
  10-fibonacciEx, 
 - Monday 10/4/04: 
  11-composition, 
  11-onto, 
  11-onetooneAndInverse, 
  11-onetooneAgain, 
  11-ontoAgain, 
  11-disproveTheorem, 
  11-Cartesianproduct, 
  11-powerset, 
  11-setExample, 
  11-thetaExample, 
  11-bigOhExample, 
  11-OmegaExample, 
 - Monday 10/11/04: 
  12-sumEvenIntegers, 
  12-sumEvenIntegers2, 
  12-fibonacci, 
  12-fibonacci2, 
  12-strongInduction, 
  12-postage, 
  12-postage2, 
 - Wednesday 10/13/04: 
  13-matrixmult, 
  13-wrongProof, 
  13-wrongProof2, 
  13-wrongProof3, 
  13-recursiveDefs, 
  13-fibAndPow, 
  13-pow, 
  13-pow2, 
  13-faktorialAndSum, 
  13-Hanoi, 
  13-Hanoi2, 
  13-Hanoi3, 
  13-HanoiRecurrence, 
  13-HanoiRecurrence2, 
  13-solveRecurrence, 
  13-solveRecurrence2, 
  13-proveRecurrence, 
  13-recDefStructures, 
  13-wellformedformulae, 
 - Monday 10/18/04: 
  14-chocolateBar, 
  14-doubleSummations, 
  14-countingIntro, 
  14-studentsExample, 
  14-unionRules, 
  14-additionPrinciple, 
  14-multiplicationPrinciple, 
  14-books, 
  14-3letterwords, 
  14-3letterwords2, 
  14-solveCountingProblems, 
  14-bitStrings, 
  14-functions, 
  14-onetooneFunctions, 
  14-pigeonhole, 
  14-englishWords, 
 - Wednesday 10/20/04: 
  15-pigeonhole, 
  15-pigeonholeEx, 
  15-numbers90, 
  15-numbers90b, 
  15-permutations, 
  15-combinations, 
  15-rankings, 
  15-cards, 
  15-committee, 
  15-bitsequences, 
  15-permutationsWrep, 
  15-combinationsWrep, 
  15-countingOverview, 
  15-binomialThm, 
  15-pascalstriangle, 
 - Monday 10/25/04: 
  16-binomialTheorem, 
  16-combinatorialProof, 
  16-pascalsTriangle, 
  16-pascalsIdentity, 
  16-doubleCounting, 
  16-applicationsBinomialTheorem, 
  16-sampleSpace, 
  16-probability, 
  16-equallyLikely, 
  16-pokerhand, 
  16-pokerhand2, 
  16-pokerhand3, 
  16-rules, 
 - Wednesday 10/27/04: 
  17-rollingdie, 
  17-tossCoinNtimes, 
  17-randomvariable, 
  17-randomvariableEx, 
  17-expectedValue, 
  17-expectedValueEx, 
  17-sumofdice, 
  17-raffle, 
  17-raffle2, 
  17-raffle3, 
 - Monday 11/1/04: 
  18-relations, 
  18-relationsEx, 
  18-midterm2, 
  18-functionsNrelations, 
  18-functionsNrelationsEx, 
  18-functionsNrelationsEx2, 
  18-numOfFunctions, 
  18-numOfRelations, 
  18-properties, 
  18-propertiesEx, 
  18-propertiesEx2, 
  18-propertiesEx3, 
  18-numOfReflexiveRelations, 
 - Wednesday 11/3/04: 
  19-database, 
  19-databaseEx, 
  19-operators, 
  19-selectEx, 
  19-projectEx, 
  19-joinEx, 
  19-closures, 
  19-reflexiveClosure, 
  19-symmetricClosure, 
  19-antisymmetric, 
  19-transitiveClosure, 
  19-equivRelations, 
  19-equivRelations2, 
  19-equivRelations3, 
  19-equivClasses, 
 - Monday 11/8/04: 
  20-recursiveDefs, 
  20-recursiveDefs2, 
  20-counting, 
  20-numOfBitstrings, 
  20-numNumberPlates, 
  20-binomialTheorem, 
  20-pigeonhole, 
  20-randomVariable, 
  20-expectedValue, 
  20-relation, 
 - Monday 11/15/04: 
  21-randomVariable, 
  21-induction, 
  21-inductionVariant1, 
  21-inductionVariant2, 
  21-inductionVariant3, 
  21-wrongProof, 
 - Wednesday 11/17/04: 
  22-graphs, 
  22-directedgraph, 
  22-directedgraphEx, 
  22-graphVariants, 
  22-numberOfEdges, 
  22-numberOfEdges2, 
  22-adjacent, 
  22-degree, 
  22-handshakingLemma, 
  22-adjacencyLists, 
  22-adjacencyLists, 
 - Wednesday 11/24/04: 
  23-representingGraphs, 
  23-bipartiteGraphs, 
  23-paths, 
  23-connectivity, 
  23-connectivityEx, 
  23-connectedComponents, 
  23-trees, 
  23-treeInduction, 
  23-treeInduction2, 
 - Monday 11/29/04: 
  24-rootedTree, 
  24-regularTree, 
  24-regularTreeEx, 
  24-leavesInduction, 
  24-internalVerticesNLeaves, 
  24-leavesInduction2, 
  24-in-pre-postorderTraversals, 
  24-infixNotation, 
  24-postfixNotation, 
  24-depthfirsttraversal, 
  24-depthfirsttraversalEx, 
 - Wednesday 12/1/04:
  25-k33,
  25-degreesNadjlists,
  25-equivRelation,
  25-throwFairCoin,
  25-expectedValue,
  25-heightOfTree,
  25-heightOfTree2,
  25-recursiveDef,
  25-proveCorrectness,
  25-proveCorrectness2,
  25-bitstrings,
 
Last modified by Carola Wenk,                                                                
  carola @ cs.utsa.edu ,