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<title>Mathematics for Computer Science</title>
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<title>Numbers Sequence</title>
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<title>Syllabus</title>
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<title>Calendar</title>
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<title>Lecture Notes</title>
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<title>Logic</title>
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<title>Proofs</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l3_induction1.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.17E01FA7-378A-454B-94C7-0A020A1F6FFB.0.l3_induction1.pdf">
<title>Induction I</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l4_induction2.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.D9ABEE16-C516-455C-A02F-54D6B709A957.0.l4_induction2.pdf">
<title>Induction II</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l5_induction3.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.852250D7-312C-448F-8266-CD22697AA084.0.l5_induction3.pdf">
<title>Induction III</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l6_numtheory1.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.896FB080-6212-4A98-8D42-DAB11E6DD9B3.0.l6_numtheory1.pdf">
<title>Number Theory I</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l7_numtheory2.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.B97A7E82-5E5B-43D4-8FFE-EF43698FC7C7.0.l7_numtheory2.pdf">
<title>Number Theory II</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l8_graphs1.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.FF95BA8F-6457-4592-B473-349A5C1CA277.0.l8_graphs1.pdf">
<title>Graph Theory</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l9_graphs2.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.888E52CA-D401-4DDC-A378-5128EA7AC400.0.l9_graphs2.pdf">
<title>Graph Theory II</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l10_sums1.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.5B495CB6-5B6D-457E-99BF-E9F246C186CD.0.l10_sums1.pdf">
<title>Sums and Approximations</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l11_sums2.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.E106C12A-4B58-4A15-8B20-5F9110E0EB0E.0.l11_sums2.pdf">
<title>Sums, Approximations, and Asymptotics II</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l12_recur2.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.C788E231-F1B1-44AA-B3B9-2FDCE10F8CA6.0.l12_recur2.pdf">
<title>Recurrences</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l13_counting1.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.4B146D38-A52B-4B26-90AD-B0CC456FCE8F.0.l13_counting1.pdf">
<title>Counting I</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l14_counting2.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.1BD2BCA8-B958-4628-B472-8E7C3870C150.0.l14_counting2.pdf">
<title>Counting II</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l15_counting3.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.22005A39-5E6D-47C3-8E65-199E702E7B62.0.l15_counting3.pdf">
<title>Counting III</title>
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<item identifier="i_6-042JSpring-2005.LectureNotes.l16_generating.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.0E27983A-669E-4721-B3F5-980E0DD0C115.0.l16_generating.pdf">
<title>Generating Functions</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l17_prob_intro.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.E35C853F-4BF2-4606-960C-4D2E9E736DA1.0.l17_prob_intro.pdf">
<title>Introduction to Probability</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l18_prob_cond.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.6E1A898F-16B6-4822-BCD0-280BDDC317E7.0.l18_prob_cond.pdf">
<title>Conditional Probability</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l19_prob_indep.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.3FBEBCB0-97F5-47F7-B7BA-30E6DF16BA1B.0.l19_prob_indep.pdf">
<title>Independence</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l20_prob_randvar.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.155EEA64-8C6F-455F-AEE3-1C48137A9E62.0.l20_prob_randvar.pdf">
<title>Random Variables</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l21_prob_exp1.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.770F523C-4ED7-45BB-8535-004C353136F5.0.l21_prob_exp1.pdf">
<title>Expected Value I</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l22_prob_exp2.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.CDBC59AE-0C79-45B6-B660-3D42197F8E71.0.l22_prob_exp2.pdf">
<title>Expected Value II</title>
</item>
<item identifier="i_6-042JSpring-2005.LectureNotes.l23_prob_randwak.pdf" identifierref="r_NR.rdonlyres.Electrical-Engineering-and-Computer-Science.6-042JSpring-2005.D373EE97-6E66-4AC4-A18E-D31300D740A9.0.l23_prob_randwak.pdf">
<title>Random Walks</title>
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