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DatesLecture NumberLecture TopicReadings from BTReadings from NotesInstructorHomework Exams
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1June-18Monday1Propositional Logic, Propositional Equivalences, De Morgan's Laws, Truth Tables, First-Order LogicNote 1Sinho Chewi
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June-19Tuesday2Proof Methods (Direct, Contraposition/Contradiction, Cases), Pigeonhole PrincipleNote 2Sinho Chewi
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June-20Wednesday 3Induction, Strengthening the Inductive Hypothesis, Strong InductionNote 3Sinho ChewiHW 0 due
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June-21Thursday4Well Ordering Principle, Graphs (Definitions, Eulerian Tours)Note 5Sinho Chewi
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June-22FridayHW 1 due
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2June-25Monday5Graphs (Trees, Planar Graphs, Planar Duality, Euler's Formula)Note 5Sinho Chewi
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June-26Tuesday6Graphs (Planarity, Coloring, Hypercubes), Modular Arithmetic (Multiplicative Inverses)Notes 5-7Sinho Chewi
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June-27Wednesday 7Bijections, Modular Arithmetic (Multiplicative Inverses, Euclid's Algorithm)Notes 6-7Sinho Chewi
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June-28Thursday8Modular Arithmetic (Euler's Totient, Fermat's Little Theorem), One-Time Pad, RSA, Digital SignaturesNote 7Sinho Chewi
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June-29FridayHW 2 due
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3July-2Monday9Modular Arithmetic (Chinese Remainder Theorem), Polynomials (Roots, Lagrange Interpolation)Notes 6, 8Sinho Chewi
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July-3Tuesday10Secret Sharing, Error Correction (Reed-Solomon Codes, Hamming Distance, Berlekamp-Welch)Notes 8-9Sinho Chewi
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July-4Wednesday Holiday
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July-5Thursday11Countability (Diagonalization, Cantor-Schroder-Bernstein Theorem)Note 10Sinho Chewi
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July-6FridayHW 3 due
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July-7SaturdayMidterm I Review
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4July-9Monday12Computability (Halting problem, Reductions, Godel's First Incompleteness theorem)Note 11Vrettos MoulosMidterm I (Lecture 1-10)
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July-10Tuesday13Counting, Combinatorial Proofs1.6Note 12Vrettos Moulos
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July-11Wednesday 14Probability Space, The Birthday Paradox, Inclusion-Exclusion Principle1.1, 1.2Notes 13Vrettos Moulos
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July-12Thursday15Conditional Probability, Total Probability Theorem1.3, 1.4Note 14Vrettos Moulos
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July-13FridayHW 4 due
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5July-16Monday16Bayes' Rule, Independence1.4, 1.5, 1.7Note 14Vrettos Moulos
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July-17Tuesday17Random Variables, Probability Mass Function, Bernoulli, Binomial, Geometric, Poisson RVs2.1, 2.2Notes 16,17,19Vrettos Moulos
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July-18Wednesday 18Expectation, Joint PMF, The Expectation Argument2.3, 2.4, 2.5Notes 16,17,19Vrettos Moulos
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July-19Thursday19Variance, Conditional PMF, Independent RVs2.4, 2.6, 2.7Notes 16,17,19Vrettos Moulos
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July-20FridayHW 5 due
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6July-23Monday20Covariance, Tail Sum Formula4.2Note 19Vrettos Moulos
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July-24Tuesday21Memoryless Property, Conditional Expecation, The Coupon Collector's Problem2.6, 2.8Note 19Vrettos Moulos
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July-25Wednesday 22Continuous RV, Probability Density Function, Cumulative Distribution Function, Uniform, Exponential RVs3.1, 3.2Note 20Vrettos Moulos
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July-26Thursday23Joint PDF, Conditional PDF, Normal RV3.3, 3.4, 3.5, 3.6Note 20Vrettos Moulos
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July-27FridayHW 6 due
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July-28SaturdayMidterm II Review
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7July-30Monday24Central Limit Thoerem, Markov, Chebyshev Inequalities, Confidence Intervals, Law of Large Numbers5.1, 5.2, 5.4Note 18Vrettos MoulosMidterm II (Lecture 1-21)
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July-31Tuesday25Markov Chain Definition, Probability Of A Path, n-Step Transition Probabilities7.1Note 24Vrettos Moulos
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August-1Wednesday 26Hitting Times, Probability of A Before B7.4Note 24Vrettos Moulos
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August-2Thursday27Classification Of States, Law of Large Numbers for Markov Chains, Markov Chain Convergence Theorem7.2, 7.3Note 24Vrettos Moulos
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August-3FridayHW 7 due
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8August-6Monday28Final Review (Discrete Mathematics)Sinho Chewi
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August-7Tuesday29Final Review (Probability Theory)Sinho ChewiHW 8 due
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August-8Wednesday 30Stable MarriageNote 4Sinho Chewi
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August-9Thursday31Hashing, Load BalancingNote 15Sinho Chewi
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August-10FridayFinal Exam (Lecture 1-29)
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