Discrete Mathematics
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Textbook: None. All lecture notes will be posted right here. For extra reading I recommend An Introduction to Discrete Mathematics by Roman and Concrete Mathematics by Graham-Knuth-Patashnik.
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| Item | Date | Information |
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Homework 1 Solutions |
Wed, Sept 10 |
Course Notes Steiner's Problem Introduction to Recurrence Introduction to Induction Sums of p-th powers |
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Homework 2 Solutions |
Mon, Sept 22 |
Course Notes Language of Sets Language of Logical Statements Language of Functions |
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Exam 1 Solutions |
Wed, Sept 24 |
Total: 30 Average: 26.7 Quartiles: 25, 28, 29 St. Deviation: 3.6 |
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Homework 3 Solutions |
Wed, Oct 8 |
Course Notes Cartesian Product and Graphs Boolean Functions Disjunctive Normal Form Boolean Algebras |
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Homework 4 Solutions |
Mon, Oct 27 |
Course Notes Subsets = Binary Strings "n choose k" The Binomial Theorem Pascal's Triangle |
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Exam 2 Solutions |
Wed, Oct 29 |
Total: 40 Average: 32.3 Quartiles: 27, 35, 38 St. Deviation: 7 |
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Homework 5 Solutions |
Wed, Nov 19 |
Course Notes Coin Flipping Dice Rolling Kolmogorov's Axioms for Probability Urn Problems Expected Value of a Random Variable |
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Homework 6 Solutions |
Wed, Dec 3 |
Course Notes Linearity of Expectation Variance of a Random Variable Bernoulli and Binomial Random Variables De Moivre - Laplace Theorem The Normal Distribution |