"DMOI" refers to "Discrete Mathematics: An Open Introduction (version 4)" by Oscar Levin. "Number Theory" refers to "Number Theory toward Cryptography" by Mohamed Omar.
All quizzes are to be completed on Moodle, and are due by 1:30 pm the day of class.
Reading material
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Topic(s)
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Pre-class work
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Due date
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DMOI 0.1-0.2, 5.1-5.2
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Discrete structures, sets, functions
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DMOI 0.1-0.2, 5.1-5.2 quiz
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08/26/2025 at 1:30 pm
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DMOI 1.1-1.3
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Mathematical statements, propositional logic
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DMOI 1.1-1.3 quiz
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08/28/2025 at 1:30 pm
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DMOI 1.4-1.5
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Proofs
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DMOI 1.4-1.5 quiz
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09/02/2025 at 1:30 pm
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DMOI 4.5-4.6, Number theory 4
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Induction
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DMOI 4.5-4.6 quiz
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09/04/2025 at 1:30 pm
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Number theory chapter 1
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Divisibility and the Euclidean Algorithm
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Number theory 1 quiz
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09/09/2025 at 1:30 pm
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Number theory 2-3
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GCD, integer combinations, and linear diophantine equations
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Number theory 2-3 quiz
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09/11/2025 at 1:30 pm
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Number theory 5
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Prime numbers
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Number theory 5 quiz
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09/16/2025 at 1:30 pm
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Number theory 6
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Modular arithmetic
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Number theory 6 quiz
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09/18/2025 at 1:30 pm
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Number theory 7
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Solving linear congruences
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Number theory 7 quiz
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09/23/2025 at 1:30 pm
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Number theory 8
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Fermat's little theorem and Euler's theorem
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Number theory 8 quiz
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09/25/2025 at 1:30 pm
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Number theory 9
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RSA Encryption
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Number theory 9 quiz
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09/30/2025 at 1:30 pm
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DMOI 2.1-2.2
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Graph theory definitions, trees
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DMOI 2.1-2.2 quiz
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10/09/2025 at 1:30 pm
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DMOI 2.4
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Euler trails and circuits
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DMOI 2.4 quiz
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10/16/2025 at 1:30 pm
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DMOI 2.3
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Planar graphs
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DMOI 2.3 quiz
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10/21/2025 at 1:30 pm
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DMOI chapter 2.5
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Coloring
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DMOI 2.5 quiz
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10/23/2025 at 1:30 pm
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DMOI chapter 3.1
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Additive and multiplicative counting principles
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DMOI 3.1 quiz
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11/06/2025 at 1:30 pm
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DMOI 3.1-3.4
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Binomial coefficients, combining outcomes
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DMOI 3.1-3.4 quiz
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11/06/2025 at 1:30 pm
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DMOI 3.5
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Stars and bars
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Alternately, Stars and stripes (© Kiefer Crowley)
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DMOI 3.5 quiz
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11/11/2025 at 1:30 pm
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DMOI 3.6
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Combinatorial proofs
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DMOI 3.6 quiz
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11/13/2025 at 1:30 pm
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DMOI 4.1
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Sequences
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DMOI 4.1 quiz
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11/18/2025 at 1:30 pm
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DMOI 4.2-4.4
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Arithmetic and geometric sequences
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DMOI 4.2-4.4 quiz
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11/25/2025 at 1:30 pm
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DMOI chapter 4.4
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Solving recurrences
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DMOI 4.4 quiz
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11/27/2025 at 1:30 pm
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DMOI chapter 6.1 (optional)
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Generating functions day 1
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Generating functions day 1 pre-class worksheet (required)
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12/02/2025 at 1:30 pm
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DMOI chapter 5.1 (optional)
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Generating functions day 2
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Generating functions day 2 pre-class worksheet (required)
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12/04/2025 at 1:30 pm
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