Mar 30 |
Propositional Logic [html, pdf] |
1.1 |
Apr 01 |
Equivalence and Circuits [html, pdf] |
1.1-1.2 |
Apr 03 |
Equivalence and Proofs [html, pdf] |
11.1-11.3 |
Apr 06 |
Boolean Algebra [html, pdf] |
11.1-11.3 |
Apr 08 |
Canonical Forms and Predicate Logic [html, pdf] |
1.3-1.4 |
Apr 10 |
Predicate Logic [html, pdf] |
1.5-1.7 |
Apr 13 |
Inference Rules and Proofs for Propositional Logic [html, pdf] |
1.5-1.7 |
Apr 15 |
Inference Rules and Proofs for Predicate Logic [html, pdf] |
1.5-1.7 |
Apr 17 |
Proof Strategies [html, pdf] |
1.5-1.7 |
Apr 20 |
Set Theory [html, pdf] |
2.1-2.3 |
Apr 22 |
Modular Arithmetic [html, pdf] |
3.4-3.6 |
Apr 24 |
Modular Arithmetic and Applications [html, pdf] |
3.4-3.6 |
Apr 27 |
Primes and GCD [html, pdf] |
3.5-3.7 |
Apr 29 |
Euclidean Algorithm and Modular Equations [html, pdf] |
3.5-3.7 |
May 01 |
Modular Exponentiation and Induction [html, pdf] |
3.7, 4.1 |
May 04 |
Induction [html, pdf] |
4.1 |
May 06 |
Strong Induction [html, pdf] |
4.2 |
May 08 |
Recursively Defined Functions and Sets [html, pdf] |
4.3 |
May 11 |
Structural Induction [html, pdf] |
4.3 |
May 13 |
Regular Expressions [html, pdf] |
pp. 817-819 |
May 15 |
Context-Free Grammars [html, pdf] |
pp. 790-793 |
May 18 |
Relations and Directed Graphs [html, pdf] |
8.1, pp. 541-548 |
May 20 |
Finite State Machines (FSMs) [html, pdf] |
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May 22 |
FSM Minimization and NFAs [html, pdf] |
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May 25 |
Memorial Day (no class) |
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May 27 |
Relating NFAs, DFAs, and Regular Expressions [html, pdf] |
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May 29 |
Limitations of DFA, NFA, RegExp [html, pdf] |
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Jun 01 |
Cardinality and Uncomputability [html, pdf] |
12.5, p.177 |
Jun 03 |
Undecidability of the Halting Problem [html, pdf] |
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Jun 05 |
Final Assignment (no class) |
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