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Aug 28 |
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Set. From numbers to sets. 1.1
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Aug 30 |
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Python expressions (in lab). 1.(2&3) |
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Sept 4 |
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Python functions; denoting sets. 1.(3&4)
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Sept 6 |
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Set operations; visual verification. 1.(5&6)
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Sept 9 |
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Various set topics; powerset. 1.(7&8)
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Sept 11 |
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Sequence. Sequences and lists. 2.1
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Sept 16 |
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Functions on lists. 2.3
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Sept 18 |
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More functions on lists (sorting). 2.3
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Sept 20 |
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Arrays, vectors, and intervals. 2.4
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Sept 27 |
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Proposition. Introduction; logical equivalence. 3.(1&2)
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Sept 30 |
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Conditional propositions. 3.3
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Oct 4 |
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Predicates and quantification. 3.(5&6)
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Oct 7 |
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Proof. Subset proofs. 4.1
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Oct 9 |
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Set equality and set emptiness proofs. 4.(2&3)
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Oct 11 |
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Conditional proofs; number proofs. 4.(4&5)
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Oct 14 |
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Powerset proofs. 4.7
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Oct 25 |
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Relation. Definition, composition, image, etc. 5.(1&2)
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Oct 28 |
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Properties of relations, part 1. 5.3
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Oct 30 |
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Properties of relations, part 2. 5.3 |
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Nov 4 |
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Partial and total orders. 5.5
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Nov 6 |
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Function. Definition. 6.1
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Nov 9 |
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Images and inverse images. 6.2
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Nov 11 |
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Function properties and composition. 6.(3&4)
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Nov 13 |
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Filter, map, reduce, pipe. 6.5
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Nov 18 |
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Countability. 6.7
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Nov 25 |
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Self reference. Recursively defined sets and strucutural induction. 7.(1&2) |
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Dec 2 |
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Mathematical induction. 7.3 |
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Dec 6 |
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Loop invariants. 7.6. |
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Dec 9 |
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A language processor. 7.7 |
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Dec 11 |
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The huffman encoding. 7.8 |
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