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Aug 30 |
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Set operations; visual verification. 1.(3-5)
Slides |
Pg 12: 1.3.(11-14, 16)
Pg 16: 1.4.(1-6, 19)
Pg 20: 1.5.(8-11)
Read 1.6-9
Optional: Video for section 1.6
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Sept 4 |
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Intro to ML; cardinality and Cartesian products. 1.(6-9)
Slides |
Pg 26: 1.6.(1-5)
Pg 32: 1.8.(1, 4, 5)
Note that the ML problems should be submitted on paper with the rest of the assignment.
Skim 1.(10&11)
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Sept 6 |
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Finishing Cartesian products; making things in ML. 1.(10-11)
Code from class |
Pg 36: 1.9.(3, 4, 8, 9, 10, 13, 15)
Pg 40: 1.10.(1-4)
Skim 1.(11&12)
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Sept 9 |
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Functions in ML. 1.(11-13)
Code from class |
Pg 48: 1.11.(4, 6, 8, 10)
Pg 50-51: 1.12.(3, 5, 8)
Read 2.1
Skim 2.2
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Sept 11 |
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List. Introduction to lists. 2.(1 & 2)
Code from class |
Pg 70: 2.1.(2-4, 7)
Pg 74: 2.2.(2, 3, 8, 9)
Skim 2.3
Read 2.4
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Sept 13 |
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More about lists; powersets. 2.(3 & 4)
Code from class |
Pg 74: 2.2.(11, 13, 15)
Pg 82: 2.4.(8-12, 14 & 15)
Read carefully 2.5
Skim 2.6
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Sept 16 |
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A language processor. 2.(5 & 6)
Code from class |
Pg 91: 2.B
Read carefully 3.(1&2)
Read 3.(3 & 4)
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Sept 18 |
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Proposition. Propositional forms; boolean values; logical equivalence. 3.(1-4)
Slide
Code from class |
Pg 102: 3.3.(5 & 6)
Pg 105: 3.4.(2, 4, 8-12)
Read 3.(5-7)
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Sept 20 |
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Conditionals. 3.(5-7)
Slides
Code from class |
Pg 108: Ex 3.5.(1 & 2)
Pg 115: Ex 3.7.(1 & 2, 7-9, 12 & 13)
Read 3.(8 & 9)
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Sept 23 |
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Arguments. 3.(8 & 9)
Slides |
Pg 119: 3.8.(3 & 5)
Pg 122: 3.9.(3-7)
Read carefully 3.(10 & 11)
Skim 3.(12 & 13)
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Sept 25 |
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Predicates; quantification. 3.(10-13)
Code from class |
Pg 133: 3.12.(1 & 2)
Pg 135: 3.13.(4 & 5)
Read 3.14
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Sept 27 |
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Quantification and arguments. 3.14
Slides |
Pg 139: 3.14.(6-9)
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Oct 7 |
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Set equality proofs; set emptiness proofs. 4.(3 & 4) |
Pg 160: 4.3.(3, 14, 15, 18).
Pg 161: 4.4.(5, 6)
Read 4.(5-8)
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Oct 9 |
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Conditional proofs. 4.(5-8) |
Pg 162: 4.5.(1, 4, 5)
Pg 164: 4.6.(2, 5)
Pg 165
: 4.7.(1, 6)
Review 2.4, especially Ex 2.
4.15
Skim 4.9
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Oct 11 |
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Powersets. 4.9
Slides |
Pg 174: 4.9.(1, 3, 4, 6)
Skim 4.(10 & 11)
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Oct 14 |
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From theorems to algorithms. 4.(10 & 11)
Code from class |
Pg 177: 4.10.(3, 4, 6)
Read carefully 5.1
Read 5.(2 & 3)
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Oct 18 |
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Properties of relations. 5.4 |
Pg 208: 5.4.(3-5, 22, 24, 25, 26). Due Oct 25
Read 5.5
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Oct 23 |
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Work more on properties of relations |
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Oct 25 |
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Equivalence relations 5.5 |
Pg 212: 5.5.(5, 7, 9, 10)
Read 5.(6 & 7)
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Oct 28 |
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Transitive closure. 5.(6 & 7)
Code from class |
Pg 217: 5.6.(1,3)
Pg 222:5.7.(3, 4, 5)
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Nov 6 |
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Structural induction. 6.4 |
Pg 268: 6.4.(3, 4, 6, 7)
Skim 6.(5 & 6)
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Nov 8 |
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Mathematical induction. 6.(5 & 6) |
Pg 273: 6.5.2&4
Pg 278: 6.6. (2 & 3)
Read 6.9 carefully
Skim 6.10
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Nov 11 |
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Loop invariants. 6.(9 & 10) |
Pg 306: 6.10.(2-5). Due 11/15
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Nov 13 |
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More on loop invariants. 6.(10-11)
Code from class |
Read 7 intro and 7.1 carefully
Read 7.2
Skim 7.3
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Nov 18 |
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Images and inverse images. 7.(4 & 5) |
Pg 342: 7.4.(2, 5, 8, 9, 10)
Read 7.(6-8)
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Nov 20 |
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Function properties; inverse functions; composition. 7.(5-8) |
Pg 346: 7.6.(2, 3, 6)
Pg 351: 7.8.(1, 5, 6)
Skim 7.9
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Nov 22 |
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Cardinality. 7.9
Slides |
Pg 359: 7.9.(1 & 2)
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Nov 25 |
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No-credit quiz. Countability. 7.15
Slides |
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Dec 9 |
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Partial order relations, posets, and topological sorts. 5.(8 & 9)
Slides |
Pg 226: 5.8.(1-5)
Pg 231 5.9.(1 & 8)
Skim 6.12
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