for Day
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Reading
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Exercises
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August 29
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Syllabus,
to the Student, 1 - Joy
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to the Student 2, 1.1
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August 31
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2 - Definition
|
1, 3, 5, 9a, 10
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September 2
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3 - Theorem
|
1, 3, 4, 5
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September 7
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4 - Proof
|
3, 5, 6, 8, 10, 13, 15
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September 9
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5 - Counterexample
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1, 3, 4, 6, 8
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September 12
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6 - Boolean Algebra
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2, (3-7), 12
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September 14
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7 - Lists, 8 - Factorial
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6.3, 7, 8, 11, 13; 7.4, 5, 8, 9
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September 16
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9 - Sets
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1, 3, 4, 5, 8
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September 19
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10 - Quantifiers
|
1, 3, 4
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September 21
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11 - Sets: Union,
Intersection, and Sizes, Discuss Indexed Sets
|
2, 3, 4, 5, 6, 7
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September 23
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11 - Sets: Differences and
Products
|
8, 9, 12, 15, 16
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September 26
|
Chapters I and II
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|
September 28
|
Chapters I and II
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|
September 30
|
First exam
|
|
October 3
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13 - Relations
|
1, 4, 5, 12
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October 5
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14 - Equivalence Relations
|
2, 3, 5, 6, 7, 10
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October 7
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15 - Partitions
|
7, 8, 9, 13
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October 12
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16 - Binomial
Coefficients: definition and calculating
|
2, 3, 4, 6,7
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October 14
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16 - Binomial
Coefficients: Pascal's Triangle and formula
|
8, 11, 12, 13, 15
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October 17
|
19 - Contrapositive
|
1, 2, 3
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October 19
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19 - Contradiction (Reductio ad
Absurdum)
|
4, 6, 8, 10
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October 21
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21 - Induction, Strong Induction
|
3, 4, 7, 9
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October 24
|
21 - Long Induction Examples
|
6, 14
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October 26
|
Chapters III and IV
|
|
October 28
|
Chapters III and IV
|
|
October 31
|
Second Exam
|
|
November 2
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23 - Functions introduction
|
1 (first two dots), 5
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November 4
|
23 - Functions (inverse and rest)
|
2, 3, 4, 7, 13
|
November 7
|
24 - Pigeonhole Principle,
Cardinality
|
(2 or 3), 10
|
November 9
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25 - Composition
|
1, 3, 5, 6. 10. 11
|
November 11
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26 - Permutations
|
1 (not d), 3, 5, 6, 8, 9
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November 14
|
26 - Transpositions
|
1d, 7, 10, 11, 16
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November 16
|
34 - Dividing
|
1-4
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November 18
|
35 - Euclidean Algorithm |
1, 5, 6
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November 21
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35 - How fast and rest |
2, 8, 11, 12, 14, 15
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November 28
|
36 - Modular Addition,
Multiplication and Subtraction |
1 a-m, 2, 4, 5
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November 30
|
36 - Modular Division |
1n-q, 12, 13
|
December 2
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38 - Fundamental Theorem of
Arithmetic |
1, 3, 9, 10
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December 5
|
38 - Infinitely Many Primes and
onward |
8, 13, 14
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December 7
|
overflow space / more Chapter VII
|
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December 9
|
Chapter VII
|
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December 12
|
Chapters I - V, VII
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self-tests
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December 14
|
Chapters I - V, VII
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