for Day
|
Reading
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Exercises
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January 23
|
Syllabus,
to the Student, 1 - Joy 2 - Communication
|
to the Student 2, 1.1
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January 25
|
3 - Definition
|
1, 3, 5, 11a, 12
|
January 28
|
4 - Theorem
|
1, 4, 5, 6
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January 30
|
5 - Proof
|
3, 5, 6, 8, 10, 13, 19
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February 1
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6 - Counterexample
|
1, 3, 4, 6, 8
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February 4
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7 - Boolean Algebra
|
2, (3-7), 12
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February 6
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8 - Lists, 9 - Factorial
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6.3, 7, 8, 11, 13; 7.4, 5, 8, 9
|
February 8
|
10 - Sets I
|
1, 3, 4, 5, 8
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February 11
|
11 - Quantifiers
|
1, 3, 4
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February 13
|
12 - Sets: Union, Intersection,
and Sizes, Discuss Indexed Sets
|
2, 3, 4, 5, 6, 7
|
February 15
|
12 - Sets: Differences and
Products
|
8, 9, 12, 15, 16
|
February 18
|
Chapters I and II
|
|
February 20
|
Chapters I and II
|
|
February 22
|
First exam
|
|
February 25
|
14 - Relations
|
1, 4, 5, 12
|
February 27
|
15 - Equivalence Relations
|
2, 3, 5, 6, 7, 10
|
March 1
|
16 - Partitions
|
7, 8, 9, 13
|
March 4
|
17 - Binomial Coefficients:
definition and calculating
|
2, 3, 4, 6,7
|
March 6
|
17 - Binomial Coefficients:
Pascal's Triangle and formula
|
8, 11, 12, 13, 15
|
March 8
|
20 - Contrapositive
|
1, 2, 3
|
March 11
|
20 - Contradiction (Reductio ad
Absurdum)
|
4, 6, 8, 10
|
March 13
|
22 - Induction, Strong Induction
|
3, 4, 7, 9
|
March 15
|
22 - Long Induction Examples
|
6, 14
|
March 25
|
Chapters III and IV
|
|
March 27
|
Chapters III and IV
|
|
March 29
|
Second Exam
|
|
April 1
|
24 - Functions introduction
|
1 (first two dots), 5
|
April 3
|
24 - Functions (inverse and rest)
|
2, 3, 4, 7, 13
|
April 5
|
25 - Pigeonhole Principle,
Cardinality
|
(2 or 3), 10
|
April 8
|
26 - Composition
|
1, 3, 5, 6. 10. 11
|
April 10
|
27 - Permutations
|
1 (not d), 3, 5, 6, 8, 9
|
April 12
|
28 - Transpositions
|
1d, 7, 10, 11, 16
|
April 15
|
35 - Dividing
|
1-4
|
April 17
|
36 - Euclidean Algorithm |
1, 5, 6
|
April 19
|
36 - How fast and rest |
2, 8, 11, 12, 14, 15
|
April 22
|
37 - Modular Addition, Multiplication
and Subtraction |
1 a-m, 2, 4, 5
|
April 24
|
37 - Modular Division |
1n-q, 12, 13
|
April 26
|
39 - Fundamental Theorem of
Arithmetic |
1, 3, 9, 10
|
April 29
|
39 - Infinitely Many Primes and
onward |
8, 13, 14
|
May 1
|
overflow space / more Chapter VII
|
|
May 3
|
Chapter VII
|
|
May 6
|
Chapters I - V, VII
|
self-tests
|
May 13
|
Chapters I - V, VII
|
|