for Day
|
Reading
|
Presentations
|
August 28
|
Syllabus,
to the Student, 1 - Joy 2 - Communication
|
(to the Student 2, 1.1)
|
August 30
|
3 - Definition
|
1, 7, 12 |
September 1
|
4 - Theorem
|
1, 2, 4 |
September 6
|
5 - Proof
|
3, 5, 9
|
September 8
|
6 - Counterexample
|
3, 5, 6
|
September 11
|
7 - Boolean Algebra
|
2, (one part per person),7
|
September 13
|
8 - Lists, 9 - Factorial
|
8.7, 13, 9.9, 10
|
September 15
|
10 - Sets I
|
1, 5, 6
|
September 18
|
11 - Quantifiers
|
1, 3, 4
|
September 20
|
12 - Sets: Union,
Intersection, and Sizes, Discuss Indexed Sets
|
3, 9
|
September 22
|
12 - Sets: Differences
and Products
|
6, 12, 15
|
September 25
|
Chapters I and II
|
|
September 27
|
Chapters I and II
|
|
September 29
|
First exam
|
|
October 2
|
14 - Relations
|
1, 4, 8
|
October 4
|
15 - Equivalence Relations
|
5, 7, 8
|
October 6
|
16 - Partitions
|
7, 9, 12
|
October 11
|
17 - Binomial
Coefficients: definition and calculating
|
4, 6, 16
|
October 16
|
17 - Binomial
Coefficients: Pascal's Triangle and formula
|
8, 11, 19
|
October 18
|
20 - Contrapositive
|
1, 2, 3
|
October 20
|
20 -
Contradiction (Reductio ad Absurdum)
|
6, 8, 10
|
October 23
|
22 - Induction, Strong
Induction
|
4 (one part per person), 10
|
October 25
|
22 - Long Induction Examples
|
6, 14
|
October 27
|
Chapters III and IV
|
|
October 30
|
Chapters III and IV
|
|
November 1
|
Second Exam
|
|
| November 3 |
24 - Functions introduction
|
1 (parts (1) and (2)), 6
|
November 6
|
24 - Functions (inverse and
rest)
|
7, 10, 13
|
November 8
|
25 - Pigeonhole Principle,
Cardinality
|
1, 2 and 3, 10
|
November 10
|
26 -
Composition
|
5, 6, 11
|
November 13
|
27 - Permutations
|
3, 5, 6
|
November 15
|
27 - Transpositions
|
1, 7, 11
|
November 17
|
35 - Dividing
|
2, 3, 7
|
November 20
|
36 - Euclidean Algorithm |
1, 5, 6
|
November 27
|
36 - How fast and rest |
2, 12, 16
|
November 29
|
37 - Modular Addition,
Multiplication and Subtraction |
1 a-m, 4, 9
|
December 1
|
37 - Modular Division |
1n-q, 12, 13
|
December 4
|
39 - Fundamental Theorem of
Arithmetic |
3, 9, 10
|
December 6
|
39 - Infinitely Many Primes
and onward |
8, 13, 14
|
December 8
|
Chapter VII
|
|
December 11
|
Chapters I - V, VII |
|
December 15
|
Chapters I - V, VII
|
|