for Day
|
Reading
|
Presentations
|
January 21
|
Syllabus,
to the Student, 1 - Joy 2 - Communication
|
(to the Student 2, 1.1)
|
January 23
|
3 - Definition
|
1, 7, 12 |
January 26
|
4 - Theorem
|
1, 2, 4 |
January 28
|
5 - Proof
|
3, 5, 9
|
January 30
|
6 - Counterexample
|
3, 5, 6
|
February 2
|
7 - Boolean Algebra
|
2, (one part per person),7
|
February 4
|
8 - Lists, 9 - Factorial. PS1
due
|
8.7, 13, 9.9, 10
|
February 6
|
10 - Sets I
|
1, 5, 6
|
February 9
|
11 - Quantifiers. Q1
|
1, 3, 4
|
February 11
|
12 - Sets: Union,
Intersection, and Sizes, Discuss Indexed Sets
|
3, 9
|
February 13
|
12 - Sets: Differences
and Products
|
6, 12, 15
|
February 16
|
Chapters I and II. PS2 due
|
|
February 18
|
Chapters I and II
|
|
February 20
|
First exam
|
|
February 23
|
14 - Relations
|
1, 4, 8
|
February 25
|
15 - Equivalence Relations
|
5, 7, 8
|
February 27
|
16 - Partitions
|
7, 9, 12
|
March 2
|
17 - Binomial
Coefficients: definition and calculating
|
4, 6, 16
|
March 4
|
17 - Binomial
Coefficients: Pascal's Triangle and formula
|
8, 11, 19
|
March 6
|
20 - Contrapositive. PS3 due
|
1, 2, 3
|
March 9
|
20 -
Contradiction (Reductio ad Absurdum)
|
6, 8, 10
|
March 11
|
22 - Induction, Strong
Induction. Q3
|
4 (one part per person), 10
|
March 13
|
22 - Long Induction Examples
|
6, 14
|
March 23
|
Chapters III and IV. PS4 due
24 March
|
|
March 25
|
Chapters III and IV
|
|
March 27
|
24 - Functions introduction
|
1 (parts (1) and (2)), 6 |
March 30
|
Second Exam |
|
April 1
|
24 - Functions (inverse and
rest)
|
7, 10, 13
|
April 3
|
25 - Pigeonhole Principle,
Cardinality
|
1, 2 and 3, 10
|
April 6
|
26 -
Composition
|
5, 6, 11
|
April 8
|
27 - Permutations
|
3, 5, 6
|
April 10
|
27 - Transpositions
|
1, 7, 11
|
April 13
|
35 -
Dividing. PS5 due
|
2, 3, 7
|
April 15
|
36 - Euclidean Algorithm |
1, 5, 6
|
April 20
|
36 - How fast and rest. Q5
|
2, 12, 16
|
April 24
|
37 - Modular Addition,
Multiplication and Subtraction |
1 a-m, 4, 9
|
April 27
|
37 - Modular Division |
1n-q, 12, 13
|
April 29
|
39 - Fundamental Theorem of
Arithmetic |
3, 9, 10
|
May 1
|
39 - Infinitely Many Primes
and onward |
8, 13, 14
|
May 4
|
Chapters I - V, VII. PS7 due
|
|
May 6
|
Chapters I - V, VII |
|
May 14
|
Chapters I - V, VII |
|