We will begin the split sections on the first day and finish them
on the second day. Yes, it will be awkward.
Presentation problems for split sections can happen either day,
but once done they will be taken. I recommend reading all of
the split section for the first day, and then having less reading
for the second day. E.g. for opening day, 20 January, read
1-3, and for 22 January only read 4. For one more example,
for 27 January, read 5-6 and for 29 January read 7. I trust
you can follow this pattern.
| for Day |
Reading |
Presentations |
| January 20 |
Syllabus,
to the Student, 1 - Joy 2 - Communication |
(to the Student 2, 1.1) |
| January 20/22 |
3 - Definition |
1, 7, 12 |
| January 22 |
4 - Theorem |
1, 2, 4 |
| January 27 |
5 - Proof |
3, 5, 9 |
| January 27/29 |
6 - Counterexample |
3, 5, 6 |
| January 29 |
7 - Boolean Algebra |
2, (one part per person),7 |
| February 3 |
8 - Lists, 9 - Factorial. PS1
due 4 Feb |
8.7, 13, 9.9, 10 |
| February 3/5 |
10 - Sets I |
1, 5, 6 |
| February 5 |
11 - Quantifiers. 12 -
Set: Union, Intersection, and Sizes |
11.1, 3, 4, 12.3, 9 |
| February 10 |
Q1. 12 - Discuss
indexed sets |
|
| February 10/12 |
12 - Sets: Differences
and Products |
6, 12, 15 |
| February 12 |
Chapters I and II. PS2 due 16
Feb |
|
| February 17 |
Chapters I and II |
|
| February 17/19 |
14 - Relations | 1, 4, 8 |
| February 19 |
First exam |
|
| February 26 |
15 - Equivalence Relations |
5, 7, 8 |
| February 26/M3 |
16 - Partitions |
7, 9, 12 |
| March 3 |
17 - Binomial
Coefficients: definition and calculating |
4, 6, 16 |
| March 5 |
17 - Binomial
Coefficients: Pascal's Triangle and formula. PS3 due 6
March |
8, 11, 19 |
| March 5/10 |
20 - Contrapositive |
1, 2, 3 |
| March 10 |
20 -
Contradiction (Reductio ad Absurdum) |
6, 8, 10 |
| March 12 |
22 - Induction, Strong
Induction. Q3 |
4 (one part per person), 10 |
| March 12/24 |
22 - Long Induction Examples
PS4 due 24 March. |
6, 14 |
| March 24 |
Chapters III and IV PS4 due today. | |
| March 26 |
Chapters III and IV |
|
| March 26/31 |
24 - Functions introduction |
1 (parts (1) and (2)), 6 |
| March 31 |
Second Exam | |
| April 2 |
24 - Functions (inverse and
rest) |
7, 10, 13 |
| April 2/7 |
25 - Pigeonhole Principle,
Cardinality |
1, 2 and 3, 10 |
| April 7 |
26 -
Composition |
5, 6, 11 |
| April 9 |
27 - Permutations |
3, 5, 6 |
| April 9/14 |
27 - Transpositions. PS3 due
13 April |
1, 7, 11 |
| April 14 |
35 - Dividing |
2, 3, 7 |
| April 16 |
36 - Euclidean Algorithm | 1, 5, 6 |
| April 16/21 |
36 - How fast and rest Q5 on
21 April |
2, 12, 16 |
| April 23 |
37 - Modular Addition, Multiplication and Subtraction | 1 a-m, 4, 9 |
| April 23/28 |
37 - Modular Division | 1n-q, 12, 13 |
| April 28 |
39 - Fundamental Theorem of Arithmetic | 3, 9, 10 |
| April 30 |
39 - Infinitely Many Primes and onward | 8, 13, 14 |
| April 30/M5 |
Chapters I - V, VII. PS7 due
4 May |
|
| May 5 |
Chapters I - V, VII | |
| May 12 |
Chapters I - V, VII |