239 Reading Schedule

for Day
Reading
Exercises
August 31
Syllabus, to the Student, 1 - Joy
to the Student 2, 1.1
September 2
2 - Definition
1, 3, 5, 9a, 10
September 4
3 - Theorem
1, 3, 4, 5
September 9
4 - Proof
3, 5, 6, 8, 10, 13, 15
September 11
5 - Counterexample
1, 3, 4, 6, 8
September 14
6 - Boolean Algebra
2, (3-7), 12
September 16
7 - Lists, 8 - Factorial
6.3, 7, 8, 11, 13; 7.4, 5, 8, 9
September 18
9 - Sets
1, 3, 4, 5, 8
September 21
10 - Quantifiers
1, 3, 4
September 23
11 - Sets:  Union, Intersection, and Sizes, Discuss Indexed Sets
2, 3, 4, 5, 6, 7
September 25
11 - Sets:  Differences and Products
8, 9, 12, 15, 16
September 28
Chapters I and II

September 30
Chapters I and II

October 2
First exam

October 5
13 - Relations
1, 4, 5, 12
October 7
14 - Equivalence Relations
2, 3, 5, 6, 7, 10
October 9
15 - Partitions
7, 8, 9, 13
October 14
16 - Binomial Coefficients:  definition and calculating
2, 3, 4, 6,7
October 16
16 - Binomial Coefficients:  Pascal's Triangle and formula
8, 11, 12, 13, 15
October 19
19 - Contrapositive
1, 2, 3
October 21
19 - Contradiction (Reductio ad Absurdum)
4, 6, 8, 10
October 23
21 - Induction, Strong Induction
3, 4, 7, 9
October 26
21 - Long Induction Examples
6, 14
October 28
Chapters III and IV

October 30
Chapters III and IV

November 2
Second Exam

November 4
23 - Functions introduction
1 (first two dots), 5
November 6
23 - Functions (inverse and rest)
2, 3, 4, 7, 13
November 9
24 - Pigeonhole Principle, Cardinality
(2 or 3), 10
November 11
25 - Composition
1, 3, 5, 6. 10. 11
November 13
26 - Permutations
1 (not d), 3, 5, 6, 8, 9
November 16
26 - Transpositions
1d, 7, 10, 11, 16
November 18
34 - Dividing
1-4
November 20
35 - Euclidean Algorithm 1, 5, 6
November 23
35 - How fast and rest 2, 8, 11, 12, 14, 15
November 30
36 - Modular Addition, Multiplication and Subtraction 1 a-m, 2, 4, 5
December 2
36 - Modular Division 1n-q, 12, 13
December 4
38 - Fundamental Theorem of Arithmetic 1, 3, 9, 10
December 7
38 - Infinitely Many Primes and onward 8, 13, 14
December 9
overflow space / more Chapter VII

December 11
Chapter VII

December 14
Chapters I - V, VII
self-tests
December 16
Chapters I - V, VII