Skip Navigation Links
MATH 300 Spring 2008
Lecture Summary



Week Monday Tuesday Thursday
1 (March 24-28) Deductive Reasoning, Truth Tables (1.1, 1.2)
HW: (1.1) 2abc, 6abc, 7abc, (1.2) 2ab
Variables and Sets, Operations on Sets (1.3, 1.4)
HW: (1.2) 6abc, 12abc, 13, (1.3) 2abc, 4abc, 6abc, 8abc
Operations on Sets, Conditionals (1.4, 1.5)
HW: (1.4) 6a, 7a, 9, 13ab, 15ab, (1.5) 3a-g, 5ab, 7ab, 9
2 (March 31-Apr 4) Cesar Chavez Day Biconditionals (1.5), Quantifiers (2.1)
HW: (2.1) 3abcd, 5ab, 6abcde, 8abcdef, 9abcdef
Equivalences Involving Quantifiers (2.2), Indexed Sets (2.3)
HW: (2.2) 2cd, 3ad, 9, 10ab
In class discussion: (2.2) 12
3 (April 7-11) Power Sets, Indexed Families (2.3), Introduction to Proofs (3.1)
HW: (2.3) 6, 9, 10, 12bc, 14, 15
In class: (2.3) 5
Direct Proof, Contrapositive Proof (3.1), Proofs Involving Negation and Conditionals (3.2)
HW: (3.1) 3, 6, 7, 10, 12, 15, 16, (3.2) 3, 6, 7, 10, 12, 17
In class: (3.1) 2
Proofs with Quantifiers (3.3)
HW: (3.3) 2, 4, 5, 6, 13
4 (April 14-18) Proofs with conjunctions and biconditionals (3.4)
HW: (3.4) 2, 3, 6, 8, 10, 11, 26
In class: Read Example 3.4.1
Proofs with disjunctions (3.5), Existence and Uniqueness (3.6)
HW: (3.5) 2, 3, 9, 13, 14, 27 (3.6) 2, 3, 7a, 8a
Ordered Pairs, Cartesian Products (4.1)
HW: (4.1) 9, 10, 11
In class: (4.1) 2, 3, 6
5 (April 21-25) Relations (4.2)
HW: (4.2) 2, 3, 5, 6d, 8, 11b
In class: (4.2) 1, (3.3) 21
More on Relations (4.3)
HW: (4.3) 4
Test 1 (up to 3.3)
6 (April 28-May 2) More on Relations (4.3), Equivalence Relations (4.6)
HW: (4.3) 6, 14, 18, 19, 21, 22
Equivalence Relations (4.6)
HW: (4.6) 4, 6, 13, 16
In class: (4.6) 3
Ordering Relations (4.4)
HW: (4.4) 1ac, 5
In class: (4.4) 2
7 (May 5-9) Ordering Relations (4.4), Functions (5.1)
HW: (4.4) 3bc, 10, 13, 15, 19, 21c
Functions (5.1), One-to-one and Onto functions (5.2)
HW: (5.1) 2, 4, 6, 7, 9, 14, 17
In class: (5.1) 1
One-to-one and Onto Functions (5.2), Inverses (5.3)
HW: (5.2) 3, 4, 6, 8, 12, 18a
8 (May 12-16) Inverses (5.3), Functions on Sets (5.4)
HW: (5.3) 2, 4, 6, 7, 12, 18
Functions on Sets (5.4), Induction (6.1)
HW: (5.4) 1 (6.1) 2, 6, 8, 9, 12
More on Induction (6.2, 6.3)
HW: (6.1) 17, 18 (6.2) 3, 5, 16
9 (May 19-23) Strong Induction (6.4), Infinite Sets (7.1)
HW: (6.3) 4, 13a, 17 (6.4) 7a, 11, 19
Infinite Sets (7.1), Review
HW: (7.1) 3abc, 4, 5, 11, 12
Test 2
10 (May 26-May 30) Memorial Day Countable and Uncountable Sets
HW: (7.2) 1, 4
The Cantor-Schroder-Bernstein Theorem (7.3)
HW: (7.3) 1, 3, 4, 8
11 (June 2) Review no class no class



clam@csub.edu