|
1/06 (Mon) Introduction. Sentences and their truth value. De Morgan's laws (2.1--2.3). |
1/08 (Wed) The distributive laws for conjunctions and disjunctions (2.4--2.5). |
1/10 (Fri) Conditional and biconditional sentences (2.6--2.20). |
|
1/13 (Mon) Tautologies. Conditional proofs. Contradictions (2.21--2.34). |
1/15 (Wed) Quantifiers (3.1--3.4). |
1/17 (Fri) Generalized De Morgan’s and Distributive Laws (3.5--3.20). |
|
1/20 (Mon) NO CLASSES. Martin Luther King Day. |
1/22 (Wed) Even, odd, rational, and irrational numbers (4.1--4.29). |
1/24 (Fri) Divisibility. Prime Numbers (4.30--4.57). |
|
1/27(Mon) Congruences of Integers (4.58--4.68). |
1/29 (Wed) Review for midterm 1. |
1/31 (Fri) Midterm #1. |
|
2/03 (Mon) Proofs: direct, conditional, biconditional, by contraposition, by contradiction, by example... |
2/05 (Wed) Proofs by induction (5.1--5.12). |
2/07 (Fri) Pascal’s Triangle and binomial coefficients (5.13--5.21). |
|
2/10 (Mon) Insight versus Induction (6.1--6.14). |
2/12 (Wed) Complete Mathematical Induction (7.1--7.15). |
2/14 (Fri) More divisibility (7.16--7.26). |
|
2/17 (Mon) Axioms of real numbers. |
2/19 (Wed) Order properties of R (8.1--8.30). |
2/21 (Fri) Absolute value (9.1--9.10). |
|
2/24 (Mon) Finite sets (10.1--10.15). |
2/26 (Wed) Set operations (10.16--10.23). |
2/28 (Fri) Complementary set. Venn diagrams (10.24--10.39). |
|
3/03 (Mon) The power set of a set (10.40--10.51). |
3/05 (Wed) Review for midterm 2. |
3/07 (Fri) Midterm #2. |
|
3/17 (Mon) Functions (11.1--11.19). |
3/19 (Wed) Composition of Functions (11.34--11.44). |
3/21 (Fri) Surjections, injections, and inverse functions (11.45--11.74). |
|
3/24 (Mon) Cardinalities (13.1--13.30). |
3/26 (Wed) Combinations (14.1--14.13). |
3/28 (Fri) Infinite sets (15.1--15.10). |
|
3/31 (Mon) Countable sets (15.11--15.15). |
4/02 (Wed) R is uncountable (15.16--15.20). |
4/04 (Fri) Higher orders of infinity (15.21--15.32). |
|
4/07 (Mon) Axioms for Set Theory. |
4/09 (Wed) More About Infinite Sets (16.1--16.21). |
4/11 (Fri) The cardinality of the continuum (16.26--16.28) |
|
4/14 (Mon) The continuum hypothesis. |
4/16 (Wed) Cantor's set. |
4/18 (Fri) Ordinal numbers. |
|
4/21 (Mon) Review for the final. |
4/24 (Th) FINAL, 10:00 - 11:45 AM |