Welcome to the Math 227 Home Page!


Meeting Time: Sec. 0003, TuTh 3:30-4:45; Sec. 0004, TuTh 5:00-6:15
Meeting Place: HHS 1204 (Both Sections)


Click here for the course syllabus.



Tuesday, January 10: Went over the syllabus; General discussion of the nature of dsicrete math; General discussion of logic.

Thursday, January 12: Class Cancelled.

Tuesday, January 17: Covered section 1.1 and most of 1.2 in the book. Arguments, argument form, propositions, negations, conjunctions, disjunctions, conditionals, biconditionals, truth tables, tautologies and contradictions.

Thursday, January 19: Finished sections 1.2 and 1.3. Further examples of truth tables, inverse, converse, contrapositve, necessary and sufficient conditions, valid and invalid argument forms, modus ponens, modus tollens, knights and knaves. FIRST QUIZ on Tuesday.

Tuesday, January 24: Took quiz. Went over problem 39 in section 1.2. Covered section 1.4: Digital logic circuits.

Thursday, January 26: Went over some of the homework problems. Covered most of section 1.5; Writing numbers in different bases. Will begin Chapter Two on Tuesday.

Tuesday, January 31: Took quiz. Went over homework problems. Finished section 1.5. Hexadecimal notation, Half-Adders, Full-Adders. Skipped the part about two's complements. Covered section 2.1 and part of 2.2. Quantified propositions, universal and existential quantifiers, predicates, truth sets, domains, formal vs. informal language, negations of quantified propositions. Lot's of examples.

Thursday, February 2: Finished through section 2.3. More on negations of quanitifed statements. Nested quantifiers.

Tuesday, February 7: Finished chapter two. Negations of statements with nested quantifiers. Arguments with quantified statements. Covered section 3.1

Thursday, February 9: Covered everything through section 3.2. Prime, composite and rational numbers. Basic proof techniques. FIRST EXAM will be on Thursday, February 23.

Tuesday, February 14: No class due to assessment exams.

Thursday, February 16: Covered section 3.3. Basic properties of divisibility. Fundamental theorem of arithmetic.

Tuesday, February 21: Handed back the third quiz and most recent homework. Reviewed for the FIRST EXAM, which is on Thursday.

Thursday, Februrary 23: Took first exam.

Tuesday, February 28: Went over the first exam. Covered section 3.4. Div and mod, proof by cases.

Thursday, March 2: Talked about this column from the Washington Post about the importance (or lack thereof) of learning algebra. Let class go early in honor of spring break.

Tuesday, March 3: Covered sections 3.4, 3.5 and 3.7. Proof by cases, floors and ceilings, proofs of the irrationality of the square root of two and the infinitude of prime numbers. Will finish chapter three next time.



Homework Five
Assigned: Tuesday, March 14
Due: Thursday, March 23

Section 3.4: 2, 8, 9, 15, 18, 19, 24, 26, 33, 40
Section 3.5: 2, 4, 6, 7, 16, 21, 28
Section 3.6: 2, 6, 7, 9, 11


Homework Four
Assigned: Thursday, February 9.
Due: Thursday, February 16

Sec. 3.1 pp. 139-141     3, 5, 6, 8, 12, 27, 28, 37, 38
Sec. 3.2 pp. 146-147     2, 8, 15, 21, 22, 27, 32, 35


Homework Three
Assigned: Thursday, Feburary 2.
Due: Thursday, Feburary 9.

Sec. 2.1 pp. 86-88     1, 4, 6, 7, 18, 26, 27, 28
Sec. 2.2 pp. 95-97     3, 4, 8, 12, 14, 15, 28, 30, 32, 46
Sec. 2.3 pp. pp. 108-111     6, 8, 10, 13


Homework Two
Assigned: Tuesday, January 24.
Due: Tuesday, January 31

Sec. 1.4     2, 4, 10, 12, 14, 17, 19, 25
Sec. 1.5     2, 3, 4, 8, 11, 14, 16, 24, 28, 39
Do Not Hand In: Sec. 1.3 2, 4, 7, 9, 11, 28, 30, 38


Homework One
Assigned: Tuesday, January 17.
Due: Tuesday, January 24.

Sec. 1.1, pp. 15-17.   2, 7, 9, 13, 15, 17, 20, 24, 33, 36, 38, 43, 44, 52
Sec. 1.2, pp. 27-29.   8, 10, 15, 18, 25, 27, 39, 48