Thursday, 9/4	Intro to the course, discussion of syllabus, a bit of logic (appendix)
Monday, 9/8	Logic (appendix) Read: Appendix, pp. 365-373 (don't worry too much about the truth tables)
Tuesday, 9/9	Logic (appendix) and Set Theory (1.1) Read: Section 1.1.
Thursday, 9/11	Set Theory (1.1) HW 1 Due: p. 373, 14-24 even, 54, 57, 58-68 even. You may want to try some similar odd-numbered exercises and check them in the back to make sure you're on the right track.
Monday, 9/15	More on sets (1.1) and some on Mappings (1.2). Read: Section 1.2
Tuesday, 9/16	Mappings (1.2)
Thursday, 9/18	Mappings (1.2), Composite Mappings (1.3) Read: Section 1.3 HW 2 due: p. 10, #5, 6 d,h,f,j, 7 a-e, 10 (give an informal reason; you don't need to prove it), 20-22
Monday, 9/22	Composite Mappings (1.3), Binary Operations (1.4) Read: Section 1.4
Tuesday, 9/23	Binary Operations (1.4) HW 3 Due: p. 20, #1, 3, 4 a-f, 5, 6, 11 c
Thursday, 9/25	Binary Operations (1.4), Permutations (1.5) Read: Section 1.5
Monday, 9/29	Permutations (1.5), Matrices (1.6) Read: Section 1.6
Tuesday, 9/30	Exam 1 (5:30-7:00 pm) In class: review for exam
Thursday, 10/2	Matrices (1.6) HW 4 due: p. 26, #1a,b,d, 2a,b,d, p. 31 #1b,c,f, 2a,d,g,j, 4-7
Monday, 10/6	Matrices (1.6), Relations (1.7) Read: Section 1.7
Tuesday, 10/7	Relations (1.7)
Thursday, 10/9	Relations (1.7) HW 5 due: p. 36, #1b,d,g, #2a, b p.46 1-3, 8-11
Monday, 10/13	No Class -- Fall Break
Tuesday, 10/14	No Class -- Fall Break
Thursday, 10/16	Mathematical Induction (2.2) Read: Section 2.2 HW 6 due: p. 52 #2a,c,d,h,j, 5, 6, 11a, b, d, e, 12a, b
Monday, 10/20	Mathematical Induction (2.2)
Tuesday, 10/21	Divisibility (2.3) Read: Section 2.3
Thursday, 10/23	Divisibility (2.3) HW 7 due: p. 67 #2, 3, 6, 10, 14, 33, 34, 40, 45
Monday, 10/27	Divisibility (2.3), Prime Factors and the Greatest Common Divisor (2.4)
Tuesday, 10/28	In Class: Review Exam 2 (5:30-7:00pm)
Thursday, 10/29	Prime Factors and the Greatest Common Divisor (2.4)
Monday, 11/3	Prime Factors and the Greatest Common Divisor (2.4) HW 8 Due: p. 74, 1a, b, c, d, e, 2c, d, e, 5, 6, 8, 10, 18, 19, 31, 33, 36
Tuesday, 11/4	Unique Factorization (2.4)
Thursday, 11/6	Congruences of Integers (2.5)
Monday, 11/10	Congruences of Integers (2.5) HW 9 due: p. 81, 1, 2, 3 a, c, d, h, j, l, 5, 7, 8, 9, 13, 26
Tuesday, 11/11	Congruence classes (2.6)
Thursday, 11/13	Congruence classes (2.6) HW 10 due: p. 88, 2-3, 6-10
Monday, 11/17	Congruence Classes (2.6), Definition of a Group (3.1)
Tuesday, 11/18	Definition of a Group (3.1)
Thursday, 11/20	Definition of a Group (3.1) HW 11 due: p. 94, 1, 3bde, 4cef, 6a-e, 7a-c, 8a-f, 9, 10, 18, 21
Monday, 11/24	Definition of a Group (3.1), Subgroups (3.2)
Tuesday, 11/25	Subgroups (3.2)
Thursday, 11/27	No Class -- Thanksgiving
Monday, 12/1	Exam 3 (5:30-7:00pm)
Tuesday, 12/2	Subgroups (3.2), Cyclic Groups (3.3)
Thursday, 12/4	Cyclic Groups (3.3)
Monday, 12/8	Isomorphisms and homomorphisms (3.4 and 3.5) Hw 12 Due: p. 127 #2, 5, 9, 10, 22-25 (on all these so far, if you determine the subset is a group, you don't need to justify your answer; if not a group, say which of the parts of the definition don't hold), 27 a (Hints: use Corollary 2.29 and Theorem 2.27). p. 138 #1a,d,f,g, 3-6, 8, 10, 12, 13a
Tuesday, 12/9	Isomorphisms and homomorphisms (3.4 and 3.5)
Friday, 12/12	HW 13 due at 5 pm in envelope outside my office: p. 160 #1a,b,e,f, 2, 4, 15a (recall that phi(H) is the set of all elements of the form phi(h) for some h in H). p. 156 #3 (you don't need to justify why it's an isomorphism), 11 (recall logarithm rules from calculus)
Thursday, 12/18	Final Exam, 8:30-11:30 am