Fall 2009 10:30A - 11:20A MWF 218 MLH

Instructor:  Dr. Isabel Darcy                 Office:B1H MLH                     Phone: 335- 0778
Email: idarcy AT math.uiowa.edu
Office Hours: M 11:45am - 1:15pm, T 4:45pm - 5+, WF 9:40 - 10:10am, Th 2:30 - 3:15pm, and by appointment.

Final's week office hours Tuesday 11-12 and 2 - 4pm and by appt, Wednesday 9:45am - 10:20am, 5:00pm+

On Wednesday I have a meeting scheduled from 12 - 3pm. It will likely end before 2pm. I will return to my office as soon as the meeting ends and thus will likely be available before the 3:30pm review session.

Due to snow day: Extra office hours Fri Dec. 11 11:40 - 1:00pm and by appt.

HW will be posted on this web page, but you can check grades via ICON

HW 1 (due Friday, Sept 11)
read 1.1; 1.8) 4 or 7;
2.7: 1, 4, 6, 9, 11, 16, 17, 19, 20, 21, 27, 29, 38, 39

HW 2 (due Wednesday 9/16) some answers for HW2 Ch 2) 48, 49, 50, 51, 52, 61, 63 and
3.4) 1

HW 3 (due Wednesday 9/23) some answers for HW's 3 and 4
3.4) 8, 12, 18 and (20 or 23);

HW 4 (due Wednesday 10/7)
Ch 4: 1, 5, 7, 8 (exam 1 material)
Ch 4: 15, 19, 20, 35, 36 (exam 2 material)

HW 5 (due 10/14)
Ch 4: 37, 44, 46, 48, 49, 51

HW 6 (due Wednesday 10/21)
Ch 5: 3, 6, 7, 10, 25
Ch 5: 11, 40, 46 (note addition of 46)
Ch 6: 2

HW 7 (due Wednesday 10/28)
Ch 6: 3, 6, 9

HW 8 (due Wednesday 11/11)
Ch 6: 15, 16, 17, 24, 26 [Note the addition of 16]
Note the above HW assignment is the final version. No further changes to HW 8 will be made.

HW9 (due Wednesday 11/18) ABC answers
Ch 6: 27 and
Ch 7: 4, 16, 17, 18
A.) Suppose the sequences $r_n$, $s_n$, and $t_n$ satisfy the homogeneous linear recurrence relation, $h_n = a_1(n)h_{n-1} + a_2(n)h_{n-2} + a_3(n)h_{n-3}$ (**). Show that the sequence, $c_1 r_n + c_2s_n + c_3 t_n$ also satisfies this homogeneous linear recurrence relation (**).
B.) Suppose the sequence $\psi_n$ satisfies the linear recurrence reln, $h_n = a_1(n)h_{n-1} + a_2(n)h_{n-2} + a_3(n)h_{n-3} + b(n)$ (*). Show that the sequence, $c_1 r_n + c_2s_n + c_3 t_n + \psi_n$ also satisfies this linear recurrence relation.
C.) How many terms of the sequence are needed to find a unique sequence with these terms satisfying (*). What linear system of equations can be used to determine $c_1, c_2, c_3$.

HW10 (due Wednesday 12/2)
Ch 7: 8, 38a, 39, 40, 45 and Ch 14: 1

HW11 (due Friday 12/11)
CH 14: 4, 5, 10, 13, 18, 22, 24, 25

review HW problems (optional) and ch 7 #4 answer,
review HW answers (Note typo in #1: r_2 = 33, not 34 as there are only 7 ways to place to rooks in A

Tentative Schedule

 Monday Wednesday Friday Week 1 8/24: 1.1, 2.1 8/26: 2.2, 2.3 8/28:2.4 Week 2 8/31: 2.3, 2.4, 2.5 9/2: 2.4, 2.5 9/4: 2.5 Week 3 9/7: Holiday 9/9: 2.6 9/11: ch 3 Week 4 9/14:3.1, 3.2 9/16: 3.1, 3.2 9/18: 3.2 3.3, Ramsey game Week 5 9/21: 3.3 9/23: 3.3 , 4.1 9/25: 4.2, 4.3 Week 6 9/28: Review 9/30: Exam 1, Answers 10/2: 4.3, 4.4, Week 7 10/5: 4.4, 4.5 10/7: 4.5 10/9: 4.5, ch 5 Week 8 10/12: equiv reln, 5.1, 5.2 10/14: 5.2, 5.3 10/16: 5.4 Week 9 10/19: 5.5, 6.1 10/21: 6.1, 6.2 10/23: 6.2 , 5.5 Week 10 10/26: 5.5, 4.5, axiom of choice, 10/28: Review 10/30: Exam 2 (4.3 - 6.2), Answers Week 11 11/2: 6.3 6.3 11/4: 6.3, 6.4 11/6: 6.4 Week 12 11/9: 6.5, 7.1 11/11: 7.2, 7.2, linear DE 11/13: 7.2, 7.3 Week 13 11/16: 7.4 11/18: 7.4, 7.5 11/20: 7.5 Thanksgiving Week Nov 23 -27 Week 14 11/30: 14.1 12/2: 14.1 12/4: 14.2 Week 15 12/7: Review 12/9: Snow day 12/11: REVIEW PROBLEMS, permutation review

The final is tentatively set for 7:30 A.M. Thursday, December 17, 2009

NOT used this semester: 6.6 6.6 , 6.6 6.6 formula sheet for exam 2 8.1 8.2