Fall 2007 Math 101 Contemporary Mathematics Note: this course is not open to students who have received credit for Math 104 or 105. It is also not open to those who have received credit for Math 112 or higher. Instructor C. M. Staniunas Text Excursions in Modern Mathematics, Fifth Edition (custom edition for Roanoke College), by Peter Tannenbaum Objectives To give the students understanding of the basic theory and application of the contemporary mathematical topics of graph theory, modeling of social choice, and game theory. Topics Graph construction, Euler circuits, Hamilton circuits, trees, networks, voting methods and fairness criteria, weighted voting, apportionment, total conflict, partial conflict, growth models, and others as time allows. Calculator Yes! Bring it to every class. Do NOT use your cell phone’s calculator function in our class. Please turn that darned thing off! Test Schedule Block 5 Test 1 Sept. 21 Test 2 Oct. 10 Test 3 Nov. 9 Final Exam Wed. Dec. 12, 2 pm* If you miss a test because of illness or family emergency, notify me. You’ll be expected to take it as soon as possible, preferably within 48 hours. *In accordance with college policy, I do not have to reschedule your final exam UNLESS you have three consecutive final exams. Please do not ask me to reschedule your exam just because you want to leave school early. If you are on record with the College’s Special services as having special academic or physical needs requiring accommodations, please meet with me as soon as possible. We need to discuss your accommodations before they can be implemented. Also, please note that arrangements for extended time on exams and testing in a semi-private setting must be made at least one week before the exams. Attendance Policy If you miss six hours of class after the add date, you may be dropped from the course. A tardy counts as half an absence. If indulgence in alcohol causes you to miss more than one class, the number for AA is 343-6857. Grading Policy Projects and papers Homework and Quizzes Tests Final 15% 10% 17% each 24% Grades will be assigned thus: A 93-100 C 73-76 A- 90-92 C- 70-72 B+ 87-89 D+ 67-69 B 83-86 D 63-66 B- 80-82 D- 60-62 C+ 77-79 F below 60 Office 161 D Trexler Hall Office Hours MWF 7:45-8:15 am (earlybird special) MWF 10:50 -11:50 , TTh 8 - noon Phone 375- 2010 Academic Integrity You are expected to be familiar with the Academic Integrity Code outlined in the booklet Academic Integrity at Roanoke College. In this class you shall not cheat on quizzes or tests. You shall not collaborate with anyone on any assignment that has the words “work independently” as part of the instructions. Dress Code One of the mottoes of my generation was, “If you’ve got it, flaunt it.” In this class, if you’ve got it, keep it covered, from the base of the neck to the knees. Homework Expect to turn in homework every class day (except during weeks in which we have tests). If I do not give a quiz that day, I shall collect homework and grade that. If you miss class, have a friend deliver your homework to my office. There is a 24-hour grace period for late homework, but you may only use it twice. You ARE allowed to help each other in doing ordinary homework problems from the book. You aren’t allowed to help each other with any assignment on which I have written “work independently.” One of your assignments will be to attend one of the MCSP colloquia and write a paper about what you learned. I will provide you with a list as soon as I get one myself. TENTATIVE SCHEDULE AND ASSIGNMENTS FALL 2007 date class) 8/29 8/31 9/3 9/5 9/7 1.1,1.2 1.3 1.4 1.5 9/10 9/12 9/14 9/17 9/29 9/21 9/24 9/26 1.6 2.1 2.2,2.3 2.4,2.5 review Test 1 3.1,3.6 3.7 9/28 handout A 4.1-4.3 4.4,4.5 4.6 review Test 2 4.7-4.8 10/1 10/3 10/5 10/8 10/10 10/12 Break 10/22 10/24 10/26 10/29 10/31 11/2 discuss section(s) 5.1-5.4 5.5-5.7 6.1-6.4 6.5 6.6-6.8 7.1-7.3 11/5 11/7 11/9 11/12 7.4-7.5 review Test 3 9.1-9.2 11/14 11/16 11/19 Break 11/26 11/28 11/30 12/3 12/5 12/7 9.3-9.4 9.3-9.4 10.1-10.2 10.3 10.3 10.4 16.1 16.2 16.2/revie w homework assignment (problems assigned here will be turned in the next day of read sections 1.1 and 1.2 Do pp28-39/ 2,4,10 to turn in Friday Do pp28-39/ 6, 8, 12, 14, 16,53b&d. Read section 1.3 Do p33/ 20. All seven problems are due Monday. Do pp33-41/ 22, 24, 26,53a&c.Read section 1.4. Do p35/ 30. Problems are due Wednesday. Do pp34-40/ 28, 32, 54 Read section 1.5. Do p36/ 36 . Problems are due Friday. Do pp36-40/3 8, 40,49,50,55. Read section 1.6. Do pp37-38/ 41,43 Show all work or lose points. Due Monday. Do pp37-41/ 42, 44,59,60,61. Read section 2.1. Do p72/ 2. Problems due Wednesday Do pp72- 78/4 , 6, 8, 10, and 50. Read sections 2.2 and 2.3 Do p73/ 12. Problems are due Friday. Do pp73- 78/ 14, 16, 20, 42a&b, 44. Read sections 2.4 and 2.5. Do p75/ 24. Problems are due Monday. Do pp76-79/ 26,30b&c,32,34,36,38,42c,45 Study sections 1.1-2.5 Read sections 3.1 and 3.6. Do pp124-125/ 40 and 42 to turn in Monday Do pp125/ 44. Read Section 3.7. Do pp126-127/ 46,48,50 to turn in Wednesday Do pp127-130/ 52,61,62. Read Handout A concerning the Adjusted Winner Procedure. Work the problems Read section 4.1-4.3. Do pp 160-161/ 2,4 . Problems are due Monday. Do pp161-164/ 6, 8, 10, 39. Read sections 4.4 and 4.5. Do 162/ 12.. Problems are due Wednesday. Do p162-163/ 14, 16, and extra apportionment problems worksheet . Read section 4.6. Do p163/ 18 Do p163-164/ 20, 22, 24, 40. Study sections 3.1 - 4.6. Read sections 4.7 and 4.8. Do p163-164/26, 34 for discussion Friday. Do p163-166/28, 36, 50, 51. Read sections 5.1-5.4. Do pp203-205/ 2, 4,12a-d. Problems due Mon. 10/23 Do pp206-214/18, 22,46,55,56. Read sections 5.5-5.7. Do pp207-209/ 2 6,30. Problems due Wednesday. Do pp209-213/32, 34,40,42,52. Read sections 6.1-6.4. do pp247-248/ 2,6. Problems due Friday. Do pp 250-251/12, 16,18,20,22. Read section 6.5. Do p 252/ 24 . Problems due Monday. Do pp 253-254/ 26a&b, 28,30. Read sections 6.6-6.8. Do pp 255-257/ 34,38, Problems due Wednesday. Do pp 257-263/40, 42,44,61,62. Read sections 7.1-7.3. do pp 293-294/ 2,4. Problems due Friday. Do pp294-307/8,10,12,18,20,22,25,44,50,64. Read sections 7.4 -7.5. Do p 299/ 28,30. Problems due Monday. Do pp 300-305/ 32,34,38,40,55, 58 Study sections 4.7-7.5 Read sections 9.1-9.2. Do pp 377-381/ 2,4 to turn in Monday. Do pp378-386/6,8,10,12,14,18,22,24,50. Read sections 9.3-9.4. Try p382-383/ 36. Problems due Wednesday. Do pp 383-384/ 38,40,42,46,48 Problems due Friday. Do pp 385-387/ 54,56,58,62. Read sections 10.1-10.2. Do p 419/2,4. Problems due Monday Do pp 420-426/6,8,10,12,14,16,18,56a. Read section 10.3. Do p 421/ 20. Problems due next Monday. Do pp 421-423/ 23, 24, 26, 30,32a,b,c. Problems due Wednesday. Read section 10.4. Do p 423/34,38. Problems due Friday. Do pp 423-427/40,42,44,46,64. Read section 16.1. Problems due Monday. Do p A 633-634/ 1-8 all, 13-23 odd. Read section 16.2. Problems due Wednesday. Do p A643-644/ 13-28 all Homework is due the next class day after it is assigned. There is a 24-hour grace period for homework, but you may only use it twice.