MATH 101 - FINITE MATHEMATICS

Semester: Fall 1999

Instructors:  Walden Freedman, Nejat Bulut, and Ali Serpengüzel
Offices:  A265,  A254, A277
Phone Ext: 558 (Freedman), 570 (Bulut), 312 (Serpengüzel)
E-mail: wfreedman@ku.edu.tr, nbulut@ku.edu.tr, aserpenguzel@ku.edu.tr
Office Hours:  Wednesday 10:00 - 13:00 (Freedman)
                          Monday and Wednesday 13:00 - 14:30 (Bulut)
                          Tuesday and Thursday 13:30 - 14:45 (Serpengüzel)

Teaching assistants: Suat Sisik, and Onur Yavuz
Office: A269, A218
Ext: 652 (Sisik), 604 (Yavuz)
e-mail: ssisik@ku.edu.tr, oyavuz@ku.edu.tr
Office hours: TBA

Required Textbook:  Applied Mathematics for Business, Economics, Life Sciences, and Social Sciences, by R.A. Barnett and M.R. Ziegler, 6th edition, Prentice-Hall 1997
Recommended Textbook:  Finite Mathematics with Calculus, by D.E. Zitarelli and R.F. Coughlin, 2nd edition, Saunders College Publishing, 1992 ( on reserve in the library )

Schedule:  Lecture 1 (Freedman):  T, R  9:00-10:15   Room: A103
                   Lecture 2 (Bulut):  T, R  10:30-11:45   Room: A115
                   Lecture 3 (Serpengüzel):  T, R 10:30-11:45  Room: G102
                   Problem Sessions: TBA

Course Contents:  Mathematics of finance; linear algebra; matrices and determinants; optimization; counting -- basic combinatorics; probability; Markov chains; game theory

Chapters to be covered:
Chapters 3—7 from Applied Mathematics; and sections 10.1—10.3 of the above recommended textbook (for game theory)

Attendance:  Attendance will be taken in the lectures. The final course grade of any student missing more then six lectures will be reduced by one letter grade. Students are are strongly encouraged to attend the problem sessions.  Regular attendance and participation in class and problem sessions will be taken into consideration in determining the grades of borderline students.

Grading Policy: The final course grade will be determined as follows: Two midterm exams, 25% each;  Final exam, 50%

The midterms are scheduled for Tuesday, November 16th, and Tuesday, December 14th.  The date of the final exam will be announced later.  Makeup exams are very reluctantly given only with a university-approved medical excuse and if given, will always be harder than the original exams.  Do not plan to take makeups.

Suggested homework problems will be given regularly and posted on the instructors’ office doors as well as on the network.  While these will not be collected and graded, they should be taken seriously.   You can always ask the instructors or assistants for help with the suggested problems as well as other problems (mathematical, that is).

We advise students to do more problems than are listed: mathematics is best or only learned by working on problems; it is not a spectator sport.  Problem session questions and solutions from previous semesters will also be posted next to the assistant’s office.

Academic Honesty:  Academic dishonesty, including cheating on exams, quizzes and homework, is a serious offense and will not be tolerated.  University policies regarding this matter will be strictly enforced.  Please read the section on academic honesty in the university catalog.  If you have further questions, ask your advisor or instructor for assistance.

If you are at a party with 25 people, do you think it is likely that two of the people at the party have the same birthday?   If someone bet you $10 that everyone had different
birthdays, should you take the bet?  What if there were 50 people, or 20??

This is the kind of question that we will learn to answer intelligently in this course.  More generally, Finite Mathematics is concerned with discrete events: tossing a coin; picking a card from a deck of cards;  amortizing a debt with monthly payments; etc.  Many interesting questions arise; this is the stuff of day-to-day life.  The surprising fact is that if there are at least 23 people at the party, it is more likely that two people do have the same birthday than not.  In particular, if there are 30 people present,  the probability is about 0.7 that at least two people have the same birthday.

We will see why this is so when we tackle probability later in the course.  A good understanding of probability and financial mathematics in particular, will provide you with tools that you can use all your life.  Good luck and enjoy the course!
 

Chapters 1 and 2
Section 1.3 # 1, 3, 7, 19, 23, 33, 39, 47.  Section 2.2:  # 13, 15, 17, 41, 43, 45, 55, 57, 59, 61, 63

Chapter 3, Mathematics of Finance
Section 3.1:  # 1-4, 5, 7, 9, 17.  Section 3.2:  # 1, 5, 9, 19, 21, 23, 25, 31, 35, 37, 39, 41, 45, 47, 48, 55, 61.    Section 3.3:  # 1, 3, 7, 9, 11, 15, 17, 19, 21, 25  Section 3.4:  # 1, 3, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 33  Read p.163-164 on important terms and symbols.  Do as many of the review problems p. 164-167 as you can.  Try the Chapter 3 Group Activity, p. 163.

Chapter 4, Linear Equations and Matrices
Section 4.1:  #  1, 7, 13, 15, 17, 39, 47, 49, 51, 55, 57.  Section 4.2:  #  1-10, 11, 17, 27, 39, 45, 49  Section 4.3:  #  3, 5, 7,  9, 11, 15, 19, 21, 23, 31, 35, 37, 41, 45, 51, 57, 67, 69, 71
Section 4.4:  #  1, 5, 7, 15, 19, 23, 25, 27, 29, 39, 47, 51, 57, 59, 61, 63  Section 4.5:  #  1, 7, 11, 15, 21, 27, 31, 33  Section 4.6:  #  1, 3, 5, 7, 9, 11, 13, 17, 23, 25, 33, 35, 37, 39, 41, 43
Read p. 255 on important terms and symbols.  ****Note that we skipped section 4.7.
Do as many of the review problems on pages 256—258 as you can, from  #1--24, 27 – 29, 31, 32, 35 – 42, and 45.  Try the Chapter 4 Group Activity, p. 254.

Chapter 5, Linear Inequalities and Linear Programming
Section 5.1:  #  1-17 (odd), 23, 31, 33, 35, 39, 41, 45, 47, 49, 51, 53
Section 5.2:  #  1, 3, 5, 7, 15, 17, 21, 23, 27, 29, 31, 35, 37, 41
***Note that we are skipping the rest of chapter 5.  Read p. 359 on important terms and symbols for sections 5.1 and 5.2.  Try some of the review problems on your own, p. 359-362.

Chapter 6, Probability
Section 6.1:  #  5, 9, 11, 13, 15, 19, 21, 25, 27, 29, 31, 33, 35, 41, 43, 47
Section 6.2:  #  3, 7, 9, 11, 17—25 (odd), 27—33 (odd), 37, 41—49 (odd)
Section 6.3:  #  1- 11 (odd), 15, 19, 27, 33, 37, 41, 43, 45, 49, 51, 53, 55, 59, 61, 63, 65.
Section 6.4:  #  1, 3, 7, 13, 17, 19, 23, 25, 27, 29, 35, 37, 41, 43, 45, 51, 53, 57, 59, 61, 63, 65, 67    Section 6.5:  #  1--7 (odd), 9, 11--17 (odd), 21, 27, 29, 33, 35, 37, 49, 53
Section 6.6:  #  1, 3, 5, 9, 11, 13, 17, 23, 25, 27, 29, 31, 35, 39, 41, 45
Section 6.7:  #  1, 3, 5, 7, 11, 13, 17, 19, 21, 23, 25, 29, 31
Read p. 457 on important terms and symbols.  Try the Chapter 6 Group Activity on p. 455.
Do as many of the review problems on pages 457—462 as you can.

Chapter 7, Markov Chains
Section 7.1:  # 1, 3, 5, 9, 11, 13, 15, 19, 21, 23, 25, 29, 35, 43, 45, 51
Section 7.2:  #  1, 3, 13, 17, 25, 27, 29, 33, 37, 43, 45, 47
Section 7.3:  #  1—7 (odd), 11—17 (odd), 21, 23, 33, 39, 41, 45
Read p. 509 on important terms and symbols, and the Group Activity on p. 508—509.
Do as many of the review problems on pages 509—513 as you can.  Try the Chapter 7 Group Activity on p. 508-509.

Game Theory
Chapter 10 of Finite Mathematics with Calculus, by Zitarelli and Coughlin
Section 10.1:  #  11,  17, 19, 25, 33, 35, 39, and referenced exercise 3, page 520.
Section 10.2:  #  3, 7, 13, 15, 23, 25, 31, 39, and referenced exercise 2, page 532.
Section 10.3:  #  1, 7, 11, 17, 19, 35, 39, and referenced exercise 2, cumulative exercise 5, page 541.