## Martin Flashman's Courses

Math 104 Finite Mathematics
Spring, '00
TR 1230-1350 ART 027
Final Exam (Cooperative) Problem: 9.3 # 28
Due no later than Thursday, May 11 @5pm.

Last updated: 01/03/2000
```Spring, 2000     Problem Assignments(Tentative as of 12-21-99)       M.FLASHMAN
Section   Problems (*= interesting but optional)
-------   --------------------------------------
Assignments and recommended problems I```
```1.1 1/20-> (general review)1,3,5-7,9,15-21 odd,33-37 odd,41
1.3 1/25-> (Linear Functions) 1-15 odd,27-33 odd, 37,45-53 odd, 71-74
1.4 1/25-> (linear Models) 1-9 odd, 11,14,17,23,31,39,40,45```
```2.1 1/27-> Linear Systems (2)1-7 odd, 16-18,25,33,36,45
2.2 2/3-> Matrices  (2)  1,3,5,7,8,9,19,21
2.3 2/8-> Matrices (3+) 1-15 odd, 31,33
2.4 2/10&15-> Applications  1,6,7,17,21, *(25-27), 29, *(33,35,37)```
```Assignments and recommended problems II
3.1  2/15-> 1-33 odd, 53, 54, 60
3.2  2/17->(i) 1-21 odd, 47
-> (ii) 23-27, 51-53, 63,64
3.3  2/22->(i) 1-21 odd
2/24->(ii) 23-25,43,44,47
2/24->(iii)53, 57
3.4  2/29->1,3,5,21

Assignments and recommended problems III
4.1 2/29-> (i)1-15 odd, 20, 22, 23
3/2->    (ii) 24, 25, 33,35,39
4.2 3/2->    (i) 1-9 odd, 8, 23
3/7->   (ii) 13,15, 21, 27, 31, *33, 35```
`BREAK: DUE 3/21 p 237: 51, 52; p 273: 33, 34`
```4.3  3/23-> (i) 1-9 odd,10, 21
(ii) 13,14, 23,25, 31, 37
4.4         (i) 1,3,4
(ii) 9,11,12, 23, 25, *41```
```Assignments and recommended problems IV
5.1   3/23->  (i) 1-13 odd, 17, 18, 21, 23
3/28->  (ii) 29, 31-33, 39-41, 59
5.2   3/28->   1-4, 9-11,13,15, 21-23, 29, 31
5.3   3/30->  (i) 1-7 odd, 11,13
3/30->   (ii) 15-21 odd, 31, 35, 51
5.4   4/3-> 1-7 odd, 11,13, 17-19```
```6.1   3/30->  (i) 1-13 odd, 29-31,33
6.2   4/4-> 1-5 odd,11-21 odd, 29-31
6.3   4/6-> 1-9 odd, 17, 23
6.4   4/6-> 1-9 odd, 17, 35, 38
6.5   4/11->  1-7 odd, 11,13,,21,31,33,57,61```
```8.1   4/13-> 1-19 odd, 23-26
8.2   4/13-> 1-5, 9,23
4/18-> 2,4, 29
8.3   4/27-> 3,5, 23```
```9.1   5/2-> 1-9 odd, 17
9.2   5/2-> 1-5,11
9.3   5/2-> (i) 1-9 odd
5/4-> (ii) 9, 11, 13, 19

```
 Tuesday Thursday Week 1 1/18 Course Introduction Review of Numbers, Variables, Graphs and Lines. 1/20 1.1, 1.3,1.4 More on lines: functions and models Week 2 1/25 2.1. Linear Equations. Solutions and applications. I 1/27 2.2. Linear Equations: II. Matrices. {geometry & 3 variables) Week 3 2/1 2.3 Linear Equations: III. More general systems and matrices. 2/3 2.4. Linear Equations: IV. Week 4 2/8 More applications. 2/10 3.1 Matrix algebra Week 5 2/15 3.2 Matrices and linear equations revisited. 2/17 3.3 Matrix inverses. Week 6 2/22 3.3 Finish matrix equations. 3.4. Begin Input-output model. 2/24 Finish I-O model. Start Graphing Linear Inequalities, LP. Week 7 2/29 4.1, 4.2 Linear Programming I: graphical.  Start Simplex Method 3/2 4.3 Linear Programming: Week 8 3/7 4.3 More LP examples.Review. The Simplex Method Begin. 3/9 Exam I (covers thru 4.3) Mid-Term Vacation 3/14 3/16 Week 9 3/21 Start Finite Sets and Counting. 5.1 & 5.2.  Standard LP with Simplex Method. 4.3 3/23 Multiplication and permutation. 5.3TREES. Week 10 3/28 More counting.permutations. 5.3 Begin Sample Space/events. 6.1 3/30Addition and More counting. 5.4 Begin Probability. 6.2 Basic Principles 6.3 Week 11 4/4 Counting again. 6.4 4/6 Conditional Probability -Multiplication and trees 6.5 Independence.6.5 Week 12 4/11 Markov Systems and matrices. 8.1, 8.2 4/13 more on Markov systems. 8.2 [ The birthday/birth month problem] Week 13 4/18 Review-  Regular Markov Systems.Equilibrium & Steady States. 8.3 4/20 Exam II Covers chapter 5,6, and 8.1-8.2 Week 14 4/25 More on regular Markov systems.8.3 4/27 Game Theory Intro 9.1 Saddle points and Mixed strategies. 9.2-9.3 Week 15 5/2 More Games and optimal mixed strategies. 5/4  Breath & Review for Final
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Assignments and recommended problems V```
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Spring, 200                                   COURSE INFORMATION                                          M.FLASHMAN
MATH 104   Finite Mathematics                                                                             TR 1230-1350 ART 027
OFFICE: Library 48                                                                                                        PHONE:826-4950
Hours (Tent.):  MTWR 10:15-11:30  AND BY APPOINTMENT or chance!

E-MAIL:flashman@axe.humboldt.edu           WWW: http://www.humboldt.edu/~mef2/
***Prerequisite: HSU MATH 42 or 44 or 45 or math code 40.

TEXT: Required. Finite Mathematics Applied to the Real World By Stefan Waner and Steven R. Costenoble (Harper Collins, 1996).
• Catalog Description: Logic, combinatorics, probability theory, and linear algebra; apply to problems from biological and social sciences and games of chance.
• SCOPE: This course will deal with the theory and application of what is often described as "finite mathematics." We will emphasize much of the linear algebra aspects of models for finite systems. This will cover primarily materials from chapters 1-6, 8, and possibly 9 from the textbook. Supplementary notes and text will be provided as appropriate.
• TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be several reality check quizzes, two midterm exams and a comprehensive final examination.
• Homework assignments are made regularly. They should be done neatly and  passed in on the due date. Homework is graded Acceptable/Unacceptable with problems to be  redone. Redone work should be returned for grading promptly.
• Exams will be announced at least one week in advance.
• THE FINAL EXAMINATION WILL BE SELF SCHEDULED.
• The final exam will be comprehensive, covering the entire semester.
• MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES! It is the student's responsibility to request a makeup promptly.
• *** DAILY ATTENDANCE SHOULD BE A HABIT! ***
• GRADES: Final grades will be determined taking into consideration the quality of work done in the course as evidenced primarily from the accumulation of points from tests and various  assignments.
•  Reality Quizzes 100 points 2 Midterm Examinations 200 points Homework 50 points Final Examination 200 points Total 550 points
• The total points available for the semester is 550. Notice that only 400 of these points are from examinations, so regular participation is essential to forming a good foundation for your grades as well as your learning.

• MORE THAN 2 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.
** See the course schedule for the dates related to the following:
• No drops will be allowed without "serious and compelling reasons" and a fee.
• Students wishing to be graded with either CR or NC should make this request to the Adm & Rec office in writing or by using the web registration procedures.
• Technology: The computer or a graphing calculator can be used for many problems. We may use X(PLORE) or MATRIX.  A version of X(PLORE) is available at the bookstore for  MAC based PC's along with the PC version we will use.Windows and DOS versions of X(PLORE) are also available online...X(PLORE) for Windows. Matrix by John Kennedy is designed particularly to help learn many finite mathematics applications using matrices on any PC. MATRIX can be obtained from me or downloaded from the Math Archives. Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.

• Another excellent on-line resource for many of the topics we will cover is the On - Line resources  connected with the text, Finite Mathematics Applied to the Real World.
• Graphing Calculators: Graphing calculators are welcome and highly recommended. We may use the HP48G for some in-class work though most graphing calculators will be able to do much of this work. HP48G's may be available for students to borrow for the term through me by arrangement with the Math department. Supplementary materials will be distributed if needed. If you would like to purchase one or have one already, let me know. I will try to help you with your own technology during office hours or by appointment (not in class).