Syllabus MAT 515 - Topics in Advanced Finite Mathematics


Instructor Eunice Krinsky Ph.D. Phones: office (310) 243-3391

Office: NSM A-115 home (310) 541-0901

FAX: (o) (310) 516-3627 E-Mail: ekrinsky@csudh.edu


Office Hours: MW 3:00 to 5:00 pm; and by appointment

Textbook:

Principles and Practice of Mathematics by COMAP, TI – 83

Prerequisite

Students must have graduate standing and must have completed one year of full time secondary mathematics teaching.

Course Description:

This course will increase students’ knowledge of the applications of modern mathematics by investigating areas of coding theory, combinatorics, graph theory, algorithms and the mathematics of social choice.

Course Outcomes:

Students will demonstrate:

  1. Understanding of the basic theory behind codes and be able to apply them to various areas such as compact disc technology, mapping the human genome, etc.

  2. Understanding of the uses of graph theory

  3. Understanding of the properties and algorithms of counting including permutations and combinations

  4. Understanding of the uses of mathematics in voting, fair division, and game theory and power

  5. Understanding of the current research in mathematical thinking and problem solving

  6. Knowledge of the applications of these modern mathematical ideas to the secondary classroom

Evaluation:

Tests: Tests will be equally weighted take-home exams. Students will be allowed to use any materials they wish to work the problems but cannot work with others, either from the class or elsewhere, to answer the questions. The exams are due at the beginning of class on the designated due dates.


GRADING Tests (3)

Homework

Readings/Attendance/Participation

Final Project

60%

15%

10%

15%

SCALE A = 100 – 93%; A- = 93 – 90%; B+ = 89 – 87% B = 86 – 83%; B- = 82 – 80%; C+ = 79 – 77%

C = 76 – 73%; C- = 72 – 70%; D = 69 – 60%; F < 60


Homework: Assignments consisting of problems from various sources will be due by 5:00 p.m. on the date announced in class

Final Project Information will be distributed at a class meeting.

Attendance: Regular attendance is strongly recommended. Participation points will be earned in class in cooperative learning groups. These points will only be earned during class time and participation is 5% of your grade.


Reading Review Assignment:

Additionally, you will be assigned readings. A one page write-up is required for each reading assignment and will be turned in the day it is due. The reading review assignment is due when the reading is to be discussed. Use the following format for your write-up: List three things you've learned from the reading, your reaction to the reading, and a question you would like me (or your peers) to answer. This write-up needs to be typed, double-spaced, one-page long with one-inch borders in 12 point times or courier font.

Academic Integrity: CSUDH expects students, staff, faculty, and administrators to show mutual respect and to adhere to scholastic honesty in the pursuit of intellectual, social and personal advancement. As an institution, CSUDH deplores cheating, fraud, plagiarism and any other type of academic dishonesty. CSUDH reserves the right to initiate a series of disciplinary measures or sanctions to secures academic integrity as described in the current CSUDH Catalog.

Pagers and Cell Phones

Pagers and mobile phones must be turned off or operate in silent mode during class hours. Under no circumstances are you to take a call during class. If the call is important, step outside the room!

Incomplete Grade (I)

A grade of Incomplete (I) may be assigned if you are unable to complete a definable portion of the class due to unforeseen circumstances. The student is responsible for applying for an Incomplete by completing the appropriate form before the week of finals. A grade of U (unauthorized incomplete) will be assigned if you did not withdraw from the course and you did not finish the course requirements.

Calendar The following outline is a schedule of which sections of the text will be discussed in class on the date listed. Changes in the schedule may occur from time to time. The student is encouraged to read the material both before and after the class discussion.


Date


Sections

Pages

Problems due for next session

Aug..

25

Codes 9.3

587-608

Assignment #1






Sept.

1

Holiday









8

Codes 9.3

587-608

Assignment #2







15

Combinatorics 4.1, 4.2

270-288

Assignment #3







22

Combinatorics 4.3

288-303

Assignment #4







29

Graphs & Algorithms Introduction

303-318

Take-home Exam #1 handed out






Oct.

6

Team meeting for Codes Unit









13

Graphs & Algorithms 5.1

Take-home exam #1 due

318-332

Assignment #5







20

Graphs & Algorithms 5.2

332-346

Assignment #6







27

Graphs & Algorithms 5.3

346-363

Assignment #7






Nov

3

Graphs & Algorithms 5.4

363-377

Take-home Exam #2 handed-out







10

Graphs & Algorithms 5.5


377-394

Assignment #8







17

Graphs & Algorithms 5.6

Take home exam #2 due


Assignment #9







24

Mathematics of Social Choice

Extra Chapter

Assignment #10






Dec.

1

Mathematics of Social Choice

Extra Chapter

Take-home Exam #3 handed-out






Dec.

8

Final Project Presentation









11

Take-home Exam #3 due




Revised: 4/25/04 Page