Syllabus | Notes

CHESTNUT HILL COLLEGE

Survey of Mathematics -- UEMA 109

Instructor: Jim Greene Home Phone: 215-332-9032

E-Mail (files) [email protected] or [email protected]

Web Page http://jimgreene.homestead.com and http://www.chc.edu/uema109

Text and Calculator: Mathematical Ideas by Miller, Heeren, and Hornsby.

Course Objective:

To study basic elements of mathematics and their application to everyday situations. Topics include problem solving strategies and techniques, elementary set theory, mathematical logic, elementary number theory, introduction to algebra, financial mathematics, geometry, right triangle trigonometry, probability theory, and elementary statistics. Emphasis will be placed on problem solving strategies as they are applied to the life sciences, human services, and criminal justice administration environments.

COURSE REQUIREMENTS:

Tests and Grades

Attendance/Class Participation 20 points

Project 30 points

Quizzes 25 points (Approx. every other class. Lowest grade dropped)

Final Exam 25 points

Final Project

The project may be based on a topic related to an individual's line of business, another college level course, or topic of personal interest. You should make every effort to use actual data whenever possible. If you use company data make sure that you have management approval.

The project will account for 30% of the final grade and is to consist of the following parts:

  1. Application of mathematics 10%
  2. Technical paper 10% (3 - 5 pages, 12 point word-processed, professional style)
  3. Presentation 10% (length: 10 - 15 minutes)

Application of mathematics refers to the depth that the material covered in the course is used in your project. The purpose of the project is for you to apply the course material to an actual real world application to provide an added dimension. Your project should illustrate the use of all the major components: problem solving techniques, number theory, algebra, statistics and use of technology,

The technical paper should consist of an introduction in which you state the subject on which you are conducting the study or the problem you are solving, a description of how you performed the task, and a conclusion summarizing the results of your study and what you learned from the experience. Use diagrams and charts to support your work.

The presentation can be in a style of your choice. Assume that you are presenting the project to senior management, an audience at a convention in which you are the keynote speaker, or in a job interview. Be creative, however every aspect should be professionally done. And, above all, have fun doing the project.

 

 

Topics for Discussion

Please read Chapter 1 in preparation for class on August 28.

  1. The Nature of Problem Solving: (Inductive and Deductive Reasoning)
  2. Elementary Set Theory: How we Group and Categorize Things
  3. Mathematical Logic: How do Mathematicians Think?
  4. Numeration Systems: The Role of Numbers in Mathematics
  5. Types of Numbers: The Real Number System
  6. Basic Concepts of Algebra: Why do we need Algebra?
  7. Rectangular Coordinate System
  8. Geometry: Perimeter, Area, Volume
  9. Right Triangle Trigonometry
  10. Methods of Counting Numbers
  11. What is Statistics? Elementary Statistics
  12. Elementary Probability: The Odds of Winning
  13. Putting it all Together
  14. Project Presentations and Review
  15. Final Exam and Summary

 

Examination Policy:

There will be no make-up on quizzes. The lowest quiz score will be dropped. Make-up on the final exam will only be given if documented proof is provided to the instructor as to the circumstances causing the absence.

 

**No assignments will be accepted after the last scheduled class meeting.

 

chcmath.rtf, 10/17/00

 

Notes

 

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