|
Catalog Description: |
The course is designed to introduce students to systematic,
mathematical thinking as it applies to classical problems in the
history of mathematics and as it connects to modern society.
Meets the General Education Mathematical Sciences requirement. (Offered each semester.)
|
| Prerequisites: |
None (knowledge of high school algebra is assumed)
|
|
Required Course Materials: |
Instructors use one of the following textbooks in the course:
Peter Tannenbaum, Excursions in Modern Mathematics, 7th edition, Prentice Hall, 2010 (ISBN 13-978-0-321-56803-8)
COMP, For All Practical Purposes: Mathematical Literacy in Today's World, 8th edition, W. H. Freeman, 2008 (ISBN-13: 978-1429209007)
|
|
Course Coordinator: |
Angela C. Hare, Ph.D., Professor of Mathematics
|
|
Course Audience: |
|
The typical course audience is students majoring in behavioral
sciences, social sciences, languages, fine arts, and elementary
education.
|
|
Course Objectives: |
- To acquire an appreciation for the patterns of mathematics and
their inherent beauty.
- To develop an understanding and appreciation for the
distinctive methods and modes of reasoning of the mathematical
sciences.
- To improve problem solving skills of many types.
- To develop competency in the process of making appropriate
conjectures, finding suitable means to test those conjectures and
drawing conclusions about their validity.
- To recognize the human origins of mathematics through the
integration of historical material related to various other course
topics.
- To develop skill in communication of mathematical ideas
through class discussion and short expository written exercises.
- To recognize the interplay of the algebraic/verbal and
geometric/visual aspects of mathematics and to learn to exploit
them in concert for deeper understanding of concepts and problems.
General Education Objectives for the Mathematical Sciences
Courses:
- To introduce students to the methods and philosophy of the
mathematical sciences.
- To introduce students to at least one of the three
mathematical sciences of computing, mathematics and statistics
from a liberal arts perspective.
- To help students develop logical, analytical, and abstract
thinking through quantitative problem solving activities.
- To integrate student use of the computer as a tool in the
pursuit of the above objectives.
|
|
Topics: |
This course is designed to introduce students to systematic,
mathematical thinking as it applies to classical problems in the
history of mathematics and as it connects to modern society. We
will study topics in some or all of the following areas:
- Management science: planning, scheduling, producing
efficiently.
- Statistics: producing and exploring data, understanding
probability, statistical inference.
- Coding information: using numbers for identification and
transmitting information.
- Social choice: election methods, weighted voting, fair
division.
- Consumer finance models.
- Size and shape: symmetry and patterns, tiling the plane.
- Logic.
|
| |