Course Summary

Making the connections: how and why mathematics affects the whole world

A basic understanding of the development and use of mathematics and its modern applications. The course is organized into three modules: (1) Mathematics History, (2) Pure in Mathematics, and (3) Applied Mathematics. 3 semester undergraduate credits will be awarded the student upon successful completion of the course. 

Objectives

Module 1

· Identify areas of the world significant to the development of mathematics and their contributions.

· Identify major mathematicians and recognize their contributions to the development of mathematics.

· Analyze the importance of the sequence of math development through time periods and explain possible outcomes if the sequence had been different.

· Identify branches of mathematics and classify theories and applications to the appropriate branches.

Module 2

· Recognize function of mathematics properties, mathematics logic, and advanced mathematics.

· Categorize examples from each unit in the module (decimals, fractions, ratios, proportions, data analysis, operations, theory, circuits, algebra, geometry, analysis) to the appropriate mathematics property, logic, or advanced concept.

· Give examples of real-world uses of each area of pure math.

Module 3

· Select correct definition for selected concepts of binary and hexadecimal numbers, integrals and floating points, and computer languages.

· Select correct definition for selected concepts of graphs and trees, finite mathematics, and measurement.

· Identify real-world applications of graphs, finite mathematics, and measurement.

· Identify meaning of selected concepts of statistics, physics, and engineering.

· Analyze and explain the relationship between pure math and applied mathematics. Use specific examples.

Credit for the course will be awarded with successful completion of three examinations and two essays.  Each graded element is valued at 20 percent.

Resources

Online resources are linked in the online syllabus.  Additionally, the following textbook has been adopted to support the course.  You will find it to be good resource for one of the two required essays.  If you make a substitution, we recommend that you draw from the works listed under Extended Resources (or similar titles).

Boyer, Carl B. and Uta C. Merzbach. A History of Mathematics. 3rd ed. Wiley, 2011. 688 pages. $25.20

ISBN: 978-0470525487