Course Description

This course covers basic concepts of geometry and principles of logic. The concepts studied include line and angle relationships, parallel lines, triangles, quadrilaterals, circles, polygons, geometric algebra and trigonometry. Concepts of geometric reasoning, with an emphasis on constructions using computer software, are examined. It is important to develop the skill of combining well drawn graphics with appropriate text to build a concise, logical argument.

Credits: 3

Prerequisites: none

Additional Details

This course covers the basic concepts of plane geometry, constructs of logical reasoning and principles of geometric reasoning. The concepts studied include line and angle relationships, parallel lines, triangles, quadrilaterals, circles and polygons.  Truth tables and arguments are presented as constructs of logical reasoning.  Principles of geometric reasoning are examined through postulates, theorems, corollaries, constructions and applications. Euclid’s Elements in Books 1, 3, 4, 5, 6 and 8 is the basis of this material.

The goal of this course is primarily to develop logical thinking rather than skill in mathematical computation. This course differs from traditional courses by showing the underlying beauty and structure of mathematics as evidence of God’s creation and design.

The student is expected to submit weekly assignments, two major tests and a final exam. There is an online discussion forum to facilitate interaction among students and instructor.