Instructor


Jeffrey O. Bauer

107 Carhart Science

Phone: 402-375-7334

Email: jebauer1@wsc.edu


Course Description: The course presents a formal axiomatic development of neutral and Euclidean geometry with an emphasis on valid arguments. Non-Euclidean geometry will also be investigated.


Textbook: Basic Geometry Jeffrey O. Bauer, (2007). Wayne State College


College Geometry: A Discovery Approach, 2E. Kay, David, (2001). Addison Wesley: Boston, MASS. (ISBN: 0-321-04624-2)


Course Syllabus

Course Outline


  1. Points, Lines, Segments, & Angles
    1. Axiomatic Systems
    2. Models
    3. Incidence Geometry
    4. Metrics
    5. Angle Measures
    6. Basic Convexity
  2. Triangles, Quadrilaterals, & Circles
    1. Triangles & SAS Hypothesis
    2. SAS, ASA, SSS Congruence
    3. Exterior Angle Inequality
    4. Inequality
    5. Congruence
    6. Quadrilaterals
    7. Circles
  3. Euclidean Geometry
    1. Parallelism, Rectangles
    2. Parallel Projection
    3. Similar Triangles & Trigonometry
    4. Regular Polygons
    5. Circle Theorems
    6. Area & Volume
    7. Modern Geometry
  4. Non-Euclidean Geometries
    1. Foundations
    2. Hyperbolic Geometry
    3. Two Models
    4. Circular Inversion
    5. Spherical Geometry