MA341 -- Topics in Geometry

Course Information

• Syllabus
• Course Notes (Updated frequently)
• Summary of Class (Updated frequently)
• Blackboard at UK
• Suggestions on Approaching Mathematics

Some Course Materials

• Handout on Lines
• Handout on SETI
• Trailer for the Movie "Contact"
• Collinearity Test (GeoGebra file)
• Handout on Toves and Borogoves
• Handout on Committees
• Handout on Geometrical Worlds
• Handout on Relationships Among Geometrical Worlds
• Handout on Polyhedra
• Photo of Polyhedra (Thanks to Megan Alvey)
• Cube with Tetrahedron (SketchUp file)
• Octahedron (SketchUp file)
• Cube with Cuboctahedron(SketchUp file)
• Handout on the Unit Circle and Basic Trigonometric Identities
• Handout on More Trigonometric Identities
• Multiplying by a 2x2 Matrix (GeoGebra file)
• Adding Vectors (GeoGebra file)
• Multiplying Vectors (GeoGebra file)
• Powers of Ten Video
  • A Question of Scale
  • Cosmic Scale
  • The Scale of the Universe
  • Cosmic Eye iPad App
• Modeling a Simple Planet (GeoGebra file)
• Scott Kim's Ambigram Handout
• Isometry Identification Problems
  • Isometry 1 (GeoGebra file)
  • Isometry 2 (GeoGebra file)
  • Isometry 3 (GeoGebra file)
  • Isometry 4 (GeoGebra file)
  • Isometry 5 (GeoGebra file)
  • Isometry 6 (GeoGebra file)
  • Isometry 7 (GeoGebra file)
  • Isometry 8 (GeoGebra file)
• Handout on Transformation Matrices

Assignments

• Homework #1
• Homework #1 Solutions
• Homework #2
• Homework #2 Solutions
• Homework #3
• Homework #3 Solutions
• Exam #1 Review
• Homework #4
• Homework #4 Solutions
• Homework #5
• Homework #5 Solutions
• Homework #6
• Homework #6 Solutions
• Exam #2 Review
• Homework #7
• Homework #7 Solutions
• Homework #8
• Homework #8 Solutions
• Exam #3
• Final Exam Review

Other Resources

• Books and Articles

  • Euclid's Elements
  • The Foundations of Geometry by Hilbert
  • SMSG Texts (High School textbooks)
    • SMSG Geometry Parts I and II Summary
    • Geometry, Part I
    • Geometry, Part II
    • Geometry With Coordinates, Part I
    • Geometry with Coordinates, Part II
    • Analytic Geometry
  • Common Core State Standards Initiative
    • Common Core State Standards for Mathematics
  • History of Geometry (Wikipedia)
  • Wolfram MathWorld

• Software and Apps

  • GeoGebra
    • GeoGebra Quickstart
    • iPad App
  • GeoGebra 5 Beta with 3D
  • SketchUp
    • Using SketchUp
    • Jessie Clark SketchUp Project
  • Wingeom
  • The Geometer's Sketchpad
  • Cabri
  • Spherical Easel
  • NonEuclid
  • Blender
  • POV-Ray
  • WolframAlpha
  • Some iPad Apps

• Miscellaneous

  • BBC In Our Time: Godel's Incompleteness Theorems
  • Game of SET
    • Physical game
    • SET Pro HD iPad app
  • Mathematics Education and Outreach Resources