MA341 -- Topics in Geometry

Course Information

• Syllabus
• Course Notes (Updated frequently)
• Isometry Problems I
• Functions
• Area and Volume Problems
  • Area and Volume Problem Solutions Some solutions to the above problems but be aware the problem numbers are DIFFERENT
• Log of Class Activities (Updated frequently)
• Blackboard at UK
• Suggestions on Approaching Mathematics

Assignments

• Homework #1 Due August 29
• Homework #2 Due September 5
• Homework #3 Due September 12
• Review for Exam #1 on September 19
• Homework #4 Due October 1
• Homework #5 Due October 10
• Review for Exam #2 on October 17
• Homework #6 Due October 31
• Homework #7 Due November 9
• Review for Exam #3 on November 16
• Homework #8 Due December 5
• Review for Final Exam on December 12

Other Resources

• Books and Articles

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

• Software and Apps

  • GeoGebra
    • GeoGebra Quickstart
    • Matrix Times Vector (GeoGebra file)
    • Matrix Times Vector (Web applet)
    • Constructing an Equilateral Triangle (Short video made with Jing)
    • Parametric Equation of Line (GeoGebra file)
    • Parametric Equation of Line (Web applet)
    • Constructing a Parametric Line (Short Jing video)
    • Unit Circle Trig (GeoGebra file)
    • Unit Circle Trig (GeoGebra applet)
    • Matrix Action (GeoGebra file)
    • Matrix Action (GeoGebra applet)
    • Isometry 1 (GeoGebra file)
    • Isometry 1 (GeoGebra applet)
    • Isometry 2 (GeoGebra file)
    • Isometry 2 (GeoGebra applet)
    • Isometry 3 (GeoGebra file)
    • Isometry 3 (GeoGebra applet)
    • Isometry 4 (GeoGebra file)
    • Isometry 4 (GeoGebra applet)
    • Isometry 5 (GeoGebra file)
    • Isometry 5 (GeoGebra applet)
    • Isometry 6 (GeoGebra file)
    • Isometry 6 (GeoGebra applet)
    • Isometry 7 (GeoGebra file)
    • Isometry 7 (GeoGebra applet)
    • Isometry 8 (GeoGebra file)
    • Isometry 8 (GeoGebra applet)
  • GeoGebra 5 Beta with 3D
  • Wingeom
  • The Geometer's Sketchpad
  • Cabri
  • Spherical Easel
  • NonEuclid
  • SketchUp
    • Using SketchUp
    • Jessie Clark SketchUp Project
  • Blender
  • POV-Ray
  • Wolfram MathWorld
  • WolframAlpha
  • Jing (To make short videos)
  • Dropbox (For sharing files across computers)
  • Some iPad Apps
  • Cybrary Man's Educational Web Sites -- iPad Apps

• Miscellaneous

  • Trailer for the Movie "Contact"
  • Animusic
    • Pipe Dreams
  • BBC In Our Time: Godel's Incompleteness Theorems
  • Game of SET
    • Physical game
    • SET Pro HD iPad app
  • Engines of our Ingenuity radio program
    • Descartes
  • Origami Proof of the Pythagorean Theorem
  • Mathematics Education and Outreach Resources
  • Wff'n Proof Games
  • Scale of the Universe
  • A Question of Scale
  • Powers of Ten Video
  • Cosmic Voyage Video
  • Powers of One -- xkcd
  • NCTM Research Clips and Briefs
  • Conic Sections SketchUp file -- Doubleclick a plane and move it with the Move tool (drag a corner)
  • Doodling in Math Class: Infinity Elephants
  • Origin of the Terms Sine, Cosine, Tangent, etc.
  • How the Trig Functions Got Their Names
  • The Math Forum @ Drexel
  • Dave's Short Trig Course
  • NCTM Illuminations
    • Distance to Horizon -- NCTM Illuminations Activity
  • POV-Ray examples (Free ray-tracing software)
  • Theodolite problem
  • Core Math Tools from NCTM
  • Ambigram handout from Scott Kim
  • Music video illustrating superposition and repetition
  • Smarter Balanced Sample Items
  • Isometry Problems I
  • National Library of Virtual Manipulatives
  • Scott Kim's NCTM Talk on Symmetry
  • Data and Story Library
  • Mathed Potatoes
  • Green Bean Matherole
  • Area of Circle
  • Unrolling a Circle (GeoGebra file)
  • Scaling a Cube Building (SketchUp file)
  • On Being the Right Size
  • Flatland
  • Geometry in Utopia
  • Illustrative Mathematics

  Interesting Websites

  • Bluegrass Undergraduate Mathematics Symposium at Centre College
  • Jabberwocky (Source of toves, borogoves, and gimble)
  • Martin Gardner Celebration October 26