Course Information

Spring 1997


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MTH 338: Non-Euclidean Geometry


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Email: tevian@math.orst.edu


MTH 338: Non-Euclidean Geometry

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Course Description
Essay Topics
Advice on writing a math essay

Texts:

  • Wallace & West, Roads to Geometry (RG)
  • Krause, Taxicab Geometry (TG)
  • Exams:

  • 4/25/97: Midterm 1 (finite, neutral, hyperbolic, spherical)
  • 5/23/97: Midterm 2 (hyperbolic, elliptic, taxicab)
  • Reading Assignments:

  • Week 1: Skim RG § 1.1-1.2 and read RG § 1.3-1.4
  • Week 2: Read RG § 2.6 and/or Appendix D and skim RG § 3.2-3.4
  • Week 3: Skim RG § 3.5-3.6 and read RG § 6.2-6.3 & § 6.6
  • Week 4: Skim RG § 6.8
  • Week 5: Read RG § 6.8
  • Week 6: Read TG § 1-3
  • Week 7: Read TG § 4-5
  • Week 8: Skim RG § 6.4 and read RG § 6.5
  • Week 9: Read RG § 7.1-7.2 and skim RG § 7.3-7.5
  • Lab Assignments: (due anytime before the subsequent lab)

  • Lab 0 (4/4/97): Send me email
  • Lab 1 (4/11/97): Construct Euclidean triangle
  • Lab 2 (4/18/97): Construct hyperbolic triangle
  • Lab 3 (5/2/97): Construct elliptic triangle
  • Lab 4 (5/9/97): Taxicab circles
  • Lab 5 (6/6/97): Desargues' Theorem
  • Essay Assignments:

  • Due 4/14/97: Define non-Euclidean geometry
  • Due 5/9/97: Choose topic for project and explain why
  • Due 5/16/97: Project proposal
  • Due 5/30/97: Rough draft of project
  • Due at noon on 6/13/97: Final version of project
  • Homework Assignments:

  • Due 4/21/97: Prove SASAS congruence for quadrilaterals
  • Do by 5/9/97 (OPTIONAL): TG § 1:11bc and TG § 2:2,4,5
  • Do by 5/16/97 (OPTIONAL): TG § 3:7,15 and TG § 4:13ad
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