Course Information

Spring 1996


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MTH 338: Non-Euclidean Geometry
MTH 437/537: General Relativity

Contact Information

Office hours: W 10:00 in Kidder 306 & Th 11:00 in MLC Lab (and by appointment)
Phone: 737-5159
Email: tevian@math.orst.edu

MTH 338: Non-Euclidean Geometry

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

    Exams:

  • 4/26/96: Midterm 1 (finite, neutral, hyperbolic, spherical)
  • 5/24/96: 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 (4/5/96): Send me email
  • Lab 1 (4/12/96): Construct Euclidean triangle
  • Lab 2 (4/19/96): Construct hyperbolic triangle
  • Lab 3 (5/3/96): Construct elliptic triangle
  • Lab 4 (5/10/96): Taxicab circles
  • Lab 5 (6/3/96): Desargues' Theorem

    Essay Assignments:

  • Due 4/15/96: Define non-Euclidean geometry
  • Due 5/10/96: Choose topic for project and explain why
  • Due 5/17/96: Project proposal
  • Due 5/31/96: Rough draft of project
  • Due at noon on 6/14/96: Final version of project

    Homework Assignments:

  • Due 4/22/96: Prove SASAS congruence for rectangles
  • Do by 5/10/96 (OPTIONAL): TG § 1:11bc and TG § 2:2,4,5
  • Do by 5/17/96 (OPTIONAL): TG § 3:7,15 and TG § 4:13ad

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    MTH 437/537: General Relativity

    Text:
  • Ray A. d'Inverno, Introducing Einstein's Relativity

    Suggested Reading:

  • Special Relativity: Skim Chapter 2 and read Chapter 3
  • Tensor Algebra: Skim Chapter 5
  • Tensor Calculus: Read § 6.1, § 6.3-6.5, § 6.8-6.12
  • Matter: Read § 12.1-12.4 and skim § 12.5-12.7
  • Field Equations: Read § 13.1-13.4 and skim § 13.5, § 13.7
  • Cosmology: Skim § 22.1-22.9 and read § 23.1-23.10
  • Symmetries: Read § 7.7 and § 14.1-5
  • Solar System Tests: Skim § 15
  • Black Holes: Read (or at least skim) § 16-19

    Homework Assignments:

  • Due 4/12/96: Explain pole and barn paradox
  • Due 4/19/96: Manipulating tensors (2 problems)
  • Due 4/26/96: Geodesics and curvature on a sphere
  • Due 5/24/96: Find non-hypersurface-orthogonal vector field
  • Due 5/31/96: Kepler's Law

    Exams:

  • Due at noon on 5/8/96: Midterm
  • Due at noon on 6/10/96: Final
    (See me if you would like to take the final early.)

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    tevian@math.orst.edu