Campus: | Ohio University, Athens Campus |
---|---|

Department: | Mathematics |

Academic Year: | 2016 - 2017 |

Term: | Spring Semester |

Course: | Math 3980T |

Title: | Mathematics Tutorial in Geometry |

Section: | 101 (Class Number 14706) |

Instructor: | Mark Barsamian |

Contact Information: | My contact information is posted on my web page. |

Office Hours: | By appointment. |

**Course Description: **This course could be described most succinctly as a College Geometry II course. Using Euclidean Geometry as a point of departure, the course gives an introduction to modern geometries. Topics include Euclidean Rigid Motions, Inversions, Hyperbolic Geometry (Half-Plane model and Poincare Disc model), Complex Numbers and Rigid Motions, Elliptic Gometry, Differential Geometry.

**Prerequisites: **MATH 3110 College Geometry, and 3rd-year status in Honors Tutorial College (HTC)

**Syllabus: **For MATH 3980T Section 101 (Class Number 14706), this web page replaces the usual paper syllabus.

**Calendar for 2016 - 2017 Spring Semester MATH 3980T Section 101 (Class Number 14706)**

Week | Dates | Topics |
---|---|---|

1 | Mon Jan 9 - Fri Jan 13 | Review of Euclidean Geeometry |

2 | Mon Jan 16 - Fri Jan 20 | Euclidean Rigid Motions |

3 | Mon Jan 23 - Fri Jan 27 | Inversions |

4 | Mon Jan 30 - Fri Feb 3 | The Hyperbolic Plane |

5 | Mon Feb 6 - Fri Feb 10 | Euclidean Versus Hyperbolic Triangles |

6 | Mon Feb 13 - Fri Feb 17 | The Angles of the Hyperbolic Triangle |

7 | Mon Feb 20 - Fri Feb 24 | Hyperbolic Area |

8 | Mon Feb 27 - Fri Mar 3 | The Trigonometry of the Hyperbolic Triangle |

9 | Mon Mar 6 - Fri Mar 10 | Spring Break |

10 | Mon Mar 13 - Fri Mar 17 | Absolute Geometry and the Angles of the Triangle |

11 | Mon Mar 20 - Fri Mar 24 | Spherical Trigonometry and Elliptic Geometry |

12 | Mon Mar 27 - Fri Mar 31 | Differential Geometry and Gaussian Curvature |

13 | Mon Apr 3 - Fri Apr 7 | The Cross-Ratio and the Unit Disk Model |

14 | Mon Apr 10 - Fri Apr 14 | The Beltrami-Klein Model |

15 | Mon Apr 17 - Fri Apr 21 | Spheres and Horospheres |

(page maintained by Mark Barsamian, last updated January 17, 2017