This is the **syllabus** for Topics in Geometry.

__Instructor__

__Classroom__

__Text__

*Geometry & Topology*, by Miles Reid & Balazs Szendroi (Main)

__Other references __

*Modern Geometry*, by James Smart

*Introduction to Geometry*by H.S.M. Coxeter

*Notes on Geometry*Elmer Rees

__Office Hours__

__Grading__

__Homework__

In most of the homework you will be writing proofs. As always in mathematics, your proofs should be written in complete sentences. The goal of the proof should be to explain not to verify. Pictures and diagrams are encouraged. A selection of problems will be graded. If a problem is to be graded, it will be graded as follows.

You are welcome to work with your classmates on problem sets but your final writeup must be your own. Do not look up solutions to the problem in any written form, including the internet. You are encouraged to ask me questions about the problem sets.

__Presentations__

You will be asked to present examples, problems and theorems at the board. Many will also be assigned as written homeowork, some will be theorems from the text. Grades will be given using the homework rubric above.

__Exams__

The examinations will be a combination of in-class and take-home projects.

__Course Description__

We will develop Euclidean, projective and hyperbolic geometry using tools of elementary algebra and analysis.

__Other Resources__

**Euclidean Geometry**- Desmos Geometry App
- Euclid's
*Elements*Online by David Joyce - Oliver Byrne's 1847 Edition of the
*Elements*. Here's a sample. - Geometry Applets from cut-the-knot.org. A huge collection of interactive constructions, including:

**Hyperbolic Geometry**- From the (now-defunct) Geometry Center:
- Models of the Hyperbolic plane, including Minkowski, Poincare, Klein
- Hyperbolic geometry links from the Geometry Junkyard (includes both 2- and 3-dimensional hyperbolic geometry).

**Writing Tips**

__Learning Outcomes__

Upon successful completion of this course students will be able to:

*Evaluation of these learning outcomes will be done through a mix of assignments, class exercises, projects, research papers, group work, written & oral quizzes and exams.*

__University Policies__

** Academic Honesty**: Cheating is not only unethical and pathetic, but is a violation of the Northern Michigan University Student Code and University Policy and grounds for your dismissal from the University.

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** Americans with Disabilities Act Statement**:
If you have a need for disability-related accommodations or services, please inform the Coordinator of Disability Services in the Dean of Students Office at 2001 C. B. Hedgcock Building (227-1737 or disserv@nmu.edu). Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.

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