Syllabus |
Projects |

*In mathematics you don't
understand things. You just get used to them*.

-- John von Neumann, Nobel Prize winner.

**Time and Place:**5:00-6:15 pm MW at 509 Smith Hall.**Instructor:**Peter Saveliev (call me Peter)**Office:**778F Smith Hall (in the alley)**Office Hours:**TR 3-6**Office Phone:**x4639**Home Phone:**697-7827 (9 a.m. - 8 p.m.)**E-mail:**saveliev@marshall.edu (put Math 491 as the subject)**Class Web-Page:**http://users.marshall.edu/~saveliev/m491.htm and Introductory algebraic topology.**Prerequisites:**Good knowledge of linear algebra as well as some fundamentals of group theory (Math 450), in particular, quotient groups, properties of Abelian groups, and examples.**Text:***Computational Homology*by Tomasz Kaczynski, et al**Short Description:**Cubical sets and cubical homology. Simplicial complexes and simplicial homology. Homology of maps. Degree theory. Fixed points. Applications: Image processing and recognition; Structure of proteins; Topology of data structures; Topology of networks; Computational topology.**Grade Breakdown:**

- weekly assignments: 30%

- midterm: 20%

- final presentation: 20%**Letter Grades:**A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: <60

- final exam/essay/project: 30%