Categories and functors, homotopy of paths, homotopy of maps, fundamental groups, higher homotopy groups, homology of complexes, chain homotopy, standard simplices, the singular complex, singular homology, excision theorem, Mayer-Vietoris sequences, applications of homology.
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| Dönem | Course CPA | |
|---|---|---|
| 2024-2025 Spring | 3.71 | 1 sec · 8 öğr |
| 2022-2023 Spring | 3.70 | 1 sec · 1 öğr |
| 2018-2019 Spring | 2.27 | 1 sec · 10 öğr |
| 2016-2017 Fall | 3.81 | 1 sec · 7 öğr |
| 2014-2015 Fall | 3.76 | 1 sec · 10 öğr |
| 2012-2013 Fall | 4.00 | 1 sec · 6 öğr |
| 2010-2011 Fall | 3.56 | 1 sec · 9 öğr |
| 2008-2009 Fall | 3.54 | 1 sec · 5 öğr |
Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.
Course Learning Outcomes: Course Learning Outcome Assessment Summarize the necessary facts and techniques from arithmetic, algebra, and point-set topology Midterm:Essay/written Midterm:Essay/written Final:Essay/written Apply homotopy-theoretical methods to geometric problems Midterm:Essay/written Midterm:Essay/written Final:Essay/written Compute homotopy and homology groups Homework Recognize problems of homotopy-theoretical nature Oral presentation Restate geometric problems in homotopy-theoret
Categories, Functors, Natural Transformations Homotopy of maps, fundamental group, Higher homotopy groups CW-complexes, simplicial complexes, manifolds Homological algebra Homological algebra Singular complex, homology of a space, cohomology of a space Singular complex, homology of a space, cohomology of a space cellular complex, homology of a CW-complex, cohomology of a CW-complex cellular complex, homology of a CW-complex, cohomology of a CW-complex cross product, cup product, cap product fibrations, fibre bundles cohomology and homology of manifolds cohomology and homology of manifolds cohomology and homology of manifolds ECTS - Workload Table: Activities Number Hours Workload Midterm exam 2 2 4 Final exam 1 2 2 Preparation for Final exam 1 20 20 Individual or group work 14 2 28 Course hours 14 3 42 Homework 4 6 24 Preparation for Midterm exam 2 15 30 Total Workload: 150 Total Workload / 30: 150 / 30 5 ECTS Credits of the Course: 5 Type of Course: Lecture - Independent Study Teaching Methods: Lecture - Independent study