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Algebraic Topology Online Training - Edukite

The aim of the Algebraic Topology Online Training is to show how basic geometric structures may be studied by transforming them into algebraic questions that are then subject to computations, thus measuring geometric and topological complexity.<br>See More: https://bit.ly/2UG9aae

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Algebraic Topology Online Training - Edukite

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  1. 4/16/2019 Algebraic Topology Online Training - Edukite HOME / COURSE / TECHNOLOGY / VIDEO COURSE / ALGEBRAIC TOPOLOGY ONLINE TRAINING Algebraic Topology Online Training   ( 9 REVIEWS ) 497 STUDENTS The aim of the is to show how basic geometric structures may be studied by transforming them into algebraic questions … TAKE THIS COURSE FREE  1 YEAR https://edukite.org/course/algebraic-topology-online-training/ 1/10

  2. 4/16/2019 Algebraic Topology Online Training - Edukite  LEVEL 2 - CERTIFICATE  COURSE BADGE  COURSE CERTIFICATE 42 NUMBER OF UNITS 0 NUMBER OF QUIZZES  1 DAY, 4 HOURS     HOME CURRICULUM REVIEWS The aim of the Algebraic Topology Online Training is to show how basic geometric structures may be studied by transforming them into algebraic questions that are then subject to computations, thus measuring geometric and topological complexity. These methods are often used in other parts of mathematics, and also in biology, physics and other areas of application. The course is meant to give a basis for studies in topology, geometry, algebra, and applications. Assessment This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work. Certification Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of the assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certi?cate at a cost of £49. Having an Of?cial Edukite Certi?cation is a great way to celebrate and share your success. You can: Add the certi?cate to your CV or resume and brighten up your career Show it to prove your success   Course Credit: Open Culture  COURSE CURRICULUM https://edukite.org/course/algebraic-topology-online-training/ 2/10

  3. 4/16/2019 Algebraic Topology Online Training - Edukite Module: 01   AlgTop0: Introduction to Algebraic Topology 00:30:00   AlgTop1: One-dimensional objects 00:32:00   AlgTop2: Homeomorphism and the group structure on a circle 00:52:00   AlgTop3: Two-dimensional surfaces: the sphere 00:42:00   AlgTop4: More on the sphere 00:41:00   AlgTop5: Two-dimensional objects- the torus and genus 00:49:00   AlgTop6: Non-orientable surfaces—the Mobius band 00:42:00   AlgTop7: The Klein bottle and projective plane 00:40:00   AlgTop8: Polyhedra and Euler’s formula 00:45:00   AlgTop9: Applications of Euler’s formula and graphs 00:42:00 Module: 02   AlgTop10: More on graphs and Euler’s formula 00:48:00   AlgTop11: Rational curvature, winding and turning 00:48:00   AlgTop12: Duality for polygons and the Fundamental Theorem of Algebra 00:45:00   AlgTop13: More applications of winding numbers 00:27:00   AlgTop14: The Ham Sandwich theorem and the continuum 00:36:00   AlgTop15: Rational curvature of a polytope 00:50:00 https://edukite.org/course/algebraic-topology-online-training/ 3/10

  4. 4/16/2019 Algebraic Topology Online Training - Edukite   AlgTop16: Rational curvature of polytopes and the Euler number 00:35:00   AlgTop17: Classi?cation of combinatorial surfaces I 00:50:00   AlgTop18: Classi?cation of combinatorial surfaces II 00:59:00   AlgTop19: An algebraic ZIP proof 00:42:00 Module: 03   AlgTop20: The geometry of surfaces 00:44:00   AlgTop21: The two-holed torus and 3-crosscaps surface 00:39:00   AlgTop22: Knots and surfaces I 00:52:00   AlgTop23: Knots and surfaces II 00:38:00   AlgTop24: The fundamental group 00:43:00   AlgTop25: More on the fundamental group 00:35:00   AlgTop26: Covering spaces 00:54:00   AlgTop27: Covering spaces and 2-oriented graphs 00:31:00   AlgTop28: Covering spaces and fundamental groups 00:47:00   AlgTop29: Universal covering spaces 00:48:00 Module: 04   AlgTop30: An introduction to homology 00:47:00   AlgTop31: An introduction to homology (cont.) 00:41:00 https://edukite.org/course/algebraic-topology-online-training/ 4/10

  5. 4/16/2019 Algebraic Topology Online Training - Edukite   AlgTop32: Simplices and simplicial complexes 00:49:00   AlgTop33: Computing homology groups 00:41:00   AlgTop34: More homology computations 00:43:00   AlgTop35: Delta complexes, Betti numbers and torsion 00:48:00 Module: 05   AlgTopReview: An informal introduction to abstract algebra 00:49:00   AlgTopReview2: Introduction to group theory 00:47:00 AlgTopReview3: More on commutative groups—isomorphisms, homomorphisms, cosets and quotient groups   00:32:00   AlgTopReview4: Free abelian groups and non-commutative groups 00:51:00 Assessment   Submit Your Assignment 00:00:00   Certi?cation 00:00:00 COURSE REVIEWS 4.7   https://edukite.org/course/algebraic-topology-online-training/ 5/10

  6. 4/16/2019 Algebraic Topology Online Training - Edukite 9 ratings 0 5 STARS 0 4 STARS 0 3 STARS 0 2 STARS 0 1 STARS NO REVIEWS FOUND FOR THIS COURSE. RELATED COURSES https://edukite.org/course/algebraic-topology-online-training/ 6/10

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  8. 4/16/2019 Algebraic Topology Online Training - Edukite Modern Construction Materials FREE 364   497 STUDENTS ENROLLED https://edukite.org/course/algebraic-topology-online-training/ 8/10

  9. 4/16/2019 Algebraic Topology Online Training - Edukite BEST RECOMMEND COURSES 1909: The People’s Budget   ( 9 REVIEWS ) 1253 STUDENTS 21st Century Marketing   ( 6 REVIEWS ) 720 STUDENTS 70-697 – Con?guring Windows Devices   ( 7 REVIEWS ) 1334 STUDENTS SUBSCRIBE TO OUR NEWSLETTER Get top tips & guidance from our in-house study abroad experts Your Email Submit USEFUL LINKS About Terms & Conditions Privacy Policy Cookie Policy Contact INQUIRY https://edukite.org/course/algebraic-topology-online-training/ 9/10

  10. 4/16/2019 Algebraic Topology Online Training - Edukite  3 Lower Thames Street,London,EC4R 6HE.  020 3934 9675  info@edukite.org COPYRIGHT © BY EDUKITE     https://edukite.org/course/algebraic-topology-online-training/ 10/10

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