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The focus of the course is to give an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected but assumes a familiarity with linear algebra and finite groups. Topics were chosen to show the power of techniques in algebraic combinatorics.<br>See More: https://bit.ly/2HqbolW
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5/17/2019 Basic Concepts Of Algebraic Combinatorics - Edukite HOME / COURSE / MATHEMATICS / BASIC CONCEPTS OF ALGEBRAIC COMBINATORICS Basic Concepts Of Algebraic Combinatorics ( 7 REVIEWS ) 943 STUDENTS The focus of the course is to give an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is … TAKE THIS COURSE https://edukite.org/course/basic-concepts-algebraic-combinatorics/ 1/9
5/17/2019 Basic Concepts Of Algebraic Combinatorics - Edukite FREE 1 YEAR LEVEL 2 - CERTIFICATE COURSE BADGE COURSE CERTIFICATE 19 NUMBER OF UNITS 0 NUMBER OF QUIZZES 3 HOURS, 45 MINUTES HOME CURRICULUM REVIEWS The focus of the course is to give an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected but assumes a familiarity with linear algebra and ?nite groups. Topics were chosen to show the power of techniques in algebraic combinatorics. Rigorous mathematical proofs, rational generating functions and Recurrence relations and Adjacency and Laplacian matrices of graphs are expected in this course. 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 https://edukite.org/course/basic-concepts-algebraic-combinatorics/ 2/9
5/17/2019 Basic Concepts Of Algebraic Combinatorics - Edukite Course Credit: MIT COURSE CURRICULUM Introduction to course, walks on graphs, rational generating functions and Fibonacci numbers 00:10:00 Partially ordered sets II Dilworth’s and Sperner’s theorem 00:10:00 Partially ordered sets III the Mobius function 00:10:00 Introduction to partitions and two proofs of Euler’s theorem 00:15:00 Partitions II Euler Pentagonal theorem and other identities 00:10:00 Proof of Schensted’s theorem 00:10:00 An introduction to symmetric functions 00:15:00 Symmetric functions II 00:15:00 Polya theory III, intro to exponential generating functions 00:10:00 Exponential generating functions and tree enumeration 00:10:00 Tree enumeration II 00:10:00 Eulerian tours II 00:10:00 Chip ?ring games I 00:20:00 Chip ?ring games II the critical group 00:20:00 Chip ?ring games III proof of uniqueness 00:20:00 https://edukite.org/course/basic-concepts-algebraic-combinatorics/ 3/9
5/17/2019 Basic Concepts Of Algebraic Combinatorics - Edukite Perfect matchings and Domino tilings 00:10:00 Lattice path enumeration II 00:20:00 Assessment Submit Your Assignment 00:00:00 Certi?cation 00:00:00 COURSE REVIEWS 4.7 7 ratings 0 5 STARS 0 4 STARS 0 3 STARS 0 2 STARS 0 1 STARS NO REVIEWS FOUND FOR THIS COURSE. https://edukite.org/course/basic-concepts-algebraic-combinatorics/ 4/9
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