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Intake every 3 weeks! There is no "application deadline" — you can start any upcoming module!Intake every 3 weeks! — apply anytime!
Studies
Admissions
The Institute
Resources
Intake every 3 weeks! There is no "application deadline" — you can start any upcoming module!Intake every 3 weeks! — apply anytime!
Studies
Admissions
The Institute
Resources

Combinatorics & Graphs - 1

Barcelona Campus
Mar 11, 2019 - Mar 29, 2019
The main objects of this course are graphs. Graphs are highly useful and adaptable mathematical structures.
Barcelona Campus
Mar 11, 2019 - Mar 29, 2019
David Zmiaikou

Faculty

David Zmiaikou

PhD, Lecturer at the Belarusian State University

Course length

3 weeks

Duration

3 hours
per day

Total hours

45 hours

Credits

60 ECTS

Language

English

Course type

Offline

Fee for single course

€1500

Fee for degree students

€750

Skills you’ll learn

Charity WorkIdeation
OverviewCourse outlineCourse materialsPrerequisites

Overview

The main objects of this course are graphs. Graphs are highly useful and adaptable mathematical structures. They have their origins in many disciplines, and their area of application is even wider — from information theory and engineering to ecology and sociology. The course provides basic terminology, ideas and methods on graphs. Trees (connected acyclic graphs) form a special class that we will study in more detail. We will also introduce combinatorial notions and methods which will allow us to enumerate graphs and trees.

Learning highlights

  • The main goal of the course is to understand the concept of a graph and the concept of a tree, and to learn different techniques of studying them. This will be very helpful for more advanced courses in combinatorics and computer science, due to the crucial role of graphs in data representation.

Course outline

4 classes

Dive into the details of the course and get a sense of what each class will cover.
Monday
Tuesday
Wednesday
Thursday
Friday
Monday
1

Session 1

Binomial Coefficients

Tuesday
2

Session 2

Permutations

Wednesday
3

Session 3

Bijective Proofs

Thursday
4

Session 4

Introduction to Graphs

Prerequisites

This course is one of three in a wholistic series.

Students that have already taken MSL-111 and those with prior experience with HTML, CSS, and Javascript building simple web pages will be good candidates for this module.

David Zmiaikou

Faculty

David Zmiaikou

PhD, Lecturer at the Belarusian State University

David Zmiaikou graduated from the Ecole Polytechnique in France, and obtained his Ph.D. degree at the University Paris-Sud under the supervision of Professor Jean-Christophe Yoccoz (Fields Medal).

After that, he did his postdoctoral research in Mathematics in Rio de Janeiro, Vienna, Zurich, Bures-sur-Yvette and Bonn, and worked in DNA Analysis at Sanger Institute near Cambridge.

See full profile

Apply for this course

Snap up your chance to enroll before all spaces fill up.

Combinatorics & Graphs - 1

by David Zmiaikou

Total hours

45 Hours

Dates

Mar 11 - Mar 29, 2019

Fee for single course

€1500

Fee for degree students

€750

How to secure your spot

Complete the form below to kickstart your application

Schedule your Harbour.Space interview

If successful, get ready to join us on campus

FAQ

Will I receive a certificate after completion?

Yes. Upon completion of the course, you will receive a certificate signed by the director of the program your course belonged to.

Do I need a visa?

This depends on your case. Please check with the Spanish or Thai consulate in your country of residence about visa requirements. We will do our part to provide you with the necessary documents, such as the Certificate of Enrollment.

Can I get a discount?

Yes. The easiest way to enroll in a course at a discounted price is to register for multiple courses. Registering for multiple courses will reduce the cost per individual course. Please ask the Admissions Office for more information about the other kinds of discounts we offer and what you can do to receive one.