FOUNDATIONS OF MATHEMATICAL REASONING
DAVID ZMIAIKOU
We offer innovative university degrees taught in English by industry leaders from around the world, aimed at giving our students meaningful and creatively satisfying top-level professional futures. We think the future is bright if you make it so.
Combinatorics and graph theory lay at the heart of discrete mathematics and computer science. In the course, we begin with a brief review of the fundamentals of combinatorics---counting, permutations, binomial coefficients, and the pigeonhole principle---and then devote most of the course to the fundamentals of graph theory. We cover the most common definitions and ideas of graph theory, proving important theorems and introducing important algorithms, but mostly aiming to simply establish the common language of discrete mathematics and computer science.
Several years ago, David Zmiaikou obtained his Ph.D. degree at the University Paris-Sud (Orsay) under the supervision of Professor Jean-Christophe Yoccoz. After that, he visited the mathematical institute IMPA in Rio de Janeiro thanks to the Balzan research project of Professor Jacob Palis.
As a part of David's European Post-Doctoral Institute (EPDI) fellowship, he worked at:
• Erwin Schrödinger Institute for Mathematical Physics, Vienna, Austria
• Institute for Mathematical Research, Zürich, Switzerland
• Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France
• Max Planck Institute for Mathematics Bonn, Germany
Afterwards, David did postdoctoral research in DNA analysis at the Wellcome Trust Sanger Institute in the United Kingdom.
One of the goals of the course is to provide necessary background and tools for studying further more profound courses.
More importantly, students will learn how to approach a large variety of mathematical problems by reasoning logically and abstractly.
SKILLS:
- Algorithms
- Combinatorics
- Data Analysis
- Discrete Optimization
- Dynamical Systems
- Geometry
- Group Theory
- Software Engineering
ABOUT DAVID
HARBOUR.SPACE WHAT YOU WILL LEARN
DATE: 15 Oct - 02 Nov, 2018
DURATION: 3 Weeks
LECTURES: 3 Hours per day
LANGUAGE: English
LOCATION: Barcelona, Harbour.Space Campus
COURSE TYPE: Offline
HARBOUR.SPACE UNIVERSITY
RESERVE MY SPOT
DATE: 15 Oct - 26 Oct, 2018
DURATION: 3 Weeks
LECTURES: 3 Hours per day
LANGUAGE: English
LOCATION: Barcelona, Harbour.Space Campus
COURSE TYPE: Offline
All rights reserved. 2018
COURSE OUTLINESession 1
Elements of Logic
Session 4
Functions: Basic Terminology
Session 3
Numbers: Real Line
Session 2
Sets: Operations and Relations
FOUNDATIONS OF MATHEMATICAL REASONING
This course is an introduction to mathematical thinking and techniques of proof. During the course, basic notions and notations will be given. We will encounter sets, relations, functions, real and complex numbers, modular arithmetic, and polynomials.
In order to study this subjects efficiently and to be able to obtain exact results, students will be exposed to different techniques of formal proof. These will in particular be mathematical induction, arguing by contradiction, equivalence and pigeonhole principle.
Why is there such an emphasis on digital marketing in business today? How has digital marketing changed the relationship between customers and businesses? What’s the relationship between digital marketing and content marketing?
These are the foundational questions we’ll dig into during this two-week session.Course projects may become a building block for students’ Capstone Project / product
This course is required for all digital marketing students, both graduate and undergraduate
BIBLIOGRAPHY
