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.
Then Zmiaikou did postdoctoral research in DNA analysis at the Wellcome Trust Sanger Institute in the United Kingdom.
The objective of the course is to provide a vivid introduction to probability theory by uncovering its basic notions and techniques. Some of them have applications in computer science (e.g. Monte Carlo methods)
SKILLS:
- Algorithms
- Combinatorics
- Data Analysis
- Discrete Optimisation
- Dynamical Systems
- Geometry
- Group Theory
- Software Engineering
- Web Design
DATE: 8 Apr - 26 Apr, 2019
DURATION: 3 Week
LECTURES: 3 Hours per day
LANGUAGE: English
LOCATION: Barcelona, Harbour.Space Campus
COURSE TYPE: Offline
WHAT YOU WILL LEARN
ABOUT DAVID
HARBOUR.SPACE
Probability theory plays a significant role in science, finance and industry. Whenever there is a non-deterministic experiment, one would like to describe possible outcomes and to measure their likelihoods (in other words, to find their probabilities). During this course, we will give an elementary outline of probability with examples and applications. We will start by explaining relevant counting tools and strategies, then we will introduce probability and give useful properties. Discrete and continuous random variables will be studied by means of their distribution functions.
DAVID ZMIAIKOU
HARBOUR.SPACE UNIVERSITY
DATE: 8 Apr - 26 Apr, 2019
DURATION: 3 Weeks
LECTURES: 3 Hours per day
LANGUAGE: English
LOCATION: Barcelona, Harbour.Space Campus
COURSE TYPE: Offline
All rights reserved. 2017
COURSE OUTLINE
Session 1
Basic Counting Strategies
Session 2
Combinations and Permutations
Session 3
Sample Spaces and Events
Session 4
Probability: Concept and Properties
COUNTING & ELEMENTARY PROBABILITY
COUNTING &
ELEMENTARY
PROBABILITY
BIBLIOGRAPHY
Schaum's Outline of Probability and Statistics, 4th Edition by John Schiller, R. Alu Srinivasan, Murray Spiegel, McGraw-Hill (McGraw-Hill, 2008)
A Path to Combinatorics for Undergraduates: Counting Strategies by Titu Andreescu, Zuming Feng (Birkhäuser, 2004)
Fifty Challenging Problems in Probability with Solutions (Dover Books on Mathematics) by Frederick Mosteller (Dover Publications, 1987)