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 YOUWILL 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.

DAVIDZMIAIKOU

HARBOUR.SPACEUNIVERSITY

**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 & ELEMENTARYPROBABILITY

**COUNTING &**

**ELEMENTARY**

**PROBABILITY**

BIBLIOGRAPHY

Schaum's Outline of Probability andStatistics,4th Edition by John Schiller,R. Alu Srinivasan,Murray Spiegel,McGraw-Hill(McGraw-Hill, 2008)

A Path to Combinatorics forUndergraduates: Counting StrategiesbyTitu Andreescu, Zuming Feng(Birkhäuser, 2004)

Fifty Challenging Problems in Probabilitywith Solutions (Dover Books onMathematics)by Frederick Mosteller(Dover Publications, 1987)

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