Chance plays an important part in all aspects of life.

We take chances every day: will a shot at goal land in the goal or miss? Will we be caught in a sudden shower or not? How long do we need to wait to be served in our favourite burger house?

Chance or random variation is also a central feature of all working systems: a scientist taking measurements in a lab; a disease spreading through a population; an economist studying price fluctuation. In all these processes some element of chance or randomness are present.  Is it possible to understand and therefore model and analyse such phenomena? If so, what are the tools we need to achieve that? Do we live in a world of randomness, or, as Einstein famously claimed, no one plays dice with the universe?

During this course, we will attempt to “tame randomness” using mathematics as our compass. 

Learning objectives:

• Develop a robust theoretical understanding of the basics of probability theory. 
• Develop the capability to identify the underlying randomness in real life problems, and decide how to model and quantify it.
• Gain an in-depth understanding of the basic technical tools needed in applied probability.
• Make use of random variables and theoretical probability distributions to model simple random processes (Η).

Welcome to the enchanting world of mathematical thinking! In this course, yοu will embark on a magical journey where numbers, shapes, and patterns come to life through the power of mathematical thinking.

Through captivating stories, interactive games, and hands-on activities, you will uncover the beauty and wonder of mathematics. You will learn to see the world through a mathematical lens, discovering the hidden patterns and structures that surround you every day.

From exploring the symmetry of nature to unraveling the mysteries of prime numbers, you will engage in a variety of activities designed to stimulate their curiosity and creativity. You will develop problem-solving skills as they tackle mathematical puzzles and challenges, learning to approach problems with imagination and ingenuity.

Join us on this magical adventure where mathematical thinking sparks curiosity, inspires creativity, and opens doors to endless possibilities!

Learning Objectives:

• Define and distinguish between inductive, deductive, and abductive reasoning, providing examples of each.
• Explore and explain the relationship between number patterns and geometry, using both explicit and recursive formulas.
• Be introduced to symbolic logic by constructing and interpreting truth tables.
• Solve problems using algebraic, geometric, and symbolic representations and different models.
• Cultivate skills to enhance cooperation, creativity, critical thinking, flexibility.