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Courses

Explore our wide range of courses, filtered by age, program type, and exam profile. Whether you’re interested in verbal or quantitative subjects, we have something to challenge and inspire you.

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  • Counting without Counting

    One of the first things we learn in our life is counting. How difficult or easy is it though? How can seemingly complex mathematical concepts be helpful or necessary in order to efficiently count when it is not practically possible to count the objects one by one?

    Discrete Mathematics and especially Combinatorics answer such questions using patterns, colorings, graphs and many other such tools. Some of them, such as the Fibonacci numbers, can be found in nature and art, but strangely also find application in kilometers-miles conversions or express the number of ways someone can climb a ladder going up one or two steps at a time.

    In this course students will explore applications of Combinatorics in other sciences such as Computer Science and Economics, but also come in touch with problems from Mathematical Olympiads and riddles. They will also develop the ability to use abstract ways of thinking in real-life scenarios, and see applications of Discrete Mathematics in problems that scientists are called to solve.

    Cryptology

    Cryptology is the study of the codes and ciphers used to create secret writing. In this math course, students begin their journey with an exploration of many early techniques for creating secret writing, such as cipher wheels, the Caesar shift, polyalphabetic substitution, and the Vigenère cipher. They move on to learn about modern techniques including RSA public key cryptography, as students explore how data transmitted by computers can be secured with digital encryption. Discussions about the vulnerabilities of each encryption system enable students to attack and decrypt messages using techniques such as frequency analysis and cribbing. Students apply the concepts learn to encrypt and decrypt their own secret messages.

    Though the course’s central focus is on the mathematics of cryptology, the historical context of cryptography and cryptographic devices is provided to further develop an understanding of this branch of mathematics. For example, students examine the design and fallibility of the Enigma Machine, one of the most important cryptographic devices in history.

    CSI @ CTY

    Hey there future, detectives! Are you ready to dive into the exhilarating world of forensics’ science and crack some mind-bending cases? Throughout this interactive course, aspiring young detectives will embark on a journey to understand how chemical analysis plays a crucial role in solving crimes. From analyzing mysterious substances to deciphering hidden clues at crime scenes, you’ll learn the essential skills used by forensic chemists to crack even the toughest cases.

    Fingerprint lifting, blood typing, hair, fiber, soil and food analysis are just some of the criminalistics that will be introduced! You’ll learn everything about fundamental but nifty techniques that help CSI investigators sniff out clues and identify the perpetrator, such as titration, chromatography, spectroscopy, DNA electrophoresis. But wait, there’s more! Did you know that forensic scientists can determine a person’s age by analyzing their bones? You’ll explore the fascinating world of forensic anthropology and learn how to estimate the age and gender of skeletal remains—just like a real-life bone detective.

    Your skills will be put to the test as you tackle thrilling crime scenarios, from mysterious burglaries to dastardly poisonings. You’ll work in teams to collect and analyze evidence, follow leads, and catch the culprit before they strike again!

    So, if you’re ready to unlock the secrets of forensics and become the ultimate crime-solving superstar, join us in “CSI @CTY ” and prepare for the adventure of a lifetime! Because with a little chemistry know-how, anything is possible!

    Learning Objectives:

    • Collect, handle and analyze different types (fingerprints, blood, DNA, fibers, glass, bullets, etc) of evidence
    • Identify, perform and report scientifically, analytical chemistry techniques 
    • Write a forensics report using data to support findings reached after reviewing the available evidence.
    • Understand chemistry topics needed for the proposed forensic skills 

    Data and Chance

    You meet a new friend at CTY who teaches you a dice game. The rules are simple: if you roll a 4, you win and the game ends. If your friend rolls a 5, she wins and the game ends. You take turns rolling until one person wins. If you roll first, what is the probability that you will win the game? There are several ways to solve this problem, and the answer is not obvious.

    In this course, students develop a greater understanding of probability and statistics, two areas of mathematics that easily transfer from the classroom to the real world. Students conduct experiments and generate data which they display in graphs, charts, and tables in order to compare the effects of particular variables. For example, students might analyze data to examine how various design characteristics of a paper airplane, such as weight or length, affect the distance it will travel. In addition, students consider other data sources, including newspapers and journals, and identify examples of incorrectly gathered or misrepresented data that have been used to mislead consumers or influence voters.

    Students also explore probability, the study of chance, to learn how to use numerical data to predict future events. Students examine permutations and combinations; develop strategies for calculating the number of possible outcomes for various events; calculate probabilities of independent, dependent, and compound events; and learn to distinguish between theoretical and experimental probability.

    Epidemiology: Understanding Global Health

    What does epidemiology study? How does a pandemic start? How does mathematics allow us to calculate the risk of such an occurrence? How do vaccines provide protection and how safe are they? Is it possible to predict and prevent future epidemics?

    During the course, students take on multiple roles. They become epidemiologists, researchers, microbiologists and even public health policy-makers, in order to investigate scientific data, examine cases of pandemics that have occurred in the past, study the epidemiological course of infectious diseases, learn about the most dangerous microorganisms for our health, and seek new ways to prevent and treat, always based on science and technology.

    The purpose of such activities is to offer students a holistic understanding of the concept of health and how it connects to social and environmental factors. In addition, students become familiar with different research tools that are being used in the above areas and have the opportunity to develop their analytical and critical thinking skills on important issues concerning public and individual health.

    Food Power: Highway to Health

    What is kombucha and why is it a point of discussion? Is producing meat on a petri dish a viable option? How would you design a new product and what are its technical specifications? Students are introduced to the magical world of food through a variety of exciting activities and experiments!

    Inspired by Aristotle’s saying, “we are what we eat”, the journey begins by exploring food groups, discovering their impact on both personal well-being and the health of the planet. Equipped with the tools to decipher nutrition labels, students learn to make informed, healthy food decisions and adopt sustainable eating habits. Key issues such as the sourcing of critical raw materials and the development of sustainable food production systems are also examined, promoting a holistic understanding of the role of nutrition for a healthier future.

    Students analyze global trends in nutrition, try fermented foods and alternative protein sources, learn how taste tests are done in modern laboratories and in the industry, and design their own products. Using laboratory experiments and their “detective” skills they detect and isolate microorganisms in food and decide whether it is safe for consumers. Through discussions and experiments, students gain a deep understanding of environmental and social challenges, reflect on the need for sustainable practices and choices in food production, taste foods from around the world, and work as food researchers.

    Learning Objectives

    • Study and thoroughly check food labels and their nutritional information.
    • Practice laboratory techniques used in the field of food and nutrition science and their role in industry.
    • Create scientific posters, develop innovative ideas and design and present new products.
    • Understand scientific terms such as probiotics, gut microbiome, fermented foods.
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