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Courses

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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  • Mathematical Modeling

    Mathematics is more than just numbers and symbols on a page. Applications of mathematics are indispensable in the modern world. Math can be used to determine whether a meteor will impact Earth, predict the spread of an infectious disease, or analyze a remarkably close presidential election. In this course, students create and evaluate mathematical models to represent and solve problems across a broad range of disciplines, including political science, economics, biology, and physics.

    Students begin with a review of some of the core mathematical tools in modeling, such as linear functions, lines of best fit, and exponential and logarithmic functions. Using these tools, students examine models such as those used in population growth and decay, voting systems, or the motion of a spring. Students also learn how to use Euler and Hamilton circuits to find the optimal solutions in a variety of real-world situations, such as determining the most efficient way to schedule airline travel. A introduction to probability and statistics lead into a study of using deterministic versus stochastic models to predict the spread of an epidemic and explore classic mathematical problems such as the traveling salesman problem, birthday paradox, and light switching problem.  Students are introduced to logic proofs by induction and contradiction.  Students leave this course familiar with all steps of the modeling process, from defining the problem and making assumptions, to assessing the model for strengths and weaknesses.

    Mathematical Secrets of Shapes and Colors

    Mathematics is everywhere around us—even where we least expect it! In this course, students explore the connection between mathematics and art, discovering how mathematical thinking is reflected in artistic expression across different historical periods. Through the study of colorful paintings by renowned artists and the geometry and aesthetics of ancient Greek pottery, children are introduced to key mathematical concepts in a meaningful and engaging context.

    Students participate in hands-on, creative activities that involve shapes, patterns, symmetry, proportions, and color relationships. They analyze selected works of art to identify the underlying mathematical structures that organize them and then apply these concepts by creating their own artistic compositions.

    The goal of the course is to help students understand that mathematics extends beyond numbers and calculations: it is a creative and culturally rich way of thinking that supports problem-solving, visual literacy, and artistic expression, while fostering an appreciation for beauty, imagination, and cultural heritage.

    Numbers: Zero to Infinity

    How can you calculate the height of my school? How can I design a map? How many ingredients will I need to make cookies for 7 people? Or maybe for 97? How tall is a person that is 5 feet tall? Students explore numbers, from the very small to the unimaginably large, and learn how numeric representations help to explain natural phenomena such as time, distance, and temperature.  Moving beyond traditional arithmetic, this course centers on hands-on activities that develop understanding of the scope and scale of numbers.

    Learning Objectives:

    • Explain, classify, and operate on different types of numbers, ranging from very small to very large numbers.
    • Solve problems and justify real-world solutions involving decimals, exponents, negative numbers, proportions, and ratios.
    • Utilize various measurement tools and techniques.
    • Apply strategies of rounding, estimating, and mental calculations to solve real-world problems.
    • Share and articulate ideas and solutions to problems, both written and orally, independently and in groups.

    Principles of Engineering Design

    What is the difference between science and engineering? What are the techniques that must be applied for successfully tackling any engineering challenge, from designing and building a bed-side table to conceptualizing and sending a shuttle to space? How can a group of engineers efficiently compartmentalize a multi-system project, allocate tasks and optimize the budget provided to solve a multifaceted constructional problem? This course explores a range of topics from physics and science and bridges the gap between pure theoretical knowledge and its practical application. Through daily doses of lectures, class discussions, problem-solving and plentiful hands-on lab activities, the students will be exposed to an array of concepts, varying from Newtonian dynamics and circuitry to fluid dynamics and thermal physics and through their application, complete engineering tasks of progressively increasing complexity. 

    Learning objectives:

    • Apply concepts from various topics of physics into practical constructional projects with strict requirements, aimed at tackling specific problems of varying complexity and constraints.
    • Train in the engineering design process, practical problem-solving and collaborative teamwork to complete assigned engineering design and production tasks. 
    • Develop and train a variety of technical skills, including detailed technical drawings of projects, precision soldering of electronic components and wood work skills. 

    Probability and Game Theory

    Game theory
    What do a prime minister, a general, an athlete, a lawyer, a businessman, a psychologist, a spouse and a biologist have in common? Game Theory deals with the study of the behavior of rational beings (those who decide and act on the basis of their logic and “interest”), in situations where they compete or cooperate with others.  Therefore, all of us are faced daily with difficult problems that are at the core of Game Theory, which in conjunction with Mathematics, is indispensable in the understanding of social sciences, including economics, sociology, environmental studies, and psychology.

    Probability
    Uncertainty is prevalent in our lives. Everyday questions, such as what’s the weather going to be this weekend and whether it’s worth playing a game of chance, or larger-scale questions like how the global climate changes, and how an epidemic develops, or even more exotic ones, such as what is the possibility of life on other planets or the risk of the earth being hit by a celestial body, cannot be answered with complete certainty. Through mathematics and probability theory we can study uncertainty and analyze these situations. 

    In this course, we deal with the fundamental concepts of theory and harness its power to study games between people, companies, states and other entities when faced with situations of uncertainty. Students play games, study and analyze them and are led to the most innovative scientific ideas, to make strategic decisions, thereby increasing their profit and/or reducing their damage!

    Learning Objectives

    • Review and apply the fundamentals of probability to solve mathematical problems, develop an understanding of the theoretical foundations for fundamental models in game theory and model certain types of human behavior in competitive decision-making situations.
    • Examine and find the balance (solution) in zero-sum, non-zero sum, signaling, cooperative games, simultaneous and sequential games and utilize real-life and computer simulations to test theories and justify conclusions.
    • Share ideas and solutions to problems, both written and orally through individual exercises and collaborative projects or tournaments.

    Superhero Academy

    Save humanity, join the Superhero Academy!

    Much like Superman and Batman, our Superhero Academy students are called upon to complete missions to help save humanity. In this interdisciplinary course, we will form a literary community and utilize disciplines such as technology, chemistry, psychology, literature, art, engineering, and sociology in the fight against crime, and in an effort to protect civilians against evil super-villains. Each mission will help us develop our vocabulary, creativity, critical thinking, and writing and presentation skills. Then, in order to graduate from CTY Greece’s Superhero Academy, we will create our own secret superhero identity, and engage in an original battle against threats of destruction. Superhuman powers, time traveling, tech novelties, architectural marvels, behaviors, motivations and code of ethics come alive, to form unique characters, extraordinary settings and epic stories! 

    Learning Objectives:

    • Read, analyze, and discuss works of superhero fiction.
    • Practice writing personal narratives, instructional texts, descriptive articles and opinion pieces.
    • Utilize the tools introduced and skills learned in the course to compose four works of creative writing.
    • Engage in the writing workshop process, editing and revising work based on feedback from the instructor and your peers.