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Creative Problem Solving for Math Competitions
This intensive course will cover the most frequently tested topics in major math contests, chiefly targeting the American Mathematics Competition (AMC) 10/12 and preparation for the American Invitational Mathematics Examination (AIME). We will engage in advanced problem-solving across key mathematical domains: Geometry: Exploration of triangles, quadrilaterals, circles, and coordinate geometry. Algebra & Functions: Advanced topics from Algebra I and II, including sequences, logarithms, and complex numbers. Trigonometry: Essential trigonometric identities and applications. Number Theory: Foundations and advanced concepts critical for competitive success. Combinatorics & Probability: Mastering counting principles and probability calculations.
Finding Your Passion in Health Professions
Healthcare professionals remain in high demand, and career opportunities are expected to grow by 30% over the next ten years. But which healthcare path is right for you? In this experiential program offered by Stony Brook University’s School of Health Professions, you will learn about advancing career options and discover what it takes to become a successful member of today’s interprofessional healthcare team.
Exploring Mathematics
In this week-long course, you will explore intriguing extensions of high school mathematics that are often overlooked or covered only at a surface level. Guided by Polya’s problem-solving process, we will investigate a variety of engaging problems that provide context for the mathematical ideas we examine. Topics will include the history of numbers; discrete mathematics and probability (including geometric probability); different types of infinity and the cardinality of sets; basic number theory; the convergence and divergence of infinite series; and an introduction to mathematical proof, including methods such as Induction and Proof by Contradiction.
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