Mathematics

Our program offers comprehensive year-long courses, divided into three 12-week sessions, as a replacement for traditional math curricula from grades 6 through 12. Designed to challenge and inspire young minds, our advanced math program builds a solid foundation in higher mathematics. Students explore abstract algebra, number theory, and combinatorics, engaging in problem-solving, real-world applications, and mathematical puzzles to foster critical thinking and analytical skills. With a deep understanding of mathematics, our students gain the confidence to excel academically and thrive beyond the classroom.

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YEAR 1: FOUNDATION

In this course we study the fundamentals of math: numbers and their operations. From various representations of numbers and their building blocks to geometric concepts and heuristic methods for mental math and estimation.

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YEAR 3: COMPUTATIONAL MATH

Projects utilizing computer algebra systems, technical writing, research skills. Topics include complex variables, computational geometry, matrix algebra.

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YEAR 5: CALCULUS

Pass the AP Calculus exam with ease. Differential and integral calculus. Applications to physical problems. Numerical methods for solutions of equations and interpolation. Theory of ordinary differential equations.

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YEAR 2: ALGEBRA

Pass standardized tests (SAT, ASVAB, State Tests) with ease. Symbolic thinking. Modeling. Solving Equations. Connections Between Algebra and Geometry. Functional Relations Between Quantities. Symmetry and Geometric Transformations.

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YEAR 4: ANALYTIC THINKING

Learn concepts of infinity essential to the study of calculus and beyond. Approximation and errors to understand the limits of computer calculations. Learn logic, proofs and deduction.

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YEAR 6: MATHEMATICAL METHODS

Projects utilizing computer systems, technical writing, research skills. Topics include vector analysis, complex analysis, linear algebra, physical applications of ordinary differential equations and partial differential equations.

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