This class will build on concepts learned in the Pre-Calculus and Introduction to Calculus courses. Students will learn advanced concepts that include polynomials, inequality, radicals, and functions. This class is designed to expand on the Algebra and Pre-Calculus curriculum to introduce students to the problem solving strategies required for success on the AMC and AIME competitions.

Solving system of equations by substitution and elimination

Definition of functions, graph of functions, composition, and inverse functions

Arithmetics of complex numbers, complex plane

Factoring, Vieta’s formulae, discriminant, quadratic inequalities

Parabolas, Circles, Ellipses, Hyperbolas

Division, synthetic division, remainder theorem

Factor Theorem, Fundamental Theorem of Algebra

Irrational and complex roots, Vieta’s Formula

Grouping, sums and differences of powers

Arithmetic series and sequences, geometric series and sequences, summation and product notation

Brute Force, Induction, Binomial Theorem

Trivial and AM-GM inequality, Cauchy Schwarz inequality

Exponential Functions, Properties of Logarithm

Working with expressions with radicals, conjugates

Rational Function, even and odd functions, monotonic functions

Piecewise functions, absolute value, floor and ceiling

Recursive Sequences, Telescoping series

Rearrangement Inequality

Solving functional equations with substitution, separation

Solving problems by exploiting the symmetry in the problem, substitution, using undetermined coefficients

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Recruited from top universities and leading IT companies

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AGES 10 - 15

Designed for beginners, this level is designed to teach the basic fundamentals and design principles of Python, with the help of Turtle graphics and PyGame. This includes: **variables**, **conditional statements**, **loop basics**, and **functions**.

These concepts are transferable to any other programming language. Throughout the way, students will create projects in order to apply the concepts they have learned, and to solidify their knowledge.

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AGES 10 - 15

Level 2 dives **deeper** into the basics of Python for a more thorough understanding and introduces advanced topics. Students will build on knowledge from Level 1 and work with **data structures**, **advanced loops**, **algorithms**, and **object-oriented** programming, and create games based on what they learn.

Students will complete the course with a solid understanding of Python fundamentals.

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AGES 10 - 15

This **beginner-friendly** course serves as an introduction to the Java programming language. Students will learn the fundamentals of Java along with core computer science concepts.

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