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.

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This course is for students who have completed our Introduction to Algebra course.

This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.

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

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. Concepts covered in this course include **Java syntax**, types and **identifiers**, **operators**, **if statements**, **loops**, **arrays** and more.

Students will apply these concepts to create fun games such as **Tic-Tac-Toe**.

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