A comprehensive textbook covering precalculus topics. Specific topics covered include trigonometry, complex numbers, vectors, and matrices. Includes many problems from the AIME and USAMO competitions.

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This course is for students who have completed our beginner level math courses.

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.

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

Unit Circle, Radians, graphs, transformations of trig functions, and inverse trig

Sum and differences, double and half, sum-to-product identities

Law of cosines, law of sines

Parameterization, polar coordinates

Arithmetics of complex numbers, complex plane

Trig ratios in exponential form, roots of unity

Definition, dot product, lines and linear dependence

Lines and Planes in three dimensions

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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. 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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