Competitive Mathematics Prep

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Course Description

Description

This course is designed to extend skills in problem solving, to foster mathematical creativity, and to introduce the fundamentals of proof. Students learn to think at an advanced level as they tackle challenging problems.

Topics addressed in this course will draw from:

• number theory
• set theory
• algebra
• geometry

Each week, students explore a different math topic or problem-solving strategy in depth, and practice both non-routine and contest problems. Additionally, they will learn to create inductive and deductive proofs, with a focus on the proper use of notation and terminology and precision in their writing. The web-based virtual classroom provides interactive and team-building experiences for students.

Materials Needed

There are no required materials for this course.

List of Topics

The following topics will be covered in the course:

• Patterns, Sequences and Series
• Sets and Venn Diagrams
• Numbers and Counting
• Primes and Factorizations
• Rational, Real, and Complex Numbers
• Exponents and Roots
• Modular Arithmetic and Bases
• Relations and Functions
• Angles, Triangles, and Triples
• Coordinate Geometry
• Circles

Virtual Classroom Session Times

Session Times

This course uses an online virtual classroom with text, drawing, and video tools to hold group discussions.

The instructor holds a virtual classroom session each week on Tuesday, 8:00 PM to 9:00 PM EST.

Instructions and details are posted on the course website for enrolled students.

Virtual Classroom Demo

Demo

Click on the image below to view a demo of Adobe Connect:

System Requirements

All CTYOnline courses require a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer). Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).

This course uses an online classroom for individual or group discussions with the instructor. The classroom works on standard computers with the Adobe Flash plugin, and also handhelds that support the Adobe Connect Mobile app.