Mathematics (Geometry & Number Theory)
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General Information:
Students will take an assessment test prior to the camp and will be grouped into 2 groups: the Pythagoras group and the Fermat group. The Pythagoras group will expect teaching materials similar to AMC8 /10 level. The Fermat group will expect teaching materials similar to AMC12/AIME/JMO level. Both groups will take geometry and number theory courses, each for 5 lectures of 1 week. Dr. Pavlo Pylyavskyy will lead the Geometry course. This course will cover the topic of geometric transformations, which is a powerful tool for solving geometry problems. The course should be accessible to strong middle and high school students. Each lecture will start at a rather basic level, and will progress towards more advanced topics towards the end. Dr. Yifeng Yu will lead five lectures of Number Theory. He will (I) go over significant concepts/theorems/tricks and (II) present major types of problems including math proofs that appear in math competitions. |
Course Outlines for 5 lectures of Geometry and 5 lectures of Number theory:
Geometry Fermat group:
Number Theory
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Business for Youth
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Dr. Jingwei Meng will led the business for youth course. MBA for Youth Program (M4Y*) is specially designed for students in middle schools and high schools. The goals are to help students learn how to assess business risks, improve their capabilities to collaborate with other team members, and master their skills of a set of business tools. Students will be divided into 7-person team to form their own company. Class limit 28.
* Supported by Melody Culture Foundation – a 501(c)(3) not-for-profit organization |
Completion of MBA for Youth Program will lead to following achievements and milestones:
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Writing
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Mr. Jonathan West will teach a scientific writing course. According to scientist and communications expert Monica I. Feliu-Mojer, "when scientists communicate more effectively, science thrives." Scientists need to communicate with many audiences. The purpose of this course is to equip students with a writing process they can use to communicate clearly and persuasively with a broad audience. Students will plan, draft, and revise two papers, one informational and one persuasive, on technical subjects.
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Key concepts for 10 lectures:
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Biology
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Dr. Baiqing Wang and Mr. Joseph Dong will lead the biology course. This course will cover the 10 main areas of biology. It will help students to develop an appreciation for the study of life, identify and understand unifying principles within a diversified biological world. Our lectures are designed to deliver the fundamental concepts and principles of biology through the investigation of biological phenomena, theories, researches and experimental methods. Students will improve problem solving skills, and acquire more strategic ways of thinking, as well as a better understanding of the connections biology has to daily lives, society, culture, technology and other sciences.
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Course Outline for 10 lectures:
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Computer Science
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Mr. Zhezheng Luo will lead an Intermediate USA Computing Olympiad (USACO) training course at the Silver+ levels. Students are required at USACO Silver level or higher, or something else suggesting you have reached that level e.g. Codeforces rating 1700+, NOIP 300+. Students are required to have previous coding experience in C++ or python. C++ is the recommended language. Students in this group need to submit the 2019-2020 contest score for their Silver or Gold levels.
Mr. Haokuan Luo will lead an Introduction to USACO training course at the Bronze level. Programming background is not required, but students should have a math level equivalent to at least Algebra I in school with a high grade. Participation in Math Olympiad would be especially helpful for understanding the level of computational problem-solving skills involved in this course. |
Introduction to USACO for 10 lectures:
This class assumes no programming experience. It will talk about coding in C with some C++ templates and will focus on writing fast, correct programs that qualify in Olympiad Informatics. You should be expected to learn:
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Intermediate USACO for 10 lectures:
This is an intermediate USACO training course that emphasizes on algorithms, their implementations, and complexity analysis. We will go through topics in Olympiad Informatics including divide-and-conquer, dynamic programming, graph algorithms, string algorithms, and data structures. Typically we will talk about algorithms and their implementations, and discuss their applications by discussing some related problems. |
Physics
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Dr. Yi Zhou will lead the Introduction to F=ma course. This class is for students who are preparing to take the F=ma exam in January 2021. Students should have taken AP Physics 1 or are currently enrolled in a AP Physics 1 class. This summer course will give students a head start for the F=ma contest.
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Course Outline for 10 lectures
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