Mathematics (Geometry & Number Theory)
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 the AMC8/10 level. The Fermat group will expect teaching materials similar to the AMC12/AIME/JMO level. Both groups will take geometry and number theory courses, each for 5 lectures of 1 week.
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 the AMC8/10 level. The Fermat group will expect teaching materials similar to the AMC12/AIME/JMO level. Both groups will take geometry and number theory courses, each for 5 lectures of 1 week.
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Geometry
Dr. Pavlo Pylyavskyy will lead the geometry course. For the younger group, the course will cover the basics of geometry: angles, triangles, parallel lines, equality of triangles. It will introduce students to making rigorous geometric arguments. The course should be accessible to strong elementary and middle school students. For the older group, the course will cover the main tools used in geometry proofs: angle chasing and similar triangles. The course should be accessible to strong middle and high school students. In both cases each lecture will start at a rather basic level, and will progress towards more advanced topics towards the end. |
Number Theory
Dr. Jiangang Yao and Mr. Frank Lu will give 5 lectures on number theory of two different levels. The Pythagoras group will go over divisibility rules, factorization, etc. For the Fermat group, some famous theorems like little Fermat's Theorem will be introduced to get a taste of mathematics proofs. Topics:
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Business for Youth
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Dr. Jingwei Meng will lead the “Business for Youth Part II” course. This course is designed for students in middle schools and high schools and the content is based on the curriculum of MBA for Youth* (M4Y) program with focus on business strategy. This class will review B001 (Business Concepts) and focus on B003 (Business Analytics). Students will learn how to build their own companies, how to evaluate their products based on market conditions, and how to analyze the market positions of their products to gain strategic advantages. The overall goals are to help students learn fundamental business concepts, improve their capabilities of personal communication, collaborate with other team members, and apply a set of practical business analysis tools to their own business and products. Students are expected to work in a 4 to 5 person group and analyze their own companies. Successful completion of this course will enable students to perform sophisticated business analysis in the project and company level. There is no class limit.
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Completion of the Business for Youth program will award the students with the following achievements and milestones:
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Writing
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Mr. Jonathan West will teach a basic grammar course. Grammar is foundational to all writing, especially academic and professional. Mastery of grammar also opens the way for fluid and creative prose. The purpose of this course is to increase students’ comfort level with parts of speech, sentence structure, and punctuation. Textbook: Painless Grammar, 5th ed., by Rebecca Elliott.
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Key concepts:
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Debate
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Hemanth Asirvatham will lead the Introduction to Debate course. Throughout the program, Hemanth will help students learn and master the foundational elements of debate. From research to analysis to advanced techniques in persuasive writing and speaking, participants will gain skills useful far beyond the realm of debate.
Debate is something best learned by doing; it can't just be taught by lecture. Students will spend much of their time actively participating and bouncing ideas off one another in small groups. After learning a new technique, students will work with the instructor, TAs, and peers to master it themselves. Participants will also practice with fun topics of their own creation. Over the camp, students will collaborate and build their very own debate case, which they will argue on the final day. From piercing cross-examinations to showstopping conclusions, debate can be an extremely enjoyable and rewarding learning experience. Hemanth and the TAs are always willing to talk 1-on-1, answer questions, and give detailed feedback before, during, and after the camp so students get the best possible experience out of it. |
Course Outline for 10 lectures:
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Biology
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This course is designed to cover the fundamental topics of biology for students with little to no background in the subject. This course aims to prepare students for more advanced biology classes/competitions and hopefully spark an interest that continues beyond the class.
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Course Outline for 10 lectures:
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Computer Science
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Timothy Alexander will lead the Introduction to Python course. Programming is an immensely powerful tool that is useful in nearly every area of education and life, especially STEM areas. The goal of this course is to introduce the foundations of what programming is and to provide students with the basic skill set needed to use programming to solve problems. It is designed for students with little to no prior coding experience to build a foundation for them and get them excited about the possibilities this skill enables. The course will outline foundational topics during the first week and then apply them to tackling different questions and problems during the second week.
Benjamin Yan will lead the Intermediate Python course, which emphasizes algorithmic and efficient problem-solving through modern software tools and principles. Students enrolling in this class optimally have some prior experience in Python and are familiar with its built-in data types such as integers, strings, and lists. The aim is for students to enrich their vocabulary of Python facilities and concepts, as well as build a solid computing foundation that is practically useful for school and career paths. Topics include recursion, data representation, object-oriented programming, and computer graphics and animation. From this course, students will emerge with new knowledge and innovation to devise polished computational solutions, as well as launch their programming skills to the next level. |
Introduction to Python for 10 lectures:
Intermediate Python for 10 lectures:
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Physics
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Dr. Yi Zhou will lead the Conceptual Physics course. This class is for middle/high school students who are new to physics with no prior physics coursework necessary. This summer course will give students a head start for the high school Physics courses.
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Course Outline for 10 lectures:
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