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Pre Young Math Olympians (PreYMO)
This course is focused on nurturing the interests of young kids from 2nd to 3rd grade in mental math and math problem solving. Kids will explore the patterns of numbers, the fun of solving interesting & meaningful math related problems, as well as develop their logical and critical thinking skills. Some basic concepts covered in the Math Olympiads for Elementary School (MOEMS) are explored.
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Young Math Olympians (YMO)
This course is focused on nurturing the interests of young kids from 4th to 5th grade in challenging math problem solving. Kids will explore the fun of solving interesting & meaningful math related problems, as well as develop their logical and critical thinking skills. Some basic concepts covered in the Math Olympiads for Elementary School (MOEMS) are explored.
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Math Challenge I (MC I)
Students learn math skills at a deeper level with topics in Beginning Algebra, Fundamental Geometry, basic number theory concepts and counting strategies, as well as logic and probabilities. The students not only learn practical skills of challenging problem solving that are supplemental to their school curricula, but also develop skills in creative thinking, logical reasoning, oral & written presentation, and team work. This course helps 6th to 8th graders (some advanced 5th graders may attend upon aproval) to participate in the American Mathematics Competition (AMC) 8, MathCounts and Math Olympiads for Elementary and Middle Schools MOEMS. Through the effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in the MathCounts, AMC 8, and MOEMS Contests.
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Math Challenge II (MC II)
In MC II, students learn and practice in areas such as algebra and geometry at the high school level, as well as advanced number theory and combinatorics. Topics include polynomials, inequalities, special algebraic techniques, trigonometry, triangles and polygons, collinearity and concurrency, vectors and coordinates, numbers and divisibility, modular arithmetic, residue classes, advanced counting strategies, binomial coefficients, pigeonhole principle, sequence and series, and various other topics and problem solving techniques involved in math contests such as the American Mathematics Competition (AMC) 10, 12 and ARML, and also the beginning AIME.
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Math Challenge III (MC III)
This course is for experienced students who can solve at least a few problems in the AIME contest, and up to the USAMO level. In this course, the students learn more in-depth math concepts and problem-solving strategies that involves more rigorous mathematical writing and a broad range of topics. The topics includes everything covered in MC II with more depth, and additional topics such as quadratic residue, diophantine equations, recurrence, proving inequalities, mathematical induction, functional equations, generating functions, inversion, projective geometry, and rigorous proof-writing practices. Through the effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in AIME and USAMO.
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Math Challenge IV (MC IV)
This course is for experienced students who can solve at least a few problems in the AIME contest and qualify or almost qualify for USAMO. In this course, the students learn more in-depth math concepts and problem-solving strategies that involve more rigorous mathematical writing and a broad range of topics. Students are trained to comfortably solve the AIME problems to qualify for USAMO, also to comfortably write mathematical proofs for problems at the USAMO level, aiming to win USAMO and get into the prestigious MOSP. The topics include everything covered in MC III with more depth, and additional topics such as quadratic residue, diophantine equations, recurrence, proving inequalities, mathematical induction, functional equations, generating functions, inversion, projective geometry, and rigorous proof-writing practices. Through the effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in AIME and USAMO.
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Physics Challenge II:
Preparation for the first stage of the USA Physics Olympiad (USAPhO), the “F=ma” exam (a.k.a. the preliminary or screening exam). This course assumes the students have already had a basic understanding of high school physics (specifically mechanics) concepts, and ready to solve competition problems. The topics of the course will focus on mechanics and will mostly follow the International Physics Olympiad (IPhO) Syllabus. The course covers vector-based kinematics, Newton’s laws, conservation of energy and momentum, fundamental forces as applied to mechanics (gravity, elastic forces, friction), orbital motion, rigid body mechanics, oscillation and waves, etc. Discussion of other useful techniques including dimensional analysis, answer reasonableness, introduction to modern physics research, writing free-response solutions. May spend a short time applying non-mechanics physics (Electricity & Magnetism, Thermodynamics, Modern Physics) to competition problems relevant to Physics Bowl. The goal will be for each member of the class to take the F=ma exam and qualify for the USAPhO Semi-Final Exam. The material will be useful for Physics Quiz Bowl and other Science Bowls, AP Physics, SAT II:Physics, first-year college physics, and Physics problem solving generally, allowing the techniques and advantages gained in this course to transcend into many other areas.
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Physics Challenge III:
Preparation for the higher stage of the USA Physics Olympiad (USAPhO), the “Semi-Final” Exam. This course requires detailed familiarity with basic physical principles (at the AP Physics C level or higher), some experience with competition problem solving, and a desire to compete in Physics competitions at a national level. Topics will include all area of Physics, mostly following the International Physics Olympiad (IPhO) syllabus: classical mechanics, thermodynamics and molecular physics, oscillations and waves, electric
charge, physics of electronic circuits, electromagnetic fields and waves, and basic modern physics. The course will focus on writing valid and coherent free-response solutions (like the Semi-Final Exam). We will review other useful techniques including dimensional analysis,
answer reasonableness, and introduction to modern physics research. The goal is for each member of the class to do very well on the F=ma exam and to be nationally competitive on the USAPhO Semi-Final Exam. While the course will focus on USAPhO preparation, the material will be useful for Physics Quiz Bowl and other Science Bowls, AP Physics, SAT
II:Physics, first-year college physics, and (competition) problem solving generally, allowing the techniques and advantages gained in this course to transcend into many other areas. International students will also find this useful for their own regional and national Physics
Competitions.
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