Past Student Classes

The Summer MSHS Math Circle is a weekday program for students entering grades 6-12 in the fall that runs for two weeks, four hours a day. A typical day consists of a class in the morning, followed by an offline, unsupervised one hour lunch, and a class on a different topic in the afternoon. Instructors are very friendly and helpful. We do expect students to use their registration name and turn on their live video during online class sessions. Virtual backgrounds are allowed.

MSA/MSA+: Geometry and Algebra to describe patterns

MSB/MSB+: Algebra and Graphing, and Math contest topics

MSC/MSC+: Circle, Numbers and Counting, and Math contest topics

HS Problem Solving: Math contest topics, and Algebra

New students are required to take a placement test. You will receive a link to download the exam after registering your child. Please submit the exam within 48 hours of registration. We will need to see FULL SOLUTIONS HANDWRITTEN.

Current students wishing to move up a section will also need to take a placement exam. Please email a request to us at info@nymathcircle.org

    July/August 2020
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The Online Summer Program is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a casual setting, providing ample challenges for high school students of varying levels. This program emphasizes problem-solving and posing, through a variety of fascinating topics in number theory, algebra, geometry, and more.

This program is appropriate for students wishing to acquire a deeper insight into mathematics, to develop their reasoning and analytical skills, to practice for a math team, or simply to have fun learning and doing wonderful mathematics.

Students are expected to attend the entire 3-week program.

This is a continuation of last semester's course consisting of 2 workshops covering more topics that will be encountered in intermediate level High School Math Contests (such as AMC 10). Students need to be in HSA or higher - new students will have to take the HSA placement test.

This is a REPEAT of the Fall 2019 Workshop and students who attended that workshop should not register for this one.

The theme of this workshop is an introduction to negative and positive whole numbers and zero. The 90-minute workshop will be interactive.  The students (grades 2-4) working alone and in groups will learn the meaning and relative value of integers, and will use number lines to add integers and discover patterns. They will also work on real-world examples involving the addition of integers.

In this interactive class, students will use a number line to add and subtract integers. Students may recognize patterns that allow them to add and subtract integers without the number line. Students will solve integer word problems and play a game involving addition of integers.

This is a new course consisting of 2 workshops that cover topics encountered in Middle School Math Contests such as MATHCOUNTS. MSA students should go into the intermediate level, and MSB/MSC students should register for the Advanced level. Students not in our program should take the appropriate placement test.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. Topics to be covered include continued fractions, graph theory, and Vieta’s formulas. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. Proof-writing will be an important component of this course. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Topics and sample questions.

College Bridge is a course designed to challenge our most advanced students who plan to take higher-level mathematics classes in college. Emphasis will be on proof-writing and examination of underlying structures in mathematics.

Dr. Ustinovskiy will cover some topics that typically appear on USAMO. These topics are not only useful for Olympiad participants but are also of intrinsic interest. There is a short placement test to identify suitable students.

Students already taking other classes may take this class as well if they meet the admission standards.

This is a new course consisting of 2 workshops this semester that cover topics encountered in intermediate level High School Math Contests (such as AMC 10). Students need to be in HSA or higher - new students will have to take the HSA placement test.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

The theme of this workshop is an introduction to negative and positive whole numbers and zero. The 90-minute workshop will be interactive.  The students (grades 2-4) working alone and in groups will learn the meaning and relative value of integers, and will use number lines to add integers and discover patterns. They will also work on real-world examples involving the addition of integers.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. Topics to be covered include continued fractions, graph theory, and Vieta’s formulas. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

This is a new course consisting of 3 workshops that cover topics encountered in Middle School Math Contests. Students who have taken or are taking MSB or MSC are welcome to register; other students will have to take the MSB placement test.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. Proof-writing will be an important component of this course. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Topics and sample questions.

College Bridge is a course designed to challenge our most advanced students who plan to take higher-level mathematics classes in college. Emphasis will be on proof-writing and examination of underlying structures in mathematics.

Dr. Ustinovskiy will cover some topics that typically appear on USAMO. These topics are not only useful for Olympiad participants but are also of intrinsic interest. There is a short placement test to identify suitable students.

Students already taking other classes may take this class as well if they meet the admission standards.

The Summer MSHS Math Circle is a weekday program for students entering grades 6-12 in the fall that runs for two weeks, five hours a day. A typical day consists of a class in the morning, followed by lunch (provided by students’ parents), and a class on a different topic in the afternoon. Instructors are very friendly and helpful, and the atmosphere is open and collaborative.

Students are expected to work hard in the program, but also to have fun. Early drop-off (9-10am) and late pick-up (3-6pm) are also available at no added cost. The late pick-up session will consist of mathematical games and videos.

MSA/MSA+: Geometry and Algebra to describe patterns

MSB/MSB+: Math contest topics, and Transformations and Symmetries

MSC/MSC+: Math contest topics, and Graph Theory

HS Problem Solving: Math contest topics, and Algebra

New students are required to take a placement test. You will receive a link to download the exam after registering your child. Please submit the exam within 48 hours of registration. We will need to see FULL SOLUTIONS HANDWRITTEN.

Current students wishing to move up a section will also need to take a placement exam. Please email us at info@nymathcircle.org

      July 2019
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The Summer Program is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a casual setting, providing ample challenges for high school students of varying levels. This program emphasizes problem solving and posing, through a variety of fascinating topics in number theory, algebra, geometry, and more.

This program is appropriate for students wishing to acquire deeper insight into mathematics, to develop their reasoning and analytical skills, to practice for a math team, or simply to have fun learning and doing wonderful mathematics.

Students are expected to attend the entire 3-week program.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. Topics to be covered include continued fractions, graph theory, and Vieta’s formulas. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. Proof-writing will be an important component of this course. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Topics and sample questions.

College Bridge is a course designed to challenge our most advanced students who plan to take higher-level mathematics classes in college. Emphasis will be on proof-writing and examination of underlying structures in mathematics.

Dr. Gomprecht will cover advanced geometry topics that appear on mathematical olympiads such as USAMO and IMO. These topics are not only useful for Olympiad participants but are also of intrinsic interest. There is a short placement test to identify suitable students.

The second part of the course will be given by Dr. Ustinovskiy on Number Theory.

Students already taking other classes may take this class as well if they meet the admission standards.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. Topics to be covered include continued fractions, graph theory, and Vieta’s formulas. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Topics and sample questions.

College Bridge is a course designed to challenge our most advanced students who plan to take higher-level mathematics classes in college. Emphasis will be on proof-writing and examination of underlying structures in mathematics.

Misha Sklyar will teach "Algebra topics found in USAMO," where we use USAMO questions as a resource for teaching advanced algebra topics. There is a short placement test to identify suitable students.

The second part of the course will be given by Professor Hartung on Probability.

Students already taking other classes may take this class as well if they meet the admission standards.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including "order of operations", fractions, decimals, and percents. The AM sessions will cover various elementary topics in Geometry; the PM session will cover the use of algebra to describe patterns.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. Topics to be covered include continued fractions, graph theory, and Vieta’s formulas.

Late pickup - Mathematical Activities

      July 2018
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The Summer Program is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a casual setting, providing ample challenges for high school students of varying levels. This program emphasizes problem solving and posing, through a variety of fascinating topics in number theory, algebra, geometry, and more.

This program is appropriate for students wishing to acquire deeper insight into mathematics, to develop their reasoning and analytical skills, to practice for a math team, or simply to have fun learning and doing wonderful mathematics.

Students are expected to attend the entire 3-week program.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. Topics to be covered include continued fractions, graph theory, and Vieta’s formulas. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. Topics and sample questions.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Topics and sample questions.

College Bridge is a new course designed to challenge our most advanced students who plan to take advanced mathematics classes in college. Emphasis will be on proof-writing and examination of underlying structures in mathematics.

Jan Siwanowicz will teach "Bases in Mathematical Spaces", looking at how bases occur naturally in different mathematical contexts. Some knowledge of Linear Algebra would be beneficial.

Professor Pogudin from NYU will talk about approximating and representing real-world data with polynomials using, for example, interpolation at cleverly chosen nodes or splines. Students should have a working knowledge of Python.

Students will be required to take a placement test and to provide a reference from a teacher or NYMC instructor to complete registration. Students already taking other classes may take this class as well if they meet the admission standards.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. They should be able to solve the following: problems.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. They should be able to solve most of the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Students are expected to be able to solve most of the following: problems.

College Bridge is a new course designed to challenge our most advanced students who plan to take advanced mathematics classes in college. It will provide preparation for the formal theorem/proof approach taken in college by examining underlying structures and developing proof-writing skills.

Misha will teach Complex Variables - we will begin by solving geometry problems using Complex Analysis and will proceed to some well-known theorems and their applications, culminating with the proof of the Fundamental Theorem of Algebra. Dr. Angelika Manhart, an NYU Post-doc, will teach Mathematical Modeling - we will discuss how mathematical models can be used to describe phenomena in the real world and what their limitations are.

Students will be required to take a placement test at home which they can submit by email; they will also be required to provide a reference either from their High School teacher or their NYMC instructor to complete registration. Students already taking other classes may take this class as well if they meet the admission standards.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. They should be able to solve the following: problems.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. They should be able to solve the following: problems.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. They should be able to solve the following: problems.

      July 2017
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The Summer Program is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a casual setting, providing ample challenges for high school students of varying levels. This program emphasizes problem solving and posing, through a variety of fascinating topics in number theory, algebra, geometry, and more.

This program is appropriate for students wishing to acquire deeper insight into mathematics, to develop their reasoning and analytical skills, to practice for a math team, or simply to have fun learning and doing wonderful mathematics.

Students are expected to attend the entire 3-week program.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. They should be able to solve most of the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Students are expected to be able to solve most of the following: problems.

College Bridge is a new course designed to challenge our most advanced students who plan to take advanced mathematics classes in college. It will provide preparation for the formal theorem/proof approach taken in college by examining underlying structures and developing proof-writing skills. Three instructors will teach three topics (calculus, set theory and abstract algebra) after an introductory session by Larry Zimmerman. Students will be required to take a placement test at home which they can submit by email; they will also be required to provide a reference either from their High School teacher or their NYMC instructor to complete registration. Students already taking other classes may take this class as well if they meet the admission standards.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS A is appropriate for younger high school students who may be new to problem-solving. They should be comfortable with regular high school material, including at least Algebra 1. They should be able to solve the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS B Students are expected to have completed the equivalent of two years of high school, and have a solid understanding of algebra, geometry, and elementary number theory. Experience with problem solving, such as prior NYMC or math team participation, is desirable but not required. They should be able to solve most of the following: problems.

Note: Due to high interest, we are offering multiple sections of this course this semester. They constitute the same course but the “+” sections, when available, are taught at a deeper level and designed for students who have already taken this class 2 or more semesters in the past.

HS C Students are expected to have taken pre-calculus and to have deeper knowledge of algebra, geometry, and trigonometry, as well as experience with mathematical problem solving. Problems will require sustained effort, and writing proofs will play an important role. Students are expected to be able to solve most of the following: problems.

MS A is appropriate for students who are new to problem-solving. In addition to having a strong interest in learning mathematics above and beyond the school curriculum, they should be well-versed in arithmetic, including order of operations, fractions, decimals, and percents. They should be able to solve the following: problems.

MS B is appropriate for students who have strong arithmetic skills and have some basic experience with algebra. They should have the equivalent of 2-4 semesters of MS A. They should be able to solve the following: problems.

MS C is appropriate for students who have strong arithmetic skills and considerable experience with algebra including some exposure to Algebra 1. They should have the equivalent of 2-4 semesters of MS B. They should be able to solve the following: problems.

The Middle School Circle is open to all middle school students with a strong interest in learning and doing mathematics above and beyond the regular curriculum. We aim to improve the students’ reasoning and problem solving skills.

Topics will include basic number theory, geometry, combinatorics, probability, sequences, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly.

In the descriptions of our circles given below, we mention the grade levels of the student. As mathematical preparation in students varies, this is somewhat flexible. Please also take a look at the sample problems provided for each level. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Middle School Circle is open to all middle school students with a strong interest in learning and doing mathematics above and beyond the regular curriculum. We aim to improve the students’ reasoning and problem solving skills.

Topics will include basic number theory, geometry, combinatorics, probability, sequences, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly.

In the descriptions of our circles given below, we mention the grade levels of the student. As mathematical preparation in students varies, this is somewhat flexible. Please also take a look at the sample problems provided for each level. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

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The Summer Program is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a casual setting, providing ample challenges for high school students of varying levels. This program emphasizes problem solving and posing, through a variety of fascinating topics in number theory, algebra, geometry, and more.

This program is appropriate for students wishing to acquire deeper insight into mathematics, to develop their reasoning and analytical skills, to practice for a math team, or simply to have fun learning and doing wonderful mathematics.

Students are expected to attend the entire 3-week program.

The Middle School Circle is open to enthusiastic students below 9th grade with a strong interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for middle school students of varying levels. Topics will include basic number theory, geometry, combinatorics, probability, sequences, recursion, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Middle School Circle is open to all middle school students with a strong interest in learning and doing mathematics above and beyond the regular curriculum. We aim to improve the students’ reasoning and problem solving skills.

Topics will include basic number theory, geometry, combinatorics, probability, sequences, recursion, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly.

The High School Circle is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for high school students of varying levels. The topics include number theory, algebra, geometry, combinatorics, and more. The courses also address subtle mathematical ideas, including the nature and construction of proofs. Problem posing and problem solving are emphasized throughout. If in doubt, please ask, and we'll be happy to offer guidance on choosing the right level class.

The High School Circle is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for high school students of varying levels. The topics include number theory, algebra, geometry, combinatorics, and more. The courses also address subtle mathematical ideas, including the nature and construction of proofs. Problem posing and problem solving are emphasized throughout. If in doubt, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Level D Course is intended for the most experienced problem solvers. The course will cover Olympad-level topics with an emphasis on proof writing, as well as introduce students to college level Mathematics, including Analysis, Abstract Algebra and Linear Algebra. It's appropriate for students who have taken the USAMO, USAJMO, or equivalent, or students recommended by a NY Math Circle instructor. (If this applies to you, please contact us at info@nymathcircle.org for possible placement.) Lunch will be included in each session. Students are expected to be able to solve most of the following: placement problems.

The Middle School Circle is open to enthusiastic students below 9th grade with a strong interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for middle school students of varying levels. Topics will include basic number theory, geometry, combinatorics, probability, sequences, recursion, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

The High School Circle is open to enthusiastic high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for high school students of varying levels. The topics include number theory, algebra, geometry, combinatorics, and more. The courses also address subtle mathematical ideas, including the nature and construction of proofs. Problem posing and problem solving are emphasized throughout. If in doubt, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Middle School Circle is open to enthusiastic students below 9th grade with a strong interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for middle school students of varying levels. Topics will include basic number theory, geometry, combinatorics, probability, sequences, recursion, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

The High School Circle is open to enthusiastic high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for high school students of varying levels. The topics include number theory, algebra, geometry, combinatorics, and more. The courses also address subtle mathematical ideas, including the nature and construction of proofs. Problem posing and problem solving are emphasized throughout. If in doubt, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Middle School Circle is open to enthusiastic students below 9th grade with a strong interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for middle school students of varying levels. Topics will include basic number theory, geometry, combinatorics, probability, sequences, recursion, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Middle School Circle is open to all middle school students with a strong interest in learning and doing mathematics above and beyond the regular curriculum. We aim to improve the students’ reasoning and problem solving skills.

Topics will include basic number theory, geometry, combinatorics, probability, sequences, recursion, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly.

The High School Circle is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for high school students of varying levels. The topics include number theory, algebra, geometry, combinatorics, and more. The courses also address subtle mathematical ideas, including the nature and construction of proofs. Problem posing and problem solving are emphasized throughout. If in doubt, please ask, and we'll be happy to offer guidance on choosing the right level class.

The High School Circle is open to enthusiastic high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a friendly setting, providing ample challenges for high school students of varying levels. The topics include number theory, algebra, geometry, combinatorics, and more. The courses also address subtle mathematical ideas, including the nature and construction of proofs. Problem posing and problem solving are emphasized throughout. If in doubt, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Level D Course is intended for the most experienced problem solvers. The course will cover Olympad-level topics with an emphasis on proof writing, as well as introduce students to college level Mathematics, including Analysis, Abstract Algebra and Linear Algebra. It's appropriate for students who have taken the USAMO, USAJMO, or equivalent, or students recommended by a NY Math Circle instructor. (If this applies to you, please contact us at info@nymathcircle.org for possible placement.) Lunch will be included in each session. Students are expected to be able to solve most of the following: placement problems.

   June/July 2015
Su Mo Tu We Th Fr Sa
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The Summer Program is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a casual setting, providing ample challenges for high school students of varying levels. This program emphasizes problem solving and posing, through a variety of fascinating topics in number theory, algebra, geometry, and more.

This program is appropriate for students wishing to acquire deeper insight into mathematics, to develop their reasoning and analytical skills, to practice for a math team, or simply to have fun learning and doing wonderful mathematics.

Students are expected to attend the entire 3-week program.

The Middle School Circle is open to all middle school students with a strong interest in learning and doing mathematics above and beyond the regular curriculum. We aim to improve the students’ reasoning and problem solving skills.

Topics will include basic number theory, geometry, combinatorics, probability, sequences, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly.

In the descriptions of our circles given below, we mention the grade levels of the student. As mathematical preparation in students varies, this is somewhat flexible. Please also take a look at the sample problems provided for each level. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

The NYMC classes at Queens College are open to enthusiastic students in grades 5-8 with a strong interest in learning and doing mathematics above and beyond the regular curriculum. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly.

Students should be well-versed in arithmetic, including order of operations, and operations with fractions, decimals, and percents. For grades 7-8, students should also have basic algebraic skills. Enthusiasm about math, and some success in the subject (for example, a 4 on the last New York State Math Exam) are expected. These courses are appropriate for both new and returning students (as they will each cover new material).

In the descriptions of our circles given below, we mention the grade levels of the student. As mathematical preparation in students varies, this is somewhat flexible. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

The Middle School Circle is open to all middle school students with a strong interest in learning and doing mathematics above and beyond the regular curriculum. We aim to improve the students’ reasoning and problem solving skills.

Topics will include basic number theory, geometry, combinatorics, probability, sequences, recursion, and induction. There will be an emphasis on creative problem solving and thorough explanations. In addition, students will be encouraged to communicate their ideas clearly.

In the descriptions of our circles given below, we mention the grade levels of the student. As mathematical preparation in students varies, this is somewhat flexible. If in doubt about the right level, please ask, and we'll be happy to offer guidance on choosing the right level class.

Please consider registering for the Queens Math Circle (above), which is also at the middle school level.