Madison Math Circle: Difference between revisions
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For the site in Spanish, visit [[Math Circle de Madison]] | For the site in Spanish, visit [[Math Circle de Madison]] | ||
=COVID-19 Update= | =COVID-19 Update= | ||
We will moving back to in-person talks for the remainder of the semester. | |||
We | As is the university's policy, all participants must wear masks. We will make every effort to maintain social distancing where possible. | ||
=What is a Math Circle?= | =What is a Math Circle?= | ||
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After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc. | After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc. | ||
'''The Madison Math | '''The Madison Math Circle was featured in Wisconsin State Journal:''' [http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html check it out]! | ||
=All right, I want to come!= | =All right, I want to come!= | ||
Our in person talks will be at, <b>Monday at 6pm in 3255 Helen C White Library</b>, during the school year. New students are welcome at any point! There is no fee and the talks are independent of one another. You can just show up any week, but we ask all participants to take a moment to register by following the link below: | |||
[https:// | [https://forms.gle/5QRTkHngWf43nmCC9 '''Math Circle Registration Form'''] | ||
All of your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle. | All of your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle. | ||
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==Spring Enhancement Workshop== | |||
[https:// | |||
In addition to allowing students to explore various fields of math through our talks series, our Spring Enhancement Workshop helps them hone the various skills involved in higher mathematics. The workshop, titled the Math Circle Spring Enhancement Program Workshop (SEP) will be held from Feb. 27 through May 1, on alternate Mondays from 6:00pm - 7:00pm at the UW-Madison campus. Please see our schedule below for details. | |||
The topics for this workshop will cover an introduction to constructing mathematical arguments and proofs, understanding how to generalise simple mathematical ideas, and learn how to discover math for one's self. We will build these skills through collaborative problem solving sessions while learning about graph theory, game theory, and other cool areas of mathematics. | |||
We want to invite any middle school students curious about math to join! If you are interested, please register using the form below. As always, this workshop is free and only requires your curiosity and participation! | |||
[https://forms.gle/EXRRCBLBHvAk1zLQ8 '''Math Circle SEP Registration Form'''] | |||
All your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle. | |||
We hope to see you there! | |||
==Spring Schedule== | |||
<center> | <center> | ||
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{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0" | {| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0" | ||
|- | |- | ||
! colspan=" | ! colspan="4" style="background: #e8b2b2;" align="center" | Spring Schedule (see abstracts below) | ||
|- | |||
! Date !! Location and Room || Program || Speaker | |||
|- | |||
| Feb 20th || 3255 Helen C White Library || Talks || Uri Andrews | |||
|- | |||
| Feb 27th || 3255 Helen C White Library || SEP || Math Circle Team | |||
|- | |||
| Mar 6th || 3255 Helen C White Library || Talks || Yunting Zhang | |||
|- | |||
| Mar 13th || 3255 Helen C White Library || SPRING BREAK || | |||
|- | |||
| Mar 20th || 3255 Helen C White Library || SEP || Math Circle Team | |||
|- | |||
| Mar 27th || 3255 Helen C White Library || Talks || Amy Tao | |||
|- | |||
| Apr 3rd || 3255 Helen C White Library || SEP || Math Circle Team | |||
|- | |||
| Apr 10th || 3255 Helen C White Library || Talks || Chenxi Wu | |||
|- | |||
| Apr 17th || 3255 Helen C White Library || SEP || Math Circle Team | |||
|- | |||
| Apr 24th || 3255 Helen C White Library || Talks || Yuxiao Fu | |||
|- | |||
| May 1st || 3255 Helen C White Library || SEP (Competition) || Math Circle Team | |||
|} | |||
</center> | |||
== Abstract 2/20 == | |||
<center> | |||
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | |||
|- | |||
| bgcolor="#e8b2b2" align="center" style="font-size:125%" | '''Uri Andrews''' | |||
|- | |||
| bgcolor="#BDBDBD" align="center" | '''Title: How to split an apartment''' | |||
|- | |||
| bgcolor="#BDBDBD" | | |||
So you go off to college and after a year or two, you and some of your friends decide to get an apartment together. It'll be a lot of fun living with your best friends. Then move-in day comes, and you realize that everyone wants the room by the kitchen (for easy late-night snacking). You have 4 rooms and 4 people. Surely there must be some way to make everybody happy. People are willing to settle for their second-favorite room instead if maybe they pay a little less rent or do some less chores. How do you navigate this issue to make everybody happy? I'll share a way to do this based on a mathematical theorem which also explains the following fact: If you stir up a cup of hot chocolate, when the liquid has come to rest, some point in the liquid will end up in exactly the same place in the cup as before you stirred it. | |||
|} | |||
</center> | |||
== Abstract 3/6 == | |||
<center> | |||
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | |||
|- | |||
| bgcolor="#e8b2b2" align="center" style="font-size:125%" | '''Yunting Zhang''' | |||
|- | |||
| bgcolor="#BDBDBD" align="center" | '''Title: Sequences and Induction''' | |||
|- | |||
| bgcolor="#BDBDBD" | | |||
I will introduce the definitions of set and sequence, and give some special sequences (such as arithmetic sequences, geometric sequences and Fibonacci sequence) and compute the sum of the first n terms of these sequences. I will then introduce the application of the Fibonacci sequence (relation to the Golden Section and "coincidence" in nature). Finally, I'll talk about induction and using induction to prove that the previous summations were correct. | |||
|} | |||
</center> | |||
== Abstract 3/27 == | |||
<center> | |||
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | |||
|- | |- | ||
| bgcolor="#e8b2b2" align="center" style="font-size:125%" | '''Amy Tao''' | |||
|- | |- | ||
| | | bgcolor="#BDBDBD" align="center" | '''Title: Guess the number!''' | ||
|- | |||
| bgcolor="#BDBDBD" | | |||
On Monday you will learn a fun number guessing game to psych your friends with. Then we'll talk about why it works and introduce a particular concept. We will then think about a couple of other problems, some of which are related and another of which looks related, but in fact is not. Here's a sampling: does every number have a (non-zero) multiple that is made of just 1's and 0's? How can you get away with fewer birthday candles? | |||
|} | |||
</center> | |||
== Abstract 4/10 == | |||
<center> | |||
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | |||
|- | |||
| bgcolor="#e8b2b2" align="center" style="font-size:125%" | '''Chenxi Wu''' | |||
|- | |||
| bgcolor="#BDBDBD" align="center" | '''Title: Almost periodic sequences''' | |||
|- | |- | ||
| | | bgcolor="#BDBDBD" | | ||
If an infinite sequence of letters is periodic, then any finite section of this sequence will reappear infinitely many times. However there are sequences with this property which is not periodic. I will show some examples of them and also how they appear in Euclidean geometry and graph theory. | |||
|} | |||
</center> | |||
== Abstract 4/24 == | |||
<center> | |||
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | |||
|- | |- | ||
| | | bgcolor="#e8b2b2" align="center" style="font-size:125%" | '''Yuxiao Fu''' | ||
|- | |- | ||
| | | bgcolor="#BDBDBD" align="center" | '''Title: On Propositional Logic''' | ||
|- | |- | ||
| | | bgcolor="#BDBDBD" | | ||
Logic is in some sense the art of thinking, for it captures the rules we rely on when we think. In this talk, I plan to provide an introduction to propositional logic, the perhaps most basic form of standard logic, and present some of its rich applications in mathematics and electrical engineering. | |||
|} | |||
</center> | </center> | ||
==Directions and parking== | ==Directions and parking== | ||
Our meetings are held on the 3rd floor of Helen C. White Hall in room 3255. | Our meetings are held on the 3rd floor of Helen C. White Hall in room 3255. | ||
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*A 0.2 mile walk to Helen C. White Hall via [http://goo.gl/b8pdk2 these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] . | *A 0.2 mile walk to Helen C. White Hall via [http://goo.gl/b8pdk2 these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] . | ||
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website]. | *For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website]. | ||
==Email list== | ==Email list== | ||
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The Madison Math Circle is organized by a group of professors and graduate students from the [http://www.math.wisc.edu Department of Mathematics] at the UW-Madison. If you have any questions, suggestions for topics, or so on, just email the '''organizers''' [mailto:mathcircleorganizers@g-groups.wisc.edu here]. We are always interested in feedback! | The Madison Math Circle is organized by a group of professors and graduate students from the [http://www.math.wisc.edu Department of Mathematics] at the UW-Madison. If you have any questions, suggestions for topics, or so on, just email the '''organizers''' [mailto:mathcircleorganizers@g-groups.wisc.edu here]. We are always interested in feedback! | ||
<center> | <center> | ||
<gallery widths= | <gallery widths="500" heights="300" mode="packed"> | ||
File:Uri.jpg|[https://www.math.wisc.edu/~andrews/ Prof. Uri Andrews] | File:Uri.jpg|[https://www.math.wisc.edu/~andrews/ Prof. Uri Andrews] | ||
File: | File:Hongyu.jpg|[https://sites.google.com/view/hongyu-zhu/ Hongyu Zhu] | ||
File:Karthik.jpeg|Karthik Ravishankar | |||
</gallery> | </gallery> | ||
<gallery widths="500" heights="250" mode="packed"> | |||
<gallery widths= | |||
</gallery> | </gallery> | ||
</center> | </center> | ||
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If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by: | If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by: | ||
* Like our [https://facebook.com/madisonmathcircle '''Facebook Page'''] and share our events with others! | * Like our [https://facebook.com/madisonmathcircle '''Facebook Page'''] and share our events with others! | ||
* Posting our [https://www.math.wisc.edu/wiki/images/ | * Posting our [https://www.math.wisc.edu/wiki/images/Math_Circle_Flyer_2021.pdf '''flyer'''] at schools or anywhere that might have interested students. | ||
* Discussing the Math Circle with students, parents, teachers, administrators, and others. | * Discussing the Math Circle with students, parents, teachers, administrators, and others. | ||
* Making an announcement about Math Circle at PTO meetings. | * Making an announcement about Math Circle at PTO meetings. | ||
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=Useful Resources= | =Useful Resources= | ||
<!--==Annual Reports== | <!--==Annual Reports== | ||
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf 2013-2014 Annual Report]--> | [https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf 2013-2014 Annual Report]-->[https://uwmadison.box.com/s/ns14iv68wv8lp4opdht2lxczu5fgi4at Fall 2022 Worksheets] | ||
== Archived Abstracts == | == Archived Abstracts == | ||
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2021-2022 2021 - 2022 Abstracts] | |||
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2020-2021 2020 - 2021 Abstracts] | |||
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2019-2020 2019 - 2020 Abstracts] | [https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2019-2020 2019 - 2020 Abstracts] | ||
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[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2015-2016 2015 - 2015 Abstracts] | [https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2015-2016 2015 - 2015 Abstracts] | ||
[ | [https://www.math.wisc.edu/wiki/index.php/Archived_Math_Circle_Material The way-back archives] | ||
==Link for presenters (in progress)== | ==Link for presenters (in progress)== |
Latest revision as of 00:15, 21 April 2023
For the site in Spanish, visit Math Circle de Madison
COVID-19 Update
We will moving back to in-person talks for the remainder of the semester.
As is the university's policy, all participants must wear masks. We will make every effort to maintain social distancing where possible.
What is a Math Circle?
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.
The Madison Math Circle was featured in Wisconsin State Journal: check it out!
All right, I want to come!
Our in person talks will be at, Monday at 6pm in 3255 Helen C White Library, during the school year. New students are welcome at any point! There is no fee and the talks are independent of one another. You can just show up any week, but we ask all participants to take a moment to register by following the link below:
Math Circle Registration Form
All of your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle.
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in 3255 Helen C White Library, on the UW-Madison campus, right next to the Memorial Union).
Spring Enhancement Workshop
In addition to allowing students to explore various fields of math through our talks series, our Spring Enhancement Workshop helps them hone the various skills involved in higher mathematics. The workshop, titled the Math Circle Spring Enhancement Program Workshop (SEP) will be held from Feb. 27 through May 1, on alternate Mondays from 6:00pm - 7:00pm at the UW-Madison campus. Please see our schedule below for details.
The topics for this workshop will cover an introduction to constructing mathematical arguments and proofs, understanding how to generalise simple mathematical ideas, and learn how to discover math for one's self. We will build these skills through collaborative problem solving sessions while learning about graph theory, game theory, and other cool areas of mathematics.
We want to invite any middle school students curious about math to join! If you are interested, please register using the form below. As always, this workshop is free and only requires your curiosity and participation!
Math Circle SEP Registration Form
All your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle.
We hope to see you there!
Spring Schedule
Spring Schedule (see abstracts below) | |||
---|---|---|---|
Date | Location and Room | Program | Speaker |
Feb 20th | 3255 Helen C White Library | Talks | Uri Andrews |
Feb 27th | 3255 Helen C White Library | SEP | Math Circle Team |
Mar 6th | 3255 Helen C White Library | Talks | Yunting Zhang |
Mar 13th | 3255 Helen C White Library | SPRING BREAK | |
Mar 20th | 3255 Helen C White Library | SEP | Math Circle Team |
Mar 27th | 3255 Helen C White Library | Talks | Amy Tao |
Apr 3rd | 3255 Helen C White Library | SEP | Math Circle Team |
Apr 10th | 3255 Helen C White Library | Talks | Chenxi Wu |
Apr 17th | 3255 Helen C White Library | SEP | Math Circle Team |
Apr 24th | 3255 Helen C White Library | Talks | Yuxiao Fu |
May 1st | 3255 Helen C White Library | SEP (Competition) | Math Circle Team |
Abstract 2/20
Uri Andrews |
Title: How to split an apartment |
So you go off to college and after a year or two, you and some of your friends decide to get an apartment together. It'll be a lot of fun living with your best friends. Then move-in day comes, and you realize that everyone wants the room by the kitchen (for easy late-night snacking). You have 4 rooms and 4 people. Surely there must be some way to make everybody happy. People are willing to settle for their second-favorite room instead if maybe they pay a little less rent or do some less chores. How do you navigate this issue to make everybody happy? I'll share a way to do this based on a mathematical theorem which also explains the following fact: If you stir up a cup of hot chocolate, when the liquid has come to rest, some point in the liquid will end up in exactly the same place in the cup as before you stirred it. |
Abstract 3/6
Yunting Zhang |
Title: Sequences and Induction |
I will introduce the definitions of set and sequence, and give some special sequences (such as arithmetic sequences, geometric sequences and Fibonacci sequence) and compute the sum of the first n terms of these sequences. I will then introduce the application of the Fibonacci sequence (relation to the Golden Section and "coincidence" in nature). Finally, I'll talk about induction and using induction to prove that the previous summations were correct. |
Abstract 3/27
Amy Tao |
Title: Guess the number! |
On Monday you will learn a fun number guessing game to psych your friends with. Then we'll talk about why it works and introduce a particular concept. We will then think about a couple of other problems, some of which are related and another of which looks related, but in fact is not. Here's a sampling: does every number have a (non-zero) multiple that is made of just 1's and 0's? How can you get away with fewer birthday candles? |
Abstract 4/10
Chenxi Wu |
Title: Almost periodic sequences |
If an infinite sequence of letters is periodic, then any finite section of this sequence will reappear infinitely many times. However there are sequences with this property which is not periodic. I will show some examples of them and also how they appear in Euclidean geometry and graph theory. |
Abstract 4/24
Yuxiao Fu |
Title: On Propositional Logic |
Logic is in some sense the art of thinking, for it captures the rules we rely on when we think. In this talk, I plan to provide an introduction to propositional logic, the perhaps most basic form of standard logic, and present some of its rich applications in mathematics and electrical engineering. |
Directions and parking
Our meetings are held on the 3rd floor of Helen C. White Hall in room 3255.
Parking. Parking on campus is rather limited. Here is as list of some options:
- There is a parking garage in the basement of Helen C. White, with an hourly rate. Enter from Park Street.
- A 0.5 mile walk to Helen C. White Hall via these directions, many spots (free starting 4:30pm) in Lot 26 along Observatory Drive.
- A 0.3 mile walk to Helen C. White Hall via these directions, many spots (free starting 4:30pm) in Lot 34.
- A 0.3 mile walk to Helen C. White Hall via these directions, 2 metered spots (25 minute max) in front of Lathrop Hall.
- A 0.2 mile walk to Helen C. White Hall via these directions 6 metered spots (25 minute max) around the loop in front of Chadbourne Hall .
- For more information, see the UW-Madison Parking Info website.
Email list
The best way to keep up to date with the what is going is by signing up for our email list. Please add your email in the form: Join Email List
Contact the organizers
The Madison Math Circle is organized by a group of professors and graduate students from the Department of Mathematics at the UW-Madison. If you have any questions, suggestions for topics, or so on, just email the organizers here. We are always interested in feedback!
Donations
Please consider donating to the Madison Math Circle. Our main costs consist of pizza and occasional supplies for the speakers. So far our costs have been covered by donations from the UW Mathematics Department as well as a generous gifts from private donors. The easiest way to donate is to go to the link:
There are instructions on that page for donating to the Math Department. Be sure and add a Gift Note saying that the donation is intended for the "Madison Math Circle"! The money goes into the Mathematics Department Annual Fund and is routed through the University of Wisconsin Foundation, which is convenient for record-keeping, etc.
Alternately, you can bring a check to one of the Math Circle Meetings. If you write a check, be sure to make it payable to the "WFAA" and add the note "Math Circle Donation" on the check.
Or you can make donations in cash, and we'll give you a receipt.
Help us grow!
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:
- Like our Facebook Page and share our events with others!
- Posting our flyer at schools or anywhere that might have interested students.
- Discussing the Math Circle with students, parents, teachers, administrators, and others.
- Making an announcement about Math Circle at PTO meetings.
- Donating to Math Circle.
Contact the organizers if you have questions or your own ideas about how to help out.
Useful Resources
Archived Abstracts
2015 - 2016 Math Circle Page (Spanish)
Link for presenters (in progress)
Advice For Math Circle Presenters
Sample Talk Ideas/Problems from Tom Davis