Difference between revisions of "Putnam Club"
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−   On ZOOM (the link is above). The topic for the next two meetings is '''Linear algebra'''. Here are the [[  +   On ZOOM (the link is above). The topic for the next two meetings is '''Linear algebra'''. Here are the [[Media:linear_algebra_2020.pdf  problems]] I plan to discuss, and here is a short [http://math.northwestern.edu/putnam/filom/Linear_and_Abstract_Algebra.pdf summary] (from NWU) of some common linear algebra techniques for math contests. 
    
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Revision as of 19:11, 10 November 2020
The Putnam Exam, offered by the Mathematical Association of America, is the premier American math competition for undergraduate students. It a regular year is given on the first Saturday in December. The exam consists of 12 problems, 6 in the 3 hour morning session and 6 in the 3 hour afternoon session. Each problem is worth 10 points, so the maximum score is 120. National winners usually get around 100 points. The median score is generally around 02 points. This is a difficult exam with many interesting and fun problems.
Due to the coronavirus crisis, most students in the US and Canada are unable to return to campuses this fall. Therefore, the 81st Putnam Competition, originally scheduled for Fall 2020, will be postponed until February 20, 2021. If most students can return to campuses in the spring, the competition on that date can go forward in much the same form as in previous years. On the other hand, if most students are unable to return to campuses in the spring, the competition on that date will proceed in an unofficial mode, with no proctors, no prizes, no awards, but with solution papers submitted for grading by participants themselves and scores reported back privately to the individual participants.
The UW is also participating in the Virginia Tech Regional Mathematics Contest. This is an individual competition with seven problems in 2.5 hours. Many schools use it as a kind of rehearsal for the Putnam. You can find more information over here.</div>
Meeting 16 SEPT 2020
Mihaela Ifrim 
ZOOM MEETING: Hi there, You are invited to a Zoom meeting.
When: Sep 16, 2020 05:00 PM Central Time (US and Canada) Register in advance for this meeting: https://uwmadison.zoom.us/meeting/register/tJApcumhrz4pEtJRe_o0WTGM26u2zTM8T6J5 After registering, you will receive a confirmation email containing information about joining the meeting. You will meet us all at some point in time:) First two meetings will be presented by Mihaela. We will each teach two consecutive meetings. UPDATE (09/17/2020): e met and all the documents (problems discussed and solutions given by you in class, are now shared with you via onedrive (app related to your outlook wisc account!)). I have also sent to you an invitation to use the witheboard attached to the same wisc account! But, do not feel discouraged in case you want to join later! You are always welcomed! Please check out the following book: Putnam and Beyond! We will use it throughout the meetings! The first list of problems is posted! Please email me if you want access to it! File:Putnam Problem Set 1.pdf

Meeting 23 SEPT 2020
Mihaela Ifrim

Zoom: Please join using the above link!
We discussed the problems given in the Putnam_Problem_Set_1 and their solutions are now posted on the shared folder. In addition I have also gave you the following problems to think at. File:Putnam September 23 2020.pdf

Meeting 30 SEPT 2020
Tatyana Shcherbyna 
ZOOM: Please consider joining !
The next meeting will cover NUMBER THEORY! Please see the attached list of problems!! Enjoy!!! File:Putnam nt1(1).pdf

Meeting 7 OCT 2020
Tatyana Shcherbyna 
ZOOM: Please join! Here is the list of problems for the next meeting!!! File:Putnam nt2.pdf If you have solutions for the previous proposed set of problems, please email them so that we can compile a set of solutions. We will post them in our onedrive folder. If you are new, please email us and we will give access to it! 
Meeting 14 OCT 2020
Mihaela Ifrim 
ZOOM: Please join! Here is the list of problems for the next meeting!!! File:PutnamProblemsandTheoryformOct14th2020short.pdf A more detailed list is posted on onedrive! 
Meeting 21 OCT 2020
Mihaela Ifrim 
ZOOM: Please join! We worked out some of the problem proposed on the previous meeting!!! File:PutnamProblemsandTheoryformOct14th2020short.pdf Some solutions will be posted on onedrive! Reach out to us if you would like access to the solutions and you did not register yet! 
Meeting 28 OCT 2020
Tatyana Shcherbina 
ZOOM: Please join! The next two meeting will cover Polynomials! Please see the attached list of problems!! Enjoy!!! File:Putnam pol1.pdf 
Meeting 4 Nov 2020
Tatyana Shcherbina 
Here are the theory discussed on Oct 28 and hints to the problems File:Putnam pol1 hints.pdf and File:Polynomials theory.pdf 
Meeting 4 Nov 2020
Tatyana Shcherbina 
Here are the solutions of Polynomials problems File:Putnam Oct28 sol.pdf 
Meeting 11 Nov 2020
Dima Arinkin 
On ZOOM (the link is above). The topic for the next two meetings is Linear algebra. Here are the problems I plan to discuss, and here is a short summary (from NWU) of some common linear algebra techniques for math contests. 
Contents
Spring 2020
The Putnam Club will help you prepare for the exam by practicing on problems from previous years and other olympiadstyle problems. The meeting time is 5pm on Wednesdays in VV B139.
The book we will mainly use as a guide in preparing our meetings is: "Putnam and Beyond" by Razvan Gelca and Titu Andreescu.
 February 5: Binomial coefficients and generating functions (Answers and hints) Botong
 February 19: Number theory (Answers and hints) Botong
 March 4 and 11: Inequalities ( Note comming up!) Kim
Fall 2019
The Putnam Club will help you prepare for the exam by practicing on problems from previous years and other olympiadstyle problems. The meeting time is 5pm on Wednesdays in VV B139. The first meeting will be on the 25th of September in Van Vleck hall, room B139.
We will continue using the Piazza page from last semester for discussions. The book we will mainly use as a guide in preparing our meetings is: "Putnam and Beyond" by Razvan Gelca and Titu Andreescu.
 September 25: Introductory meeting Botong
 October 2: Integral inequalities Mihaela
 October 9: More about Integral inequalities (I will post notes on Wednesday morning and we will discuss more in class!) Mihaela
 October 16: ODE of the first order Chanwoo
 November 6: Number theory Dima
 November 13: ??
 November 20: Geometry ( Note comming up!) Mihaela
 November 27: No meeting! Thanksgiving!
 December 4: Last meeting of the semester! Please come and bring your friends too!! It will be fun! Mihaela
Spring 2019
The Putnam Club will help you prepare for the exam by practicing on problems from previous years and other Olympiadstyle problems. The meeting time is 5pm on Wednesdays in VV B139. The first meeting will be on the 6th of February in Van Vleck hall, room B139.
! Important announcement: We will begin preparing you for the Putnam exam earlier this year. The material covered will be presented gradually. More details will be explained to you during your first meeting of this semester (Feb 6th). We put together a Piazza account that will help the participants to discuss and collaborate with their pairs. Here is the link you need to access in order to register for this "class": piazza.com/wisc/fall2018/putnam2018 . Our intervention on Piazza will be minimal (some of the instructors will, from time to time, visit the piazza questions and provide some help). Also, based on your requests, we have decided to structure our meetings in a way that will provide more insight on methods and certain tricks that are very often used in this type of math competitions. The book we will mainly use as a guide in preparing our meetings is: "Putnam and Beyond" by Razvan Gelca and Titu Andreescu.
 February 6: The basics by Botong
 February 13: Botong
 February 20: Alex Ordered Sets
 March 6th: Mihaela Algebra
 March 13: Mihaela
 March 27: Botong Matrices
If this material is completely new to you then read through the definitions in the first section and try the interspersed exercises which are direct applications of the definitions. If you are familiar with the basic material then review the problem solving strategies and the example problems which directly utilize the techniques. Finally, if you are a veteran, go ahead and jump right to the exercises!
 February 27: Alex: Review results from 2/20. Bring written solutions and/or be prepared to present your
 March 6th: Mihaela
 March 13: Mihaela
etc.
Fall 2018
The Putnam Club will help you prepare for the exam by practicing on problems from previous years and other olympiadstyle problems. The meeting time is 5pm on Wednesdays in VV B139. The first meeting will be on the 26th of September in Van Vleck hall, room B139.
! Important announcement: We put together a Piazza account that will help the participants to discuss and collaborate with their pairs. Here is the link you need to access in order to register for this "class": piazza.com/wisc/fall2018/putnam2018 . Our intervention on Piazza will be minimal (some of the instructors will, from time to time, visit the piazza questions and provide some help). Also, based on your requests, we have decided to structure our meetings in a way that will provide more insight on methods and certain tricks that are very often used in this type of math competitions. The book we will mainly use as a guide in preparing our meetings is: "Putnam and Beyond" by Razvan Gelca and Titu Andreescu.
 September 26: topic Introductory meeting by Mihaela Ifrim. We covered only the first 3 problems. I encourage you to work out all the problems!
 October 3: Linear Algebra by George Craciun.
 October 10: Polynomials by Botong Wang.
 October 17: Sequences by Alex Hanhart.
 October 24: Convergence and Continuity by Mihaela Ifrim.
 October 27: Virginia Tech Math Contest: 911:30am in VV B115.
 October 31: Geometry: cartesian coordinates, complex coordinates, circles and conics by George Craciun.
 November 7: Combinatorics: Set theory and geometric combinatorics by Botong Wang.
 November 14: Techniques from Group Theory by Alex Hanhart.
 November 21: No meeting: Happy Thanksgiving!
 November 28: Number Theory by Mihaela Ifrim.
 December 1: Putnam Competition! Starts at 9am!!!! The competition will take place December 1st 2018 (Saturday December 1st). The competition is administered in two sessions (A and B) on the same day, December 1st! Session A will start at 9 am and it will end at 12pm, and Session B will start at 2pm and it will end at 5pm. You should arrive at least 10 minutes prior to each session. You should bring your own pencils and pens (blue or black ink are permitted). Number 2 pencils with erasers will be needed to complete the identification forms. Erasers are also permitted, but nothing else will not be allowed in the exam room. I plan on bringing 20 such no 2 pencils. The exam room is B239 which is a class room located in Van Vleck Hall, at the level B2. Thank you all for participating and see you all there! If you have friends that would like to take the exam please encourage them to do so.
Spring 2018
The Putnam Club does not meet in the spring, but we had the fourth annual UW Undergraduate Math Competition on April 24th, 2018, 5:308pm in VV B239.
Fall 2017
The Putnam Club will help you prepare for the exam by practicing on problems from previous years and other olympiadstyle problems. The meeting time is 5pm on Wednesdays in VV B139.
 September 20: Introductory meeting by D.Arinkin
 September 27: Equations with functions as unknowns by M.Ifrim (by request: here is a solution to problem 6; problem 7 is problem B5 of 2016 Putnam exam; you can see the solution here).
 October 4: Inequalities by G.Craciun.
 October 11: Polynomials by D.Arinkin.
 October 18: Equations by M. Ifrim
 October 21: Virginia Tech Math Contest: 911:30am in VV B203.
 October 25: Review of this year's Virginia Tech Contest by G.Craciun.
 November 1: Functions and calculus by D.Arinkin.
 November 8: Past Competitions by M.Ifrim
 November 15: Recurrences by G.Craciun.
 November 22: No meeting: Happy Thanksgiving!
 November 29: Complex numbers by D.Arinkin.
 December 2: Putnam Exam in VVB115. Morning session: 912pm; Afternoon session: 25pm.
Spring 2016
The Putnam Club does not meet in the spring, but we had the third annual UW Undergraduate Math Competition on April 19th, 2017.
Fall 2016
 September 20: Introductory meeting
 September 27: Calculus and analysis
 October 4: Generating functions (by Vlad Matei)
 October 11: Review of last year's UW Math competition
 October 18: Functional equations
 October 22: Virginia Tech Math Contest
 October 25: Review of this year's VT contest
 November 1: Matrices (by Vlad Matei)
 November 15: Two algebra problems
 November 22: No meeting: Happy Thanksgiving!
 November 29: Assorted problems
 December 3: Putnam Exam: Morning session: 9amnoon, Afternoon session: 25pm in VV B135.
Spring 2016
The Putnam Club does not meet in the spring, but we had the second annual UW Undergraduate Math Competition on April 12th, 2016.
Fall 2015
.
 September 23rd: Introductory meeting
 September 30th: Pigeonhole principle
 October 7th: Review of 2015 UW math competition
 October 14th: Matrices and determinants
 October 21st: Virginia Tech practice
 October 24th: Virginia Tech Regional Mathematics Contest: 911:30 am
 October 28th: Review of the 2015 Virginia Tech contest.
 November 4th: Polynomials
 November 11th: Assorted problems
 November 18th: Assorted problems
 No meeting on November 25th
 December 2nd: TBA
 December 5th: Putnam competition: Morning session: 9am12pm, afternoon session: 25pm in VV B115.
Spring 2015
The Putnam Club does not meet in the spring, but we had our first UW Undergraduate Math Competition!
Fall 2014
 September 17: Introductory meeting
 September 22: Coloring and pigeonhole principle
 October 1st: Went through HW problems from last time
 October 8th: Number theory
 October 15th: Games
 October 22nd: Problems from last year's Virginia Tech contest
 October 25th: Virginia Tech Regional Mathematics Contest
 October 29th: Review of this year's Virginia Tech contest
 November 5th: Inequalities and functional equations
 November 12th: Polynomials
 November 19th: Combinatorics
 December 3rd: Recursions
 December 6th: Putnam competition: Morning session: 9am12pm, Afternoon session: 2pm5pm in Van Vleck B119
 December 10th: Review of this year's Putnam
Fall 2013
 September 11: Introductory Meeting
 September 18: Assorted Problems (by Yihe Dong)
 September 25: Combinatorics
 October 2: Matrices and Linear Algebra
 October 9: Number Theory
 October 16: Functions and Calculus
 October 23: Polynomials
 October 26: Virginia Tech Regional Mathematics Contest
 October 30: Problems from this year's Virginia Tech contest
 November 6: Games
 November 13: Pigeonhole Principle
 November 20: Extreme Principle
 November 27: No meeting (Thanksgiving)
 December 4: TBA
 December 7: Putnam competition Morning session: 9am12pm, afternoon session: 25pm in VV B239.
Fall 2012
 September 11: Introduction Problems
 September 18: Some Basic Techniques Problems
 September 25: Polynomials and Algebra Problems
 October 2: Number Theory Problems
 October 9: Calculus Problems
 October 16: Games and Algorithms Problems
 October 23: Combinatorics Problems
 October 30: Probability Problems
 November 6: Linear Algebra Problems
 November 13: Grab Bag Problems
 November 27: Grab Bag 2 Problems
Fall 2011
 September 21: Pigeonhole Principle (Brian Rice) Problems
 September 28: Introduction to Counting (Brian Rice) Problems
 October 5: Elementary Number Theory (Brian Rice) Problems, Problems (Hardcore)
 October 12: Polynomials (Brian Rice) Problems, Problems (Hardcore)
 October 19: A Grab Bag of Discrete Math (Brian Rice) Problems
 October 26: Calculus, Week 1 (Brian Rice) Problems
 November 2: Calculus, Week 2 (Brian Rice) Problems
 November 9: Linear and Abstract Algebra (Brian Rice) Problems
 November 16: Mock Putnam Problems, Solutions