Welcome to the problem seminar and let’s have fun with mathematics! Our intention is to have a great time while expanding our mathematical horizons in a challenging way. In class, solutions are presented or problems are discussed with the aim of working toward solutions. The problems will resemble the style of problems on the Math Olympiad or Putnam exam, with very basic prerequisites — MATH 1122, 1132, 121, 1152, 2142 — but sometimes involve difficult tricks. We will try to rotate topics to cover as many problem-solving tricks as possible.

**Even if you are not registered for this class, you are welcome to attend the lectures.**

This course should be good preparation for the Calculus competition in Spring 2021, or the Putnam competition in Fall 2020. Most, if not all, of you should plan to take these competitions. It is in no way required, but is a good way to enhance your problem-solving experience.

### Course Organizers

Vasileios Chousionis | MONT 325 | vasileios.chousionis@uconn.edu |

Maksym Derevyagin | MONT 310 | maksym.derevyagin@uconn.edu |

Aurel Mihai Fulger | MONT 323 | mihai.fulger@uconn.edu |

Sean Li | MONT 334 | sean.li@uconn.edu |

Ovidiu Munteanu | MONT 434 | ovidiu.munteanu@uconn.edu |

### Problem Workshops

Surath Fernando | surath.fernando@uconn.edu |

### Grading scheme

There will be homeworks assigned after the meetings, but we will not collect your solutions. For the first time this semester, there will be two problem workshops run by Surath Fernando, who is a graduate student in our department. Your grade will be decided by a final exam consisting of problems of similar difficulty to the homework problems, so it will be quite harder than a usual final math exam at UConn.

### Course Schedule

There will be 5 remote lectures and 2 problem workshops this semester. Here is the detailed schedule. Most lectures will be performed online on Tuesdays 4-5:30 PM. You will receive the links by email ahead of time.

Dates | Instructor | Topic |

September 08 | Ovidiu Munteanu | Inequalities |

September 22 | Maksym Derevyagin | Quadratic Polynomials |

October 06 | Vasileios Chousionis | Mean Value Theorems |

October 20 | Surath Fernando | Problem Workshop from the first three lectures |

Novermber 03 | Sean Li | Combinatorics and Probability |

November 17 | Mihai Fulger | TBD |

December 01 | Surath Fernando | Problem Workshop from the last two lectures |

### Useful Resources

- Kiran Kedlaya keeps a list of past Putnam problems here (after 1985)

### Past Putnam Competition Results

#### 2019 Putnam Competition

- Team rank: 131
- Top scores at UConn: 1. Thomas Strelecki ; 2. Nicholas Juricic; 3. Sean O’ Hagan, Keegan T. Yao,Evan Faulkner.

#### 2018 Putnam Competition

- Team rank: 93
- Top scores at UConn: 1. Ahmad-Fikri Anuar; 2. Thomas Strelecki ; 3. Evan Faulkner, Mason Dicicco, Keegan T. Yao.

#### 2017 Putnam Competition

- Team rank: 103
- Top scores at UConn: 1. John M. Cizeski; 2. Oliver F. Kisielius, Ahmad-Fikri Anuar; 3. Keegan T. Yao, Jake A. Murphy.

#### 2016 Putnam Competition

- Team rank: 49
- Top scores at UConn: 1. Timothy Smits; 2. Patrick Adams, Surath Fernando, Vyas Krishnamurty; 3. Lindsay Cadwallader, Ellizabeth Lauri.

#### 2015 Putnam Competition

- Team rank: 60
- Top scores at UConn: 1. Patrick Adams (top 500 nationwide); 2. Lindsay Cadwallader; 3. Timothy Smits.

#### 2014 Putnam Competition

- Team rank: 85
- Top scores at UConn: 1. Daniel O’Connell (top 500 nationwide); 2. Patrick Adams; 3. Lindsay Cadwallader, Nicole Chubet, Neil Dokurno, Elizabeth Lauri.

### Past Problem seminar pages

- 2016 Fall problem seminar
- 2017 Spring problem seminar
- 2017 Fall problem seminar
- 2018 Fall problem seminar
- 2019 Spring problem seminar
- 2019 Fall problem seminar
- 2020 Spring problem seminar