## ANNOUNCEMENTS

- Registration for Fall term opens Thursday, May 19, 2016.
- This page was last updated: .

## COURSE DESCRIPTION

The William Lowell Putnam Mathematics Competition is the most prestigious annual contest for college students. While the problems employ topics from a standard undergraduate curriculum, the ability to solve them requires a great deal of ingenuity, which can be developed through systematic and specific training. This class aims to assist the interested students in their preparation for the Putnam exam, and also, more generally, to treat some topics in undergraduate mathematics through the use of competition problems.

Serin Hong

GRADUATE STUDENT

382 Sloan

626-395-4366

Grading will be based on attendance and homework.

You are expected to attend class and submit homework every week. As some of the homework problems are quite difficult, it is expected that you will not be able to solve them all in a reasonable time. It is perfectly acceptable to submit solutions to only some problems in a set; or to submit partial solutions explaining what progress you have made and where you are stuck; or anything else that shows that you gave some thought to the problems.

While collaboration is encouraged, your goal in this class is to learn the largely individual skill of problem-solving. You should spend a significant amount of time tackling a problem on your own before you ask a friend. Even if you arrive at your solution through collaboration, your write-up should be entirely your own.

## TEXTBOOKS

The following books will be used as reference:

The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, by Kedlaya, Poonen and Vakil.

The William Lowell Putnam mathematical competition, Problems and solutions: 1965-1984, edited by Alexanderson, Klosinski and Larson.

The William Lowell Putnam Mathematical Competition. Problems and Solutions: 1938-1964, by Gleason, Greenwood and Kelly.

Putnam and Beyond by Gelca and Andreescu.

## LECTURE NOTES

Date | Description |
---|---|

09/27/2016 | Game Theory |

10/04/2016 | Sequences and Series |

10/11/2016 | Number Theory |

10/18/2016 | Counting and Probabilities |

10/25/2016 | Polynomials |

11/01/2016 | Real Functions |

11/08/2016 | Integrals |

11/15/2016 | Matrices and Determinants |

11/22/2016 | Geometry |

11/29/2016 | Graph Theory |

## HOMEWORK

Due Date | Homework | Solutions |
---|---|---|

10/04/16 | Problem Set 1 | |

10/11/16 | Problem Set 2 | |

10/18/16 | Problem Set 3 | |

10/25/16 | Problem Set 4 | |

11/01/16 | Problem Set 5 | |

11/08/16 | Problem Set 6 | |

11/15/16 | Problem Set 7 | |

11/22/16 | Problem Set 8 | |

11/29/16 | Problem Set 9 |