# Qualifying exams

Qualifying examinations are offered twice a year: once in August, before the beginning of the Fall semester, and once in May, after the end of the Spring semester. Because of the 18-month rule above, students have three opportunities to pass each exam (including an opportunity to do so immediately on arrival).

These examinations are focused on two main subjects: Algebra and Analysis.

The Algebra exam contains three parts:

Part A is mandatory for all students. Parts B and C are alternatives to one another. Each part of the exam will contain four questions, and correct answers to two of these four will ensure a pass on that part.

To pass the Algebra exam, you must either pass Part A and Part B, or Part A and Part C.

Similarly, the Analysis exam contains three parts:

Each part will contain four questions, and correct answers to two of these four will ensure a pass on that part. To pass the Analysis exam, you must either pass Part A and Part B, or Part A and Part C.

The qualifying exams in Algebra and in Analysis are offered on different days, the same week. On the day of each exam, Part A is given in the morning, while parts B and C are given in the afternoon. It is possible for a student to pass Part A in one attempt, and Part B or C at a different date. For example, one may pass Algebra A in August upon arrival, then pass Algebra B and Parts A and C of Analysis in May the following year.

The subjects of the exams are given in the table below, which also shows the number of the graduate-level course that prepares for that part of the exam.

Algebra A | Linear Algebra | Math 535 | Sample Problems |

Algebra B | Abstract Algebra | Math 536 | Sample Problems |

Algebra C | Applied Algebra | Math 524 | Sample Problems |

Analysis A | Real Analysis | Math 501 | Sample Problems |

Analysis B | Complex Analysis | Math 502 | Sample Problems |

Analysis C | Functional Analysis | Math 503 | Sample Problems |

Clicking on the links in the above table will take you to a detailed syllabus for the exam and to a list of sample problems produced by the Qualifying Exam Board. These sample problems are similar to those that will appear on the new qualifying exams themselves. The following is a list of qualifying exams for the past years.

Fall 2014 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Spring 2014 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Fall 2013 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Spring 2013 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Fall 2012 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Spring 2012 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Fall 2011 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Spring 2011 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |

Fall 2010 |
Algebra A Algebra BC |
Analysis A Analysis BC |

Spring 2010 |
Algebra A Algebra BC |
Analysis A Analysis BC |

Fall 2009 |
Algebra A Algebra BC |
Analysis A Analysis BC |

Spring 2009 |
Algebra A Algebra BC |
Analysis A Analysis BC |

Fall 2008 |
Algebra A Algebra B Algebra C |
Analysis A Analysis B Analysis C |