This is a combination of Qualifying Exams and Basic Coursework. We offer 5 distinct qualifying exams, twice a year (January and August), consisting of 4hour long written exams in the following subjects:

- Algebra
- Complex Analysis
- Geometry/Topology
- Numerical/Applied Analysis
- Real Analysis

These exams are designed to assess that student’s competence in basic mathematical skill and knowledge in each of these areas at the level of the core courses displayed below. In order to fulfill the requirement, a student must pass at least 2 qualifying exams and take at least 2 full-year core sequences (with at least a B grade)out of the following table of basic level courses:

Group I |
Group II |
Group III |
Group IV |

AlgebraMath 653/Math 654 | Real AnalysisMath 607/Math 608 | Diff. GeometryMath 622/Math623 | Applied AnalysisMath 641/Math 642 |

Discrete Math/Number TheoryMath 613/Math 630/Math 627 | Complex AnalysisMath 617/Math 618 | TopologyMath 636/Math 637 | Numerical AnalysisMath 609/Math 610 |

Furthermore, the choices must be made so that the combination of qualifying exams and core sequences cover at least three out of the four groups displayed in the columns of the table above. A typical student is expect to have fulfilled the qualifying requirements by the end of the second year of enrollment.

**Timetable for the Qualifying Exams**

To be considered in good academic standing in the Ph.D. program, a student must have passed two qualifying exams by the end of their second year in the Ph.D. program. For the purpose of the qualifying exam timetable, students will be considered to have begun their Ph.D. program with the Fall semester occurring in the calendar year in which they first enroll in the program.

Except for students being admitted to the Ph.D. program upon completion of a M.S. degree in mathematics at Texas A&M University, the following guidelines apply:

- Students are expected to have passed at least one qualifying exam by the end of their first year in the Ph.D. program.
- Students are expected to have passed at least two qualifying exams by the end of their second year in the Ph.D. program.

Since students being admitted to the Ph.D. program upon completion of a M.S. degree in Mathematics at Texas A&M University must have already passed at least one Ph.D. qualifying exam prior to admission to the Ph.D. program, the following amended guideline will apply:

- Students are expected to have passed their second qualifying exam by the end of their first year in the Ph.D. program.

An archive with previous Qualifying Exams can be found here. Students have the option of passing additional qualifying exams in place of taking the additional two full qualifying exam course sequences.

Algebra | Applied/Numerical | Complex Analysis | Real Analysis | Topology/Geometry |
---|---|---|---|---|

Syllabus | Syllabus | Syllabus | Syllabus | Syllabus |

January 2009 | January 2009 | August 2008 | January 2009 | August 2008 |

August 2009 | August 2009 | January 2009 | August 2009 | January 2009 |

August 2009 | August 2009 |

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