# Master of Arts/Master of Science in Mathematics

The Master of Arts/Master of Science in Mathematics program is designed for the student who wishes to prepare for community college teaching, industrial work in mathematics, or further advanced work toward a Ph.D. in mathematics.

**Admission:**

**Program Prerequisites:** Transcript(s) must show satisfactory completion of at least the following undergraduate courses: linear algebra, abstract algebra/group theory, introductory analysis/advanced calculus, and differential equations. (These are equivalent to the following PSU courses: MTH 261, MTH 344, MTH 311 and MTH 256.)

In addition to program prerequisites, applicants must meet the university's minimum admission requirements including English language proficiency.

**Instructions on how to apply:** http://www.pdx.edu/math/graduate-admissions

**Cost and Funding:**

Please see the Office of Graduate Studies web page Financing Your Education for information regarding the cost of attending Portland State University and sources of funding. Several forms of departmental graduate support are available, including, but not limited to, Teaching Assistantships and Scholarships. The Department may be contacted for further details. Applicants desiring a teaching assistantship should apply to the graduate program by February 1st for entry the following fall quarter.

**Degree Requirements:**

Candidates must complete an approved 45-credit program which includes at least 30 credits in mathematics or statistics. These 30 credits must include courses distributed as follows: two 9-credit sequences at the 600 level and the 3-credit Mth 501 Mathematical Literature and Problems. In addition, the student must pass two written Master's examinations. Students interested in pursuing the MA degree must also show proficiency in a second language.

**Approved Courses for the Degree:**

COURSE SUBJECT NUMBER(S) |
COURSE TITLE |

Mth 511,512,513 | Introduction to Real Analysis |

Mth 520 | Introduction to Complexity Theory |

Mth 521,522,523 | Theory of Ordinary Differential Equations |

Mth 524,525 | Elementary Differential Geometry & Tensor Analysis |

Mth 527,528 | Partial Differential Equations |

Mth 530 | Topics in Mathematical Modelling |

Mth 531,532,533 | Topics in Geometry |

Mth 534,535,536 | Set Theory and Topology |

Mth 540 | Boolean Algebra |

Mth 541,542,543 | Introduction to Abstract Algebra |

Mth 544,545 | Advanced Linear/Multilinear Algebra |

Mth 549 | Topics in Advanced Number Theory |

Mth 551,552,553 | Numerical Calculus |

Mth 557,558 | The Mathematical Theory of Games |

Mth 561,562 | Graph Theory |

Mth 570,571,572 | Complex Analysis & Boundary Value Problems |

Mth 577, 578 | Mathematical Control Theory |

Mth 580 | Systems Analysis: Calculus of Variations |

Mth 611,612,613 | Theory of Functions of a Real Variable |

Mth 614,615,616 | Modern Analysis |

Mth 617,618,619 | Functional Analysis |

Mth 621,622,623 | Advanced Differential Equations |

Mth 624,625,626 | Advanced Differential Geometry |

Mth 634, 635, 636 | Algebraic Topology |

Mth 637,638,639 | Geometric Topology |

Mth 641,642,643 | Modern Algebra |

Mth 651,652,653 | Advanced Numerical Analysis |

Mth 661,662,663 | Algebraic Graph Theory |

Mth 667,668,669 | Stochastic Processes and Probability Theory |

Stat 561,562,563 | Mathematical Statistics |

Stat 564 | Applied Regression Analysis |

Stat 565,566 | Experimental Design: Theory and Methods |

Stat 567, 568 | Applied Probability |

Stat 661,662,663 | Advanced Mathematical Statistics |

Stat 664,665,666 | Theory of Linear Models |

Check with the program adviser for additional courses, including omnibus-numbered courses, which also may be approved for MA/MS programs. "Approved" means that it is approved toward fulfilling the 30 mathematics/statistics credit hours for the MA/MS Math program.

**Courses Approved as Electives for the Degree: **

Mth 581 Probability for Mathematics Teachers

Mth 582 Statistics for Mathematics Teachers

Mth 583 Topics in Geometry for Mathematics Teachers

Mth 584 Topics in Algebra for Mathematics Teachers

Mth 585 Topics in Analysis for Mathematics Teachers

Mth 586 Topics in the History of Mathematics

Mth 587 Discrete Mathematics for Teachers (formerly Introduction to Combinatorial Mathematics)

Mth 588 Computing Technology for Mathematics Teachers

"Approved as elective" means that it is approved inside the 45 total credit hours but not inside the 30 mathematics/statistics credit hours. Check with the program adviser for additional approved electives.

**MA/MS Examinations:**

Students must pass two written examinations, one of which must be in either Algebra or Analysis. Other subject areas include: Discrete Math, Geometry, Mathematical Statistics, Numerical Methods, Ordinary Differential Equations, Partial Differential Equations and Set Theory/Topology. Exams are offered twice a year, during the week prior to the start of fall term and during the first week of spring term. Students may take a given area examination at most two times. The MA/MS Examination Policy as well as syllabi for the exams can be emailed upon request. Students may also request copies of the last three years of master's examinations. Please note that you must be registered for and complete at least one graduate credit during the term(s) in which you take your exams.

**MTH 501 Mathematical Literature and Problems:**

In this required course, a student works under the supervision of a faculty member in an area of mathematics in which the student has acquired the background needed to read current mathematical literature, prepare a research paper, and present this research in a colloquium. Requirements for the course are contained in Guidelines and Deadlines for Literature and Problems Seminar which is also available in the department office. Please note that you must be registered for at least one graduate credit during the term in which you plan to present your 501 research.

**Planning an MA/MS Mathematics Degree Program:**

The department offers courses in pure and applied mathematics and in statistics. Students may choose an emphasis in one or more of these areas. The department tries to project its future 600-level offerings. These projections enable students to plan programs that include any necessary 500-level prerequisites. Students also need to plan programs that will prepare them to pass two MA/MS examinations, at least one of which is in Algebra or Analysis. New students are urged to meet with the MA/MS Coordinator regarding degree requirements and for help with program planning.

**Questions?**

For questions on how to apply to the program, please contact Graduate Program Administrator Kathie Leck, leck@pdx.edu, 503-725-8244. For advising questions, contact Dr. Mau Nam Nguyen, Lead Program Adviser, 503-725-3659, mnn3@pdx.edu.