# 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.)

**This program currently offers rolling admissions. **See instructions on how to apply: https://www.pdx.edu/math/how-to-apply

**Cost and Funding:**

Please see the University's Tuition and Fees web page. Use the cost of attendance estimator tool for a rough estimate of your attendance costs per term. The degree is 45 credits. You could finish the degree in 5 quarters (not counting summer term) with full-time enrollment of three classes per term (9 credits).

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 that includes at least 30 credits in mathematics or statistics. **Students shall select either Option A or Option B.**

**Option A.** The student must satisfy the following requirements:

· Complete 30 credits in Mathematics and Statistics which include approved courses distributed as follows: two 6-credit sequences at the 600 level, 6 additional credits at the 600 level, and a 3-credit Mth 501 course on Mathematical Literature and Problems,

· Pass one written Master’s examination in either Algebra or Analysis.

**Option B.** The student must satisfy the following requirements:

· Complete 30 credits in Mathematics and Statistics which include approved courses distributed as follows: two 6-credit sequences at the 600 level, 6 additional credits at the 600 level,

· Pass two written Master’s examinations, one of which must be in either Algebra or Analysis.

Regardless of the option, students interested in pursuing the MA degree must also show proficiency in a second language.

A student must have a minimum 3.00 GPA on the courses applied to the program of study, as well as a minimum 3.00 GPA in all graduate-level courses taken at PSU. Although grades of C+, C, and C- are below the graduate standard, they may be counted as credit toward a master’s degree with the specific written approval of the department if taken at PSU after the term of formal admission to the graduate program. All courses counting toward the degree must be letter-graded. The pass/no pass option is not allowed.

Students are responsible for knowing University-level graduate policies and procedures for obtaining the degree. These policies and procedures are in Graduate Studies section of the PSU Bulletin. Several of the most frequently asked about University-level graduate policies and procedures can also be found on the Graduate School's website.

COURSE SUBJECT NUMBER(S) |
COURSE TITLE |

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

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 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 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 Topics in Probability for Mathematics Teachers

Mth 582 Topics in 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 Topics in Discrete Mathematics for Teachers

Mth 588 Topics in 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:**

Depending on the option chosen, students must pass one or two Master’s exams.

**Option A. ** Student must pass one written examination in either Algebra or Analysis.

**Option B.** Student 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. Syllabi and the last six previously given exams for each topic are available. You must be registered for and complete at least one graduate credit during the term(s) in which you take your exams. See the full MS Exam Policy.

**MTH 501 Mathematical Literature and Problems:**

In this 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 Course Projection Guide (CPG) lists the projected future 600-level course 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 one MA/MS examination or two MA/MS examinations depending on the degree option. New students are urged to meet with the MA/MS Coordinator regarding degree requirements and for help with program planning.

**Questions?**

For academic advising or career questions, refer to our contact page.

For admissions advising: Dr. Nam Nguyen, Application Evaluator/Adviser, mnn3@pdx.edu, 503-725-3659

For policy or application questions: Kathie Leck, Graduate Program Administrator, mathstatgrad@pdx.edu, 503-725-8244.