# Mathematics M.A./M.S.

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.

**This program currently offers rolling admissions. **See instructions on how to apply:

## Degree Requirements

Candidates must complete an approved 45-credit program that includes at least 30 credits in mathematics or statistics. These 30 credits must include approved courses distributed as follows: two 6-credit sequences at the 600 level, 6 additional credits 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.

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.

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 Office of Graduate Studies web site.

### Approved courses for the degree:

Mth 511 | Introduction to Real Analysis I | 3 |

Mth 512 | Introduction to Real Analysis II | 3 |

Mth 513 | Introduction to Real Analysis III | 3 |

Mth 520 | Introduction to Complexity Theory | 3 |

Mth 521 | Theory of Ordinary Differential Equations I | 3 |

Mth 522 | Theory of Ordinary Differential Equations II | 3 |

Mth 523 | Theory of Ordinary Differential Equations III | 3 |

Mth 524 | Elementary Differential Geometry I | 3 |

Mth 525 | Elementary Differential Geometry II | 3 |

Mth 527 | Partial Differential Equations I | 3 |

Mth 528 | Partial Differential Equations II | 3 |

Mth 530 | Topics in Mathematical Modeling | 3 |

Mth 531 | Topics in Geometry I | 3 |

Mth 532 | Topics in Geometry II | 3 |

Mth 533 | Topics in Geometry III | 3 |

Mth 534 | Set Theory and Topology I | 3 |

Mth 535 | Set Theory and Topology II | 3 |

Mth 536 | Set Theory and Topology III | 3 |

Mth 540 | Boolean Algebra | 4 |

Mth 541 | Introduction to Abstract Algebra I | 3 |

Mth 542 | Introduction to Abstract Algebra II | 3 |

Mth 543 | Introduction to Abstract Algebra III | 3 |

Mth 544 | Advanced Linear/Multilinear Algebra I | 3 |

Mth 545 | Advanced Linear/Multilinear Algebra II | 3 |

Mth 549 | Topics in Advanced Number Theory | 3 |

Mth 551 | Numerical Calculus I | 3 |

Mth 552 | Numerical Calculus II | 3 |

Mth 553 | Numerical Calculus III | 3 |

Mth 556 | Topics in Combinatorics | 3 |

Mth 557 | The Mathematical Theory of Games | 3 |

Mth 558 | The Mathematical Theory of Games | 3 |

Mth 561 | Graph Theory I | 3 |

Mth 562 | Graph Theory II | 3 |

Mth 570 | Complex Analysis and Boundary Value Problems I | 3 |

Mth 571 | Complex Analysis and Boundary Value Problems II | 3 |

Mth 572 | Complex Analysis and Boundary Value Problems III | 3 |

Mth 577 | Mathematical Control Theory I | 3 |

Mth 578 | Mathematical Control Theory II | 3 |

Mth 580 | Systems Analysis: Calculus of Variations | 3 |

Mth 611 | Theory of Functions of a Real Variable I | 3 |

Mth 612 | Theory of Functions of a Real Variable II | 3 |

Mth 613 | Theory of Functions of a Real Variable III | 3 |

Mth 614 | Modern Analysis I | 3 |

Mth 615 | Modern Analysis II | 3 |

Mth 616 | Modern Analysis III | 3 |

Mth 617 | Functional Analysis I | 3 |

Mth 618 | Functional Analysis II | 3 |

Mth 619 | Functional Analysis III | 3 |

Mth 621 | Advanced Differential Equations I | 3 |

Mth 622 | Advanced Differential Equations II | 3 |

Mth 623 | Advanced Differential Equations III | 3 |

Mth 624 | Advanced Differential Geometry I | 3 |

Mth 625 | Advanced Differential Geometry II | 3 |

Mth 626 | Advanced Differential Geometry III | 3 |

Mth 634 | Algebraic Topology I | 3 |

Mth 635 | Algebraic Topology II | 3 |

Mth 636 | Algebraic Topology III | 3 |

Mth 637 | Geometric Topology I | 3 |

Mth 638 | Geometric Topology II | 3 |

Mth 639 | Geometric Topology III | 3 |

Mth 641 | Modern Algebra I | 3 |

Mth 642 | Modern Algebra II | 3 |

Mth 643 | Modern Algebra III | 3 |

Mth 651 | Advanced Numerical Analysis I | 3 |

Mth 652 | Advanced Numerical Analysis II | 3 |

Mth 653 | Advanced Numerical Analysis III | 3 |

Mth 661 | Algebraic Graph Theory I | 3 |

Mth 662 | Algebraic Graph Theory II | 3 |

Mth 663 | Algebraic Graph Theory III | 3 |

Mth 667 | Stochastic Processes and Probability Theory I | 3 |

Mth 668 | Stochastic Processes and Probability Theory II | 3 |

Stat 561 | Mathematical Statistics I | 3 |

Stat 562 | Mathematical Statistics II | 3 |

Stat 564 | Applied Regression Analysis | 3 |

Stat 565 | Experimental Design: Theory and Methods | 3 |

Stat 566 | Experimental Design: Theory and Methods | 3 |

Stat 567 | Applied Probability I | 3 |

Stat 661 | Advanced Mathematical Statistics I | 3 |

Stat 662 | Advanced Mathematical Statistics II | 3 |

Stat 663 | Advanced Mathematical Statistics III | 3 |

Stat 664 | Theory of Linear Models I | 3 |

Stat 665 | Theory of Linear Models II | 3 |

Stat 666 | Theory of Linear Models III | 3 |

### Approved electives for the degree:

Mth 581 | Topics in Probability for Mathematics Teachers | 2-3 |

Mth 582 | Topics in Statistics for Mathematics Teachers | 2-3 |

Mth 583 | Topics in Geometry for Mathematics Teachers | 2-3 |

Mth 585 | Topics in Analysis for Mathematics Teachers | 2-3 |

Mth 586 | Topics in The History of Mathematics | 2-3 |

Mth 587 | Topics in Discrete Mathematics for Mathematics Teachers | 2-3 |

Mth 588 | Topics in Computing for Mathematics Teachers | 1-3 |