Master of Arts/Master of Science in Mathematics
The MA/MS 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 PhD 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.
Application Deadline
This program currently offers rolling admissions for each term (fall, winter, spring, summer). The application closes 2 weeks before the term starts.
Application Instructions
Cost and Funding
Refer to the University Student Finance web page for tuition and financial aid information.
The department offers a limited number of Teaching Assistantships, Research Assistantships, Fellowships, and Scholarships. Program applicants are able to indicate their interest in an assistantship as part of the online program application.
Degree Requirements
Planning a 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 600level course offerings. These projections enable students to plan programs that include any necessary 500level 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 Mathematics advisor regarding degree requirements and for help with program planning.
Students interested in pursuing the MA degree must also show proficiency in a second language.
Course Requirements
Candidates must complete an approved 45credit 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 6credit sequences at the 600 level, 6 additional credits at the 600 level and a 3credit 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 6credit 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.
Course Subject Number  Course Title 

Mth 511, 512, 513  Introduction to Real Analysis I, II, III 
Mth 521, 522, 523  Theory of Ordinary Differential Equations I, II, III 
Mth 524, 525  Elementary Differential Geometry I, II 
Mth 527, 528  Partial Differential Equations I, II 
Mth 530  Topics in Mathematical Modelling 
Mth 531, 532, 533  Topics in Geometry I, II, III 
Mth 534, 535, 536  Set Theory and Topology I, II, III 
Mth 541, 542, 543  Introduction to Abstract Algebra I, II, III 
Mth 544, 545  Advanced Linear/Multilinear Algebra I, II 
Mth 549  Topics in Advanced Number Theory 
Mth 551, 552, 553  Numerical Calculus I, II, III 
Mth 556  Topics in Combinatorics 
Mth 557, 558  The Mathematical Theory of Games I, II 
Mth 561, 562  Graph Theory I, II 
Mth 564, 565  Numerical Optimization I, II 
Mth 570, 571, 572  Complex Analysis & Boundary Value Problems I, II, III 
Mth 577, 578  Mathematical Control Theory I, II 
Mth 611, 612, 613  Theory of Functions of a Real Variable I, II, III 
Mth 614, 615, 616  Modern Analysis I, II, III 
Mth 617, 618, 619  Functional Analysis I, II, III 
Mth 621, 622, 623  Advanced Differential Equations I, II, III 
Mth 624, 625, 626  Advanced Differential Geometry I, II, III 
Mth 634, 635, 636  Algebraic Topology I, II, III 
Mth 637, 638, 639  Geometric Topology I, II, III 
Mth 641, 642, 643  Modern Algebra I, II, III 
Mth 651, 652, 653  Advanced Numerical Analysis I, II, III 
Mth 661, 662, 663  Algebraic Graph Theory I, II, III 
Mth 667, 668, 669  Stochastic Processes and Probability Theory I, II, III 
Stat 561, 562, 563  Mathematical Statistics I, II, III 
Stat 564  Applied Regression Analysis 
Stat 565, 566  Experimental Design: Theory and Methods I, II 
Stat 567, 568  Applied Probability I, II 
Stat 661, 662, 663  Advanced Mathematical Statistics I, II, III 
Stat 664, 665, 666  Theory of Linear Models I, II, III 
Check with the program adviser for additional courses, including omnibusnumbered 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.
Course Subject Number  Course Title 

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 the course 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.
Master's Exams
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: 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. Refer to the MS Exam Policy for further details.
MTH 501 Mathematical Literature and Problems
In this 3credit 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. You must be registered for at least one graduate credit during the term in which you plan to present your 501 research. Requirements for the course are contained in the Guidelines and Deadlines for Literature and Problems Seminar.
Grades
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 graduatelevel 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 lettergraded. The pass/no pass option is not allowed.
Graduate Policies & Procedures
Students are responsible for knowing Universitylevel graduate policies and procedures for obtaining the degree. These policies and procedures are in Graduate Studies section of the University Bulletin. Several of the most frequently asked about Universitylevel graduate policies and procedures can also be found on the Graduate School's website.