## Program goal

The Department of Mathematics and Applied Mathematics and the Department of Statistical Sciences and Operations Research jointly offer the M.S. in Mathematical Sciences.

The mission of the Department of Mathematics and Applied Mathematics is to foster excellence in mathematical research and to offer a strong undergraduate and graduate education that will prepare students for stimulating and rewarding employment, career and lifelong learning opportunities. In addition, the department strives to help all VCU students achieve a level of quantitative literacy and analytical skills enabling them to deal effectively with the quantitative issues that they will encounter throughout their lives.

The program offers maximum flexibility by allowing students, in consultation with their graduate committees, to design a course of study that will best develop competence in those areas most relevant to their scholarly and professional objectives. Students may obtain a designation on their transcripts indicating that their graduate study has emphasized the applied mathematics concentration by completing the requirements that are listed here. A student who has not satisfied the requirements for one of the program concentrations offered, but who has otherwise fulfilled all the requirements for a master’s degree, will be awarded a degree of Master of Science in Mathematical Sciences without any specialization.

## Student learning outcomes

- Students will develop creative-thinking skills to apply to mathematical problems and proofs.
- Students will be able to analyze mathematical arguments and write their own arguments and proofs.
- Students will be able to read and interpret mathematical literature including technical articles within their chosen mathematical subfield.
- Students will be able to use technology, including specialized computational and graphics software, to test the validity of certain conjectures, to solve problems, to conduct mathematical experiments and do mathematical research.

## VCU Graduate Bulletin, VCU Graduate School and general academic policies and regulations for all graduate students in all graduate programs

The VCU Graduate Bulletin website documents the official admission and academic rules and regulations that govern graduate education for all graduate programs at the university. These policies are established by the graduate faculty of the university through their elected representatives to the University Graduate Council.

It is the responsibility of all graduate students, both on- and off-campus, to be familiar with the VCU Graduate Bulletin as well as the Graduate School website and academic regulations in individual school and department publications and on program websites. However, in all cases, the official policies and procedures of the University Graduate Council, as published on the VCU Graduate Bulletin and Graduate School websites, take precedence over individual program policies and guidelines.

**Visit the Graduate study section for additional information on academic regulations for graduate students.**

## Degree candidacy requirements

A graduate student admitted to a program or concentration requiring a final research project, work of art, thesis or dissertation, must qualify for continuing master’s or doctoral status according to the degree candidacy requirements of the student’s graduate program. Admission to degree candidacy, if applicable, is a formal statement by the graduate student’s faculty regarding the student’s academic achievements and the student’s readiness to proceed to the final research phase of the degree program.

Graduate students and program directors should refer to the following degree candidacy policy as published in the VCU Graduate Bulletin for complete information and instructions.

**Visit the Graduate study section for additional information on degree candidacy requirements.**

## Graduation requirements

As graduate students approach the end of their academic programs and the final semester of matriculation, they must make formal application to graduate. No degrees will be conferred until the application to graduate has been finalized.

Graduate students and program directors should refer to the following graduation requirements as published in the Graduate Bulletin for a complete list of instructions and a graduation checklist.

**Visit the Graduate study section for additional information on graduation requirements.**

**Apply online at** graduate.admissions.vcu.edu**.**

## Admission requirements

Degree: | Semester(s) of entry: | Deadline dates: | Test requirements: |
---|---|---|---|

M.S. | Fall | Mar 1 | GRE – general |

Spring | Oct 1 | TOEFL (international students only) |

## Special requirements

- Students should follow priority deadlines for funding consideration.

In addition to the general admission requirements of the VCU Graduate School, the following requirements represent the minimum acceptable standards for admission:

- Thirty credit hours in undergraduate mathematical sciences, computer science or related areas of which at least 18 credit hours must represent upper-level courses
- Three letters of recommendation pertaining to the student’s potential ability as a graduate student in mathematical sciences

Provisional admission may be granted when deficiencies exist. These deficiencies must be removed by the end of the first year of residence, or its part-time equivalent, when the student’s application will be re-examined. Courses that are remedial or designed to remove deficiencies will not be accepted for credit hours toward the fulfillment of the course requirements for the master’s degree.

## Degree requirements

In addition to the VCU Graduate School graduation requirements, students are required to complete course work in core and elective courses and to meet the following requirements.

- Credit hour requirements. Students in the M.S. in Mathematical Sciences program are required to earn a minimum of 30 graduate-level credit hours. At least one-half of the credit hours presented for graduation must be at the 600 level or higher.
- Other requirements. For the non-thesis option, students must pass a comprehensive exam in the 600-level sequence (six credit hours) in the core and a comprehensive exam in two additional MATH courses (three credit hours each) of their choice.

## Curriculum requirements

### Thesis option

Concentration core courses | ||

MATH 507 | Bridge to Modern Analysis | 3 |

Select one of the following: | 6 | |

Abstract Algebra I and Abstract Algebra II | ||

Measure and Integration Theory and Functional Analysis I | ||

Complex Analysis I and Complex Analysis II | ||

Graph Theory I and Graph Theory II | ||

Additional courses | ||

MATH 690 | Research Seminar ^{1} | 1-3 |

MATH 697 | Directed Research ^{1} | 0-3 |

MATH 698 | Thesis (three or six hours) ^{1} | 3 or 6 |

Mathematical sciences electives (Choose courses from list one below) | 6 | |

Mathematical sciences or allied field electives (Choose courses from list two below) | 6-9 |

^{1} | A maximum total of seven credit hours for MATH 690, MATH 697 and MATH 698 may count toward the degree. |

### Total graduate credit hours required (minimum) 30

### Non-thesis option

Concentration core courses | ||

MATH 507 | Bridge to Modern Analysis | 3 |

Select one of the following: | 6 | |

Abstract Algebra I and Abstract Algebra II | ||

Measure and Integration Theory and Functional Analysis I | ||

Complex Analysis I and Complex Analysis II | ||

Graph Theory I and Graph Theory II | ||

Additional courses | ||

MATH 690 | Research Seminar ^{1} | 2-5 |

MATH 697 | Directed Research ^{1} | 0-3 |

Mathematical sciences electives (Choose courses from list one below) | 9 | |

Mathematical sciences or allied field electives (Choose courses from list two below) | 6-9 |

^{1} | A maximum total of four credit hours for MATH 690 and MATH 697 may count toward the degree. |

### Total graduate credit hours required (minimum) 30

#### List one: recommended electives in mathematical sciences

MATH 505 | Modern Geometry | 3 |

MATH 509 | General Topology I-II | 3 |

MATH 510 | General Topology I-II | 3 |

MATH 512 | Complex Analysis for Applications | 3 |

MATH 521 | Introduction to Algebraic Number Theory | 3 |

MATH 525 | Introduction to Combinatorial Mathematics | 3 |

MATH 556 | Fundamentals of Graph Theory I | 3 |

MATH 591 | Topics in Mathematics | 1-3 |

MATH 601 | Abstract Algebra I | 3 |

MATH 602 | Abstract Algebra II | 3 |

MATH 607 | Measure and Integration Theory | 3 |

MATH 610 | Advanced Linear Algebra | 3 |

MATH 691 | Special Topics in Mathematics | 1-3 |

MATH 707 | Functional Analysis I | 3 |

MATH 711 | Complex Analysis I | 3 |

MATH 712 | Complex Analysis II | 3 |

MATH 750 | Combinatorics I-II | 3 |

MATH 751 | Combinatorics I-II | 3 |

MATH 756 | Graph Theory I | 3 |

MATH 757 | Graph Theory II | 3 |

#### List two: recommended electives in mathematical sciences or allied field

MATH 500- or 600-level courses except the following: | ||

Algebraic Structures and Functions | ||

Using Technology in the Teaching of Mathematics | ||

Number and Operations | ||

Geometry and Measurement | ||

Functions and Algebra | ||

Statistics and Probability | ||

Rational Numbers and Proportional Reasoning | ||

Functions and Algebra II | ||

OPER 500- or 600-level courses | ||

STAT 500- or 600-level courses except the following: | ||

Introduction to Social Statistics | ||

Statistical Methods I | ||

Statistics for Social Research |

**Graduate program director**

Angela M. Reynolds, Ph.D.

Associate professor

Email: areynolds2@vcu.edu

Phone: (804) 828-1319

**Additional contact**

J. Alex McWhorter

Administrative assistant

Email: mcwhorterja@vcu.edu

Phone: (804) 828-6820

**Program website:** math.vcu.edu

**Program email: mathgrad@vcu.edu**