# Mathematics, MS

**Offered in:** Chicago

The MS program in Mathematics is designed to train students in mathematics that can be readily applied to practical, real-world problems, including those in actuarial science, probability, statistics, and computer science, and to allow students to pursue mathematics as an intellectual discipline. The program accepts properly prepared students who wish to attend on either a part- or full-time basis. Course offerings are concentrated in the evenings to accommodate students who are employed during the day.

## Admission

Applicants for admission to graduate work in Mathematics must meet the general requirements for admission to graduate work in the university. Students must have completed an undergraduate degree, not necessarily in mathematics, but must have completed linear algebra (equivalent to MATH 246 LINEAR ALGEBRA at Roosevelt) and at least three semesters of calculus (equivalent to MATH 231 CALCULUS I, MATH 232 CALCULUS II and MATH 233 CALCULUS III at Roosevelt) with grades of C- or higher and with a B (3.0) average. Students who wish to join the MS program but who are lacking some of these courses are encouraged to complete them prior to application, either at Roosevelt or elsewhere.

Each concentration in the MS has its own set of additional prerequisite courses. Students may enroll in prerequisite courses and certain graduate courses concurrently, provided the prerequisites for those graduate courses have been satisfied.

**Advising**

Following acceptance to the program, students meet with the graduate advisor to plan a program of study. Students must select one of three concentrations (actuarial science, computer science, or statistics) for their program of study. All students are required to obtain approval for their course selections each semester. All courses presented for the degree must be approved by the graduate advisor. Up to 9 credit hours of transfer credit may be considered for the program; however, all such credit must be at the graduate level and may not be applied to any other earned degree.

**Actuarial Science Concentration**

Actuaries use quantitative tools to analyze and plan for future financial situations. Admission requirements for the program are the same as those for the MS in mathematics except that an accounting course is also required. There are two additional prerequisite courses listed below.

The completed degree requires a total of 33 hours. In addition to a core of mathematical probability and statistics, candidates should take courses that prepare them for the actuarial professional exams. The electives, therefore, include a combination of math, finance, and economics classes. If any of the core courses were taken as an undergraduate, substitutions may be made from the math electives with the approval of the graduate advisor.

### Prerequisites

Graduate students must satisfactorily complete the prerequisite courses listed below with grades of C- or higher and with a B (3.0) average, as well as any courses required of international students by the English Language Program. It is possible to make up any deficiencies after being admitted as a graduate student, but no credit will be granted towards the degree for meeting these requirements. Students may enroll in prerequisite courses and certain graduate courses concurrently, provided the prerequisites for those graduate courses have been satisfied. The prerequisite courses are:

Code | Title | Credit Hours |
---|---|---|

Prerequisites for the Actuarial Science Concentration | ||

PRINCIPLES OF ACCOUNTING I ^{Or other accounting course} | ||

PROBABILITY THEORY | ||

FINANCIAL MATH |

For descriptions of these prerequisites, see the undergraduate catalog. Program prerequisites must be completed within the first year (18 credit hours) of coursework. Any prerequisite may be waived by a placement exam.

Graduate students must satisfactorily complete the prerequisite courses with grades of C- or higher and with a B (3.0) average, as well as any courses required of international students by the English Language Program. It is possible to make up any deficiencies after being admitted as a graduate student, but no credit will be granted towards the degree for meeting these requirements. Students may enroll in prerequisite courses and certain graduate courses concurrently, provided the prerequisites for those graduate courses have been satisfied.

### Requirements

The completed degree requires a total of 33 hours of graduate coursework; at least one professional actuarial exam also must be taken. Students who have passed the P or FM exam prior to taking MATH 480 ACTUARIAL SCIENCE SEMINAR must substitute a different elective for this course. Note that MATH 449 REGRESSION & TIME SERIES, ECON 421 MACROECONOMIC THEORY,ECON 423 MICROECONOMIC THEORY, FIN 408 FINANCE FOR DECISION MAKERS, andFIN 485 INVESTMENT THEORY satisfy the requirements of the Casualty Actuarial Society and Society of Actuaries for Validation by Educational Experience courses provided a grade of B- or higher is achieved. Students are encouraged to complete the VEE requirements; note that many students fulfill a portion of the VEE coursework as undergraduates with courses equivalent to ACSC 349 REGRESSION & TIME SERIES, ECON 101 PRINCIPLES OF ECONOMICS I, ECON 102 PRINCIPLES OF ECONOMICS II, FIN 311 PRINCIPLES OF FINANCE, and FIN 312 CORPORATE FINANCE. A list of approved courses may be found on the SOA website.

Code | Title | Credit Hours |
---|---|---|

Core | ||

MATH 448 | PROBABILITY AND STATISTICS II | 3 |

MATH 480FM | ACTUARIAL SCIENCE SEMINAR | 3 |

MATH 480P | ACTUARIAL SCI SEM: EXAM P/1 | 3 |

Electives | ||

Select four of the following: ^{2} | 12 | |

DATA MINING | ||

NUMERICAL ANALYSIS ^{1} | ||

STOCHASTIC PROCESSES ^{1} | ||

ADVANCED PROBABILITY ^{1} | ||

REGRESSION & TIME SERIES ^{1} | ||

ANOVA & EXPERIMENTAL DESIGN ^{1} | ||

ACTUARIAL MATHEMATICS I ^{1} | ||

ACTUARIAL MATHEMATICS II ^{1} | ||

DERIVATIVES MARKETS ^{1} | ||

LOSS MODELS | ||

TOPICS IN ACTUARIAL MATH ^{1} | ||

Select up to four of the following courses with the remaining in mathematics or in approved cognate fields: ^{2} | 12 | |

MACROECONOMIC THEORY ^{1} | ||

MICROECONOMIC THEORY ^{1} | ||

FINANCE FOR DECISION MAKERS ^{1} | ||

INVESTMENT THEORY ^{1} | ||

DERIVATIVES ^{1} | ||

Total Credit Hours | 33 |

^{1} | At least six courses must be listed exclusively at the graduate level. |

^{2} | Substitutions may be made with advisor approval. |

## Computer Science Concentration

As computer technology evolves, so do the mathematical applications including probability and statistics, numerical analysis, data analytics, cryptography, neural networks, genetic algorithms, bioinformatics, and other fields of scientific computing. Students interested in working with computers while pursuing their MS in mathematics have the option of combining at least 18 credit hours of mathematics course work with up to 15 credit hours in computer science for a total of 33 credit hours. Note that there are additional prerequisite courses listed below.

### Prerequisites

Graduate students must satisfactorily complete the prerequisite courses listed below with grades of C- or higher and with a B (3.0) average, as well as any courses required of international students by the English Language Program. It is possible to make up any deficiencies after being admitted as a graduate student, but no credit will be granted towards the degree for meeting these requirements. Students may enroll in prerequisite courses and certain graduate courses concurrently, provided the prerequisites for those graduate courses have been satisfied. Program prerequisites must be completed within the first year (18 credits) of coursework. Any of these prerequisites may be waived by a placement exam. The prerequisites courses are:

Code | Title | Credit Hours |
---|---|---|

Prerequisites for the Computer Science Concentration | ||

COMPUTER SCIENCE I ^{Or other programming course} | ||

DISCRETE STRUCTURES | ||

or MATH 290 | INTRODUCTION TO PROOF | |

PROBABILITY THEORY | ||

or MATH 352 | ANALYSIS |

For descriptions of these prerequisites please see the course listings in the Undergraduate Catalog.

## Requirements

The completed degree requires a total of 33 credit hours of graduate course work.

Code | Title | Credit Hours |
---|---|---|

Core ^{2} | ||

MATH 409 | DATA MINING | 3 |

MATH 430 | NUMERICAL ANALYSIS ^{1} | 3 |

MATH 450 | BOOLEAN ALG & SWITCH THEORY | 3 |

Electives | ||

Select three to six courses from among the following options: ^{2} | 9-18 | |

HISTORY OF MATHEMATICS | ||

COOPERATION AND COMPETITION | ||

OPERATIONS RESEARCH ^{1} | ||

TOPICS IIN APPLIED MATHEMATICS ^{1} | ||

STOCHASTIC PROCESSES ^{1} | ||

ADVANCED PROBABILITY ^{1} | ||

PROBABILITY AND STATISTICS II | ||

REGRESSION & TIME SERIES ^{1} | ||

ANOVA & EXPERIMENTAL DESIGN ^{1} | ||

TOPICS IN ACTUARIAL MATH ^{1} | ||

SPECIAL TOPICS | ||

Select the remaining courses (for an overall total of eleven courses) from among the following: ^{2} | 15-6 | |

BIG DATA | ||

ADVANCED ALGORITHMS | ||

FORMAL LANGUAGES AND AUTOMATA | ||

SEMINAR IN THEORY OF COMPUTATION ^{1} | ||

PARALLEL SYS & HIGH PERFORMANCE COMPUTING | ||

BIOINFORMATICS | ||

CRYPTOGRAPHY | ||

INTERNET SECURITY | ||

DISTRIBUTED DATABASES | ||

PROGRAMMING LANGUAGES | ||

PATTERN RECOGNITION | ||

SPECIAL TOPICS | ||

INTELLIGENT SYSTEMS | ||

COMPUTER GRAPHICS | ||

INFORMATION RETRIEVAL ^{1} | ||

Total Credit Hours | 33 |

^{1} | At least six courses must be listed exclusively at the graduate level. |

^{2} | Substitutions may be made with advisor approval. |

## Statistics Concentration

The concentration in statistics prepares graduates for diverse and vital areas that may include medical research, drug testing, environmental risk assessment, quality assurance, economic forecasting, and the exploration of space. Students interested in applying statistics to other fields while pursuing their MS in mathematics have the option of combining at least 24 credit hours of mathematics course work with up to 9 credit hours in a cognate field (such as biology, chemistry, computer science, economics, education, finance, psychology, or sociology) for a total of 33 credit hours. If any of the core courses were taken as an undergraduate, substitutions may be made from the math electives with the approval of the graduate advisor.

### Prerequisites

Graduate students must satisfactorily complete the prerequisite courses listed below with grades of C- or higher and with a B (3.0) average, as well as any courses required of international students by the English Language Program. It is possible to make up any deficiencies after being admitted as a graduate student, but no credit will be granted towards the degree for meeting these requirements. Students may enroll in prerequisite courses and certain graduate courses concurrently, provided the prerequisites for those graduate courses have been satisfied. Program prerequisites must be completed within the first year (18 credit hours) of coursework. Any of these prerequisites may be waived by a placement exam. The prerequisite courses are:

Code | Title | Credit Hours |
---|---|---|

Prerequisites for the Statistics Concentration | ||

ELEMENTARY STATISTICS ^{Or other statistics course} | ||

DISCRETE STRUCTURES | ||

or MATH 290 | INTRODUCTION TO PROOF | |

PROBABILITY THEORY | ||

or MATH 352 | ANALYSIS |

For descriptions of these prerequisites please see the course listings in the Undergraduate Catalog.

### Requirements

The completed degree requires a total of 33 hours of graduate course work.

Code | Title | Credit Hours |
---|---|---|

Core ^{2} | ||

MATH 430 | NUMERICAL ANALYSIS ^{1} | 3 |

MATH 446 | STOCHASTIC PROCESSES ^{1} | 3 |

MATH 447 | ADVANCED PROBABILITY ^{1} | 3 |

MATH 448 | PROBABILITY AND STATISTICS II | 3 |

MATH 449 | REGRESSION & TIME SERIES ^{1} | 3 |

MATH 457 | ANOVA & EXPERIMENTAL DESIGN ^{1} | 3 |

Electives | ||

Select two of the following: ^{2} | 6 | |

DATA MINING | ||

COOPERATION AND COMPETITION | ||

LINEAR PROGRAMMING & OPTIM | ||

OPERATIONS RESEARCH ^{1} | ||

TOPICS IIN APPLIED MATHEMATICS ^{1} | ||

BOOLEAN ALG & SWITCH THEORY | ||

DERIVATIVES MARKETS ^{1} | ||

LOSS MODELS ^{1} | ||

TOPICS IN ACTUARIAL MATH | ||

SPECIAL TOPICS | ||

Three electives from mathematics or approved cognate fields | 9 | |

Total Credit Hours | 33 |

^{1} | At least six courses must be listed exclusively at the graduate level. |

^{2} | Substitutions may be made with advisor approval. |