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Mathematics, MS

Offered in: CHICAGO

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 and at least three semesters of calculus (equivalent to Math 231, Math 232 and Math 233 at Roosevelt) with grades of C- or higher and with a B (3.0) average.

Advising
Following acceptance to the program, students meet with the graduate advisor to plan a 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 nine semester hours of transfer credit may be considered for the program.

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.

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.

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.

Program prerequisites must be completed with the first year (18 credits) of coursework. Any of these prerequisites may be waived by a placement exam. The prerequisite courses are: an Accounting course, Math 347 (Probability and Statistics), and Math 367 (Financial Mathematics). 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 coursework and taking at least one professional actuarial exam. At least six courses must be listed exclusively at the graduate level. Such courses in mathematics are designated below with an asterisk. Students who have passed the P or FM exam prior to taking MATH 480 must substitute a different elective for this course. Note that MATH 449, ECON 421, ECON 423, FIN 408, and FIN 485 satisfy the requirements of the CAS and SOA for VEE 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, ECON 101, ECON 102, FIN 311, and FIN 312. A list of approved courses may be found on the SOA website.

  MATH 448 Probability and Statistics II .....3
  MATH 480 Actuarial Science Seminar .....3
  MATH 480 Actuarial Science Seminar (P) .....3

Electives

At least four math courses chosen from the list below
  MATH 430 * Numerical Analysis .....3
  MATH 446 * Stochastic Processes .....3
  MATH 447 * Advanced Probability .....3
  MATH 449 Regression and Time Series .....3
  MATH 457 ANOVA and Experimental Design .....3
  MATH 469 Actuarial Mathematics I .....3
  MATH 470 * Actuarial Mathematics II .....3
  MATH 475 * Derivatives Markets .....3
  MATH 476 Loss Markets .....3
  MATH 478 * Topics in Actuarial Mathematics .....3
Up to four courses from mathematics or approved cognate fields
  ECON 421 * Macroeconomic Theory .....3
  ECON 423 * Microeconomic Theory .....3
  FIN 408 * Finance for Decision Makers .....3
  FIN 485 * Investment Theory .....3
  FIN 487 * Advanced Financial Instruments .....3

Computer Science Concentration

As computer technology evolves, so do the mathematical applications including probability and statistics, numerical analysis, chaos theory, 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 hours of mathematics course work with up to 15 hours in computer science for a total of 33 semester hours.

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: an introductory programming course; Math 245 (Discrete Structures) OR Math 290 (Mathematical Reasoning); and Math 347 (Probability and Statistics I) 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. At least six courses must be listed exclusively at the graduate level. Such courses in mathematics are designated below with an asterisk.

  MATH 430 * Numerical Analysis .....3
  MATH 450 Boolean Algebra and Switching Theory .....3
  MATH 489 * Special Topics: Data Mining or Machine Learning .....3
Three to six courses chosen from the list below
  MATH 416 History of Mathematics .....3
  MATH 417 Geometry .....3
  MATH 418 Number Theory .....3
  MATH 420 Introduction to Abstract Algebra .....3
  MATH 428 Linear Programming and Optimization .....3
  MATH 432 Operations Research .....3
  MATH 435 * Topics in Applied Mathematics .....3
  MATH 445 Combinatorics .....3
  MATH 446 * Stochastic Processes .....3
  MATH 447 * Advanced Probability .....3
  MATH 448 Mathematical Statistics .....3
  MATH 449 Regression and Time Series .....3
  MATH 457 ANOVA and Experimental Design .....3
  MATH 478 * Topics in Actuarial Mathematics .....3
  MATH 489 * Special Topics .....3
Two to five courses chosen from the list below (for a total of eleven courses)
  CST 408 Advanced Algorithms .....3
  CST 410 Formal Languages and Automata .....3
  CST 412 * Seminar in the Theory of Computation .....3
  CST 415 Parallel Systems and High Performance Computing .....3
  CST 451 Bioinformatics .....3
  CST 466 Network Security .....3
  CST 468 Internet Security .....3
  CST 471 Distributed Databases .....3
  CST 472 Programming Languages .....3
  CST 478 Pattern Recognition .....3
  CST 480 * Special Topics .....3
  CST 481 Intelligent Systems .....3
  CST 482 Computer Graphics .....3
  CST 486 * Information Retrieval .....3

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 hours of mathematics course work with up to 9 hours in a cognate field (such as biology, chemistry, computer science, economics, education, finance, psychology, or sociology) for a total of 33 semester 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 credits) of coursework. Any of these prerequisites may be waived by a placement exam. The prerequisite courses are: Math 217 (Introduction to Probability and Statistics); Math 245 (Discrete Structures) OR Math 290 (Mathematical Reasoning); and Math 347 (Probability and Statistics I) 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. At least six courses must be listed exclusively at the graduate level. Such courses in mathematics are designated below with an asterisk.

  MATH 430 * Numerical Analysis .....3
  MATH 446 * Stochastic Processes .....3
  MATH 447 * Advanced Probability .....3
  MATH 448 Mathematical Statistics .....3
  MATH 449 Regression and Time Series .....3
  MATH 457 ANOVA and Experimental Design .....3

Electives (five courses)

  Three electives from mathematics or approved cognate fields .....9
Two courses chosen from the following
  MATH 416 History of Mathematics .....3
  MATH 417 Geometry .....3
  MATH 418 Number Theory .....3
  MATH 420 Introduction to Abstract Algebra .....3
  MATH 428 Linear Programming and Optimization .....3
  MATH 432 Operations Research .....3
  MATH 435 * Topics in Applied Mathematics .....3
  MATH 445 Combinatorics .....3
  MATH 450 Boolean Algebra and Switching Theory .....3
  MATH 475 * Derivatives Markets .....3
  MATH 476 * Loss Models .....3
  MATH 478 * Topics in Actuarial Mathematics .....3
  MATH 489 * Special Topics .....3