College of Science and Health > Academics > Mathematical Sciences > Graduate Programs > Applied Mathematics (MS) > Degree Requirements

Degree Requirements

Degree Requirements

Required Core Courses - 7 courses / 28 credit hours

Course Title Quarter Hours
MAT 451PROBABILITY AND STATISTICS I4
MAT 452PROBABILITY AND STATISTICS II4
MAT 470ADVANCED LINEAR ALGEBRA4
MAT 484MATHEMATICAL MODELING4
MAT 485NUMERICAL ANALYSIS I4
MAT 486NUMERICAL ANALYSIS II4
MAT 487OPERATIONS RESEARCH: LINEAR PROGRAMMING4
Total Hours28

Electives - 5 courses / 20 credit hours

It is recommended that students concentrate on one or two focus areas to achieve depth, but they are not required to do so. Students are encouraged to discuss course selection with the program director or a faculty advisor.

FOCUS AREAS

1) Computational Mathematics

Course Title Quarter Hours
MAT 437
COMPLEX ANALYSIS
MAT 450
ADVANCED STATISTICAL COMPUTING
MAT 459
SIMULATION MODELS AND MONTE CARLO METHOD
MAT 481
FOURIER ANALYSIS AND SPECIAL FUNCTIONS
MAT 482
PARTIAL DIFFERENTIAL EQUATIONS
MAT 494
GRAPH THEORY

2) Optimization and Operations Research

Course Title Quarter Hours
MAT 450
ADVANCED STATISTICAL COMPUTING
MAT 453
PROBABILITY AND STATISTICS III
MAT 455
STOCHASTIC PROCESSES
MAT 459
SIMULATION MODELS AND MONTE CARLO METHOD
MAT 468
MATHEMATICS FOR FINANCE
MAT 488
OPERATIONS RESEARCH: OPTIMIZATION THEORY
MAT 494
GRAPH THEORY

3) Financial Mathematics

Course Title Quarter Hours
MAT 453
PROBABILITY AND STATISTICS III
MAT 455
STOCHASTIC PROCESSES
MAT 456
APPLIED REGRESSION ANALYSIS
MAT 459
SIMULATION MODELS AND MONTE CARLO METHOD
MAT 468
MATHEMATICS FOR FINANCE
MAT 469
STOCHASTIC CALCULUS
MAT 488
OPERATIONS RESEARCH: OPTIMIZATION THEORY
MAT 512
APPLIED TIME SERIES AND FORECASTING
MAT 515
FINANCIAL MODELING

4) Applied Mathematical Analysis

Course Title Quarter Hours
MAT 435
MEASURE THEORY
MAT 436
FUNCTIONAL ANALYSIS
MAT 437
COMPLEX ANALYSIS
MAT 455
STOCHASTIC PROCESSES
MAT 469
STOCHASTIC CALCULUS
MAT 481
FOURIER ANALYSIS AND SPECIAL FUNCTIONS
MAT 482
PARTIAL DIFFERENTIAL EQUATIONS
MAT 488
OPERATIONS RESEARCH: OPTIMIZATION THEORY

5) Actuarial Science

Course Title Quarter Hours
MAT 453
PROBABILITY AND STATISTICS III
MAT 461
ACTUARIAL SCIENCE I: THEORY OF INTEREST
MAT 462
ACTUARIAL SCIENCE II: BASIC CONTINGENCIES
MAT 463
ACTUARIAL SCIENCE III: ADVANCED CONTINGENCIES
MAT 464
LOSS MODELS I
MAT 465
LOSS MODELS II
MAT 468
MATHEMATICS FOR FINANCE

Computer Usage​

The department places strong emphasis on computation and is well supported with equipment and software necessary for research. Computers are used for data analysis and to find solutions to problems that arise in numerical analysis, simulations, and mathematical modeling. The computer packages used in these courses are likely to play an important role in the solution of the problems students will encounter in their places of employment.

Content displayed from this DePaul University catalog page.