| Program Requirements | Quarter Hours |
|---|---|
| Core | 28 |
| Electives | 20 |
| Degree Requirements | 48 hours |
Learning Outcomes
Students will be able to:
- Demonstrate knowledge of the mathematical basis and foundations of probability and statistics necessary to develop and implement appropriate mathematical models.
- Solve a computational problem by using appropriate numerical and statistical procedures with a focus on accuracy, error control, and efficiency.
- Implement a variety of mathematical and statistical structures to model and analyze complex problems.
- Identify, formulate, abstract, and solve mathematical problems using tools from a variety of mathematical areas including calculus, linear algebra, algebra, analysis, probability, and statistics.
- Use computational and statistical software platforms to develop and execute various mathematical procedures and numerical algorithms.
- Communicate mathematical ideas professionally, in verbal and visual form, by using appropriate terminology and notation.
Degree Requirements
Required Core Courses - 7 courses / 28 credit hours
| Course | Title | Quarter Hours |
|---|---|---|
| MAT 451 | PROBABILITY AND STATISTICS I | 4 |
| MAT 452 | PROBABILITY AND STATISTICS II | 4 |
| MAT 470 | ADVANCED LINEAR ALGEBRA | 4 |
| MAT 484 | MATHEMATICAL MODELING | 4 |
| MAT 485 | NUMERICAL ANALYSIS I | 4 |
| MAT 486 | NUMERICAL ANALYSIS II | 4 |
| MAT 487 | OPERATIONS RESEARCH: LINEAR PROGRAMMING | 4 |
| Total Hours | 28 | |
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 | 4 |
| MAT 450 | ADVANCED STATISTICAL COMPUTING | 4 |
| MAT 459 | SIMULATION MODELS AND MONTE CARLO METHOD | 4 |
| MAT 481 | FOURIER ANALYSIS AND SPECIAL FUNCTIONS | 4 |
| MAT 482 | PARTIAL DIFFERENTIAL EQUATIONS | 4 |
| MAT 494 | GRAPH THEORY | 4 |
2) Optimization and Operations Research
| Course | Title | Quarter Hours |
|---|---|---|
| MAT 450 | ADVANCED STATISTICAL COMPUTING | 4 |
| MAT 453 | PROBABILITY AND STATISTICS III | 4 |
| MAT 455 | STOCHASTIC PROCESSES | 4 |
| MAT 459 | SIMULATION MODELS AND MONTE CARLO METHOD | 4 |
| MAT 468 | MATHEMATICS FOR FINANCE | 4 |
| MAT 488 | OPERATIONS RESEARCH: OPTIMIZATION THEORY | 4 |
| MAT 494 | GRAPH THEORY | 4 |
3) Financial Mathematics
| Course | Title | Quarter Hours |
|---|---|---|
| MAT 453 | PROBABILITY AND STATISTICS III | 4 |
| MAT 455 | STOCHASTIC PROCESSES | 4 |
| MAT 456 | APPLIED REGRESSION ANALYSIS | 4 |
| MAT 459 | SIMULATION MODELS AND MONTE CARLO METHOD | 4 |
| MAT 468 | MATHEMATICS FOR FINANCE | 4 |
| MAT 469 | STOCHASTIC CALCULUS | 4 |
| MAT 488 | OPERATIONS RESEARCH: OPTIMIZATION THEORY | 4 |
| MAT 512 | APPLIED TIME SERIES AND FORECASTING | 4 |
| MAT 515 | FINANCIAL MODELING | 4 |
4) Applied Mathematical Analysis
| Course | Title | Quarter Hours |
|---|---|---|
| MAT 435 | MEASURE THEORY | |
| MAT 436 | FUNCTIONAL ANALYSIS | 4 |
| MAT 437 | COMPLEX ANALYSIS | 4 |
| MAT 455 | STOCHASTIC PROCESSES | 4 |
| MAT 469 | STOCHASTIC CALCULUS | 4 |
| MAT 481 | FOURIER ANALYSIS AND SPECIAL FUNCTIONS | 4 |
| MAT 482 | PARTIAL DIFFERENTIAL EQUATIONS | 4 |
| MAT 488 | OPERATIONS RESEARCH: OPTIMIZATION THEORY | 4 |
5) Actuarial Science
| Course | Title | Quarter Hours |
|---|---|---|
| MAT 453 | PROBABILITY AND STATISTICS III | 4 |
| MAT 461 | ACTUARIAL SCIENCE I: THEORY OF INTEREST | 4 |
| MAT 462 | ACTUARIAL SCIENCE II: BASIC CONTINGENCIES | 4 |
| MAT 463 | ACTUARIAL SCIENCE III: ADVANCED CONTINGENCIES | 4 |
| MAT 464 | LOSS MODELS I | 4 |
| MAT 465 | LOSS MODELS II | 4 |
| MAT 468 | MATHEMATICS FOR FINANCE | 4 |
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.
Student Handbook
Academic Probation
A student will be placed on academic probation at the time when his/her cumulative GPA falls below 2.70.
Academic Dismissal
A graduate student may be academically dismissed under one or more of the following violations of satisfactory progress: his/her cumulative GPA remains below 2.70 after one year of coursework while being on academic probation, or lack of progress toward degree completion.
Conditional Admission
Students whose undergraduate degrees were in majors other than mathematics or related fields may be conditionally admitted provided they complete the following minimum prerequisites as conditions: two years of calculus [the equivalent of MAT 150-MAT 152], multivariable calculus and linear algebra [the equivalent of MAT 260-MAT 262], and a course in statistics. Additionally, a course in computer programming is required.
Readmission
The same readmission standards outlined in the Graduate Student Handbook and approval of the program director are observed for students in these programs.
Transfer Credit
No more than two graduate courses (8 quarter credit hours or its semester equivalent) may be transferred from another DePaul program or institution provided that they are equivalent to courses offered in DePaul’s graduate program, and they did not count toward another degree either at DePaul or another institution. Written approval must come from graduate program director and associate dean for graduate studies.
Undergraduate Courses
No undergraduate courses shall count toward the graduate degree.
Graduation Requirements
Requirements include, but are not limited to, twelve graduate courses (48 credit hours) at a minimum cumulative GPA of 2.70.
Graduation with Distinction
A minimum cumulative GPA of 3.83 for coursework applied toward the applied mathematics degree is required for graduation with distinction.
Time Limitation
The degree is expected to be completed in a maximum of six years.