Master of Science Program
The Applied Mathematics Program is open to those students who have earned a B.S. degree in engineering, science, or mathematics, provided that the student has completed a program in undergraduate mathematics that parallels the program of the mathematics major at Santa Clara University. The undergraduate program at Santa Clara includes calculus and differential equations, abstract algebra, linear algebra, advanced calculus and/or real analysis; and a minimum of five upper-division courses chosen from the areas of analysis, complex variables, partial differential equations, numerical analysis, logic, probability, and statistics.
Courses for the master's degree must result in a total of 45 units. These units may include courses from other fields with permission of the Applied Mathematics Department advisor. A minimum of 12 quarter units must be in 300-level courses.
Specialization Areas
- Applied complex analysis
- Applied numerical analysis
- Cryptology
- Probability
- Statistics
- Stochastic processes
Career Opportunities
Students who earn a Master of Science degree in Applied Mathematics gain knowledge in mathematics and statistics and learn how to apply this knowledge to tackle problems in engineering and other fields. Graduates find employment as
- Industrial mathematicians, scientists, and engineers
- Actuaries
- Researchers
- Consultants
- Community college instructors
Concentration in Mathematical Finance within the Master of Science in Applied Mathematics
The Department of Applied Mathematics offers a concentration in mathematical finance within its master's degree program. For further information, please consult with the chair of the department.
Required Components for Concentration:
- ACTG 300 Financial Accounting (3 units)
- ACTG 303 Corporate Financial Reporting or 319 Financial Statement Analysis (3 units)
- AMTH 210 and 211 (or 212) Discrete and Continuous Probability (4 units)
- AMTH 220 and 221 Numerical Analysis (4 units)
- AMTH 245 and 246 (or 247) Linear Algebra (4 units)
- AMTH 313 Time Series Analysis (2 units)
- AMTH 344 Linear Regression (2 units)
- AMTH 362 Stochastic Processes I (2 units)
- AMTH 374 Partial Differential Equations I (2 units)
- ECON 401 Economics for Business Decisions (3 units)
- FNCE 451 Financial Management (3 units)
- FNCE 455 Investments (3 units)
- FNCE 474 Risk Management with Derivative Securities (3 units)
- FNCE 696 (cross-listed as AMTH 367 and MATH 125) Mathematical Finance (3 units)
- Any additional units required to meet the engineering graduate core
Recommended, but not Required, Components for Concentration:
- AMTH 358 Fourier Transforms (2 units)
- AMTH 363 Stochastic Processes II (2 units)
- AMTH 397 Master's thesis or project (3 units)
- FNCE 484 Financial Engineering (3 units)
- FNCE 712 Monte Carlo Simulation (1 unit)
- FNCE 710 Default Modeling (1 unit)
