Santa Clara University

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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
Master of Science in Applied Mathematics with Concentration in Mathematical Finance
Tentative Curriculum as of August 23, 2013


Course Department, Number, and Title                                
Units Prerequisites
AMTH 212 Probability I and II (or AMTH 210 & AMTH 211)
AMTH 220 Numerical Analysis I
AMTH 221 Numerical Analysis II
AMTH 247 Linear Algebra I and II (or AMTH 245 & AMTH 246)
AMTH 313 Time Series Analysis
AMTH 344 Linear Regression
AMTH 362 Stochastic Processes I
AMTH 367 Mathematical Finance
AMTH 374 Partial Differential Equations I
Course for Engineering and Society portion of graduate core
ACTG 3100 Financial Reporting and Management Control
ECON 3400 Microeconomics in a Global Economy
FNCE 3452 Financial Management
FNCE 3455 Investments

4
2
2
4
2
2
2
4
2
2
3
3
4
3




  
   
AMTH 220
     
AMTH 211 or AMTH 212
AMTH 211 or AMTH 212
AMTH 211 or AMTH 212
See graduate bulletin
  
   
   
OMIS 33501
ACTG 3100, OMIS 33501
ECON 3400, FNCE 3452


 Two of the following three2:    
FNCE 3474 Risk Management with Derivative Securities
FNCE 3484 Financial Engineering
FNCE 3488 Corporate Risk Management
3
3
3
FNCE 3455
FNCE 3455
FNCE 3455
 Optional Courses:    
AMTH 358 Fourier Transforms
AMTH 363 Stochastic Processes II
AMTH 375 Partial Differential Equations II
AMTH 397 Master's Thesis
ACTG 3303 Corporate Financial Reporting
ACTG 3319 Financial Statement Analysis
FNCE 3459 Financial Markets and Institutions
FNCE 3710 Monte Carlo Simulation
FNCE 3711 Advanced Topics in Stochastic Processes
FNCE 3712 Credit Models
2
2
2
1 to 9
3
3
3
1
1
1
See graduate bulletin
AMTH 362
AMTH 374
See graduate bulletin
ACTG 3100
FNCE 3452
FNCE 3455
FNCE 3452
FNCE 3452
FNCE 3452



Because of course prerequisites (given above and below in complementary forms) and scheduling it is possible that the program may require more than two years.




Course Courses for which the Course at Left is a Prerequisite
AMTH 210
AMTH 212
AMTH 220
AMTH 245
AMTH 344
AMTH 362
AMTH 374
ACTG 3100
ECON 3400
FNCE 3452
FNCE 3455
AMTH 211
AMTH 313, AMTH 344, AMTH 362
AMTH 221
AMTH 246
ECON 3400, FNCE 3452
AMTH 363
AMTH 375
FNCE 3452, ACTG 3303
FNCE 3455
FNCE 3455, FNCE 3710, FNCE 3711, FNCE 3712, ACTG 3319
FNCE 3474, FNCE 3484, FNCE 3488, FNCE 3459


1
An alternative to OMIS 3350 is the combination of AMTH 212 (or AMTH 210 and AMTH 211) and AMTH 344
2 Most sudents complete FNCE 3474 and either (i) FNCE 3484 or (ii) FNCE 3488