Elective Courses
Each candidate must take at least six approved elective courses from the list below, with two from each of the three core areas:
 Stochastic Processes and Statistics
 Differential Equations, Modeling, Simulation and Computing
 Finance
Other elective courses may be authorized by the Program Director if they provide skills relevant to financial mathematics and do not overlap with courses in the candidate's program.
Descriptions for the prerequisite and elective courses can be found in the Stanford Bulletin.
Mathematics (MATH):
136 Stochastic Processes  same as STATS 219 (A)
180 Introduction to Financial Mathematics
205A/B Real
Analysis (A/W)
220 PDE of
Applied Mathematics (A)
222A Computational Methods for Fronts, Interfaces, and Waves
227
Partial Differential Equations and Diffusion Processes
236
Introduction to Stochastic Differential Equations (W)
237 Default and Systemic Risk
238
(same as STATS 250) Mathematical Finance (W)
239 Computation and Simulation in Finance
240 Topics in Financial Mathematics: Fixed Income Models
256A/B
Partial Differential Equations (Spr/W)
261A/B Functional Analysis
266 Time Frequency Analysis and Wavelets
Statistics (STATS):
202 Data
Mining and Analysis (A/Smr)
206 Applied Multivariate
Analysis (A)
207 Introduction to Time Series Analysis (Spr)
212 Applied Statistics with SAS
219 Stochastic Processes 
same as MATH 136 (A)
220 Continuous Time Stochastic Control
227 Statistical Computing
235 Decision Making in Financial Services
237 Theory of Investment Portfolios and Derivative Securities
238 Policy & Strategy Issues in Financial Engineering
240
Statistical Methods in Finance (A)
241 Financial Modeling Methodology and Applications
242 Algorithmic Trading
and Quantitative Strategies (Smr)
243 Statistical Methods
and Models for Risk Management and Surveillance (W)
252 Data Mining and Electronic Business
254 Correspondence Analysis and Related Methods one time offering Aut 0809
305 Introduction to
Statistical Modeling (A)
306A Methods for Applied
Statistics (W)
310A/B/C Theory of
Probability (A/W/Spr)
315A/B Modern Applied
Statistics (W/Spr)
317 Stochastic Processes
318 Modern Markov Chains
322 Function Estimation in White Noise
324 Multivariate and Random Matrix Theory
343 Time Series Analysis
362 Monte Carlo (Spr)
376A Information Theory
Computer Science (CS):
106A Introduction to Computers (A/W/Spr/Smr)
106B Programming Abstractions (A/W/Spr/Smr)
106XProgramming
Abstractions (Accelerated) (A/W)
193D C++
224M MultiAgent Systems (Spr)
229 Machine Learning (A)
249A ObjectOriented
Programming : A Modeling and Simulation Perspective (A)
261 Optimization and
Algorithmic Paradigms (W)
295 Software Engineering
339 Topics in Numerical Analysis
365 Randomized Algorithms
Economics (ECON):
190 Introduction to Financial Accounting (A/W)
202N203N Core Economics: Modules 1 and 2, 5 and 6 
For NonEconomics Ph.D. Students (A/W)
210 Core Economics:
Modules 3 and 7 (A)
211 Core Economics: Modules 11 and 12 (W)
269 International Financial Markets and Monetary Institutions
275 Time Series Econometrics
281 Economics of Uncertainty
284 Topics in Dynamic Economics
Management Science & Engineering (MS&E):
242H Investment Science Honors
247G (same as GSB F323)* International Financial Management
247S International Investments
272
Entrepreneurial Finance (Spr)
310 Linear Programming (A)
311 Optimization
312 Advanced Methods in
Numerical Optimization (A)
313 Vector Space Optimization
322 Stochastic Calculus and Control
323 Stochastic Simulation
339 Approximate Dynamic Programming
341
Advanced Economic Analysis (W)
342
Advanced Investment Science (W)
345 Advanced Topics in Financial Engineering
347
Credit Risk: Modeling and Management (W)
348 Optimization of Uncertainty and Applications in Finance
349 Capital Deployment
351 Dynamic Programming
and Stochastic Control (A)
444* Investment Practice (Spr)
445
Projects in Wealth Management (Spr)
Computational & Mathematical Engineering (CME):
340 Computational Methods in Data Mining
Graduate School of Business (GSB):
FINANCE:
221* Finance for NonMBAs (A)
320* Debt Markets (W)
326* Derivative Securities
328* Portfolio Management
620* Financial Markets I (A)
621*
Financial Markets II (W)
622* Dynamic
Asset Pricing Theory (A)
629* Tax and Finance seminar
Economic
Analysis and Policy:
MGTECON600* Microeconomic Analysis I
MGTECON604* Econometric Methods II
MGTECON609* Applied Econometric and Economics Research
MGTECON640* Quantitative Methods for Empirical Research
Operations, Information, and Technology:
OIT 667* Revenue Management
*  indicate courses of limited enrollment and/or the instructor's preapproval is needed for registration
