PhD with Computational Finance Track

Students following a Computational Finance track must fulfill the Graduate College requirements specified in the Graduate College catalog as well as departmental requirements detailed in the MSCS Graduate Handbook .

Students can earn a PhD in Mathematics with a Computational Finance Track as follows:

1. Complete the MS degree by earning:

   • a high pass on the department's written Master's Examination OR
   • a pass on a master's thesis oral defense OR
   • the equivalent, if from another program

2. Fulfill the doctoral written examinations and minor requirement

3. Pass the doctoral oral examination (Probability and Statistics students only)

4. Fulfill the language requirement (Pure Mathematics students only) in French, German, or Russian.

5. Produce and defend a thesis that makes a contribution to original research.

6. Earn 96 semester hours of graduate credit including:

   • 32 credit hours for a previously earned master's degree (requires DGS approval)

   • 40 credit hours of departmental 500-level courses which may include 500 level courses taken from the MS degree earned in residence but may NOT include thesis research (Math 599), and should include courses selected from the Computational Finance Track:

     Math 574 (Applied Optimal Control)

     Math 576 (Classical Methods for Partial Differential Equations)

     Math 577 (Advanced Partial Differential Equations)

     Math 578 (Asymptotic Methods)

     Math 579 (Singular Perturbations)

     Math 584 (Applied Stochastic Models)

     Math 586 (Computational Finance)

     MCS 571 (Numerical Methods for Partial Differential Equations)

     MCS 573 (Topics in Numerical Analysis of Partial Differential Equations)

     Fin 516 (Theory and Structure of Options and Futures Markets)

     Fin 571 (Empirical Issues in Finance)

   • 32 hours of thesis research (Math 599)