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Focal Areas

Focal Areas for Applied Mathematics

The seven major Focal Areas for the field of applied mathematics are listed below, along with examples of recommended courses for completing the requirements in each focal area. In addition to the listed example courses, appropriate courses containing substantial mathematical content, offered by any department, may be taken to satisfy field requirements in mathematics and its applications, subject to approval by the student's Special Committee.

A. Computational Methods

  • CEE 6300, 6720
  • CS 6210, 6220
  • MAE 6230
  • MATH 4250 / CS 4210,  MATH 4260 / CS 4220

B. Mathematical Analysis

  • MATH 6110, 6120, 6210, 6220, 7130 (not both 6110 and 6210; not both 6220 and 7130)

C. Differential Equations and Dynamical Systems

  • CHEME 7530
  • MAE  6010, 6110, 6330, 6840, MAE 5790 / MATH 4210
  • MATH 6170, 6180, 6190, 6200, 6230, 6280, 6520, MATH 7170 / MAE 7760

D. Stochastic Methods

(Probability, Stochastic Processes, Statistics, Machine Learning, Signal and Image Processing, etc.)

  • BTRY 7180 (note: most 6000-level courses not suitable)
  • CS 6780, 6783, 6784, 6788
  • ECE 5555, 5620, 5630
  • MATH 6710, 6720, 6730, 6740, 7740
  • ORIE 6500, 6510, 6540, 6570, 6580, 6700, 6710, 6720, 6750, 6780
  • STSCI 6520, 7170

E. Optimization and Discrete Mathematics

  • MATH 4410, 4420, 6230
  • ORIE 6300, 6310, 6320, 6325, 6327, 6328, 6330, 6334, 6335

F. Algorithms and Complexity

  • CS 4814, 6810, 6820, 6840
  • ORIE 6350

G. Algebra and Logic

  • CS 6117, 6764, 6766, 6860
  • MATH 6310, 6320, 6340, 6490, 6810, 7880