Choose three courses from the following list (at least two courses must be in Mathematics):

• COMP 554 - Algorithims (Cross-listed as MATH 554) Units: 3
• COMP 569 - Artificial Intelligence Units: 3
• MATH 511 - Functional Analysis Units: 3
• MATH 512 - Probabilistic Methods and Measure Theory Units: 3
• MATH 513 - Advanced Algebra Units: 3
• PHYS 510 - Advanced Image Analysis Techniques (Cross-listed as COMP 510, MATH 510) Units: 3

And required two units of:

• MATH 599 - Graduate Seminar Units: 1

Choose five electives from the following list (at least three courses in Mathematics):

*other graduate or junior/senior courses from related disciplines may be included with advisors approval.

• MATH 511 - Functional Analysis Units: 3
• MATH 512 - Probabilistic Methods and Measure Theory Units: 3
• MATH 513 - Advanced Algebra Units: 3
• MATH 555 - Actuarial Sciences Units: 3
• MATH 565 - Research in Mathematics Education Units: 3
• MATH 570 - Combinatorics Units: 3
• MATH 581 - Mathematical Methods in Artificial Intelligence (Cross-listed as COMP 581) Units: 3
• MATH 582 - Number Theory and Cryptography Units: 3
• MATH 584 - Algebraic Geometry and Coding Theory Units: 3
• MATH 587 - Markov Chains and Markov Processes Units: 3
• MATH 588 - Stochastic Analysis Units: 3
• MATH 594 - Independent Study Units: 1-3
• PHYS 546 - Pattern Recognition (Cross-listed as MATH 546, COMP 546) Units: 3
• COMP 520 - Advanced Database Systems Units: 3
• COMP 524 - Security Units: 3
• COMP 529 - Network Computing Units: 3
• COMP 549 - Human-Computer Interaction Units: 3
• COMP 550 - Advanced Software Engineering Units: 3
• COMP 569 - Artificial Intelligence Units: 3
• COMP 571 - Biologically Inspired Computing Units: 3
• COMP 572 - Neural Networks Units: 3
• COMP 575 - Multi-Agent Systems Units: 3
• COMP 578 - Data Mining Units: 3