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COURSES OF STUDY:
OPTION I: MATHEMATICS:
The core of this program consists of an in depth study of the mainstream of modern mathematics: algebra, analysis and topology.
REQUIRED COURSES (16 UNITS) 
Units 
Basic course work: MATH 501 Topology 
3 
MATH 550 Calculus on Manifolds 
3 
MATH 552 Real Analysis 
3 
MATH 655 Complex Analysis 
3 
MATH 560 Algebra 
3 
Participating Seminar: 
1 
ELECTIVES (15 UNITS)
Select approved courses. At least 6 of these 15 units must be at 500 or 600level. Up to 6 units may be taken in fields outside mathematics with prior approval of the Graduate committee.
TOTAL UNITS REQUIRED FOR THE MS DEGREE, OPTION I: 31
OPTION II: APPLIED MATHEMATICS
The core of this program consists of the basic preparation in Analysis and courses in Differential Equations, Modeling, Numerical Analysis, or Probability/Statistics. This option allows students in collaboration with an adviser to design an individual course of study that best satisfies their needs.
REQUIRED COURSES (16 UNITS) 
Units 
Basic course work: MATH 501 Topology 
3 
MATH 552 Real Analysis 
3 
Participating Seminar: 

MATH 589 Seminar in Mathematics 
1 
and either 

MATH 542AD Topics in Probability/Statistics 
3 
OR 

MATH 581 Numerical Analysis 
3 
and two courses from the following list: 

MATH 540 Regression Analysis 
3 
MATH 542 AD Topics in Probability/Statistics 
3 
MATH 581 Advanced Numerical Analysis 
3 
MATH 582 AD Topics in Numerical Analysis 
3 
MATH 592 AD Topics in Applied Mathematics 
3 
MATH 625 Advanced Mathematical Modeling 
3 
MATH 655 Complex Analysis 
3 
MATH 680 A/B Applied Functional Analysis I/II 
3 
ELECTIVES (15 UNITS)
Select approved courses. At least 6 of these 15 units must be at 500 or 600level.
Up to 9 units may be taken in fields outside mathematics with prior approval of the Graduate committee.
TOTAL UNITS REQUIRED FOR THE MS DEGREE, OPTION II: 31
SWITCHING BETWEEN OPTIONS I & II:
Students may request in writing to switch between Option I and II. Such requests will be considered by the Graduate Committee.