courses title

 

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:
MATH 589 Seminar in Mathematics

1

ELECTIVES (15 UNITS)

Select approved courses. At least 6 of these 15 units must be at 500 or 600-level. 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 542A-D 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 A-D Topics in Probability/Statistics

3

MATH 581 Advanced Numerical Analysis

3

MATH 582 A-D Topics in Numerical Analysis

3

MATH 592 A-D 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 600-level.

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.