**OPTION I: MATHEMATICS**:

The core of this program consists of an in depth study of the mainstream of modern mathematics: algebra, analysis and topology.

| 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 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.

| Units |
---|---|

Basic course work: MATH 501 Topology | 3 |

MATH 552 Real Analysis | 3 |

| |

MATH 589 Seminar in Mathematics | 1 |

| |

MATH 542A-D Topics in Probability/Statistics | 3 |

| |

MATH 581 Numerical Analysis | 3 |

| |

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.