This track focuses on the fundamental mathematical theory underlying statistical inference and prediction. It is ideal for students who are interested in pursuing a Ph.D. in Statistics, an advanced degree in a related field requiring strong mathematical preparation, or a career in which a strong background in statistical theory is valuable.

Theory Requirements | |||

Course Topic/Title | Course Number | Units | Prerequisites |
---|---|---|---|

Calculus | 21-111 and 112, or 21-120 | 20 or 10 | |

Integration and Approximation | 21-122 | 10 | 21-112 or 21-120 |

Multivariate Calc/Analysis | 21-256, 21-259, or 21-268 | 9–10 | 21-112 or 21-120 |

Concepts of Mathematics | 21-127 | 10 | |

Linear/Matrix Algebra | 21-240, 21-241, or 21-242 | 10 | |

Probability | 36-217, 21-325, 15-359, or 36-225 | 9 | 21-112, 21-122, 21-123, 21-256, or 21-259 |

Statistical Inference | 36-226 or 36-326 | 9 | C or higher in 36-217, 36-225, 21-325, or 15-359 |

Principles of Real Analysis | 21-355 | 9 | 21-127 and 21-122 |

Intro to Probability Modeling | 36-410 | 9 | 36-225, 36-217, 36-325, or 36-625 |

Two of the following: Probability and Math Stat I Intermediate Statistics Discrete Math Optimization Combinatorics Real Analysis II | 36-700 36-705 21-228 21-257 or 21-292 21-301 21-356 | 12 12 9 9 9 9 | 21-127 or 15-151 21-240/1/2, 21-256, 06-262, or 18-202 21-127 or 15-151 21-240, 21-241, 21-242, 21-256, 06-262, or 18-202 21-122 and (15-251 or 21-228) (21-259,21-268,or 21-269) and 21-241/2 and 21-355 |

Data-Analysis Requirements | |||

Course Topic/Title | Course Number | Units | Prerequisites |

Beginning Data Analysis | 36-201 | 9 | |

Intermediate Data Analysis | 36-202, 36-208, or 36-309 | 9 | various |

Advanced Elective | 36-315, 36-303, or 36-46x | 9 | 36-202, 36-208, or 36-309 |

Special Topics | 36-46x | 9 | various |

General Elective | various | 9 | various |

Modern Regression | 36-401 | 9 | C or higher in 36-226, 36-326, or 36-625 and pass 21-240 or 21-241 |

Advanced Methods for Data Analysis | 36-402 | 9 | C or higher in 36-401 |

Computing Requirements | |||

Course Topic/Title | Course Number | Units | Prerequisites |

Statistical Computing | 36-350 or 36-650/750 | 9 | 36-202, 36-208, 36-309, 70-208, or equivalent |