Mathematical Statistics Track

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.

Major Requirements

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