MATHC218A
Overview
Subject: Math
Course Number: C218A
Department: Mathematics
Course Level: Graduate
Course Title
Probability Theory
Course Description
The course is designed as a sequence with Statistics C205B/Mathematics C218B with the following combined syllabus. Measure theory concepts needed for probability. Expection, distributions. Laws of large numbers and central limit theorems for independent random variables. Characteristic function methods. Conditional expectations, martingales and martingale convergence theorems. Markov chains. Stationary processes. Brownian motion.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATHC218B
Overview
Subject: Math
Course Number: C218B
Department: Mathematics
Course Level: Graduate
Course Title
Probability Theory
Course Description
The course is designed as a sequence with with Statistics C205A/Mathematics C218A with the following combined syllabus. Measure theory concepts needed for probability. Expection, distributions. Laws of large numbers and central limit theorems for independent random variables. Characteristic function methods. Conditional expectations, martingales and martingale convergence theorems. Markov chains. Stationary processes. Brownian motion.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATHC223A
Overview
Subject: Math
Course Number: C223A
Department: Mathematics
Course Level: Graduate
Course Title
Advanced Topics in Probability and Stochastic Process
Course Description
The topics of this course change each semester, and multiple sections may be offered. Advanced topics in probabilty offered according to students demand and faculty availability.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATHC223B
Overview
Subject: Math
Course Number: C223B
Department: Mathematics
Course Level: Graduate
Course Title
Advanced Topics in Probablity and Stochastic Processes
Course Description
The topics of this course change each semester, and multiple sections may be offered. Advanced topics in probablity offered according to students demand and faculty availability.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATHC239
Overview
Subject: Math
Course Number: C239
Department: Mathematics
Course Level: Graduate
Course Title
Discrete Mathematics for the Life Sciences
Course Description
Introduction to algebraic statistics and probability, optimization, phylogenetic combinatorics, graphs and networks, polyhedral and metric geometry.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATHC243
Overview
Subject: Math
Course Number: C243
Department: Mathematics
Course Level: Graduate
Course Title
Seq: Methods and Applications
Course Description
A graduate seminar class in which a group of students will closely examine recent computational methods in high-throughput sequencing followed by directly examining interesting biological applications thereof.
Units
Minimum Units: 4
Maximum Units: 4