140.721.41
Probability Theory I

Location
Internet
Term
1st Term
Department
Biostatistics
Credit(s)
3
Academic Year
2024 - 2025
Instruction Method
Synchronous Online
Class Time(s)
M, W, 1:30 - 2:50pm
Auditors Allowed
No
Available to Undergraduate
No
Grading Restriction
Letter Grade or Pass/Fail
Course Instructor(s)
Michael Rosenblum
Contact Name
Michael Rosenblum
Frequency Schedule
Every Year
Prerequisite

Calculus, real analysis

Description
Presents key concepts needed to understand measure-theoretic probability, including the following: set theory, limits of sequences, metric spaces, continuity of functions between metric spaces, convergence of sequences of functions, sigma algebras, probability measure. Emphasizes rigorous proof technique.
Learning Objectives
Upon successfully completing this course, students will be able to:
  1. Write rigorous proofs.
  2. Rigorously define the probability measure corresponding to a given experiment
Methods of Assessment
This course is evaluated as follows:
  • 100% Homework
Instructor Consent
Consent required for some students
Consent Note
Consent required for any students who are not in the Biostatistics PhD program
Consent Contact
mrosen@jhu.edu
Special Comments

Please note: This is the virtual/online section of a course that is also offered onsite. Students will need to commit to the modality for which they register. Students who are able to be present in Baltimore for 1st term should register for this section. The course will include 30 minutes per week of lab (time TBA).