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140.721.01
Probability Theory I

Location:
East Baltimore
Term:
1st term
Department:
Biostatistics
Credits:
3 credits
Academic Year:
2021 - 2022
Instruction Method:
Hybrid In-person and Synchronous Online
Class Times:
  • Tu Th,  3:30 - 4:50pm
Auditors Allowed:
Yes, with instructor consent
Grading Restriction:
Letter Grade or Pass/Fail
Course Instructors:
Contact:
Cristian Tomasetti
Resources:
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

For consent, contact:

ctomase2@jhmi.edu

Special Comments:

Please note: This is the onsite section of a course that is also offered virtually. 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).