Difference between revisions of "Math 543: Advanced Probability 1"

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(Prerequisites)
(Desired Learning Outcomes)
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== Desired Learning Outcomes ==
 
== Desired Learning Outcomes ==
 +
This should be an ''advanced'' course in probability and,therefore, clearly distinguishable from an introductory course like [[Math 431]].  Furthermore, it is supposed to be a course in the ''modern'' theory of probability, which suggests that it should be based on Kolmogorov's measure-theoretic approach, or something equivalent.
  
 
=== Prerequisites ===
 
=== Prerequisites ===
The official prerequisite is multivariable calculus.
+
The official prerequisite is multivariable calculus.  Other prior courses that will contribute to student success include:
 +
* an introductory course in probability;
 +
* a course in rigorous mathematical reasoning;
 +
* an introductory course in analysis.
  
 
=== Minimal learning outcomes ===
 
=== Minimal learning outcomes ===

Revision as of 13:33, 17 July 2010

Catalog Information

Title

Advanced Probability 1.

Credit Hours

3

Prerequisite

Math 314 or equivalent.

Recommended

Math 341, Stat 441(?); or equivalents.

Description

Foundations of the modern theory of probability with applications. Probability spaces, random variables, independence, conditioning, expectation, generating functions, and Markov chains.

Desired Learning Outcomes

This should be an advanced course in probability and,therefore, clearly distinguishable from an introductory course like Math 431. Furthermore, it is supposed to be a course in the modern theory of probability, which suggests that it should be based on Kolmogorov's measure-theoretic approach, or something equivalent.

Prerequisites

The official prerequisite is multivariable calculus. Other prior courses that will contribute to student success include:

  • an introductory course in probability;
  • a course in rigorous mathematical reasoning;
  • an introductory course in analysis.

Minimal learning outcomes

Additional topics

Courses for which this course is prerequisite