Math 231 Probability and Statistics [3]

Instructor: Ping-Shi Wu
 

Current Course Catalog Description

Probability and distribution of random variables; populations and random sampling; chi-square and t distributions, estimation and tests of hypothesis; correlation and regression theory of two variables. Prerequisites: MATH 22 or MATH 32 or MATH 52.

Textbook

"Statistics for Engineers and Scientists", 2nd Ed., William Navidi                  

References  

None

Course Outcomes

Students should master the following concepts and techniques, with the ultimate goal of their application in statistical inference:

1.  basic notions of probability
2.  random variables and their distributions/densities
3.  joint distributions/densities, linear combinations, covariance and correlation
4.  intensive work with important distributions (e.g. binomial, geometric, hypergeometric, Poisson, normal, exponential and t distributions)
5. random sampling and sampling distributions
6. point and interval estimation
7. hypothesis tests on means and proportions

Prerequisites by Topic

1. Integration (including improper integrals) and series from Calculus II

Major Topics Covered in the Course

See above under Course Outcomes

Relationship between Course Outcomes and Program Outcomes

The MATH 231 outcomes strongly support the following outcome:

A. An abililty to apply knowledge to computing and mathematics appropriate to the discipline

Assessment Plan for the Course

The students take two midterms and a final examination. They hand in written homework with a frequency brtween one and two assignments per week. Each homework assignment typically covers a single section of text.