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Academic Year 2005/2006

## ProbabilityMATH 231 FA

After a brief introduction to the reasons for studying probability and statistics, the course treats the fundamentals of probability theory: sample spaces, events and their probabilities, conditional probability and independence, discrete and continuous random variables, simulation, expectation and variance, functions of random variables, joint distributions, and covariance and correlation. It finishes with proofs of the two most important theorems of the subject, the law of large numbers and the central limit theorem. This is the first course in a two semester sequence, the second course being devoted to statistics.

#### MAJOR READINGS

PROBABILITY AND STATISTICS FOR THE 21ST CENTURY, by F.M. Dekking et al; for an electronic copy please see the instructor.

#### EXAMINATIONS AND ASSIGNMENTS

One chapter (approximately 14 pages) per week will be assigned, with five exercises per week to be turned in. Full understanding of each chapter is expected, and will be judged as the course progresses. Students will be informed weekly of their progress and current grades.

#### ADDITIONAL REQUIREMENTS and/or COMMENTS

A basic understanding of calculus and limit procedures is expected. Regular class attendance is essential. The course format will be mixed lecture, discussion, and problem solving in class.

COURSE FORMAT: Lecture

#### REGISTRATION INFORMATION

Level: UGRD    Credit: 1    Gen Ed Area Dept: NSM MATH    Grading Mode: Graded

Prerequisites: NONE

#### SECTION 01

Instructor(s): Keane,Michael S.
Times: ..T.R.. 09:00AM-10:20AM;     Location: SCIE150;
Reserved Seats:    (Total Limit: UNL)

Special Attributes:
Curricular Renewal:    Quantitative Reasoning
Links to Web Resources For This Course.

Last Updated on MAR-30-2006

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