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Mathematical Probability and Statistics
MAT 253 Textbook: A Brief Course in Mathematical Statistics, Tanis and Hogg. 0-13-175139-5. A graphing calculator (such as the TI-84) will be required for successful completion of this course.
Web Resources:
HYPERLINK "http://math.exeter.edu/rparris/default.html" \t "_blank" Peanut Software freeware math software. Winstat and Winplot may be used for some of the student computational projects.
HYPERLINK "http://www.maa.org/" \t "_blank" MAA Online - general interest information and many links to other web resources for calculus.
HYPERLINK "http://mical.mc.edu/" \t "_blank" MC Library - HYPERLINK "http://www.jstor.org/" \t "_blank" JSTOR Online Journals (on-campus access only)
Prerequisites: MAT 122. Students who have completed MAT 121 and are currently enrolled in MAT 122 will need instructor's consent.Writing Projects:
Useful Periodicals:
The American Mathematical Monthly, published by the Mathematical Association of America, 1529 Eighteenth Street, NW, Washington, DC 20036-1385
The College Mathematics Journal, published by the Mathematical Association of America, 1529 Eighteenth Street, NW, Washington, DC 20036-1385
Mathematics Magazine, published by the Mathematical Association of America, 1529 Eighteenth Street, NW, Washington, DC 20036-1385
Sample of Assigned Articles
A New Look at the Probabilities in Bingo, Agard and Shackleford, CMJ, Vol 33, #4, Sept 2002
The Average Speed on the Highway, Clevenson, et.al., CMJ, Vol 32, #3, May 2001
Perfecting the Analog of a Deck of Cards..., J.G. Simmonds, CMJ, Vol 33, #1, Jan 2002
A Rational Solution to Cootie, Benjamin and Lluet, CMJ, Vol 31, #2, March 2000
Each of these papers should be read and a written review prepared. In the review, the student should point out the major points of the article including how the article related to the material being studied in this class. Comments on the examples presents and on "obvious" statements given should be included. Any extensions, applications or connections to other material that the student discovers should be included..
Course Outline: People often make claims about being the biggest, best, most often recommended, etc. One sometimes even believes these claims. In this class, we will attempt to determine if such claims are reasonable by first introducing probability from a semi rigorous mathematical viewpoint using concepts developed in Calculus. We will use this framework to carefully discuss making such statistical inferences as above and in general to obtain accurate knowledge even when the known data is not complete. For general mathematics majors, this course satisfies the applied area requirement (III) listed in the college catalog. For math education majors, this course is required.
This course carries three hours of academic credit.
(From the college catalog: This course is a calculus based introduction to probability and statistics. Major emphasis is placed on developing a precise framework for solving problems under uncertainty. Topics covered include expected value, probability density functions and their distributions, interpretation of the Central Limit Theorem and its application to confidence intervals and hypothesis testing.)
Learning Objectives: This term, we will rigorously investigate the following concepts:
various descriptive measures and methods including:
random variables
measures of the middle and the spread
how to deal with grouped data
expected value and distribution measures
discrete random variables, their distribution properties and how to apply them
uniform
hypergeometric
bernoulli
binomial
geometric
negative binomial
Poisson
continuous random variables, their distribution properties and how to apply them
uniform
exponential
normal
others, as time permits
grouped data and the Central Limit Theorem
confidence intervals
statistical tolerance intervals
various types of hypothesis testing (as time permits)
Meetings: The format of class meetings will consist generally of lectures by the instructor. Student participation will be encouraged via classroom discussions as well as problem sessions where the student will present their work.
This class meets as scheduled. You are expected to be in class on time. University policy states that a student cannot miss more than 25% of class meetings and receive credit for the course. Further, attendance will be necessary in order to understand the material and make a good grade. The student is responsible for work and material missed when absent. Cheating in any way will be properly rewarded according to University policy (See the Undergraduate Bulletin; HYPERLINK "http://www.mc.edu/publications/policies/academic/219.html" http://www.mc.edu/publications/policies/academic/219.html).
MISSISSIPPI COLLEGE ACADEMIC POLICIES:
Students should consult the Mississippi College policy manual located at http://www.mc.edu/resources/publications/policies/ for official information regarding:
Class attendance - Policy 2.10
Grading - Policy 2.15
Cheating - Policy 2.19
Counseling and Career Services - Policy 2.25
Research - Policy 2.27
Counseling and Testing Center - Policy 2.34
Students who may require accomodation due to a documented handicap should follow the procedures located at http://www.mc.edu/about/offices/counseling/disabilities/
The Generic Grading Scale for this course is A = 90-100, B = 80-89, C = 70-79, D = 60-69. Individual instructors are free to choose a different grading scheme so students should consult their section's particular syllabus for the official grading scale to be utilized.
Tutoring Hours:
Hours and location for the departmental tutoring center are posted at http://www.mc.edu/academics/academic-tutoring/ .
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