INDUSTRIAL MATHEMATICS AND STATISTICS

An Interdepartmental Bachelor of Science

offered by

The Eberly College of Arts and Sciences

 

Not Just Another Degree

This degree has been designed for those students with a strong interest in applying a wide range of skills in mathematics, statistics and computer science to problems encountered in "real world" settings. In addition to course work in these areas, students will also obtain expertise in an area of application in which they are interested. They will be able to seek employment in a wide range of fields including statistics, computer science, and applied mathematics. According to a 1993 survey of recent graduates performed by the National Science Foundation, while only 12% of the graduates in the mathematical sciences obtained degrees with a concentration in applied math or statistics (82% had degrees in general math), 63% of those employed in nonacademic jobs reported that the two jobs they spent the majority of their time on were computer applications and applied research. This degree is designed to enhance a student’s marketability by giving them expertise in mathematics, statistics, and computer science.

 

What Kind of Job can an IMS Student Get?

IMS students can select jobs from many opportunities. Those more interested in the statistics side of the degree will be able to seek jobs as statisticians. About one-fourth of those employed as statisticians work in the federal government in such organizations as the Departments of Commerce, Agriculture, and Health and Human Services. Outside of the government, most statisticians are employed in private industry, especially in the insurance, pharmaceutical, health, manufacturing, research and testing services, and computer and data processing industries.

Those more interested in the applied mathematics side of the degree who want to work outside of academics are usually part of interdisciplinary teams that are often divided evenly among mathematicians, computer scientists, and engineers with a smaller proportion of physical scientists. Applied mathematicians and statisticians have found employment in organizations such as:

(Source: Society for Industrial and Applied Math., "Careers Bulletin")

 

What Kind of Problems do IMS Professionals Work On?

The problems that applied mathematicians work on are very diverse. Some of the problems that applied mathematicians and statisticians in industry have faced and solved include:

 

 

What about IMS Research at WVU?

Researchers in the Departments of Mathematics and Statistics here at WVU are working on a wide range of problems that are of interest on both a local and national scale. A few examples of these are:

 


Gypsy Moths & the Timber Industry
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Gypsy moth caterpillars are voracious eaters. During one year (1981) they ate the leaves from 6 million hectares of oak forest in PA alone, causing a loss to their timber industry of $72 million. Accurate prediction of when such large outbreaks of this forest pest will occur has proven difficult. Research done at WVU may have a partial answer as to why this difficulty exists. This research has demonstrated that the response of these populations to how much food is available and how many caterpillars are present per hectare is fractal in nature (see the figure at the right). This means that any small error in estimating the number of caterpillars present this year can lead to huge errors in the prediction for next year, and completely unreliable ones thereafter.

 

Using Coal Efficiently

Coal is an important natural resource in West Virginia. One of its most important uses is its conversion into electrical power, much of which is done through combustion (burning) in a fluidized bed. Ground up coal is placed in a cylindrical or box shaped apparatus, and air is blown up from the bottom of the bed, causing the particles to float, or become "fluidized". This fluidization allows for more efficient burning of the coal. Under a variety of conditions, the bed develops what look like bubbles of air rising through the floating particles. A simulation of such a bed is shown at teh right. One goal of this research is to understand how these bubbles affect the dynamics of the bed, which impacts the efficiency of the combustion of the coal.

 


Predicting Lung Disease

Lung diseases such as emphysema and fibrosis affect the efficiency of the lungs. One way to measure this effect is being studied by researchers at WVU. In an aerosol bolus dispersion test, the patient inhales a known quantity of particulate matter. When exhaled, the concentration of particles coming out of the lungs is measured as a function of time. It is believed that certain concentration profiles can be ascribed to abnormalities in lung function. Examples of the concentration profiles for a smoker (red circles) and a non-smoker (black circles) are shown in the figure at the right, where the concentration is shown as a function of time. Researchers are developing models to study such profiles as a diagnostic tool for catching lung disease in its earliest stages.

 

Molecular Entropy

The interactions between cells in the body, as well as the actions of drugs on these cells, are governed by the interplay between molecules such as proteins and DNA, and the particular shapes they assume. Statistical models of the various shapes that these molecules are capable of assuming are important for understanding how normal biological and biochemical processes occur, how environmental toxins affect mammals, and aid in the design of new therapeutic agents. Entropy is one measure of the ability of molecules to change their configuration. In a joint effort with the National Institute for Occupational Safety and Health, researchers in the Statistics Department are developing probabilistic models which will enable more accurate prediction of these important conformational changes in biological molecules.

 


Biometrics Identification Systems

Increasingly, personal identification numbers and passwords are being replaced by fingerprints and retinal scans. The reason for this change is the need for heightened security in some environments such as the Internet. Researchers in the Department of Statistics, in collaboration with faculty in the Department of Computer Science and Electrical Engineering, are developing methodology for assessing the overall performance of such systems. The goal of this research is to estimate the probability that such a device will misclassify a user. Modern hierarchical statistical methods with heavy computational aspects are being employed to carry out this work.

 

Degree Requirements

A total of 128 hours is required for graduation. The Industrial Mathematics and Statistics curriculum includes the following required background courses (19 hours): MATH 155, 156, 251, 261, and STAT 215. The IMS program has the following core courses (12 hours) that all students must take: MATH 441 and Mathematical Modeling (the proposed MATH 463); STAT 312 and 461.

The student then has the option of selecting a mathematics or a statistics emphasis (9 hours):

The required Capstone Experience for the IMS program requires the following courses: 1 hour of STAT 482 or MATH/STAT 491 or MATH/STAT 495; 1 hour of MATH/STAT 494; 1 hour of MATH/STAT 496. These courses should be taken during the student’s senior year.

Students must also satisfy all requirements of the ECAS Bachelor of Science. For IMS students interested in computer science, the following normally restricted courses are available to IMS majors: CS 110, 111, 210, 220, 250, 320, and 330.

Recommended Electives: The recommended electives in Mathematics and Statistics are: MATH 283, 364, 420, 456, and 465; MATH/STAT 222; STAT 217, 313, 316, 331, 421, 445, and 462.

 

Performance Requirements

To maintain Industrial Mathematics and Statistics major status and to graduate, students must maintain at least a 2.0 overall GPA and a 2.0 cumulative GPA in coursework in mathematics and statistics.

 

MORE INFORMATION

Please  contact:

Sherman Riemenschneider, Chair Dept. of Mathematics, West Virginia University,Morgantown, WV 26506

Phone: (304) 293-2011;    Email: sherm@math.wvu.edu

--------------------or--------------------

James Harner, Chair Dept. of Statistics, West Virginia University, Morgantown, WV 26506

Phone: (304) 293-3607;    Email: jharner@stat.wvu.edu