20102011 Denver Campus Catalog [ARCHIVED CATALOG]
Mathematical and Statistical Sciences


Chair: Michael S. Jacobson
Associate Chair: Lynn S. Bennethum
Program Assistant: Lindsay Hiatt
Administrative Assistant: Angela Beale
Office: CUDenver Building, 600
Telephone: 3035568442
Fax: 3035568550
Web site: math.ucdenver.edu/
Centers and Clinics
Undergraduate Program
Graduate Program
Faculty


Professors: 
William E. Cherowitzo, PhD, Columbia University 
Leopoldo Franca, PhD, Stanford University 
Michael S. Jacobson, PhD, Emory University 
Andrew Knyazev, PhD, Institute of Numerical Mathematics, Russian Academy of Sciences 
Weldon A. Lodwick, PhD, Oregon State University 
J. Richard Lundgren, PhD, Ohio State University 
Jan Mandel, PhD (equivalent), Charles University (Czechoslovakia) 
Stanley E. Payne, PhD, Florida State University 

Associate Professors: 
Lynn Bennethum, PhD, Purdue University 
Stephen Billups, PhD, University of WisconsinMadison 
Roxanne M. Byrne, PhD, University of Colorado 
Anatolii Puhalskii, PhD, Moscow Institute of Physics and Technology 
Stephanie A Santorico, PhD, North Carolina State University 
Burton Simon, PhD, University of Michigan, Ann Arbor 

Assistant Professors: 
Steven Culpepper, PhD, University of Minnesota 
Alexander Engau, PhD, Clemson University 
Michael Ferrara, PhD, Emory University 
Joshua French, PhD, Colorado State University 
Julien Langou, PhD, INSA, Toulouse, France 
Diana White, PhD, University of Nebraska 

Instructors: 
RaKissa Cribari, EdD, University of Northern Colorado 
Michael Kawai, MS, University of Colorado 
Nathan Kurtz, MS, University of Colorado 
Lance Lana, MS, University of Colorado 
Gary Olson, MS, University of Colorado 

Research Faculty: 
Loren Cobb, PhD, Cornell University 

PostDocs: 
Jonathan Beezley, PhD, University of Colorado 
Jinhai Chen, PhD, Hong Kong Polytechnic University 
Yongku Kim, PhD, Ohio State University 
Ashok Krishnamurthy, PhD, University of Louisville 

Adjuncts: 
Rico Argentati 
Arthur Busch 
George Corliss 
Faun Doherty 
Markus Emsermann 
Mark Fitzgerald 
Sylvia Hobart 
Joan Hutchinson 
Masahiro Inuiguchi 
Craig Johns 
Roger Johnson 
Abram Jujunashvi 
Karen Kafadar 
David Mays 
Doug Nychka 
Brooks Reid 
Steve R. Sain 

Emeritus Faculty: 
William Briggs, PhD, Harvard University 
Kathryn L. Fraughnaugh, PhD, University of Houston 
Harvey J. Greenberg, PhD, Johns Hopkins University 
Zenas R. Hartvigson, PhD, Oregon State University 
Sylvia Lu, PhD, Pennsylvania State University 
Roland Sweet, PhD, Purdue University 


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The Department of Mathematical and Statistical Sciences offers courses and research opportunities with an emphasis on applied and computational mathematics. Traditional courses such as calculus, linear algebra, probability, statistics and discrete mathematics are offered regularly by the department. In addition, contemporary subjects such as continuous, probabilistic, optimization and discrete modeling; supercomputing; numerical analysis; optimization; and operations research are also well represented by course offerings and faculty interests. In all of its activities, the department embodies the outlook that mathematics is a powerful tool that can be used to solve problems of immediate and practical importance.
The study of mathematics with an emphasis on computers and applications can prepare students for careers in engineering, the sciences, business and management, actuarial science, public health and all computerdependent disciplines.
Center for Computational Biology
Director: Stephen Billups
Telephone: 3035564814
Web site: http://ccb.cudenver.edu
The Center for Computational Biology (CCB) is a multidisciplinary center focused on computational biology research and education. A complete description of the CCB is provided at the CCB Web site.
Center for Computational Mathematics
Director: Jan Mandel
Telephone: 3035564475
Web site: http://math.ucdenver.edu/ccm/
The Center for Computational Mathematics is composed of faculty members who have an interest in computational mathematics, the study of solving mathematical problems with computers. The center resides in the Department of Mathematical and Statistical Sciences and includes faculty members from various other departments. The primary goal of the center is to foster research in computational mathematics and to maintain a strong educational program at all levels. It has extensive ties with industry along the Front Range and with government laboratories throughout the nation. It offers students an excellent opportunity to receive training and experience in this exciting new field. The center operates a supercomputing cluster, Beowulf.
Math Clinic
Web site: http://math.ucdenver.edu/clinic/
Each semester, the mathematical and statistical sciences department conducts math clinics that are open to both undergraduate and graduate students. Each clinic is sponsored by a business, government agency or research organization. The clinic sponsor provides a specific project on which students work with the supervision of a faculty member and a sponsor representative. Every clinic results in a final report to the sponsor and provides participating students with an opportunity to apply mathematics to relevant problems. Recent math clinic sponsors include Raytheon, Lockheed Martin, Xenometrix, Budget Truck Rental and United Launch Alliance.
Statistics Consulting Workshop
The Department of Mathematical and Statistical Sciences regularly offers a graduate course in statistics consulting in which students work on problems provided by researchers and clients at the Downtown Campus and in the Denver metropolitan area. Potential clients should contact Loren Cobb at stats@math.ucdenver.edu or 3035568571.
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Undergraduate Program
Director: Julien Langou
Telephone: 3035563919
The Department of Mathematical and Statistical Sciences offers a BS program that provides broad training in mathematics with the option of specializing in one of seven areas of special emphasis, or simply satisfying the requirements without specifying an area. The seven areas of emphasis are: pure mathematics, applied mathematics, computer science, discrete mathematics, probability and statistics, actuarial science and mathematics education. (Required courses for each option are given on the Requirements for Math Majors page.) Graduates typically teach, work in actuarial firms, develop software, work for engineering companies, perform statistical analysis for private and public organizations or pursue graduate work in mathematics.
Selecting a First Mathematics Course (Mathematics Majors)
The following table is a guide for mathematics majors selecting a first mathematics course:
Students planning to take MATH 1070, MATH 1110 or MATH 1401 must take a prerequisite exam. For more information, see Math Prerequisite Exams . Students with transfer or advanced placement credit should see an academic advisor in the Department of Mathematical and Statistical Sciences.
The BS in mathematics requires a minimum of 48 semester hours in mathematics with an average of C (2.0) and with a grade of at least C in each course. At least 30 semester hours must be in upperdivision courses (3000 level or above), excluding MATH 3040. To graduate, a mathematics major must have a minimum of 30 hours of resident credit (letter grades received at UC Denver). Furthermore, 21 out of the last 30 hours must be taken at UC Denver. Finally, at least 15 upperdivision mathematics credits must be taken at UC Denver.
Students must declare a major in the CLAS Advising Office by the time they have completed 60 semester hours. At this time, they will also be assigned a mathematics advisor in the Department of Mathematical and Statistical Sciences, whom they should consult at least once a semester. All mathematics majors should visit the CLAS Advising Office to have graduation requirements checked.
REQUIREMENTS FOR MATHEMATICS MAJOR
REQUIREMENTS FOR THE MATHEMATICS MINOR
Graduation With Honors
The mathematical and statistical sciences department recognizes students who complete the undergraduate program with distinction. To be eligible for graduation with honors (cum laude, magna cum laude, summa cum laude), a student must graduate with an overall GPA of 3.2 or better; must have a GPA of 3.5 or better in upperdivision math courses; and must complete an honors project. Specific details may be obtained from the Department of Mathematical and Statistical Sciences. Students who wish to be considered for graduation with honors should notify a mathematics advisor as early in the program as possible.
Applied Statistics Certificate
Director: Stephanie Santorico
Telephone: 3035562547
Web site: http://math.cudenver.edu/statistics/certificates.shtml
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Graduate Program
Director: Stephanie Santorico
Telephone: 3035562547
The Department of Mathematical and Statistical Sciences offers the MS degree in applied mathematics and the PhD degree in applied mathematics. Each of these degree programs conforms to the rules and policies of the Graduate School .
Detailed descriptions of the requirements for the MS and PhD degrees are maintained in the Math Graduate Handbook . The following is an abbreviated summary of these requirements.
Requirements for Admission
To begin graduate work toward the MS or PhD degrees, a student should have at least the following preparation: 30 semester hours of mathematics [B (3.0) or better], at least 24 of which are at or above the level of MATH 3000. These courses should include a full year of advanced calculus or introduction to analysis, one semester of linear algebra and one semester of either differential equations, abstract algebra, discrete mathematics or probability. Additionally, students should take the GRE exam.
Students who do not have all the prerequisites may be admitted with prerequisite deficiencies with the understanding that those deficiencies must be removed after admission. Students who have a cumulative undergraduate GPA that is less than 3.0 may be eligible for provisional admission to the master’s program (see also the Graduate School admission requirements).
Application Deadlines
Applications to the MS or PhD program should be submitted by the following target dates to be guaranteed full consideration. International students should submit their applications one month prior to these target dates.
Target Dates for PhD Program 
Target Dates for MS Program 
Feb 15: fall or summer semester

Apr 1: fall or summer semester

Oct 1: spring semester

Nov 1: spring semester

Applications received after the target dates may still be considered for admission, depending on space availability.
Financial Support
PhD students and exceptionally strong MS students are encouraged to apply for teaching assistantships. A variety of other opportunities for financial support are also available. See the Math Graduate Handbook for details.
REQUIREMENTS FOR THE MS IN APPLIED MATHEMATICS
REQUIREMENTS FOR THE PhD IN APPLIED MATHEMATICS
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