Nov 26, 2020  
2013-2014 CU Denver Catalog 
2013-2014 CU Denver Catalog [ARCHIVED CATALOG]

Mathematical and Statistical Sciences

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Chair: Michael S. Jacobson
Associate Chair: Lynn Bennethum
Program Assistant: Margie Bopp
Administrative Assistant: Angela Beale
Office: CU-Denver Building, 600
Telephone: 303-556-8442
Fax: 303-556-8550


Centers and Clinics
Undergraduate Program
Graduate Program



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 Wisconsin-Madison
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
RaKissa Cribari, EdD, University of Northern Colorado
Michael Kawai, MS, University of Colorado
Lance Lana, MS, University of Colorado
Gary Olson, MS, University of Colorado
Research Faculty:
Loren Cobb, PhD, Cornell University
Jonathan Beezley, PhD, University of Colorado
Jinhai Chen, PhD, Hong Kong Polytechnic University
Ashok Krishnamurthy, PhD, University of Louisville
Bedrich Sousedik, PhD, University of Colorado
Paul Wenger, PhD, University of Illinois at Urbana-Champaign
Rico Argentati
Russell Bowler
Karen Braman
David Brown
Peter Bryant
Pavel Burda
Massimo Buscema
Arthur Busch
Changhui Choi
Janice Coen
Dan Cooley
George Corliss
Jack Dongarra
Markus Emsermann
Mark Fitzgerald
Laurie Gaspar
Ellen Gethner
Fred Glover
Gary Grunwald
William Hart
Ilse Ipsen
Rodney James
Abram Jujunashvi
Karen Kafadar
Gary Kochenberger
Mark Labovitz
Long Lee
Jiangguo Liu
Ning Lu
Fernando Mancilla-David
Richard Naff
Christopher Nelson
Francis Newman
Diane O’Leary
Beresford Parlett
Tzu Lip Phang
Tim Penttila
Steve R. Sain
Kristian Sandberg
Frederic Valentin
Sam Welch
Jason Williford
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


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 computer-dependent disciplines.


Center for Computational & Mathematical Biology

Director: Weldon Lodwick
Telephone: 303-556-8462

The Center for Computational Biology (CCB) is a multidisciplinary center focused on computational and mathematical biology research and education.


Center for Computational Mathematics

Director: Jan Mandel
Telephone: 303-556-4475

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


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.


Statistical Consulting Service

The Department of Mathematical and Statistical Sciences regularly offers a graduate course in statistical consulting in which students work on problems provided by researchers and clients at CU Denver and in the Denver metropolitan area. Potential clients should contact Loren Cobb at or 303-556-8571.


Undergraduate Program

Director: Julien Langou
Telephone: 303-556-3919

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 .) 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:

Previous Mathematics Courses Recommended First Course
A. one year high school algebra and one year high school geometry Beginning or intermediate algebra at a community college
B. two years high school algebra and one year high school geometry
(i)   C average
(ii)  at least B average

MATH 1110 - College Algebra 
MATH 1120 - College Trigonometry 

C. two years high school algebra and one year high school geometry with trigonometry
(i)   C average
(ii)  at least B average
MATH 1130 - Precalculus Mathematics 
MATH 1401 - Calculus I 

Students planning to take MATH 1070, MATH 1110 or MATH 1401 must take a prerequisite exam. For more information, see How, When, and Where to Take a Placement or Prerequisite Exam .   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 (2.25) and with a grade of at least C- in each course. At least 30 semester hours must be in upper-division 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 CU Denver). Furthermore, 21 out of the last 30 hours must be taken at CU Denver. Finally, at least 15 upper-division mathematics credits must be taken at CU 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.




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 upper-division 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: 303-556-2547


Applied Statistics Certificate - Undergraduate 

Applied Statistics Certificate - Graduate 


Graduate Program

Director: Stephen Billups
Telephone: 303-556-4814

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 Mathematical & Statistical Sciences Graduate Handbook (June 2012) . 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 1: 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 Mathematical & Statistical Sciences Graduate Handbook (June 2012)  for details.








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