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Undergraduate Certificate in Applied Statistics

There is a growing need for qualified statistical analysts of the ever-increasing amounts of data collected in business, industry, and government. The Certificates in Applied Statistics program is designed to give students a strong background in statistical methodology and data analysis in preparation for opportunities in the work force or for graduate studies.

Students will gain competence in such topics as descriptive statistics, estimation, confidence intervals, probability and inferential techniques, simple and multiple regression, analysis of variance, and more-advanced topics. Students can focus on a particular application area such as economics, psychology, sociology, geology or environmental science through the choice of an elective course and the data analysis project.

Admission Requirements
All undergraduate students in good standing (including non-degree seeking students) will be admitted to the program. For students in the College of Liberal Arts and Sciences, this requires a cumulative grade point average of 2.0 or above. Students must also have some mathematical background, including completion of calculus 1, 2 and 3, as well as linear algebra with a grade of B- (3.0) or better. Students enrolled in the certificate program will be expected to utilize concepts from calculus and linear algebra without the use of technology, e.g., evaluation of limits, derivatives and integrals.
The Statistics Certificate program requires four courses and an independent study (13 total credit hours). See the University of Colorado Denver course catalog for course browsing and descriptions.
One Course in Probability (3 credit hours)
It is strongly advised that MATH 4810 be taken rather than MATH 3800.
  • MATH 3800- Probability and Statistics for Engineers
    Basic probability theory, discrete and continuous random variables, point and interval estimation, test of hypotheses, one-way analysis of variance, and simple linear regression. Note: no co-credit with MATH 4810. Prereq: MATH 2411; coreq: MATH 2421. Semester Hours: 3 to 3
  • MATH 4810 – Probability
    Examines elementary theory of probability, including independence, conditional probability, and Bayes’ theorem; random variables, expectations and probability distributions; joint and conditional distributions; functions of random variables; limit theorems, including the central limit theorem. Note: No co-credit with MATH 3800. Prereq: MATH 3191; Coreq: MATH 2421. Cross-listed with MATH 5310. Semester Hours: 3 to 3

One Course in Mathematical Statistics (3 credit hours)
  • MATH 3382 – Statistical Theory
    Probability, random variables, properties of distributions, bootstrap methods, maximum likelihood and method of moments estimation, properties of estimators, classical methods for confidence intervals and hypothesis testing. This course assumes students have passed Math 2421 with a C- or better.  Students who have a grade a B- or better in Math 2421 pass this course at a much higher rate. Semester Hours: 3 to 3

One Advanced Applications Course (3 credit hours)
  • MATH 4387 - Regression Analysis, Modeling and Time Series
    Topics include linear and multiple regression, basic experimental designs, one-way analysis of variance. Emphasis is on practical aspects and applications of linear models to the analysis of data in business engineering, behavioral, biological and physical sciences. Prereq: MATH 3191 and 3800/4820. Cross-listed with MATH 5387. Semester Hours: 3 to 3. When Offered: FALL

One Elective (3 credit hours)
Choose any statistics course in the Department of Mathematical and Statistical Sciences at the 4000 level or higher. Course must be pre-approved by the Certificate Coordinator. MATH 4830 cannot apply towards the certificate. Representative courses include:
  • ECON 4030- Data Analysis with SAS
  • ECON 4150- Economic Forecasting
  • ECON 4811- Introduction to Econometrics
  • GEOG 4770- Applied Statistics for the Natural Sciences
    Cross-listed with GEOL 4770
  • Or an equivalent course pre-approved by the Certificate Coordinator
Project, Independent Study (1 credit hour)
An independent data analysis project with a report and presentation to demonstrate proficiency with data analysis techniques and a statistical computing software package. Enroll for one hour of MATH 4840, Independent Study, or in an equivalent course pre-approved by the Certificate Coordinator.
Students must maintain a 3.0 GPA or above in these courses with no credit given for courses with grades below B-. ​
Since a certificate is a University of Colorado Denver certification of a student's specialized knowledge in an advanced subject area, all courses in the certificate program must be taken in residency at University of Colorado Denver. Students much be enrolled in one course per year to maintain their status in the certificate program. Certificates must be completed within 3 years from matriculation.​
​All applicants (whether degree seeking or non-degree seeking) must download, fill out, and submit the Statistics Certificate Application to:

University of Colorado Denver
Mathematical & Statistical Sciences
Statistics Certificate Coordinator
Campus Box 170
PO Box 173364
Denver, CO 80217-3364

Please make sure to submit all application materials listed on the form that coincide with your enrollment status.

If you have not already been admitted into the University of Colorado Denver in a degree or non-degree program, follow the link below to apply through University Admissions, and follow the submission guidelines on the Statistics Certificate Application (above) to apply to the Math Department.

If you are having trouble viewing the application, download a free PDF reader.​

For more information, contact the Undergraduate Program Chair, Dr. Florian Pfender:

Campus Address:
Student Commons Building
Suite 4215

Phone: 303-315-1714​​


Mailing Address:
Dept. Of Mathematical & Statistical Sciences
Campus Box 170
University Of Colorado Denver
P.O. Box 173364
Denver, CO 80217-3364