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Graduate Programs

The department offers Masters and Ph.D. programs in Mathematics and a Masters in Applied Statistics.

The Ph.D. program usually takes 3.5-5 years to complete. The Masters programs usually takes 1.5-2 years to complete. All requirements of the Graduate School must be met besides specific department requirements.

Masters degrees come in two forms:
  • Plan A has a written thesis.
  • Plan B involves a project.
Both have a verbal presentation and defence to complete the degree. 36 credit hours is required.

Ph.D. degrees have a significant written dissertation based on a significant and extensive research project. 72 credit hours is required.

All degrees require:
  • Passing the Foundation Exam.
  • Maintaining a 3.0-4.0 cumulative grade point average.
  • Receiving an A or B in all required courses.


Admission Requirements

  • Transcripts: Please provide electronic copies of transcripts from all undergraduate and graduate institutions attended. You need a cumulative grade point average of at least 3.0 out of 4.0.
  • GRE scores: To be considered for admission, an applicant needs a quantitative score of at least 157, and a verbal reasoning score of at least 143, and the exam MUST have been taken within the last 5 years. Although the GRE Mathematics Subject Test is not required, it is desirable, and subject-test scores should be submitted if available.
  • TOEFL scores: Required for all international applicants. English proficiency is given serious consideration by the admissions committee. The minimum requirement is a composite score of 76 on the Internet-based exam (iBT), or a 6.5 on the IELTS, and MUST have been taken within the last 2 years.
  • Three letters of recommendation: If possible, your recommenders should write about your mathematical experiences, research accomplishments, teaching effectiveness, and work ethic.
  • Personal statement: Please discuss your accomplishments and goals. Also address whether you are requesting a graduate assistantship.

Ph.D. Requirements

  • Teach two semesters of college mathematics.
  • Pass one of the Qualifying Exams.
  • Pass the Preliminary Exam.
  • Demonstrate competence in a research tool, such as a foreign language or a mathematical software package.
  • Write and orally defend a doctoral dissertation.
  • Complete a combination of 72 semester hours of coursework and dissertation research.

Masters Requirements

  • Complete one semester of Math 5800-01, Professional Development.
  • Complete 4 credits of Math 5960, Thesis Research (for Plan A degree only).
  • Write and present a Plan A Thesis or a Plan B project.
  • Complete at least 30 hours of math content course work at the 5000 level or above. Within these hours, the following core mathematics courses must be completed:
    • 5200 Real Variables I
    • 5230 Complex Variables I
    • 5400 Methods of Applied Mathematics I
    • 5310 Computational Methods I
    • 5500 Advanced Linear Algebra
    • 5550 Graduate Abstract Algebra


Admissions Requirements

A minimum combined score of 291 is required for Master's applicants.
GRE scores are valid for 5 yrs.

Applicants for whom English is not their first language must complete the TOEFL (600 or 100 iBT minimum score) examination or IELTS (6.5 minimum score). However, financial assistance is typically provided to only those students with demonstrated communication skills in spoken English and to those whose TOEFL scores reach 650 and above (114 Ibt) or IELTS (7.0). Therefore, for all students desiring to be considered for financial assistance we recommend taking the TSE (Test of Spoken English) examination or being able to present other evidence of English speaking ability.

The department of Mathematics & Statistics requires 3 confidential letters of recommendation, mailed directly from recommender (these may be emailed to or submitted through the admissions application process).


This degree is on hiatus and is being reworked. We are not accepting applicants for this degree at this time.

Masters Requirements

Plan B, option 1

The Master's Program in Applied Statistics will give the student an extensive and broad background in statistical methods, data analysis, and written and oral presentation skills. This degree is a terminal experience in graduate statistical education and should not be viewed as preparatory for entrance into a Ph.D. program in statistics. Graduates will have the necessary background to work as data management specialists, statistical analysts, and as project managers within a wide range of research organizations.
  • Required: 21 credit hours
    • Stat 5015 Regression Analysis
    • Stat 5025 Design and Analysis of Experiments
    • Stat 5155 Fundamentals of Sampling
    • Stat 5255 Mathematical Theory of Probability
    • Stat 5265 Introduction to the Theory of Statistics
    • Stat 5380 Bayesian Data Analysis
    • Stat 5470 Data Analysis
  • Electives: 15 credit hours
    • A minimum of 15 credit hours in other acceptable graduate courses. Acceptable courses include statistics courses numbered 5000 or higher, excepting 5000, 5050, 5060, 5070, 5080 and 5185

Graduate Interdisciplinary Computational Science Minor

The UW Departments of Botany, Chemistry, Computer Science, Geology and Geophysics, Mathematics and Statistics, Mechanical Engineering, and Physics collaborate to offer a graduate minor in Interdisciplinary Computational Science (ICS). The ICS minor will help prepare graduate students in science, mathematics and engineering to play leading roles in their profession of choice.
The graduate ICS minor is based on the following requirements:
  • The student must earn 15 credit hours in specified courses.
  • Within the 15 credits, the student must earn at least 12 credits in graduate level classes (5000).
  • Within the 15 credits, the student must earn 6 credits outside of her/his department.
  • Only grades of B or better will be accepted for a course counting towards the minor.

Core Courses (9 credit hours required)

  • Computational Methods in Applied Sciences I (MATH 5310/COSC 5310), 3 hrs.
  • Introduction to High-Performance Computing (COSC 5010), 3 hrs.
  • Computational Methods II (MATH 5340/COSC 5340), 3 hrs.
  • Computational Biology (BOT 4550/5550), 4 hrs.
  • Groundwater Flow and Transport Modeling (GEOL 4030/5030), 3 hrs.
  • Computational Fluid Dynamics I (ME 5461), 3 hrs.
  • Computational Fluid Dynamics II (ME 5462), 3 hrs.
  • Computational Methods in Statistics (STAT 5660), 3 hrs.
  • Convex Optimization (EE 5490), 3 credits

Elective Courses (6 credit hours required)

  • Analysis of Algorithms (COSC 5110), 3 hrs.
  • Advanced Bayesian Statistics (STAT 5680), 3 hrs.
  • Bayesian Data Analysis (STAT 5380), 3 hrs.
  • High-Performance Computing in Geosciences (course number to be obtained), 2 hrs.
  • Mathematics Modeling of Processes (MATH 5320), 3 hrs.
  • Molecular Modeling (CHEM 4560/5560), 3 hrs.
  • Mathematical and Computational Methods in Physics (PHYS 4840), 3 hrs.
  • Mathematical Modeling (MATH 4300), 3 hrs.
  • Object and Pattern Recognition (EE 5650), 3 hrs.
  • Introduction to Finite Element Analysis (ME 5040), 3 hrs.
  • Advanced Finite Element Analysis (ME 5045), 3 hrs.
Send email to Dr. Dan Stanescu for questions about the graduate minor in Interdisciplinary Computational Science.


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Department of Mathematics and Statistics

Dept. 3036, 1000 E. University Ave.

Laramie, WY 82071-3036

Phone: 307-766-4221

Fax: 307-766-6838


1000 E. University Ave. Laramie, WY 82071
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