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University Catalog

Department of Mathematics and Statistics

Mathematics Program

Jason Williford, Department Head
223 Ross Hall
Phone: (307) 766-4221, FAX: (307) 766-6838
Web site:
http://www.uwyo.edu/mathstats/

Professors

MYRON B. ALLEN III, A.B. Dartmouth College 1976; M.A. Princeton University 1978; Ph.D. 1983; Professor of Mathematics 1992, 1983.
HAKIMA BESSAIH, M.S. University of Algiers 1992; Ph.D. Scuola Normale Superiore of Pisa 1999; Professor of Mathematics 2015, 2004.
CRAIG C. DOUGLAS, B.A. University of Chicago 1977; M.S. Yale University 1978; M.Phil. 1981; Ph.D. 1982; SER Professor of Mathematics 2008.
VICTOR GINTING, B.S. Institut Teknologi Bandung Indonesia 1995; M.S. Texas A&M University 1998; Ph.D. 2004; Professor of Mathematics 2017, 2007.
STEFAN HEINZ, B.S. Humboldt University 1985; M.S. 1986; Ph.D. Heinrich-Hertz Institute 1990; Professor of Mathematics 2013, 2004.
FARHAD JAFARI,
B.S. University of Wisconsin-Madison 1978; M.S. 1980; Ph.D. 1983; M.A. 1986; Ph.D. 1989; Professor of Mathematics 1999, 1991.
LONG LEE, B.S. National Taiwan University, Taipei 1988; M.A. University of Maryland 1998; Ph.D. University of Washington 2002; Professor of Mathematics 2018, 2005.
G. ERIC MOORHOUSE, B.S. University of Toronto 1980; M.S. 1984; Ph.D. 1987; Professor of Mathematics 2011, 1989.
BRYAN L. SHADER, B.S. University of Wyoming 1984; M.S. University of Wisconsin-Madison 1987; Ph.D. 1990; Professor of Mathematics 2000, 1990.

Associate Professors

MICHELLE T. CHAMBERLIN, B.S. Colorado State University 1997; M.S. 1999; Ph.D. Purdue University 2002; Associate Professor of Mathematics 2012, 2007.
FREDERICO da CUNHA FURTADO, B.S. Federal University of Minas Gerais 1979; M.S. Federal University of Rio de Janeiro 1984; Ph.D. Courant Institute 1989; Associate Professor of Mathematics 2002, 1997.
RONGSONG LIU, B.A. Henan Normal University 1999; M.A. Fudan University 2002; Ph.D. York University 2006; Associate Professor of Mathematics and Program in Ecology 2015, 2009.
ZHUANG NIU, B.S. Wuhan University 1998; M.S. 2001; Ph.D. University of Toronto 2005; Associate Professor of Mathematics 2015, 2012.
TYRRELL McALLISTER, B.S. University of California, Davis 2001; Ph.D. 2006; Associate Professor of Mathematics 2015, 2009.
DAN STANESCU, B.Eng. Polytechnic Institute, Romania 1986; M.Eng. McGill University,  1994; Ph.D. Concordia University 1999; Associate Professor of Mathematics 2008, 2003.
JASON WILLIFORD, B.A. University of Pennsylvania 1998; Ph.D. University of Delaware 2004; Associate Professor Mathematics 2014, 2009.
MAN-CHUNG YEUNG, B.S. Jinan University, China 1986; M.Ph. University of Hong Kong 1990; Ph.D. University of California-Los Angeles 1997; Associate Professor of Mathematics 2005, 2001.

Assistant Professor

PING ZHONG, B.S. Huanzhong University 2005; M.S. Peking University 2008; Ph.D. Indiana University 2014; Assistant Professor of Mathematics 2018.

Senior Lecturers

DAVID ANTON, B.S. North Dakota State University 2001; M.S. University of Wyoming 2007; Senior Lecturer in Mathematics 2017, 2005.
WILLIAM WEBER, B.S. Colorado State University 1979; B.S. University of Wyoming 1988; M.S. 1992; Senior Lecturer in Mathematics 2012, 2001.

Assistant Lecturers

NATHAN CLEMENTS, B.S. Brigham Young University-Idaho 2007; M.S. Idaho State University 2009; D.A. 2012; Assistant Lecturer in Mathematics 2012.
ERIC QUADE, B.S. University of Wyoming 2005; Ph.D. 2012; Assistant Lecturer in Mathematics 2016.

 

Adjunct Professors

Saman Aryana, Li Deng, John Hitchcock, Robert Kansky, David Meyer, Gerald Schuster.

Professors Emeriti

Charles Angevine, Leonard Asimow, Robert Buschman, Benito M. Chen-Carpentier, George C. Gastl, John H. George, Sylvia A. Hobart, Syed Husain, Peter Polyakov, A. Duane Porter, Ben G. Roth, John Rowland, Chanyoung Lee Shader, Raymond Smithson, John Spitler.

"For the things of this world cannot be made known without a knowledge of mathematics.''--Roger Bacon

Virtually every student at UW will take one or more math courses to fulfill graduation requirements. The intent is to illustrate the esthetics inherent in mathematics, and to provide students with the quantitative skills needed for today's careers.

Mathematics majors receive a broad and deep view of the mathematical sciences. They develop their mathematical thinking and communications skills in algebra, analysis, and applied math. They learn a variety of technological tools necessary for jobs in education, business, government, and industry. In addition to our math classes, the department offers a variety of opportunities to enrich the undergraduate experience. Students can participate in weekly seminars, summer research projects, Putnam Team competitions, and the math club.

Mathematics Placement

All UW math courses have prerequisites which are detailed in the course listings below. These are to assure that each student has the best possible opportunity for success in the course. In accordance with this, all students registering for a math course will have their records checked in order to determine whether the prerequisite is satisfied.

A computerized prerequisite check is run prior to the start of every semester. Students who pre-registered for a math course but have not satisfied the prerequisites at the time of the check will be automatically dropped from the course.

Prerequisites for courses numbered 2200 or lower (except 1105 and 2120), and 2350 (Business Calculus), may be satisfied in one of four ways:

  1. Obtain a grade of C or better in a prerequisite course. Note that non-credit courses from out-of-state colleges are not accepted as prerequisites.
  2. Pass the Mathematics Placement Exam (MPE) at the stated level within one year of the start of the course.
  3. Obtain a sufficiently high score on one of the following standardized exams within three years of the start of the course: ACT math score or SAT quantitative score.
  4. Obtain a sufficiently high score on one of the following standardized exams: AP Calculus, CLEP, or IB.

More information on mathematics placement may be obtained from 766-4221, or at www.uwyo.edu/mathstats/math-placement/.

Duplication of Courses (MATH 1400, 1405, 1450)

To avoid loss of credit because of duplication of course content, please note the following: (a) students with credit for both MATH 1400 and MATH 1405 will not receive new credit by taking 1450; (b) students with credit for one of MATH 1400 or MATH 1405 will receive only 2 additional credits by taking MATH 1450; (c) students with credit for MATH 1450 will receive only 1 additional credit by taking both MATH 1400 and MATH 1405. Note that the GPA calculation for these situations is unusual, and students should ask the Registrar’s Office for details.

Note that MATH 1450 counts as one attempt at each of MATH 1400 and 1405 for the purposes of repeating classes.

Undergraduate Major

The department offers both a B.S. and B.A. degree in Mathematics. A degree in mathematics should prepare students to enter either graduate studies or the workforce with a skill set that could only come from an intense study of both quantitative reasoning and rigorous proof. This can be accomplished by focusing on the following goals for our undergraduate major:

  1. Develop mathematical thinking and communication skills
  2. Develop skills with a variety of technological tools
  3. Provide a broad view of the mathematical sciences
  4. Require study in depth

The required lower division core courses for a mathematics major are Calculus 1, 2, and 3 (MATH 2200,2205,2210), Differential Equations (MATH 2310), Linear Algebra (MATH 2250), and the Math Major Seminar (MATH 2800).

At the upper division, all mathematics majors must take Analysis 1 (MATH 3205), Algebra 1 (MATH 3500) and Introduction to Scientific Computing (MATH 3340). These courses, known as the transition courses, introduce students to the three main areas of mathematics research currently represented in the department.

Every mathematics major must select one two-course sequence (MATH 4200/4205, MATH 4510/4520, or MATH 4340/4440) that builds on the corresponding transition course. This sequence provides the student with an opportunity to study one of these areas in greater depth.

Finally, an additional 12 credits of upper division math courses (3000 and above) are required. It is recommended that these courses be selected to provide a broad view of mathematics.

Two of the math electives may be chosen from a list of approved courses that have significant math content, upon approval by the student’s advisor. More details about such courses are available on the math department’s web site, www.uwyo.edu/mathstats/.

Only grades of C or better will be accepted for the major.

Undergraduate Minor

The minor in mathematics focuses on fundamental aspects of mathematics that are essential for further study in mathematics and are also useful in a variety of other disciplines. Students minoring in mathematics may customize the minor by choosing the appropriate transition course and upper-division electives to match their needs.

The required lower division core courses for a mathematics minor are Calculus 1, 2, and 3 (MATH 2200,2205,2210), Differential Equations (MATH 2310), Linear Algebra (MATH 2250), and the Math Major Seminar (MATH 2800).

At the upper division, all mathematics minors must take ONE of Analysis 1 (MATH 3205), Algebra 1 (MATH 3500) or Introduction to Scientific Computing (MATH 3340), as well as 6 additional credits of upper division math courses (3000 and above).

Two of the math electives may be chosen from a list of approved courses that have significant math content, upon approval by the student’s advisor. More details about such courses are available on the math department’s web site, www.uwyo.edu/mathstats/.

Only grades of C or better will be accepted for the minor.

Undergraduate Interdisciplinary Computational Science Minor

In recognition of the importance of modeling and simulation in an increasing number of applications, the Undergraduate Interdisciplinary Computational Science Minor is intended to help prepare science, math, and engineering students for leading roles in their professions.

The Undergraduate Minor in Computational Science is based on the following requirements:

  1. The student must earn 15 credit hours in specified courses.
  2. Within the 15 credits, the student must earn 9 credits at the upper-division level (3000 or above).
  3. Within the 15 credits, the student must earn 6 credits outside of her/his major.
  4. Within the 15 credits, the student must earn at least 6 credits in core courses.
  5. Only grades of C or better will be accepted for the minor.

The 15 hours of coursework are divided between core and elective courses as listed below.

Core Courses           

  • Numerical Analysis (Math 4340/COSC 4340)
  • High-Performance Computing (Offered as a topics course.)
  • Scientific Computing (MATH 3340/COSC 3340).
  • Statistical Computing and Modeling (STAT 4460).

 Elective Courses

  • Computational Biology (BOT 4550/5550)
  • Algorithms and Data Structures (COSC 3020)
  • Mathematical and Computational Methods in Physics (PHYS 4840)
  • Molecular Modeling (CHEM 4560/5560)
  • C with Numerical Methods for Engineers (ES 3070)
  • Mathematical Modeling (MATH 4300)
  • Introduction to Finite Element Methods (ME 4040)
  • Principles of Database Systems (COSC 4820)

Graduate Study

The Mathematics Program offers programs leading to the degrees of master of arts, master of science, master of arts in teaching, master of science in teaching, and the doctor of philosophy.

The requirements for these degrees reflect our belief that mathematicians should have a broad foundation in core areas of algebra, analysis, and applied mathematics, as well as the experience of a more intensive investigation of a specialized area. We provide this within a flexible structure that recognizes the individual interests and varied backgrounds of our students.

Program Specific Admission Requirements

To be competitive for admission, applicants must have strong backgrounds in mathematics. Generally, this means a bachelor's degree in mathematics or a closely related discipline. All applicants should have substantial coursework beyond the calculus sequence; courses in differential equations, linear algebra, and, in particular, courses in abstract algebra and analysis are highly recommended. A solid performance on the GRE Subject Test in Mathematics can demonstrate the applicant's mastery of these subjects. The GRE Subject Test in Mathematics is therefore recommended but not required.

The GRE General Test is required, with a minimum Quantitative Reasoning score of 157 and Verbal score of 143. International applicants need a composite TOEFL score of 76 or an IELTS score of 6.5.

ETS only reports TOEFL scores taken within two years of the date of request.

Requirements for Admission for M.A.T. or M.S.T.

Applicants are required to have:

  • A valid teaching endorsement in any state or educational requirements satisfied for secondary teaching;
  • courses equivalent to MATH 3205, 3500, 4000, and 4600;
  • a course in computer programming.

Students who enter the program with a deficiency in the courses listed above must take them at UW, but these courses may not be counted toward the course requirements of the M.S.T./M.A.T. program.

Graduate Interdisciplinary Computational Science Minor

In recognition of the importance of modeling and simulation in an increasing number of applications, the Graduate Interdisciplinary Computational Science Minor is intended to help prepare science, math, and engineering students for leading roles in their professions.

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.
  • For all students, the 15 hours of coursework will be divided into 9 credit hours of core courses and 6 credit hours of electives.

Core Courses

  • 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.

Electives

  • 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, 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.

Graduate Assistantships

The mathematics program employs approximately 25 graduate assistants each year. Assistantships include a full tuition and fee waiver, a monthly living stipend, and health insurance. Ph.D. students normally receive a higher stipend than master’s students.

Teaching assistants teach or assist with the teaching of an undergraduate course each semester.

Students may also compete for research assistantships, provided that their interests align with an externally funded research project.

Summer support is not guaranteed but is usually available through teaching and research opportunities.

Renewal of funding and continuation in the mathematics graduate program is dependent upon the student’s adequate progress towards graduation and satisfactory completion of assistantship duties.

Program-Specific Degree Requirements

Master's Programs: M.A. and M.S. Plan A and Plan B

The math department maintains 4 tracks by which students may obtain a Master of Arts (M.A.) or Master of Science (M.S.) degree in mathematics.

The following requirements are common to all four tracks:

  • The student must maintain a 3.0 cumulative GPA.
  • The student must complete 30 hours of formal mathematics coursework at the 5000 level.
  • As part of the 30 hours of formal 5000-level mathematics courses, the student must complete the following courses with a grade of B or better:
    • o MATH 5200: Real Variables I,
    • o MATH 5230: Complex Variables I,
    • o MATH 5310: Computational Methods I
    • o MATH 5400: Methods of Applied Mathematics I,
    • o MATH 5500: Advanced Linear Algebra, and
    • o MATH 5550: Abstract Algebra I.
  • The student must pass the department’s Foundation Exam. This exam covers material from advanced vector calculus and linear algebra at the upper-division undergraduate level and is offered before the beginning of each semester.
  • Take one hour of the seminar 4970: Professional Development in Mathematics and one hour of the seminar 4970: Professional Development in Teaching.

In addition to the common elements above, students must select and complete one of the capstone experiences described in the tracks below.

Track #1: Master's Thesis (Plan A)

Within the 30 hours of 5000-level courses, the Plan A student must complete 4 hours of MATH 5960: Thesis Research. At least 26 hours of 5000-level coursework must be math-content courses (not thesis research).

The student must prepare a master’s thesis (Plan A) and give an oral defense of the thesis. In the mathematics program, a Plan A thesis reports on the result(s) of independent and original research completed by the student under the direction of a faculty member. The thesis should describe the research and its results and be written to the standards of the appropriate area of mathematics.

Track #2: Master's Paper (Plan B)

The student must prepare a master’s paper (Plan B) and give an oral defense.

To write a Plan B paper, the student must present an expository paper on a designated mathematical subject. Students are guided by their advisor in the subject matter and in the preparation of the paper. A successful paper and defense demonstrates that the student has mastered a substantial mathematical topic that is beyond those covered in formal foundational coursework.

Track #3: Coursework/Project (Plan B)

A second M.A. or M.S. option exists for the Plan B student. In lieu of writing a paper, the student takes a sequence of three 5000-level courses that all address a common mathematical theme. The sequence must be approved by the student’s advisor and the mathematics graduate committee. Two of the courses must be mathematics-department offerings, and the third may be either a mathematics course (including reading/topics courses) or a course from another department in a related field.

  • The student must complete an additional 6 hours of courses at the 5000 level. Thus, Track #3 requires the completion of 36 hours of graduate-level coursework.
  • Within the 36 hours, the student must propose and complete with a grade of B or better an appropriate 3-course sequence
  • The student will write a short paper illustrating how the common mathematical theme of the sequence manifests itself in the content of each course and give a presentation/defense of the paper.

In approving the student’s proposal for this option, the graduate committee and the advisor will consider how the writing and independent study spirit of the Plan B option are fulfilled within the recommended plan.

Track #4: Qualifying Exam (Plan B)

A third M.A. or M.S. option exists for the Plan B student. In lieu of writing a paper or taking additional coursework, the student must take and pass the department’s PhD Qualifying Examination in one of the three areas: Analysis, Algebra, or Applied Mathematics. These examinations focus on the material in the required courses.

  • Pass one of the department’s qualifying exams in:
    • o Analysis (MATH 5200 and MATH 5230)
    • o Algebra (MATH 5500 and MATH 5550)
    • o Applied Mathematics (MATH 5310 and MATH 5400)
  • The oral component of this Track will consist of a defense of the student’s written answers to qualifying exam.

These examinations are given twice a year at the beginning of the fall and spring semesters. This option is intended for students who will continue for a PhD at UW.

Doctoral Program

The student must maintain a 3.0 cumulative GPA.

The student must teach two semesters of college mathematics.

The student must complete a combination of 72 hours of coursework and dissertation research. Within the 72 hours, a maximum of 12 hours can be at the 4000 level, and 42 hours must be formal courses at the 5000 level. The courses must be mathematics courses or courses with significant mathematical content, as approved by the department's graduate committee.

Within the 42 hours of 5000-level courses, the student must:

  • Complete MATH 5200, 5230, 5310, 5400, 5500, and 5550 with a grade of B or better.
  • Take two hours of MATH 5800-02, Seminars and Colloquia.
  • Complete the courses distributed in three areas: algebra, analysis, and applied mathematics. The student must take at least two courses in each of two categories and at least one course from the third category. The department maintains a list of course categories.

In addition, the student must:

  • Pass the foundation exam, the qualifying exam in the student's research area, and the preliminary exam.
  • Write a dissertation containing the student's original mathematical results and present an oral defense of the research.
  • Take one hour of the seminar 4970: Professional Development in Mathematics and one hour of the seminar 4970: Professional Development in Teaching.

Mathematics (MATH) Courses

Statistics Program

Ken Gerow, Program Director
223 Ross Hall
Phone: (307) 766-4229, FAX: (307) 766-6838
Website: http://www.uwyo.edu/mathstats

Professors

RICHARD ANDERSON-SPRECHER, B.A. Carleton College 1974; M.A. University of Minnesota 1976; Ph.D. University of Iowa 1990; Professor of Statistics 2006, 1990.
KENNETH G. GEROW, B.S. University of Guelph, Canada 1981; M.Sc. 1984; Ph.D. Cornell University 1992; Professor of Statistics 2007, 1993.
TIMOTHY J. ROBINSON, B.S. James Madison University 1989; M.S. Virginia Polytechnic Institute and State University 1994; Ph.D. 1997; Professor of Statistics 2012. 

Associate Professor

SHAUN S. WULFF, B.S. Montana State University 1991; M.S. 1994; Ph.D. Oregon State University 1999; Associate Professor of Statistics 2005, 1999.

Assistant Professors

PAVEL CHERNYAVSKIY, Ph.D. University of Nebraska-Lincoln 2018; Assistant Professor of Statistics 2018.
ANNALISA PICCORELLI,
B.A. Miami University of Ohio 2003; M.S. Case Western Reserve University 2007; Ph.D. 2010. Assistant Professor of Statistics 2015.

Academic Professional Lecturer

SCOTT CRAWFORD, B.S. Southern Utah University 2004; M.S. Brigham Young University 2006; Ph.D. Texas A&M University 2012; Academic Professional Lecturer of Statistics 2012.

Assistant Lecturer

MICHELE BIRD, B.A. University of Nevada, Las Vegas 1996; M.A. 2000; Assistant Lecturer of Statistics 2019.

Adjunct Professors

Barber, J., Legg, Manly, L. McDonald, T. McDonald, Nychka, Sain

Emeriti Faculty

Stephen L. Bieber, Burke Grandjean

Statistics

The curriculum in statistics includes a firm foundation in mathematics and computer science, in addition to course work in statistical theory and methodology. Statistics majors are also required to obtain a minor in an area of application. The nature of statistical work is to design and analyze research projects through the application of the principles of mathematics, computer science, and statistics. The student who wishes to make valid inferences from empirical data will find the field of statistics fascinating and rewarding.

The study of statistics as a separate professional field is comparatively recent. The wide demand for graduates with special training in research and development techniques has fostered development of statistical curricula in colleges and universities. A pioneer in this field, the University of Wyoming is one of the few schools in the nation where a coordinated undergraduate training program in statistics is available.

We expect that students graduating with a statistics degree will be able to: 1) recognize the importance of variation and uncertainty in the world, 2) understand how statistics improves decisions when faced with uncertainty, 3) become proficient with a broad range of statistical tools, 4) develop critical thinking skills that enable application of statistics in new and unusual settings, and 5) communicate effectively. With these skills, graduates will be able to work effectively as statistical professionals and, if desired, successfully pursue further training at the master's and doctorate levels.

Graduates with statistical training are employed in a broad spectrum of areas which include the business world, the sciences (social, biological, physical and health), as well as engineering and education. For this reason, an area of application is required of each student.

The statistics program also offers graduate programs leading to a minor in statistics, and to a Master of Science (Plan A, Plan B), and Doctor of Philosophy in statistics.

Undergraduate Major

In addition to university and college requirements, requirements for statistics majors include:

  1. Statistics - at least 30 hours 2010/2050/2070/4220 (3-4 hours); 2110/3050/5050/5060/5070/5080 (3 hours); 4255, 4265, 4025, 4015 (12 hours); Optional from 4045, 4070, 4115, 4155, 4300, 4350, 4360, 4370, 4460, 4880, 5320 (9 hours); Senior thesis 4870 (3 hours)
  2. Mathematics 2200, 2205, 2210, 2250 (15 hours)
  3. Computer science 1010 and 1030 (6 hours)
  4. Electives-chosen so that at least 42 hours are at the 3000/4000/5000 level

Only grades of C or better will be accepted for the major.

Typical Freshman Year for Statistics Majors

Courses Hours
ECON 1010 Principles of Macroeconomics 2
ENGL 1010 College Composition and Rhetoric 3
MATH 2200 Calculus I 3
POLS 1000 American & Wyoming Government 4
Biological, physical, or Earth science 4
Physical Activity and Health requirement 1
Total Hours 18
Courses Hours
ECON 1020 Principles of Microeconomics 3
University Studies 3
MATH 2205 Calculus II 4
STAT 2010 / STAT 2050 / STAT 2070 /
STAT 4220
3-4
Biological, physical, or Earth science 4
Total Hours 17-18

Note: For several entry level courses such as STAT 2010, 2050, 2070,and 4220, a student cannot receive credit for more than one of these courses. The same is true for the second courses 2110, 3050 and 5050, 5060, 5070, 5080.

Statistics Minor

The following courses are required for a statistics minor:

Courses Hours
MATH 1400 College Algebra 3
STAT 2010 / STAT 2050 / STAT 2070 /
STAT 4220
3-4
STAT 3050 College Algebra 3


And 9 additional hours from the following:

Courses Hours
STAT 4015 Regression Analysis 3
STAT 4025 Design / Analysis Exp I 3
STAT 4045 Categorical Data 3
STAT 4070 Casual Models 3
STAT 4115 Time Series Analysis 3
STAT 4155 Fundamentals of Sampling 3
STAT 4255 Math Theory - Probability 3
STAT 4265 Intro to the Theory of Statistics 3
SAT 4350 Survey Construct 3
STAT 4360 Spatial Statistics 3
STAT 4370 Survival Analysis 3
STAT 4300 App Multivariate Analysis 3
STAT 5320 Design / Analysis Exp II 3
Total Hours 18-19

Only grades of C or better will be accepted for the minor.

Graduate Study

The Statistics Program offers graduate programs leading to a minor in statistics, to a master of science in applied statistics (Plan B Option 1), and to a doctor of philosophy in statistics. Students wishing to pursue a master of science in statistics with a thesis option (Plan A), should contact the department directly. The minor is designed to enhance the M.S. or Ph.D. program of any student enrolled in one of the graduate programs at the University of Wyoming. All of these programs emphasize the understanding and application of a broad variety of statistical methods on real projects. Students will be provided with numerous opportunities to perform analyses and communicate findings. The M.S. and Ph.D. programs in statistics are grounded in statistical theory.

Program Specific Admission Requirements

The prerequisite for admission to graduate study is an undergraduate degree from an accredited institution, including work in mathematics through calculus III, Linear Algebra and at least one second-level class in statistical methods.  Prospective students are encouraged to have had Math Analysis and upper level introduction to probability and mathematical statistics. A score of at least 150 on the verbal reasoning section and a score of at least 141 on the quantitative reasoning section is required for the Master’s Degree and the TOEFL exam is required for international students. The minimum score for the TOEFL is 540 (76 Internet-based Test) or for IELTS minimum score is 6.5. Students who do not have prerequisites in mathematics and statistics may make up this deficiency at the beginning of their graduate program; however, such work does not count toward graduation requirements.

Program Specific Degree Requirements

Minor

Twelve hours at the 4000 or 5000 level with the exception of STAT 4220, 5000, and 5185.

Master's Program

Plan B (Option 1)

Master of Science in Applied Statistics

Profile

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.

Coursework

In addition to the general requirements of the university all candidates for the MS (Plan B - Option 1) degree must successfully take and complete:

Required: 15 credit hours

  • STAT 5210 Advanced Regression
  • STAT 5220 Advanced Design
  • STAT 5470 Data Analysis
  • STAT 5380 Bayesian Data Analysis
  • STAT 53XX Computational Methods

Electives: 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. No more than 6 credits can come from STAT 5255, 5265, 5155, and 5025.

  • Total: 30 credit hours

Graduation Requirements: (1) successful completion of coursework and (2) a data analysis project (Plan B paper).

Doctoral Program

Program for a Doctor of Philosophy in Statistics

Profile

The Ph.D. Program in Statistics will give the student a solid background in statistical theory and in statistical methods, in technical reading and writing skills, and in conducting independent research. Most graduates from our doctoral program have been employed as tenure-track faculty at other universities. They also have the necessary background to work as lead researchers in industrial and research organizations.

Coursework

In addition to the general requirements of the Graduate School all candidates for the Ph.D. degree must successfully take and complete:

Prerequisites for the Required Courses

  • STAT 5255 Mathematical Theory of Probability
  • STAT 5265 Introduction to the Theory of Statistics
  • MATH 4200 Analysis 2: Advanced Analysis (or Analysis for Statisticians Topics Course)
  • STAT 5025 Design and Analysis of Experiments
  • STAT 5015 Regression Analysis

Required: 45 credit hours

  • STAT 5210 Statistical Methods 1
  • STAT 5220 Statistical Methods 2
  • STAT 5230 Statistical Methods 3
  • STAT 5380 Bayesian Data Analysis
  • STAT 5470 Data Analysis
  • STAT 5510 Distribution Theory
  • STAT 5520 Inference I
  • STAT 5530 Inference II
  • STAT 5540 Large Sample Theory
  • STAT 5620 Theory of Linear Models
  • STAT 5660 Computational Statistics
  • STAT 5810 Seminar (3 hours; 3 presentations)

Methodological Topics - at least 2 of the following which are required when offered

  • STAT 5615 Advanced Time Series
  • STAT 5630 Multivariate Analysis
  • STAT 5650 Advanced Sampling
  • STAT 5670 Mixed Models

The remaining hours of doctoral work are typically filled in part by other graduate level statistics/mathematics courses/Dissertation Research. Students who enter the program lacking a course in Mathematical Analysis or the equivalent should take MATH 4200 in their first year. MATH 4200 may be counted as part of the doctoral degree program.

Graduation Requirements

  1. At the end of the first year in the doctoral program each student must take a comprehensive qualifying examination. If needed a student may retake this examination. A passing grade on this examination is mandatory for continuance in the doctoral program.
  2. After completing this examination a student with the assistance of her/his advisor will be expected to form a doctoral committee. This committee will determine which courses are to be included in the Graduate Level Statistics electives, and will set the conditions of and conduct the preliminary examination. A passing grade on this examination is mandatory for official admittance into the doctoral program by the graduate school.
  3. The student must write and successfully defend a dissertation research project. The specific conditions of the dissertation project are to be determined by each student's doctoral committee, but should consist of original research suitable for publication.

Statistics (STAT) Courses

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