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GRADUATE PROGRAMS


 Welcome to the webpage for the graduate program of the Department of Mathematics at the University of Utah. We offer a Ph.D. and Master's degrees in many different areas of mathematics. The faculty at the University of Utah are active and involved with the students and have many diverse research projects. Our former graduate students have gone on to mathematical careers both in academia and in industry. We invite you to explore our graduate program information, our math department, university, and living in Utah.

See the links below for more information about our programs. 

DEGREE OPTIONS

DEGREE REQUIREMENTS


 The Ph.D. Program in the Department of Mathematics enjoys an excellent reputation in a diversified set of subjects, such as algebraic geometry, commutative algebra, differential geometry, geometric topology, group and representation theory, and number theory in pure areas, and materials and fluids, mathematical biology, mathematical finance, numerical analysis, partial differential equations, probability, and statistics in applied areas.

The following is a list of departmental requirements, in addition to the requirements of the Graduate School, for candidates seeking a Ph.D. degree in mathematics.

  • at least 42 credit hours numbered 6000 or above
  • three written qualifying examinations
  • an oral qualifying examination
  • two semesters of teaching
  • the final oral examination

More details can be found in the Graduate Bulletin.

Coursework

The course requirements for the Ph.D. degree consist of at least seven sequences (each sequence contains two consecutive courses on a subject) numbered 6000 or above, or their equivalent, approved by the student’s supervisory committee. They should include at least 14 credit hours of courses numbered 7800-7970 (topics courses, seminars, and thesis research). Exceptions must be approved on an individual basis by the Graduate Committee upon the recommendation by the student’s supervisory committee.

Written Qualifying Examinations

The written qualifying examinations are given twice a year, in January and August, just before the start of the Spring and Fall semesters. A Ph.D. candidate is required to pass three written qualifying examinations chosen from the following set of subjects (corresponding course numbers are included in parenthesis):

  • algebra (6310-6320)
  • applied mathematics (6710-6720)
  • differential equations (6410-6420)
  • numerical analysis (6610-6620)
  • probability (6040)
  • real and complex analysis (6210-6220)
  • statistics (6070)
  • topology and geometry (6510-6520)

Each exam lasts three hours and is written at a first-year graduate level. Entering students are recommended to take the 6000-level course corresponding to a particular exam and use the course materials to prepare for the exams. Students with particularly strong backgrounds can choose to take the exams without taking the courses. Copies of past exams from the last ten years can be obtained by contacting the Graduate Coordinator.

Oral Qualifying Examination

This exam is conducted by the student’s supervisory committee and it can take one of the following two formats: a general exam to measure the student’s overall mathematical maturity and breadth, or a presentation of the proposed dissertation project. The exam also evaluates the student’s skill at chalkboard exposition and verbal exchange.

Teaching Requirement

Each Ph.D. candidate is required to teach a minimum of two courses or equivalent tutorials, or supervise laboratory sessions.

Final Oral Examination

This examination consists of a public thesis defense that summarizes the candidate's thesis work.

ADMISSION REQUIREMENTS


Admission to graduate status in the Ph.D. program requires that students hold a Bachelor's degree in Mathematics, or its equivalent, with a grade point average of at least 3.0 and that they show promise of success in graduate work. The prerequisites for the various programs vary. Qualified applicants typically possess a Bachelor's or Master's degree in mathematics. Students should be prepared to take the courses that directly lead to qualifying exams.

GRE Exams

Applicants to the Ph.D. program are not required to submit subject or general GRE scores. However, we strongly encourage all applicants to submit this test, and applications without such scores are frequently at a substantial disadvantage. Students in pure mathematics are especially encouraged to submit their subject GRE scores. If you have questions about whether to submit your scores, contact Jingyi Zhu, Chair of the Graduate Recruitment Committee or Elena Cherkaev, Director of Graduate Studies.

English Tests

All applicants must meet the University of Utah's minimum requirements for English proficiency, click here

Additionally, successful applicants for Teaching Assistantships must be proficient in their spoken and listening English skills. Those skills are usually reflected in the submitted TOEFL scores (or equivalent). In most cases, for those subsections of the TOEFL, we look for scores of at least about 20, and optimally, of at least about 23.

FILLING OUT THE APPLICATION


For instructions on filling in the Graduate Mathematics Application Form: Click Here

APPLY HERE

 

Questions?: Paula Tooman, Graduate Program Coordinator- tooman@math.utah.edu OR Elena Cherkaev, Director of Graduate Studies- elena@math.utah.edu

 DEGREE REQUIREMENTS


The M.A. and M.S. degree requirements are identical except that the M.A. degree requires an additional language proficiency. The following is a list of departmental requirements for candidates seeking a M.S. or M.A. degree in mathematics.

Minimum Degree Hours: 30

Coursework:

For the Master's degree in pure mathematics:

For the Master's degree in applied mathematics:

Written Qualifying Examinations:

The written qualifying examinations are given twice a year, in January and August, just before the spring or the fall semester starts. A candidate can fulfill the graduation requirements by passing two written qualifying examinations, chosen from the following set of subjects (corresponding course numbers included in parentheses):

  • algebra (6310–6320)
  • applied mathematics (6710–6720)
  • differential equations (6410–6420)
  • geometry and topology (6510–6520)
  • numerical analysis (6610–6620)
  • probability (6040)
  • real and complex analysis (6210–6220)
  • statistics (6070)

Each exam lasts three hours and is written at a first year graduate level. Entering students are required to take the 6000-level course corresponding to a particular exam and use the course materials to prepare for the exams. Copies of past exams are posted (as PDF files) on the Graduate Program homepage (see Qualifying Examinations).

Oral Comprehensive Examination and Additional Requirements:

An oral comprehensive exam can be chosen as an option to fulfill the Master’s degree requirements. This exam is conducted by the student’s supervisory committee. In case a candidate chooses the option of oral comprehensive exam, the student must complete nine (9) additional credits of a Masters Project, which can be one of the following:

MATH 6970 - Thesis Research: Master's, MATH 6970 - Thesis Research: Master's, or a minimum of nine credits of additional courses at 6000 or 7000 levels.

ADMISSION REQUIREMENTS


Admission to graduate status in the Master's program requires that students hold a Bachelor's degree in Mathematics, or its equivalent, with a grade point average of at least 3.0 and that they show promise of success in graduate work. The prerequisites for the various programs vary. Master of Arts / Master of Science degrees, qualified applicants typically possess a Bachelor's or Master's degree in mathematics. Students should be prepared to take the courses that directly lead to qualifying exams.

GRE Exams

Applicants to the Master's program are not required to submit subject or general GRE score. However, we strongly encourage all applicants to submit this test, and applications without such scores are frequently at a substantial disadvantage. Students in pure mathematics are especially encouraged to submit their subject GRE scores. If you have questions about whether to submit your scores, contact Jingyi Zhu, Chair of the Graduate Recruitment Committee or Elena Cherkaev, Director of Graduate Studies.

English Tests

All applicants must meet the University of Utah's minimum requirements for English proficiency, click here

Additionally, successful applicants for Teaching Assistantships must be proficient in their spoken and listening English skills. Those skills are usually reflected in the submitted TOEFL scores (or equivalent). In most cases, for those subsections of the TOEFL, we look for scores of at least about 20, and optimally, of at least about 23.

FILLING OUT THE APPLICATION


For instructions on filling in the Graduate Mathematics Application Form: Click Here

APPLY HERE

 

Questions?: Paula Tooman, Graduate Program Coordinator- tooman@math.utah.edu OR Elena Cherkaev, Director of Graduate Studies- elena@math.utah.edu

DEGREE REQUIREMENTS


 The Master of Statistics (M-Stat) program is administered by the University Statistics Committee and applications should be made through the Graduate Admissions Office. Upon admission by the University Statistics Committee, the student is also admitted to the Mathematics Department Master's program. The degree of Master of Statistics (Mathematics) is awarded by the Mathematics Department.

Coursework

ADMISSION REQUIRMENTS


  • Bachelor’s Degree in Mathematics, or equivalent
  • MATH 3070, 3080, or equivalent

FILLING OUT THE APPLICATION


For instructions on filling in the Graduate Mathematics Application Form: Click Here

APPLY HERE

 

Questions?: Paula Tooman, Graduate Program Coordinator- tooman@math.utah.edu OR Elena Cherkaev, Director of Graduate Studies- elena@math.utah.edu

2019 COHORT MASTERS OF SCIENCE MATHEMATICS TEACHING (MSMT)
(Formerly known as MSSST Program)

APPLICATIONS FOR 2019-2021 ARE NOW OPEN!
DUE FEBRUARY 1, 2019

 

The University of Utah Department of Mathematics offers a general Masters of Science degree, as well as some specialized master’s degrees. One such degree is the Master of Science in Mathematics with emphasis in teaching. The applications should be made through the Graduate School. Upon admission by the Mathematics Education Committee, the student is also admitted to the Mathematics Department Master’s program. The degree of Master of Mathematics (Teaching) is awarded by the Mathematics Department. We are pleased to be able to offer this program to practicing Utah teachers for $150 per credit hour. 

MSSST  

For applicants who are licensed secondary mathematics teachers. The Department of Mathematics of the University of Utah offers a M.S. Mathematics Teaching degree. Admission to this Master’s degree helps practicing teachers acquire a deeper and broader science background. Applicants must be accepted by the Graduate School and Math Ed. Committee. Course work for this degree is designed to extend teachers’ mathematical knowledge for teaching at the secondary level.

ADMISSION REQUIREMENTS


1. Licensed teachers with a level 4 endorsement (level 3 teachers will be considered, but may need additional course work). 

2. Completion of the Praxis 5161 Mathematics (post 2012) or Praxis 0061 (pre-2012) Math Content Knowledge Exam. A score of at least 165 (5161) or 143 (0061) is required.

3. At least two years of teaching experience as of the application deadline. Applicants must be recommended by a professional educator who can judge their performance.

4. Satisfy University requirements for Graduate School admissions.

The Mathematics Education Committee may advise candidates to take additional courses to ensure readiness for the required course work in the program. 

PLANNED SCHEDULE FOR 2019 COHORT


The M.S. in Mathematics Teaching degree requires a total of 39 credit hours: 30 are core courses, the remaining 9 credits are to be electives with at least 6 from the discipline-specific mathematics courses at 5000 level or above level (any exceptions must be approved by the Graduate Program Coordinator). In addition, candidates must take and pass a mid-program exam and submit and defend a final program project.

FIRST ACADEMIC YEAR

(Tentative Schedule)

 

SUMMER Semester (June 5 - August 2):

Session I: Math 5140 - Foundations of Mathematics for Teachers I (June 5 - June 21)

Session II: Math 5270 - Transformational Geometry (June 24 - July 12)

Session III: Math 5280 - Statistics and Probability (July 15 - August 2)

Mid-Program Exam (before, during, or immediately following the Semester):

--Prepared written response to questions.

FALL Semester (1 night a week):

Math 5150 - Foundations of Mathematics II

Math 5155 - Curriculum and Instruction Practicum

SPRING Semester (1 night a week)::

Math 5160 - Foundations of Mathematics for Teachers III (High School)

 

SECOND ACADEMIC YEAR

 

SUMMER Semester (1 night a week):

Session I: Math 6100 - Concepts of Calculus

Session II: Math 6090 - Topics in the History of Mathematics

Session III: Math 6080 - Topics in Contemporary Mathematics

Final Program Exam:

--Prepared written response to questions.

--Oral examination

--Presentation of project plan by student. The plan must be approved by the student’s committee before the project research begins. The student’s committee is composed of at least two members of the Mathematics Department.

FALL Semester (1 night a week):

Math 5740 - Mathematical Modeling

Math 6960 - MS project preparation course I

SPRING Semester (1 night a week):

Math 5700 - Capstone Course

Math 6960 - MS Project Preparation Course II

Note: MATH 6960 -Master's Project courses are 3 credits each. Before graduating you must complete 6 credits total. Students conduct research and report to their advisor on their findings in a Master's project.

Final Examination: Successful performance on a final defense of their Master's Degree project that covers work presented for the Master's degree and defense of the project.

FILLING OUT THE APPLICATION - DUE FEBRUARY 1, 2019


 Please follow the instructions below while filling out the application.  

APPLY HERE

  1. Create an account to start the application for the Master of Science in Mathematics Teaching program.
  2. In the Program Information section, the first heading is Program of Interest. Select "Salt Lake City Campus" under "Campus." Also, under the same section select "Science Program for Secondary School Teacher MS" under "Intended graduate program and degree."
  3. The next section on this page is Emphasis Area. Select “Mathematics.”
  4. The last section on this page is Application Term and Year. Select “Summer 2017.”
  5. Complete all other fields on the remaining pages of the application. Upload transcripts, an official copy of your ETS notification of score on Praxis 5161 (post-2012) or 0061 (pre-2012), and a Statement of Purpose. 
  6. Once you have submitted your application email Gail Howick (howick@math.utah.edu) to confirm your application has been completed.

  

2017 COHORT MASTERS OF SCIENCE MATHEMATICS TEACHING (MSMT)
(Formerly known as MSSST Program)

 PLANNED SCHEDULE FOR 2017 COHORT


The M.S. in Mathematics Teaching degree requires a total of 39 credit hours: 30 are core courses, the remaining 9 credits are to be electives with at least 6 from the discipline-specific mathematics courses at 5000 level or above level (any exceptions must be approved by the Graduate Program Coordinator). In addition, candidates must take and pass a mid-program exam and submit and defend a final program project.

 

 FIRST ACADEMIC YEAR

SUMMER Semester (June 7 - August 4):

Session I: Math 5140 - Foundations of Mathematics for Teachers I (June 7-June 23)

Session II: Math 5270 - Transformational Geometry (June 26-July 14)

Session III: Math 5280 - Statistics and Probability (July 17-August 4)

Mid-Program Exam (before, during, or immediately following the Semester):

--Prepared written response to questions.

FALL Semester (1 night a week):

Math 5150 - Foundations of Mathematics II

Math 5155 - Curriculum and Instruction Practicum

SPRING Semester (1 night a week)::

Math 5160 - Foundations of Mathematics for Teachers III (High School)

 

SECOND ACADEMIC YEAR

SUMMER Semester (1 night a week):

Session I: Math 6100 - Concepts of Calculus

Session II: Math 6090 - Topics in the History of Mathematics

Session III: Math 6080 - Topics in Contemporary Mathematics

Final Program Exam:

--Prepared written response to questions.

--Oral examination

--Presentation of project plan by student. The plan must be approved by the student’s committee before the project research begins. The student’s committee is composed of at least two members of the Mathematics Department.

FALL Semester (1 night a week):

Math 5740 - Mathematical Modeling

Math 6960 - MS project preparation course I

SPRING Semester (1 night a week):

Math 5700 - Capstone Course

Math 6960 - MS Project Preparation Course II

Note: MATH 6960 -Master's Project courses are 3 credits each. Before graduating you must complete 6 credits total. Students conduct research and report to their advisor on their findings in a Master's project.

Final Examination: Successful performance on a final defense of their Master's Degree project that covers work presented for the Master's degree and defense of the project.

 

Questions?: Maggie Cummings- cummings@math.utah.edu.

QUESTIONS?

Elena Cherkaev

Dir. of Graduate Studies
LCB 206 | (801) 581-7315
 
Can Answer Questions About:
  • Ph.D. in Mathematics
  • M.A. and M.S. Mathematics Degrees
  • Master of Statistics

Paula Tooman

Graduate Program Coord.
JWB 234 | (801) 581-6841
 
Can Answer Questions About:
  • Ph.D. in Mathematics
  • M.A. and M.S. Mathematics Degrees
  • Master of Statistics

Lajos Horvath

Professor
 JWB 222 | (801) 581-8159
 
Can Answer Questions About:
  • Master of Statistics

 

 

Maggie Cummings

Instructor (Lecturer)
JWB 125 | (801) 585-5793
 
Can Answer Questions About:
  • M.S. in Mathematics Teaching

 

 

Last Updated: 9/18/18