DEGREE OPTIONS
The Ph.D. program of the Mathematics Department at the University of Utah has been awarding Ph.D. degrees since 1954, and more than 230 Ph.D. degrees in mathematics have been given since then. An average of about eight Ph.D. degrees have been awarded annually in recent years.
The Department 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.
Degree Requirements
The Graduate School at the University of Utah has a list of requirements for Ph.D. candidates which can be found in the University of Utah Graduate Handbook. 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.
 a supervisory committee
 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
Course requirements for the program 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 Math 7970, 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 firstyear graduate level. Entering students are recommended to take the 6000level 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.
Filling out the Application
For instructions on filling in the Graduate Mathematics Application Form: Click 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 Graduate School at the University of Utah has a list of requirements for M.S. and M.A. candidates; see the University of Utah General Catalog. 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.
 at least 30 credit hours numbered 5000 or above
 two written qualifying examinations, or an oral comprehensive exam with additional requirements (see below)
Coursework
For the Master's degree in pure mathematics:
 Math 5210 (real analysis) and 5310–5320 (algebra)
 one 6000level sequence consisting of two onesemester courses
 four additional onesemester courses at the 5000 or 6000 level
For the Master's degree in applied mathematics:
 either Math 5210 (real analysis) and one 6000level course, or two 6000level courses
 one 6000level sequence consisting of two onesemester courses
 five additional onesemester courses at the 5000 or 6000 level
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 6000level 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 Master's Thesis, Math 6960 Curriculum Project, or a minimum of nine credits of additional courses at 6000 or 7000 levels.
Filling out the Application
For instructions on filling in the Graduate Mathematics Application Form: Click Here
Questions?: Paula Tooman, Graduate Program Coordinator tooman@math.utah.edu OR Elena Cherkaev, Director of Graduate Studies elena@math.utah.edu
The Master of Statistics (MStat) 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.
Prerequisites
 Either a Bachelor's Degree in Mathematics, or an equivalent
 Math 3070  3080, or equivalent
Coursework

Math 5010, 5080, and 5090
 Math 6010, 6020 sequence
 Math 6070
 Math 6960 (Master's project), 3 hours
 electives approved by the supervisory committee, 12 credits
 final project approved by supervisory committee
Filling out the Application
For instructions on filling in the Graduate Mathematics Application Form: Click Here
Questions?: Paula Tooman, Graduate Program Coordinator tooman@math.utah.edu OR Elena Cherkaev, Director of Graduate Studies elena@math.utah.edu
TRACK 1
(Formerly known as MfA Program)
Unavailable at this time.
TRACK 2
(Formerly known as MSSST Program)
APPLICATIONS ARE CLOSED FOR 20172019 COHORT. APPLICATION FOR 20192021 COHORT WILL BE OPEN IN 2019.
TRACK 2: 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.
PREREQUISITES:
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 (pre2012) 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.
FILLING OUT THE APPLICATION:
Please follow the instructions below while filling out the application.
APPLICATIONS ARE CLOSED FOR 20172019 COHORT. APPLICATION FOR 20192021 COHORT WILL BE OPEN IN 2019.
TRACK 2: 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 te
 Create an account to start the application for the Master of Science in Mathematics Teaching program.
 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."
 The next section on this page is Emphasis Area. Select “Mathematics.”
 The last section on this page is Application Term and Year. Select “Summer 2017.”
 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 (post2012) or 0061 (pre2012), and a Statement of Purpose.
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 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 disciplinespecific 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 midprogram 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 7June 23)
Session II: Math 5270  Transformational Geometry (June 26July 14)
Session III: Math 5280  Statistics and Probability (July 17August 4)
MidProgram Exam (before, during, or immediately following the Semester):
Prepared written response to questions.
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 5150  Foundations of Mathematics II
Math 5155  Curriculum and Instruction Practicum
Alternative Route to Licensure (ARL) students also take education courses required for licensure
SPRING Semester (1 night a week)::
Math 5160  Foundations of Mathematics for Teachers III (High School)
Math 5165  Curriculum and Instruction Practicum (Middle and High School)
Alternative Route to Licensure (ARL) students also take education courses required for licensure
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
FALL Semester (1 night a week):
Math 5740  Mathematical Modeling
Math 6960  MS project preparation course I
Alternative Route to Licensure (ARL) students also complete a program of mentored student teaching
SPRING Semester (1 night a week):
Math 5700  Capstone Course
Math 6960  MS Project Preparation Course II
Alternative Route to Licensure (ARL) students also complete a program of mentored student teaching
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
 Ph.D. in Mathematics
 M.A. and M.S. Mathematics Degrees
 Master of Statistics
Paula Tooman
 Ph.D. in Mathematics
 M.A. and M.S. Mathematics Degrees
 Master of Statistics
Lajos Horvath
 Master of Statistics
Maggie Cummings
 M.S. in Mathematics Teaching