Graduate Programs

The Department of Mathematics offers a selective and focused program of study leading to the Doctor of Philosophy in Computational Science with concentration in

  • Computational and Applied Mathematics

The doctoral concentration is integrated with the SimCenter, a research center that serves as a hub in modeling, simulation, and high-performance computing.  The department also has the Master of Science in Mathematics with concentrations in

  • Applied Mathematics
  • Applied Statistics
  • Pre-Professional Mathematics
  • Education

Each Master's student works closely with a faculty advisor in writing a research paper or thesis in an area of interest to the student.  At the doctoral level, a student may specialize in any one of a number of fields (such as differential equations, mathematical biology, numerical analysis, graph theory, and statistics) and conduct interdisciplinary research.  In addition, the department offers the Post-Baccalaureate Certificate in

  • Computational and Applied Statistics

for working professionals who wish to improve their career opportunities by expanding their knowledge in statistics and data analysis.  All of the coursework in this certificate program is university accredited, recorded in a permanent transcript, and thus eligible for transfer credit to the Master of Science in Mathematics degree program.

 

Assistantships and Financial Assistance

Full-time graduate students are eligible for financial assistance, primarily in the form of graduate assistantships, which can be extended throughout the summer.  Graduate assistantships include a generous stipend plus health insurance and complete tuition remission.  Information on other forms of financial aid, such as student loans or work-study programs, is available from the Office of Financial Aid and Scholarships.

 

Application and Deadlines

Interested students are encouraged to visit the Graduate School website for an online application, as well as the department website for additional application requirements.  The following links lead to the most current information concerning our mathematics programs in the 2017-2018 Graduate Catalog:

A student's Program of Study for the doctoral concentration will depend on his or her academic background and undergraduate major as well as on the intended area of research.  Typically, for a student entering the doctoral concentration with a Bachelor of Science in Mathematics with the goal of completing the Doctor of Philosophy in Computational Science, a curriculum may include courses so that a Master of Science in Mathematics may be earned along the way.  Alternatively, a student entering the doctoral concentration with a Master of Science in Mathematics may consider Sample Curriculum I below.  Likewise, a student with a concentration in Applied Statistics may choose Sample Curriculum II below.

  Beginning the Ph.D. Computational Science Program
First Year
Fall Spring Summer
MATH 5560 (3 hours) MATH 5610 (3 hours) Elective1 (3 hours)
MATH 5600 (3 hours) MATH 7930 (3 hours)  
CPSC 5210 (3 hours) CPSC 5260 (3 hours)  
Second Year   
Fall Spring Summer
MATH 5210 (3 hours) MATH 7950 (3 hours) MATH 7950 (3 hours)
MATH 5590 (3 hours) Electives2 (6 hours)  
MATH 7640 (3 hours)    
Third Year
Fall Spring Summer
MATH 7950 (6 hours) MATH 7130 (3 hours) MATH 7999r (6 hours)
Elective3 (3 hours) MATH 7999r (6 hours)  
 
1Take one course from CPSC, ENCM, or MATH, at the 5000-7000 level.
2Take two mathematics courses from MATH 5530, MATH 7580, or MATH 7910r.
3Take one mathematics course from MATH 5530, MATH 7290, MATH 7460, MATH 7560, MATH 7590, or MATH 7910r.
 
  Beginning the Ph.D. Computational Science Program
First Year
Fall Spring Summer
MATH 5560 (3 hours) MATH 5610 (3 hours) Elective1 (3 hours)
MATH 5600 (3 hours) MATH 7930 (3 hours)  
CPSC 5210 (3 hours) CPSC 5260 (3 hours)  
Second Year   
Fall Spring Summer
MATH 5131 (3 hours) MATH 7160 (3 hours) MATH 7950 (3 hours)
MATH 5210 (3 hours) MATH 7950 (3 hours)  
MATH 7640 (3 hours) Electives2 (3 hours)  
Third Year
Fall Spring Summer
MATH 7950 (6 hours) MATH 7130 (3 hours) MATH 7999r (6 hours)
Elective3 (3 hours) MATH 7999r (6 hours)  
 
1Take one course from CPSC, ENCM, or MATH, at the 5000-7000 level.
2Take one mathematics course from MATH 5530, MATH 7580, or MATH 7910r.
3Take one mathematics course from MATH 5530, MATH 7290, MATH 7460, MATH 7560, MATH 7590, or MATH 7910r.

The two sample programs of study above list the required coursework and the sequence in which it might be completed.  As with all research-based academic programs, it is generally the research that determines the duration of time needed to complete the degree requirements.  A program of study may support cross-listed 7000-level courses in Computer Science, such as

  • CPSC 7110 - High Performance Scientific Computing
  • CPSC 7220 - Bioinformatics
  • CPSC 7240 - Computational Genomics
  • CPSC 7250 - Advanced Data Science

and in Computational Engineering, such as

  • ENCM 7130 - Advanced Topics in the Finite Element Method
  • ENCM 7210 - Parallel Scientific Super Computing
  • ENCM 7340 - Viscous Flow Computation
  • ENCM 7510 - Advanced Turbulence Modeling

For any additional questions concerning the department's graduate programs, please contact

Dr. Francesco Barioli
Graduate Coordinator
E-mail:  Francesco-Barioli@utc.edu
Telephone:  (423) 425-2198