Aug 10, 2020  
2010-2011 Denver Campus Catalog 
2010-2011 Denver Campus Catalog [ARCHIVED CATALOG]

Applied Mathematics, PhD

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Graduate School Rules  apply to this program.


Program Requirements

The Department of Mathematical and Statistical Sciences also offers a PhD in applied mathematics. The degree is designed to give candidates a contemporary, comprehensive education in applied mathematics and to provide research opportunities in the special fields of discrete mathematics, optimization, operations research, applied probability, computer science, computational mathematics, applied statistics and the mathematics of science and engineering.

There are six phases of the PhD program. A candidate must fulfill course requirements, pass the preliminary examinations, establish a PhD committee, meet the academic residency requirement, pass the comprehensive examination and write and defend a dissertation.

  • Students must complete 42 semester hours of nonthesis course work at the graduate level (up to 30 hours of this course work may be transferred in, including courses taken as part of the MS master’s degree). In addition, 30 hours of dissertation credit must be taken. The following courses are required as part of the formal course work: four PhD-level courses (3 hours each), math clinic and three readings courses (1 semester hour each). Students must also satisfy a breadth requirement by completing a total of six graduate math courses from among several areas of mathematics, with no more than three of these courses from any one area. A 3.25 GPA must be maintained throughout all course work.
  • The preliminary examinations are designed to determine that students who intend to pursue the PhD program are qualified to do so. These four-hour written examinations are in the areas of applied analysis and applied linear algebra. Students must pass these exams within two years of entering the program. Exception: students admitted with prerequisite deficiencies must pass these exams within three years.
  • Six semesters of residence are required, as specified in the rules of the Graduate School . All students are strongly advised to spend at least one year doing full-time course work or research with no outside employment.
  • Application for candidacy is made after completion of the preliminary examinations and after at least three semesters of residency. The application must be submitted at least two weeks before taking the comprehensive examination. The comprehensive examination is designed to determine mastery of graduate-level mathematics and the ability to embark on dissertation research. It consists of a six-hour written examination and an oral follow-up examination. Students must pass the comprehensive exam within 4 years of admission. Within six months after passing the comprehensive examination, the candidate must present a dissertation proposal to the dissertation committee.
  • Each student must write and defend a dissertation containing original contributions and evidence of significant scholarship. The dissertation defense is public and must be given before an examining committee approved by the Graduate School. 

For more detailed information about the applied mathematics PhD, see the Math Graduate Handbook .


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