The University of Vermont Graduate Program in Mathematics and Statistics is a vibrant community, valuing high-quality interactions between individuals while embracing the best uses of technology to encourage the development of well-prepared, well-rounded mathematicians and statisticians who will make important contributions to society as individuals and as team members.

Hallmarks of our program include flexibility, the integration of theory, application and computation, opportunities for collaborative and independent work, easy access to powerful computing resources, and small classes, personal attention, and friendly, supportive relationships among faculty, students and staff.

We feature working groups in discrete mathematics, analysis, applied mathematics, algebra/number theory, and applied statistics and biostatistics with active schedules of seminars, problem-sessions, discussions, and conference attendance and organization. Students are invited to share the benefits of joining in these activities. PhD. candidates (and typically M.S. candidates as well) gain significant teaching experience by serving as Graduate Teaching Fellows for one or more semesters. This includes full responsibility for preparing lessons, and instructing and grading a small class with the support of a faculty course-coordinator.

Mathematics M.S.T.

The Mathematics Master of Science in Teaching (M.S.T.) degree is intended primarily for licensed K-12 teachers, and the Department has instituted courses specifically designed for elementary, middle school, and high school teachers. These courses are designated as MAED (Mathematics for Educators) courses. They emphasize mathematics and statistics content together with the application of content knowledge to the K-12 classroom.

PH.D. Qualifying Exams & Thesis Templates

Ph.D. Qualifying Exam Syllabi

Ph.D. Qualifying Exams

Exams Solutions
PDF icon Real and Complex Variables Exam, Fall 2015 (PDF)  
PDF icon Numerical Analysis Qualifying Exam, Spring 2014 (PDF) PDF icon Solutions (PDF)
  PDF icon Algebra Qualifying Exam, October 2011, Solutions (PDF)
  PDF icon Complex Variables Qualifying Exam, January 2011, Solutions (PDF)
PDF icon Numerical Analysis Qualifying Exam, January 2011 (PDF) PDF icon Solutions (PDF)
  PDF icon Algebra Qualifying Exam, October 2010, Solutions (PDF)
PDF icon Numerical Analysis Qualifying Exam, Spring 2010 (PDF) PDF icon Solutions (PDF)
PDF icon Methods of Applied Mathematics Qualifying Exam, January 2010 (PDF) PDF icon Solutions (PDF)
  PDF icon Real Analysis Qualifying Exam, January 2009, Solutions (PDF)
  PDF icon Algebra Qualifying Exam, January 2009, Solutions (PDF)
PDF icon Algebra Qualifying Exam, September 2008 (PDF) PDF icon Solutions (PDF)
PDF icon Complex Variables Qualifying Exam, September 2008 (PDF) PDF icon Solutions (PDF)
PDF icon Real Analysis Qualifying Exam, September 2008 (PDF) PDF icon Solutions (PDF)
PDF icon Algebra Qualifying Exam, May 2008 (PDF) PDF icon Solutions (PDF)
PDF icon Complex Variables Qualifying Exam, May 2008 (PDF) PDF icon Solutions (PDF)
PDF icon Differential Equations Qualifying Exam, May 2008 (PDF) PDF icon Solutions (PDF)
PDF icon Real and Complex Analysis Qualifying Exam, May 2008 (PDF) PDF icon Solutions (PDF)
PDF icon Differential Equations Qualifying Exam, January 2008 (PDF)

PDF icon Solutions: ODEs (PDF)

PDF icon Solutions: PDEs (PDF)

  PDF icon Real Analysis Qualifying Exam, January 2008, Solutions (PDF)
PDF icon Real Analysis Qualifying Exam, September 2007 (PDF) PDF icon Solutions (PDF)
PDF icon Complex Analysis Qualifying Exam, September 2007 (PDF) PDF icon Solutions (PDF)