Doctor of Philosophy - Emphasis in Computational & Applied Mathematics

Spotlight on Our Graduate Mathematics Faculty

mganesh

Mahadevan Ganesh

Professor

Joined CSM in 2003

Research Interests:

Scientific computing and analysis of partial differential and surface integral equations, acoustic and electromagnetic scattering, constructive approximations.

The PhD degree program is sufficiently flexible to prepare candidates for careers in industry, government, or academia. Coursework provides a strong background in applied mathematics. Students may specialize in a variety of areas,including

  • Classical Scattering Theory
  • Computational Methods for Partial Differential Equations
  • Dynamical Systems
  • Inverse Problems
  • Mathematical Methods for Wave Phenomena
  • Nonlinear Partial Differential Equations
  • Numerical Analysis
  • Scientific and High-performance Computing
  • Symbolic Computing
  • Wavelets
  • A course of study leading to the PhD degree can be designated either for the student who has completed the MS degree or for the students who has complete the bachelor's degree.

    Following is a summary of the Doctor of Philosophy Program with an emphasis in Applied Mathematics. Additional information on Graduate School Requirements can be found in the Graduate Bulletin.

    Requirements for Admission

    Applicants must have a Bachelor's of Master's degree, or equivalent, from an accredited institution. Students are expected to have completed courses in linear algebra, vector calculus, ordinary differential equations and advanced calculus or real analysis. Applicants without the prerequisites stated above may occasionally be admitted with deficiencies.

    Course Requirements

    The following core courses are required of all students. Students who have taken equivalent courses at another institution may satisfy these requirements by transfer.

    Required Courses

    All student are required to take the course SYGN 502 - Introduction to Research Ethics

    Qualifying Examination

    Each student must pass three written exams, in the areas of Pure Mathematics, Applied Mathematics, and Computational Mathematics. Each exam will cover one course from the corresponding list below. Each student will choose which courses from each list he or she will be examined on. Students are not required to take the courses in order to take the exams.

    Students should complete the qualifying exam within two years after enrolling in the PhD program. The course descriptions for both the graduate level courses and the senior level courses are available for you to review.

    Doctoral Dissertation

    A doctoral dissertation, comprising original work in applied/computationals mathematics, must be completed and defended in an oral examination. Students should find a thesis advisor and form a thesis committee by the end of their second year.

    Timeline

    For more information, please see the detailed requirements or a sample timeline for the PhD program.

    How to Apply

    Applicants must submit the following materials:

    • transcripts of undergraduate and graduate work;
    • a statement of purpose (short essay) from the applicant briefly describing background, interests, goals at CSM, career aspirations, etc;
    • three letters of recommendation; and
    • the general Graduate Record Examination (GRE).

    In addition, international students must submit the following:

    • Test of English as a Foreign Language (TOEFL) scores
    • International Student Financial Statement

    A complete list of fees, deadlines and requirements, along with the online application, can be found on the Graduate Admissions home page. Additional information may be requested via the Online Graduate Information Request Form.

    Applied Mathematics & Statistics
    Colorado School of Mines
    Golden, CO 80401-1887
    Phone: 303.273.3880
    Fax: 303.273.3875
    E-Mail: amsweb@mines.edu