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Mathematical and Computer Sciences (M.S., Ph.D.)
Mathematics Emphasis

With guidance from our internationally known faculty, students in the CSM Mathematical and Computer Sciences graduate program solve real problems from industry and government by applying the theoretical tools from mathematical and computer science disciplines. Our focus on applied problems gives students "hands on" experience – experience we believe is essential for a successful career in these fields.

Research

The Department offers graduate programs in three main areas of concentration: applied mathematics, applied statistics, and computer sciences. Members of the Department are actively involved in the Center for Wave Phenomena (CWP), and with the Center for Automation, Robotics and Distributed Intelligence (CARDI). These and other interdisciplinary activities give students many opportunities to participate in engineering and applied science projects on campus. Research is focused in the following areas:

Applied Mathematics

  • Classical Scattering Theory
  • Dynamic Systems
  • Inverse Problems
  • Mathematical Finance
  • Mathematical Methods for Wave Phenomena
  • Micro-local Analysis
  • Nonlinear Partial Differential Equations
  • Numerical Analysis
  • Optimal Control
  • Optimization Software
  • Seismic Inverse Methods
  • Symbolic Computing
  • Wavelets

Applied Statistics

  • Geostatistics
  • Hierarchical Bayes Methods
  • Kalman Filtering
  • Large Data Sets
  • Multivariate Statistics
  • Spatial Statistics
  • Splines
  • State-Space Models
  • Statistical Inverse Problems
  • Stochastic Models for Environmental Science
  • Survival Analysis
  • Wavelet Applications
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Mathematical and Computer Sciences

Center for Automation, Robotics, and Distributed Intelligence
Center for Wave Phenomena
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    6 Ph.D. students
    7 Master’s students
    15.4% minority
    30.8% female
    15.4% international













Degree Programs

Master of Science

The thesis option of this program requires 24 semester hours of acceptable course work, including the required core curriculum, along with 12 research credit hours. Students in this option must complete and defend a thesis. Students can specialize in applied mathematics or applied statistics.

The non-thesis option, requires 36 hours of course work (at least 21 of those credits taken at CSM). Students choosing this option have a strong background in both mathematics and computer sciences, and are preparing for advancement in a career that demands mathematical training with computer fluency.

The required core curriculum for both the non-thesis and thesis options is listed below.

Applied Mathematics

  • MACS 407 - Introduction to Scientific Computing
  • MACS 454 - Complex Analysis I
  • MACS 500 - Linear Vector Spaces
  • MACS 502 - Real and Abstract Analysis
  • MACS 514 - Applied Mathematics I

Applied Statistics

  • MACS 401 - Real Analysis
  • MACS 530 - Statistical Methods I
  • MACS 531 - Statistical Methods II
  • MACS 534 - Mathematical Statistics I
  • MACS 535 - Mathematical Statistics II
The student, in consultation with their advisor and thesis committee, selects the remaining program of study.

Combined BS/MS Program

Students earning a B.S. in Math & Computer Sciences at Mines are eligible to apply into the combined BS/MS program. This allows students to double count six credits of 400-level courses towards the degree requirements of both the B.S. and M.S. Students follow the degree requirements for either the M.S. non-thesis or thesis option. Students are eligible to apply after they have completed at least five undergraduate math courses at Mines. A list of eligible courses is available on the Department website. Students must have a cumulative GPA of 2.5 or higher and a GPA of 3.3 or higher in the math coursework. Once students are admitted to the combined program, a 3.0 GPA must be maintained each semester.

Doctor of Philosophy

This program requires 72 semester hours beyond the bachelor's degree, of which no fewer than 24 are thesis hours. At least 12 hours of course work must be in a cohesive area distinct from the main area of research. Two semesters of full-time residence on campus are also required. Doctoral students must pass a qualifying examination and a comprehensive examination and write and defend a dissertation. Usually students require a minimum of two years after the MS to finish a PhD assuming that the MS was completed at CSM. Students with an MS from another institution usually take three-four years to complete the PhD.

Admissions/Entrance Requirements

Program applicants should have completed an undergraduate program equivalent to a BS in mathematics, statistics, or computer sciences. Prerequisites for each track are as follows:

Applied Mathematics

  • Linear Algebra
  • Vector Calculus
  • Ordinary Differential Equations
  • Advanced Calculus (Introduction to Real Analysis)

Applied Statistics

  • Linear Algebra
  • Vector Calculus
  • Introduction to Probability & Statistics
  • Advanced Calculus (Introduction to Real Analysis)

Deficiency courses must be completed prior to or concurrent with taking graduate courses. Students who are unsure whether or not they have the listed prerequisites are encouraged to contact the Department for clarification by using MCSgradc@mines.edu.

Students must submit a Graduate Admission Application, statement of goals, GRE scores, three letters of recommendation, and official transcripts. Students applying to the combined BS/MS program need only submit the graduate admissions application form. GRE scores, letters of recommendation, statement of goals and transcripts are waived.

Fall Admission Yes
   Financial support priority deadline Jan. 15
   U.S. citizen application deadline July 1
   International application deadline April 1
Spring Admission Yes
   U.S. citizen application deadline Nov. 1
   International application deadline Sept. 1
GRE required Yes
   Subject test required No
   Average accepted Verbal 537
   Average accepted Quantitative 756
   Average accepted Analytical Writing 4.0

Financial Assistance

Financial aid for graduate studies is available through teaching assistantships, research assistantships, and scholarship and grant programs. There is considerable competition for these awards.

The Department has a limited number of Teaching Assistantships (TAs) to award to graduate students. These TAs are normally reserved for full-time students who have demonstrated academic excellence and who are pursuing a degree with a thesis component (MS, thesis option or PhD). It is a school policy that students with TAs do not have full responsibility for teaching courses. A full-time TA will require not more than 20 hours of work per week, on average. Renewal of appointments is dependent on satisfactory academic performance as well as satisfactory performance in TA assignments.

Individual faculty members sometimes have positions available for Research Assistants (RAs). The terms of these appointments, and qualifications for them, depend on the sponsoring agency and the faculty member. The average number of hours per week required is specified in each RA contract.

Decisions on financial support are made in conjunction with the admission process.

Contact

Dr. Bill Navidi, Graduate Program Chair
Department of Mathematical and Computer Sciences
Colorado School of Mines
Golden, Colorado 80401
Phone: 303-273-3489
FAX: 303-273-3875