Mathematical Sciences Faculty in 1993, 2001 and Current Curricula

Staff (1993):

In 1993-94 the Department was still in the College of Sciences and the list of faculty was as follows:

Professor J.P. Jarvis was Interim Head of the Department, Professor T.G. Proctor was Associate Head, Professor D.R. LaTorre was Director of Undergraduate Studies, and Professor R.E. Fennell was Director of Graduate Studies.

Staff (2001):

In the academic year 2001 the Mathematical Sciences Faculty (now in the College of Engineering and Sciences) was as follows:

In the spring semester, Professor Hiren Maharaj became an Assistant Professor. His degrees are: BS 1993, MS (later converted to a PhD) University of Natal, and PhD 2000 Pennsylvania State University. Also teaching in the spring semester was Emeritus Professor T.G. Proctor.

Professor George Fix was Department Chair, Professor J.P. Jarvis was Coordinator of Instruction, Professor Robert Fennell was Acting Director of Undergraduate Studies, and Professor D.R. Shier was Director of Graduate Studies.

Current Undergraduate Program

Mathematical Sciences students gain a broad knowledge of mathematical concepts and methods that are applicable in sciences, engineering, business, industry and other professions. In addition to the courses that provide these skills, the curriculum allows students to select an emphasis area that provides an introduction to an area where mathematics is applied. These are Applied Analysis, Biology, Computer Science, Operations Research/Management Science, and Statistics.

The curriculum seeks to provide an adequate background for graduate study or positions in business, industry, or government. Students electing the Biology Concentration will have the necessary preparation for entering medical school. Detailed information about the degree program and the emphasis areas can be seen on the department web site. Briefly, in addition to the general education courses (English, history, languages, etc.) the following mathematical sciences are taken: three semesters of calculus, differential equations, two computer courses, a problem solving course in discrete mathematics, linear and modern algebra, statistics, probability, two semesters of advanced calculus, a physics course, and a two course science sequence. Usually in the third semester, a student chooses one of the emphasis areas listed above and takes 12-15 semester in courses related to that area.

Current Graduate Programs

The master's degree is based on developing breadth as well as depth in the mathematical sciences. It requires two years of course work and culminates with a master's project (non-thesis option) or a six-hour master's thesis (thesis option). The master's project is for one credit and is presented in written and oral format (as is the master's thesis). The Doctor of Philosophy program emphasizes a solid foundation in five areas (algebra/discrete mathematics, analysis, computational mathematics, operations research and probability/statistics). Therefore the background courses are the same as the breadth courses for the master's degree. Then the PhD program is structured into three disciplines: applied and computational analysis (continuous modeling), discrete mathematics (discrete modeling), and statistics and probability (stochastic modeling). Doctoral research may range from having a strong emphasis in modeling to those that are theoretical. It is expected beginning doctoral students will have a master's degree in mathematics or statistics.

Components of the MS (non-thesis) degree

Prerequisites

  • Linear Algebra
  • Differential Equations
  • Computer Language
  • Statistics

Foundations

  • Modern Algebra
  • Advanced Calculus
  • Probability
  • Discrete Computing Course

Breadth Areas

  • Algebra
  • Analysis
  • Scientific Computing
  • 860 Intro. to Scientific Computation
  • Operations Research
  • Statistics
     
  • Statistics/OR

Recommended Breadth Courses

  • MTHSC 853: Matrix Analysis
  • MTHSC 821: Linear Analysis
  • MTHSC 860: Intro. to Scientific Computation
  • MTHSC 810: Linear Programming
  • MTHSC 805: Data Analysis
  • MTHSC 804: Intro. to Statistical Inference
  • MTHSC 800: Probability
  • MTHSC 803: Stochastic Processes
  • MTHSC 814: Network Flow Programming

Concentration Area

  • Six Courses

Master's Project

  • MTHSC 892

Concentration Areas

Students, in consultation with their advisor and their master's committee, have flexibility in structuring the six courses that define the concentration area. Typical areas of concentration are algebra/discrete mathematics, applied analysis, computing, operations research, and probability/statistics. Possible concentration courses in these areas are shown below. It is also possible for a student to combine several of these disciplines to define a hybrid concentration area (such as financial mathematics). Graduate courses outside the Department of Mathematical Sciences can be used to fulfill the concentration requirement, if they contribute to a meaningful program for the student. In addition to the courses listed, Selected Topics courses (MTHSC 98x) are regularly offered within the various concentration areas.

Possible concentration courses by area

Algebra/Discrete Mathematics

Applied Analysis

Computing

Operations Research

Probability/Statistics

Thesis Option

It is also possible for students to pursue the thesis option under the master's program. In this case, the student again satisfies the breadth requirements (six courses). A minimum of 36 credit hours of approved course work is required, which includes 6 hours of thesis research (MTHSC 891). The thesis is written according to Graduate School and Department guidelines under the direction of a research advisor, and the student presents the thesis research to his or her master's thesis committee in an oral defense.


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