Mathematics, Mathematics Education Concentration (M.S.)

The Master of Science degree in Mathematics is offered with concentrations in computer science, mathematics education, pure and applied mathematics, or statistics. Concentrations consist primarily of taking four to six courses in the area of the concentration. The master's degree in mathematics with a computer science concentration differs from the MS degrees in Computer Science, as does the master's degree with a statistics concentration differ from the MS in Statistics. The MS in Computer Science is discussed under Computer Science and the MS in Statistics is discussed under Statistics. The Mathematics degrees are discussed below. The MS degrees in Mathematics with concentrations in computer science, pure and applied mathematics, and statistics provide students with the advanced material needed for positions of leadership in business, industry and government as well as for teaching at the high school and community college level. The concentration in mathematics education will upgrade the skills of teachers and offers a special combination of courses in mathematics, mathematics education and the use of technology in mathematics education. This degree does not lead to certification. All the concentrations prepare students to pursue doctoral degrees.

At present, 19 full-time faculty members are teaching graduate courses in pure and applied mathematics, mathematics education or statistics. Our curriculum in mathematics has extensively integrated modern methods of computing. The special interests of the faculty include algebra, analysis, applied statistics, chaos theory, combinatorics, dynamical systems, game theory, graph theory, logic, mathematical modeling, mathematics/computer science education, methods and techniques of teaching mathematics, modeling in the biological, chemical and physical sciences, operations research, problem solving, representation theory, statistical computing and graphics, voting theory, and the use of technology in education. Our faculty in mathematics education are known throughout the United States.

Computer facilities comprise access to a VAX cluster, several stand-alone VAX microcomputers and a Sun Local Area Network. The Sun Local Area Network of workstations and servers consists of an Enterprise 450, SparcServer 1000, Ultra 30, Ultra 10's, Sparc 20's, and Sparc 5's. The VAX cluster which consists of DEC VAX 7620, 6610, 7620, 6310, 3500, 4000, 3500 microVAX II with four LSI/11 micros connected to it, and two ALPHA 2100. These VAX's may be accessed from the VAX laboratory that contains a variety of DEC terminals or via the MSUnet from numerous remote sites. Outside dial-ups to MSUnet are available. Software packages available through the VAX system include: ADA, Basic, C, C++, COBOL, FORTRAN, GPSS, Ingress, Lisp, Macro, MAPLE, Minitab, Pascal, Pl/1, Prolog, SAS, SAS graphics, SPSSX, and SPSS graphics.

The network of SUN Microsystems' file servers, computer servers and individual workstations operates under UNIX. Software packages and programming languages available on the SUN network include Maple, MATLAB, Iris Explorer, Rational Rose, SAS, S plus, Ingres, mSQL, JavaStudio and Java Workshop. Programming languages available include: C, C++, Java, gcc, Ada FORTRAN, Pascal, Lisp, Prolog, Perl, LaTEX, and smalltalk.

The Sun network is also connected to MSUnet. Laboratories of Power Macintoshes and Dell Pentium PC's are available throughout the campus for student use and make a wide variety of software such as JMP, MacSpin, Data Desk, Solo, Statisix and Office available for student use.

Program Requirements

Mathematics Education
MATH 513Computer Science Concepts for High School Teachers3
Select one of the following:3
Administration and Supervision of Mathematics
Curriculum Construction in Mathematics
Contemporary Teaching of Mathematics
Mathematics Materials for Teachers of Mathematics
Select one of the following:3
Problem Analysis in Secondary Mathematics
Selected Topics in Mathematics Education
Approaching School Mathematics Through Applications
Select one of the following:3
Administration and Supervision of Mathematics
Curriculum Construction in Mathematics
Contemporary Teaching of Mathematics
Mathematics Materials for Teachers of Mathematics
Problem Analysis in Secondary Mathematics
Selected Topics in Mathematics Education
Approaching School Mathematics Through Applications
Electives
Major Electives
Select 15 credits from the list (see below)15
Additional Electives
Select 6 credits from the Additional Electives list (see below)6
Comprehensive Examination
GRAD CMPComprehensive Examination0
In the term that you will sit for exam, register for the section which matches your major & advisor. Successfully pass exam.
Total Credits33

Electives

Select 15 credits. At least three of the following categories must be selected:
Algebra
MATH 518Foundations of Abstract Algebra3
MATH 531Abstract Algebra I3
MATH 532Abstract Algebra II3
MATH 535Linear Algebra I3
MATH 536Linear Algebra II3
Analysis
MATH 515Intermediate Analysis I3
MATH 516Intermediate Analysis II3
MATH 521Real Variables I3
MATH 522Real Variables II3
MATH 525Complex Variables I3
MATH 526Complex Variables II3
Applied Mathematics - Continuous
MATH 560Numerical Analysis3
MATH 564Ordinary Differential Equations3
MATH 566Partial Differential Equations3
MATH 568Applied Mathematics: Continuous3
Applied Mathematics - Discrete
MATH 569Applied Mathematics: Discrete3
MATH 580Combinatorial Mathematics3
MATH 581Graph Theory3
MATH 584Operations Research3
Statistics
MATH 540Probability3
STAT 541Applied Statistics3
STAT 542Statistical Theory I3
STAT 543Statistical Theory II3
STAT 544Statistical Computing3
STAT 545Practicum in Statistics I3
STAT 546Non-Parametric Statistics3
STAT 547Design and Analysis of Experiments3
STAT 548Applied Regression Analysis3
STAT 549Sampling Techniques3
STAT 640Biostatistics I3
STAT 641Biostatistics II3
STAT 642Introduction to Stochastic Processes3
STAT 645Advanced Topics in Statistics3
STAT 646Multivariate Analysis3
STAT 647Practicum in Statistics II3
STAT 648Advanced Statistical Methods3
STAT 649Independent Study in Statistics3
Geometry
MATH 551Topology3
MATH 554Projective Geometry3
Computer Science
CMPT 576Object-Oriented Software Development3
CMPT 578Introduction to Artificial Intelligence3
CMPT 581Systems Software Design3
CMPT 587Microcomputers and Computer Interfaces3
CMPT 588Fundamentals of Programming Languages3
CMPT 589Computer Simulation of Discrete Systems3
CMPT 593Structured System Design and Analysis3
CMPT 678Neurocomputing3
CMPT 696Local Area Networks3

Additional Electives

CMPT 576Object-Oriented Software Development3
CMPT 578Introduction to Artificial Intelligence3
CMPT 581Systems Software Design3
CMPT 587Microcomputers and Computer Interfaces3
CMPT 588Fundamentals of Programming Languages3
CMPT 589Computer Simulation of Discrete Systems3
MATH 521Real Variables I3
MATH 522Real Variables II3
MATH 525Complex Variables I3
MATH 526Complex Variables II3
MATH 530Mathematical Computing3
MATH 531Abstract Algebra I3
MATH 532Abstract Algebra II3
MATH 535Linear Algebra I3
MATH 536Linear Algebra II3
MATH 540Probability3
MATH 551Topology3
MATH 554Projective Geometry3
MATH 560Numerical Analysis3
MATH 564Ordinary Differential Equations3
MATH 566Partial Differential Equations3
MATH 568Applied Mathematics: Continuous3
MATH 569Applied Mathematics: Discrete3
MATH 570Administration and Supervision of Mathematics3
MATH 571Curriculum Construction in Mathematics3
MATH 572Contemporary Teaching of Mathematics3
MATH 573Mathematics Materials for Teachers of Mathematics3
MATH 574Problem Analysis in Secondary Mathematics3
MATH 575Selected Topics in Mathematics Education3
MATH 576Research Seminar in Mathematics Education3
MATH 577Mathematics Education in the Elementary School3
MATH 578Special Topics in Mathematics Education3
MATH 579Approaching School Mathematics Through Applications3
MATH 580Combinatorial Mathematics3
MATH 581Graph Theory3
MATH 584Operations Research3
MATH 585Fundamentals of Scientific Computing3
MATH 586Fundamentals of Mathematical Models3
MATH 587Fundamentals of Optimization3
MATH 588Professional Science Master Mini-Projects6
MATH 590Advanced Topics3
MATH 591Applied Industrial Mathematics3
MATH 595Seminar1-4
STAT 541Applied Statistics3
STAT 542Statistical Theory I3
STAT 543Statistical Theory II3
STAT 544Statistical Computing3
STAT 545Practicum in Statistics I3
STAT 546Non-Parametric Statistics3
STAT 547Design and Analysis of Experiments3
STAT 548Applied Regression Analysis3
STAT 549Sampling Techniques3