Graduate Study in Mathematics
 

Mathematics

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Beginning Summer of 2007  Earn Your MS in Mathematics at Tarleton's Fort Worth Campus

Notice: Now taking Applications for Teaching Assistantships for the Stephenville Campus!

Tarleton's Ft. Worth Campus Course offerings:

Summer 2008 - Tarleton State University will offer two graduate courses at the Hickman Building in Fort Worth. Both courses will be sent to the Stephenville campus via interactive video. 

The course will run July 14-30.

8:00 -11:30 MATH 507 – A Function Approach to Algebra (This course is appropriate for anyone teaching Algebra I through Pre-calculus.)

1:00 - 4:30 MATH 584  – Instructional Technology  (This course will include an introduction to the TI-Nspire.)

For more info. about our Tarleton's Ft. Worth Campus call 254-968-1907 or 254-968-9168

Master of Science in Mathematics                         
PURPOSE
The MS in Mathematics is designed to enhance and enrich training in the field of mathematics for persons who teach at the secondary level or in community colleges, and for people who plan to work as applied mathematicians in industry or government agencies. The department offers the Master of Science degree with thesis and non-thesis tracks.

ADMISSION REQUIREMENTS
Students should have an undergraduate major in mathematics or related field. Those lacking the appropriate background will be required to complete leveling work. The departmental graduate advisor in consultation with the mathematics faculty will review the student's transcript and determine if leveling work is needed. The departmental graduate advisor will assist the student in selecting a graduate committee. The committee should consist of a minimum of three members, two of whom are from the graduate faculty of the Department of Mathematics and Physics. The third can be from the graduate faculty of a department in which the student takes support work.

DEGREE REQUIREMENTS
The MS in Mathematics requires 36 hours of approved work in Mathematics and supporting areas. At least 24 hours will be 5000 level mathematics courses excluding a thesis. These courses will include Real Analysis, Linear Algebra, Abstract Algebra, and Probability and Statistics. The remaining 12 hours will be selected from approved mathematics or supporting courses. A student may elect to do a master's thesis. The chair of the student's graduate committee will direct the master's thesis.

COMPREHENSIVE EXAMINATION
The department requires an oral comprehensive examination for the MS degree. The comprehensive examination will be administered by the student's graduate committee during the last semester of the program. The Dean of the College of Graduate Studies or a representative from the Graduate Office will be invited to participate in the oral examination. If the result of the oral comprehensive examination is less than satisfactory, additional course work in areas of weakness may be recommended before rescheduling the examination.

Official Tarleton State University Online Catalog Listing: Be warned this link is to the page that lists all Master Degrees offered by the College of Science and Technology. To get to Mathematics, you must scroll to the bottom of the page. The actual course listing and descriptions are offered below.

Graduate Mathematics Course Offerings:

500.  History of Mathematics. (3-0) A historical and philosophical development of mathematics from earliest times down to the present. Mathematical topics are presented in a historical and philosophical setting not only to provide a unifying theme, but also to illustrate how the evolution of mathematical ideas finally led to modern concepts in the field. Prerequisite: Approval of department head.

505.   Probability and Statistics. (3-0) Topics will be selected from: distributions and stochastic processes, parametric and nonparametric statistics, and time series analysis. Prerequisite: 3 semester hours of undergraduate statistics.

506.   Dynamical Systems. (3-0) Advanced study of dynamical systems. Topics will be selected from discrete and continuous dynamical systems, sensitivity analysis, models of the physical, life, and social sciences, and bifurcation analysis. Prerequisite: MATH 3063 and 3323.

507.   Topics in Secondary Mathematics. (3-0) This course applies the standards of the National Council of Teachers of Mathematics to the curriculum of secondary mathematics. It explores techniques to implement the standards through the use of manipulatives, graphing calculators, and computer technology. Prerequisite: 12 semester hours MATH or approval of department head.

508.  Abstract Algebra. (3-0) Topics will be selected from: groups, homomorphism, isomorphism, direct products and sums, invariant properties, rings, and fields. Prerequisite: MATH 3073.

509.  Complex Variables. (3-0) An introduction to complex analysis. Topics will be selected from elementary operations and analytic functions, curves and integrals, power series, Cauchy’s theorem, zeroes and singularities of analytic functions, Laurent series, maximum principle, analytic continuation, harmonic functions, conformal mapping and transformations. Prerequisite: MATH 2094 or approval of department head.

511.  Operations Research. (3-0) This course examines the theoretical support and applications of the simplex algorithm for linear programming and for dynamic programming. Transportation and scheduling problems are among the applications to be emphasized. Prerequisite: MATH 3323.

520.  Real Analysis. (3-0) Topics will be chosen from: sets and operators; cardinal numbers and ordinal types; metric spaces and Lebesque measure; metric properties of sets; differentiation and integration. Prerequisite: MATH 4093.

530.  Mathematical Modeling. (3-0) An advanced course in mathematical modeling. Topics will be selected from scaling, dimensional analysis, regular and singular perturbation theory, stability theory, and asymptotic analysis. Prerequisites: MATH 3063, 3323.

550.   Linear Algebra. (3-0) An advanced course in linear algebra. Topics to be selected from linear spaces and operators, canonical forms, quadratic forms and optimization, computation and condition, and compatible systems. Prerequisite: MATH 3323.

560.   Numerical Analysis. (3-0) An advanced study of numerical analysis. Topics will be selected from linear systems, approximation theory, numerical differential and integral equations, integration theory. Prerequisite: MATH 3603.

580.  Selected Topics in Mathematical Theory. (3-0) An examination of topics in mathematical theory appropriate for secondary mathematics educators. Topics will be selected from geometry and topology, number theory, modern algebra, and library research in mathematics. This course may be repeated for credit as the topic changes. Prerequisite: Approval of department head.

584.  Instructional Technology. (3-0) The technological resources available to mathematics educators and the implementation of these resources will be studied. The technological resources to be discussed may include graphing calculators, data collection devices, computer software packages, and internet resources. This course may be repeated for credit as the topic changes. Prerequisite: Approval of department head.

586.  Advanced Special Problems in Mathematics. (Credit variable) Special problems in mathematics. Work may be either theory or laboratory. May be repeated with approval of the department head for additional credit when fewer than four credits have been earned. Prerequisite: Approval of department head.

590.  Selected Topics in Applied Mathematics. (3-0) An examination of topics in applied mathematics. Topics for study will be selected from advanced mathematical modeling, advanced numerical techniques, practical optimizations, calculus of variations, dynamic programming, integral equations, optimal control, perturbation methods, and library research in applied mathematics. This course may be repeated for credit as the topic changes. Prerequisite: Approval of department head.

Mathematics Education Course List

	I shall be telling this with a sigh
	Somewhere ages and ages hence:
	Two roads diverged in a wood, and I—
	I took the one less traveled by,
	And that has made all the difference.

~Tarleton State University~

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