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Department of Mathematics
and Computer Science
Chair: Don E. Edwards, Associate Professor
Location: CFO 812
Phone: (940) 898-2166
Fax: (940) 898-2179
E-Mail: mathcs@twu.edu
Website: www.twu.edu/as/mathcs/
Faculty: Professors F. Thompson, W. Zimmermann; Associate
Professors M. Demuynck, E. Grigorieva, M. Hamner, T. Hogan, M. Holt, W. Mallam,
D. Marshall; Assistant Visiting Professor: B. Pohl, Senior Lecturers:
C. Banks, B. Ferrell, E. Hays.
Graduate Degrees Offered
- M.A. and M.S. in Mathematics.
- M.S. in Mathematics Teaching.
The Department of Mathematics and Computer Science offers graduate studies leading
to the following degrees: Master of Arts in mathematics, Master of Science in
mathematics, and Master of Science in mathematics teaching.
The Master of Arts and the Master of Science prepare the student to enter the
workforce or to pursue doctorial degree programs in mathematics, statistics, or related
fields. The Master of Science program in mathematics provides the student an opportunity
to include computer science and statistics in the plan of study.
The Master of Science in mathematics teaching is especially designed for elementary
or secondary school teachers of mathematics or computer science. Course work emphasizes
topics needed for the elementary or secondary school teacher.
The Department of Mathematics and Computer Science has long been an important part
of the mission of the Texas Woman’s University to educate students to hold positions of
respect in all parts of society. This heritage is continuing today in the disciplines
of mathematics and computer science. Women and men are part of this ongoing endeavor
in the graduate programs described in the following.
Admission Requirements
Admission to the graduate programs requires completion of the GRE with a preferred
score of 500 on both the Verbal and Quantitative parts and two letters of reference. In
addition to these general requirements, the Department of Mathematics and Computer
Science requires the following:
A bachelor’s degree with a grade of C or better in the following courses:
- two semesters of introductory calculus,
- two additional advanced mathematics courses (to be approved by the department)
such as modern geometry, abstract algebra, theory of numbers, symbolic logic,
intermediate or advanced calculus, differential equations, numerical analysis,
foundations of mathematics, topology, probability, statistics, or linear algebra.
In addition, admission to the Master of Arts degree program requires a total of
12 hours of advanced work which must include linear algebra, abstract algebra, and
advanced calculus.
If deficiencies in undergraduate courses exist, the student may elect to remove
these deficiencies by completing suitable equivalent courses at the graduate level, if
available. Such courses may not be used to meet a part of the credit-hour requirements
for the degree.
General Requirements for All Master’s Degrees
Master of Arts
Total of 30 hours which includes 6 hours thesis
Master of Science
Thesis Option (Total of 36 hours)
- 30 hours course work*
- 6 hours thesis
Non-thesis option (Total of 36 hours)
- 33 hours course work*
- 3 hours professional paper
Master of Science in Mathematics Teaching
Total of 36 hours
- 33 hours course work*
- 3 hours professional paper
*Course work may be selected from departmental courses in mathematics,
statistics, and/or computer science. Up to 6 hours may be selected as a minor with
prior approval from an advisor from the department.
Special Requirements:
- A grade of A or B for courses to be counted toward the degree.
- A reading knowledge of one modern foreign language for the M.A. degree.
(This requirement may be met with six hours of college credit in a foreign language
or by examination.)
- Of the 24 hours of mathematics on the Master of Arts degree, 18 hours of this
program shall consist of three approved six-hour sequences selected from general
areas such as algebra, analysis, applied mathematics, foundations of mathematics,
geometry, or topology.
Cooperative Education: In order for coursework in Cooperative Education to
be counted as degree credit, department approval must be received during the semester
in which the course is taken. This approval is in addition to approval to enroll in
Cooperative Education coursework. Cooperative Education coursework, as with any
coursework, must also be approved by the student's advisory committee in order to be
included on the degree plan. Only three hours of Cooperative Education may be counted
toward the Master's degree.
Final Examination: A comprehensive written examination upon completion of
the course work and an oral examination upon completion of the thesis or professional
paper are required for all degrees.
Certification Programs Offered
Information regarding teacher certification is available from the department or the
College of Professional Education.
Minors Offered to Students from Other Departments
Graduate students in other departments who desire concentrated study in mathematics
or computer science as a related field should contact the Department of Mathematics and
Computer Science to discuss an appropriate plan of study.
Requirements for the Master of Science in Mathematics for students interested in
careers as Applied Statisticians or Statistical Programmers.
Required:
MATH 5573. Statistical Methods I
MATH 5583. Statistical Methods II
MATH 5483. Theory of Probability and Statistics I
MATH 5493. Theory of Probability and Statistics II
CSCI 5713. Computer Science II
At least two from:
MATH 5513. Matrix Algebra
MATH 5543. Symbolic Logic
MATH 5523. Introduction to Number Theory
MATH 5563. Logic, Sets and Real Numbers
MATH 5763. Methods of Numerical Computation
At least two from: (Note that students may count no more than two courses from
outside the TWU Mathematics and Computer Science Department.)
CSCI 5793. Statistical Packages I
CSCI 5893. Statistical Packages II
CSCI 5813. Concepts of Data Warehousing and Data Mining
PSY 6203. Multivariate Statistics
PSY 6213. Nonparametrics
PSY 6204. Advanced Research Design
STA 566.* Sampling Methods
STA 567.* Reliability Analysis and Quality Control
* These courses will be offered by Sam Houston State University via
distance education.
Total hours required:
36 hours. Students must choose either a thesis or professional paper option. Those
choosing the thesis option must include MATH 5983 and MATH 5993. Students selecting the
professional paper option must include MATH 5973.
Requirements for the Master of Science in Mathematics Teaching
18-21 Hours:
MATH 5423. History of Mathematics
MATH 5483. Theory of Probability and Statistics I
MATH 5493. Theory of Probability and Statistics II
MATH 5513. Matrix Algegra
MATH 5523. Number Theory
MATH 5543. Symbolic Logic
MATH 5573. Statistical Methods I
MATH 5583. Statistical Methods II
3 Hours:
MATH 5103. Problem Solving in the Elementary Grades
MATH 5203. Problem Solving in the Secondary Grades
3-6 Hours:
MATH 5303. Algebra in the Math Classroom
MATH 5903. Math Manipulatives
MATH 5973. Professional Paper (required)
The MSMT is a 36 hour degree which includes 3 hours for the professional paper. To
accommodate current mathematics teachers, classes will be offered in the evenings
during the fall and spring semesters as well as summer. Substitutions may be made with
permission from a mathematics advisor.
Courses of Instruction in Mathematics
MATH 5003. Mathematical Concepts in the Educational Setting.
Problem solving, reasoning, sets, logic, geometry, algebra, trigonometry, matrices,
statistics and probability, sequences and series, graph theory, integration,
differentiation, vectors. Three lecture hours a week. Credit: Three hours.
MATH 5103. Problem Solving in the Elementary Grades. For students desiring
professional development in strategies for teaching problem solving techniques in the
elementary classroom. Number concepts, patterns and relations, functions, geometry,
measurement, probability, statistics, operations and computation. Incorporate
children’s literature, manipulatives and relevant technology. Three lecture hours a
week. Credit: Three hours.
MATH 5203. Problem Solving in the Secondary Grades. Study of problems with
multiple solutions or alternative approaches; strategies for solving problems;
assessment techniques; cooperative grouping methods; critical thinking skills.
Prerequisite: Permission of the instructor. Three lecture hours a week. Credit: Three
hours.
MATH 5303. Algebra in the Mathematics Classroom. Topics in algebra with an
emphasis in problem solving, patterns, relationships, order pairs, prime and composite
numbers, orders of operations, exponents number sentences, ratios, proportions,
percents, modeling, formulas, equations, graphs, functions, systems of equations.
Three lecture hours a week. Credit: Three hours.
MATH 5313. Geometry in the Mathematics Classroom. Topics in geometry with
an emphasis in problem solving, shapes, angles, polygons, circles, Pythagorean Theorem,
symmetry, transformations, measurement of area, volume with an emphasis on technology.
Three lecture hours a week. Credit: Three hours.
MATH 5423. History of Mathematics. A survey of the historical development
of various mathematical topics, including geometry, algebra and number theory. A study
of the work of past mathematicians, including Archimedes, Euclid, Fermat, Newton and
mathematicians of the 19th and 20th centuries. Prerequisite: Permission of the
instructor. Three lecture hours a week. Credit: Three hours.
MATH 5483. Theory of Probability and Statistics I. Basic principles of
probability; combinations and permutations; conditional probability and independence;
common discrete and continuous probability distributions, their properties and
applications. Three lecture hours a week. Credit: Three hours.
MATH 5493. Theory of Probability and Statistics II. Sampling distribution
theory and the Central Limit Theorem; point and interval estimation; hypothesis
testing. Prerequisites; MATH 5483 or equivalent. Three lecture hours a week. Credit:
Three hours.
MATH 5513. Matrix Algebra. Matrices; determinants; matrix inversion; rank
and equivalence; linear equations; eigenvalues. Prerequisite: Permission of the
instructor. Three lecture hours a week. Credit: Three hours.
MATH 5523. Introduction to Number Theory. Divisibility properties of
integers; prime numbers; congruences; multiplicative number-theoretic functions.
Prerequisite: Permission of the instructor. Three lecture hours a week. Credit: Three
hours.
MATH 5543. Symbolic Logic. Symbolic analysis of English sentences. Formal
proofs of validity via truth tables and deduction. Symbolic analysis and classification
of relations. Prerequisite: Permission of the instructor. Three lecture hours a week.
Credit: Three hours.
MATH 5563. Logic, Sets and Real Numbers. Applications of logic and set
theory to the development of the real number system. Equivalence relations will be
used to define the natural numbers and create the reals from them. Prerequisite: MATH
5543. Three lecture hours a week. Credit: Three hours.
MATH 5573. Statistical Methods I. Probability distributions, graphical
representations, curve fitting, hypothesis testing, regression and correlation,
applications. Prerequisite: Permission of the instructor. Three lecture hours a week.
Credit: Three hours.
MATH 5583. Statistical Methods II. Statistical research tools including
analysis of variance, chi-square tests, regression (simple and mulitple), logistic
regression, correlation, non parametric method, and survival analysis. Use of SPSS for
the PC. Prerequisite: MATH 5573 or MATH 1713 or consent of instructor. Three lecture
hours a week. Credit: Three hours.
MATH 5763. Methods of Numerical Computation. Iterative approximation of
polynomial roots, error analysis, linear systems, numerical differentiation and
integration, numerical solution of differential equations, optimization, least squares,
and orthogonal functions. Prerequisite: MATH 3123, CSCI 5703. Three lecture hours a
week. Credit: Three hours.
MATH 5833. Computer-Aided Mathematical Modeling. Instruction in the use
of computer-aided techniques in the mathematical modeling of biological and physical
systems. Such models included in the course are feedback models, compartmental models,
and simulation models. Also such computer software packages which are useful in the
solution of similar problems are introduced. Prerequisite: Permission of the
instructor. Three lecture hours a week. Credit: Three hours.
MATH 5903. Special Topics in Mathematics. Variable content. Three lecture
hours a week. Credit: Three hours. May be repeated for additional credit.
MATH 5913. Individual Study. Selected topics in advanced mathematics.
Credit: Three hours. May be repeated for additional credit.
MATH 5953. Cooperative Education. Cooperative work-study arrangement
between business, industry, or selected institutions with the University. Nine
laboratory hours per week. Credit: Three hours.
MATH 5973. Professional Paper. Credit: Three hours.
MATH 5983. Thesis. Credit: Three hours.
MATH 5993. Thesis. Prerequisite: MATH 5983. Credit: Three hours.
Courses of Instruction in Computer Science
CSCI 5613. Computers in Education. An introduction to
basic functioning of a computer and basic problem solving using the computer with
special attention given to the educational setting. Programming concepts are
introduced but programming is not the major focus. May not be counted as degree
credit in Department. Three lecture hours a week. Credit: Three hours. Cannot be
counted as satisfying mathematics requirements.
CSCI 5703. Computer Science I. Introductory course in basic computer
structure and programming with applications to numerical and non-numerical
computation. An interdisciplinary approach is stressed. May not be counted as
degree credit in Department. Three lecture hours a week. Credit: Three hours.
CSCI 5713. Computer Science II. Topics in data structures, information
storage and retrieval, text analysis and other more advanced concepts in computer
structure and programming. Prerequisite: CSCI 5703 or permission of instructor.
Three lecture hours a week. Credit: Three hours.
CSCI 5753. Computer Graphics. The study of computer generated graphic
images. Evaluation of current graphic hardware, software and applications.
Investigation and implementation of algorithms used to perform such graphics
functions as windowing, clipping, two- and three-dimensional transformations,
projections, and hidden line/surface removal. Prerequisite: CSCI 5713. Three
lecture hours a week. Credit: Three hours.
CSCI 5783. Computer-Assisted Instructional Systems. Introduction of
models used in computer-aided instruction. Introduction of linked-lists and
network methods for presenting information as related to CAI systems.
Prerequisite: Permission of the instructor. three lecture hours a week. Credit:
Three hours.
CSCI 5793. Statistical Computer Packages. Survey of major statistical
computation program systems with special emphasis on SPSSX and BMDP. Basic concepts
of control language and data set preparation, program execution and interpretation
of statistical program output. Prerequisite: Intermediate statistics or permission
of the instructor. Three lecture hours a week. Credit: Three hours.
CSCI 5813. Concepts of Data Warehousing and Data Mining. Review of the
basic concepts of file systems, databases, data warehousing, data mining and
related statistics. Summary of database management, modeling, design, and life
cycle is provided as related to data warehousing. Methods for extracting
information from a large database by use of data mining techniques are studied.
Techniques include: machine learning, decision algorithms, statistical modeling
and clustering. Prerequisite: CSCI 3423 and MATH 1713 or equivalent. Three lecture
hours a week. Credit: Three hours.
CSCI 5823. Modeling Machine Learning. Introduction to Widrow's LMS
Algorithm, K-Map Clustering, and various topics from genetic programming and
adaptive algorithms. Prerequisite: Permission of the Instructor. Three lecture
hours a week. Credit: Three hours.
CSCI 5843. Microcomputer Applications. Analysis of current application
software including disk operating systems, word processing, spreadsheets, databases,
graphics, communications and integrated systems. Applications to problem solving
in many disciplines will be studied. Efficiency and effectiveness of peripherals
will be critiqued. Prerequisite: CSCI 5613 or equivalent or permission of
instructor. May not be counted as degree credit in Department. Three lecture
hours a week. Credit: Three hours.
CSCI 5893. Statistical Packages II. A further survey of major
statistical computation program systems. Concepts of control language and data set
preparation, program execution and interpretation of statistical program output
will be studied. Prerequisite: CSCI 5793: Three lecture hours a week. Credit: Three
hours.
CSCI 5913. Individual Study. Selected topics in advanced computer
science. Credit: Three hours. May be repeated for additional credit.
CSCI 5921. Statistical Analysis with Computers. Exposure to available
University resources in research design and data analysis, including fully
computerized statistical analysis techniques. Appropriate for graduate students who
are at least in the proposal/prospectus phase. Prerequisite: Permission of the
instructor. May be repeated for additional credit. Credit: One hour.
CSCI 5953. Cooperative Education. Cooperative work-study arrangement
between business, industry, or selected institutions with the University. Nine
laboratory hours per week. Credit: Three hours.
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