Catalog 2008 – 09

Mathematical Sciences (MAS)


MAS 3310:

Math Concepts I
Cr. 3. (3-0). Prerequisites: MATH 1314 College Algebra. Admitted to Teacher Education.
A problem solving approach to sets, relations, numeration systems, whole numbers, number theory, integers, rational numbers as fractions, and measurement (Early Childhood-Grade 4 certification).
 

MAS 3311:

Math Concepts II
Cr. 3. (3-0). Prerequisite: MATH 1314 College and MAS 3310; Admission to Teacher Education.
A problem solving approach to decimal, percent, ratio, proportion, probability, statistics, and geometry concepts. (Early Childhood-Grade 4 certification).
 

MAS 3312:

Advanced Math Concepts
Cr. 3 (3-0) Prerequisites: MATH 1314, MATH 1350, MATH 1351. Admission to Teacher Education .
Foundations for functions, linear functions, quadratic and other functions with algebraic, graphic and tabular representations. Other algebraic and geometry concepts will be addressed. Computers, graphing calculators, and cutting edge technology will be incorporated. This course is designed specifically for students who seek middle grade (4-8) teacher certification.
 

MAS 3318:

Concepts in Math I
Cr. 3. (3-0). Prerequisites: Admission to Teacher Education, Math 1314.
Sets, whole numbers, relations, numerations systems, theory, integers, rational numbers, fractions and measurement will be addressed by a problem solving approach. Designed for EC-6 teacher candidate.
 

MAS 3320:

Concepts in Math II
Cr. 3. (3-0). Prerequisites: Admission to Teacher Education, Math 1314, MAS 3318.
Decimals, percent, ration, proportion, probability, statistic and geometry concepts will be addressed by a problem solving approach. Designed for EC-6 teacher candidate.
 

MAS 3321:

Gaming Mathematics for Non-Programmer
Cr. 3. (3-0). Prerequisites: 3 credits lower-division math and 3 credits lower-division computer programming.
Mathematics theory and application for students who pursue non-programming gaming degree. Topics include motion and computer graphics related math theories and the application of these theories to game programming and simulations.
 

MAS 3322:

Mathematics Software for Gaming
Cr. 3. (3-0). Prerequisites: MAS 3321 or MATH 1372.
Course objective is to teach the application of mathematics and physics software to gaming. Topics include introduction of gaming related math and physics software, and development of math and physics objects for gaming.
 

MAS 3343:

History of Mathematics
Cr. 3. (3-0). Prerequisite: 3 s.h. calculus.
A historical development of the mathematical sciences.
 

MAS 3347:

Operations Research
Cr. 3. (3-0). Prerequisites: Finite math; and MAS 3391, MAS 3395 or QMS 3311.
Linear programming, critical path analysis, inventory models, Monte Carlo simulation, queuing models and dynamic programming.
 

MAS 3357:

Introduction to Higher Geometry
Cr. 3. (3-0). Prerequisite: 3 s.h. of calculus or trigonometry.
Introduction to modern approaches to the development of Euclidean geometry.
 

MAS 3361:

Linear Algebra
Cr. 3. (3-0). Prerequisites: 3 s.h. of calculus, finite math or equivalent.
Vector spaces, linear transformation, representation of linear transformations by matrices, matrix algebra, determinants, systems of linear equations and eigenvalue problems with some computer applications of these concepts.

 

MAS 3362:

Discrete Structures
Cr. 3. (3-0). Prerequisite: MAS 3357 or MAS 3391 or 3 s.h. of pre-calculus or business calculus.
Mappings, relations, recurrence, logic, Boolean algebras, graphs, induction, proofs, languages, state machines, history of artificial intelligence, Turing test, and applications of these areas.
 

MAS 3391:

Probability and Statistics
Cr. 3. (3-0). Prerequisite: Pre-calculus or calculus or Finite Math and Business Calculus.
Applied statistics with probability.
 

MAS 3395:

Statistics for the Social Sciences
Cr. 3. (3-0). Prerequisite: 3 s.h. of college algebra.
Descriptive and inferential statistics used in the social sciences.
 

MAS 4300:

Selected Topics in Mathematical Sciences
Cr. 3. (3-0). Prerequisites: 6 s.h. in mathematics and consent of instructor. May be repeated with approval of school dean.
 

MAS 4302:

Independent Study
Cr. 3 per semester or more than 3 by concurrent enrollment. Prerequisites: 6 s.h. in mathematics and approval of school dean.
 

MAS 4310:

Fundamental Concepts of Analysis
Cr. 3. (3-0). Prerequisite: 8 s.h. of calculus or equivalent or permission of instructor.
Definitions of functions and limits. Introduction to continuity, differentiation, integration, sequences and series, point-set topology, sequences and series of functions, and functions of several variables.
 

MAS 4311:

Modern Algebra
Cr. 3. (3-0). Prerequisite: MAS 3362 or MAS 4310 or 8 s.h. of Calculus.
Logical structure of mathematics, proof techniques, rings, integral domains, fields, factorization, groups ideals and field extensions, applications.

 

MAS 4312:

Mathematical Programming
Cr. 3. (3-0). Prerequisite: 3 s.h. of calculus or equivalent.
Mathematical development on linear programming, sensitivity analysis, dual problem dynamic programming, probabilistic inventory models and Monte Carlo methods.

 

MAS 4351:

Mathematical Modeling
Cr. 3. (3-0). Prerequisite: Math 2315 or Math 2415(Calculus III); or MATH 2320 Differential Equations.
The modeling process; dimensional analysis and similtude. Models using proportionality, curve-fitting, experiments, optimization, simulation, and differential equations.

 

MAS 4378:

Numerical Analysis
Cr. 3. (3-0). Prerequisite: 8 s.h. of calculus.
Basic numerical methods and error analysis associated with the following topics: power series, roots of equations, systems of linear algebraic equations, interpolation, integration, finite differences and ordinary differential equations. Computer programming of selected algorithms.

 

MAS 4381:

Theory of Interest
Cr. 3. (3-0). Prerequisite: 8 s.h. of calculus.
Study of interest, compound interest, value equations, annuity functions and their application.

 

MAS 4382:

Actuarial Mathematics
Cr. 3. (3-0). Prerequisite: Math 2315 or Math 2415 (Calculus III)
Mathematics development of life contingencies, single-life, joint-life, survivor-life functions and their applications.

 

MAS 4391:

Probability and Statistics II
Cr. 3. (3-0). Prerequisite: 6 s.h. of calculus or equivalent.
Mathematical development on multivariate distribution, methods of estimation, test of hypothesis, regression and Bayesian method.

 

MAS 6300:

Selected Topics in Mathematical Sciences
Cr. 3 per semester or more than 3 by concurrent enrollment. Prerequisite: Consent of instructor. May be repeated with approval of school dean.

 

MAS 6310:

Chaos, Fractals and Dynamic Systems
Cr. 3. (3-0). Prerequisite: 7 s.h. of calculus.
Introduction to the study of dynamical systems. Topics include linear systems, fixed points, chaos, fractals and complex dynamic systems.

 

MAS 6311:

Combinatorics and Number Theory
Cr. 3. (3-0). Prerequisite: MAS 4310 or 3362 or equivalent.
Theory of numbers and combinatorics and their applications. The topics include: fundamental theorem of arithmetic, general counting methods, generating functions, recurrence, inclusion-exclusion, and network algorithms.

 

MAS 6312:

Multivariate Statistical Analysis
Cr. 3. (3-0). Prerequisite: MAS 3391 or 4391 or equivalent.
Multivariate hypothesis testing and estimation, multivariate analysis of variance, factor analysis, multidimensional scaling and principal components.

 

MAS 6313:

Abstract Algebra
Cr. 3. (3-0). Prerequisite: MAS 4310 or 3362 or equivalent.
Study of those topics that make up the core of algebra with applications. Topics include: groups, rings, fields, modules, ideals and Galois theory.

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