Online UST Course Catalog
Program:
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MATH 137 - Math-Elem Teachers I
Mathematics



MATH 138 - Math-Elem Teachers II
Mathematics



MATH 1000 - Mathematics Elective: Lower Division
Mathematics
Transfer credit - lower division elective.


MATH 1031 - Calculus I Lab
Mathematics
Limits, continuity, differentiation, integration and applications of both differentiation and integration. Prerequisite: Passing score on the Mathematics Placement Exam on Math 1331 or the equivalent. Fall, Spring.


MATH 1032 - Calculus II Lab
Mathematics
Transcendental functions, techniques of integration, applications of integration, parametric equations, polar coordinates, infinite sequences and series. Prerequisite: Grade of “C” or better in Math 1431. Fall, Spring.


MATH 1315 - Intermediate Algebra
Mathematics
This course is required of any student who fails the math placement exam and must be passed with a grade of 'C' or better to take any subsequent math course. Mathematics 1315 is especially designed to prepare a student for a subsequent mathematics course required by the university. This course does not satisfy the core requirement or credit requirements for graduation. Fall, Spring.


MATH 1325 - The Nature of Mathematics
Mathematics
This course is an exploration of great ideas of mathematics. The course describes the nature of mathematics and provides insights into various strategies used by mathematicians in solving problems. The course emphasizes creative and effective thinking through an introductory examination of a wide variety of topics such as number theory, geometry, infinity, topology, chaos and fractals, and decision making. Prerequisite: Acceptance in the Mendenhall Summer Institute. Co-Requisite: ENGL 1311.


MATH 1331 - Pre-Calculus Algebra & Trigonometry
Mathematics
An integrated review course in pre–calculus algebra and trigonometry covering function concepts and symbols, rectangular coordinates, linear and quadratic functions, polynomial and rational functions, trigonometric functions, inequalities, systems of equations, complex numbers and analytic geometry.


MATH 1337 - Contemporary Mathematics I
Mathematics
Set theory, numerations systems, the system of whole numbers, integers and rational numbers. Does not satisfy the University core requirement in mathematics. Prerequisite: Department Consent. Fall.


MATH 1338 - Contemporary Mathematics II
Mathematics
Basic concepts of measurement, probability and statistics, logical thinking, problem solving, graphing and informal geometry. Does not satisfy the University core requirement in mathematics. Prerequisite: Department Consent. Spring.


MATH 1351 - Finite Mathematics
Mathematics
Topics from contemporary mathematics, their development, applications and role in society. Some typical topics, to be chosen by the instructor, include graph theory, mathematical finance, critical path analysis, statistical inference, coding, game theory and symmetry. Applications are in the management, natural and social sciences.


MATH 1353 - Mathematics for Economics and Business
Mathematics
Mathematics of finance, linear equations, inequalities and mathematical models with emphasis on applications.


MATH 1354 - Computer-Aided Design (CAD)
Mathematics
This course will provides fundamentals of engineering graphics to include use of scales, orthographic projections, primary auxiliary views, sectional views, fastener notes, dimensioning and tolerance. This course also provides the student a strong foundation in utilizing Auto-Cad through drawings applied to civil and mechanical engineering disciplines.


MATH 1425 - Success Through Enhancement of Mathematical Skills (STEMS)
Mathematics
Topics covered will include numerical evaluation of logarithms and the use of methods for working with them, the interpretation and manipulation of numbers in scientific notation; trigonometric functions; the quantitative interpretation and generation of graphs; the evaluation of ratios of numbers with integer exponents; the simplification of rational expressions, and the use of percentages; estimation methods without the use of calculators; dimensional analysis; trigonometric functions. The course emphasizes creative and effective problem solving techniques in a real world context and an enhancement of mathematical skills leading to greater achievement in STEM (Science, Engineering, Technology and Mathematics) courses. Prerequisite: Acceptance in the Mendenhall Summer Institute. Co-requisite: UNIV 1201.


MATH 1431 - Calculus I
Mathematics
Limits, continuity, differentiation, integration and applications of both differentiation and integration.


MATH 1432 - Calculus II
Mathematics
Transcendental functions, techniques of integration, applications of integration, parametric equations, polar coordinates, infinite sequences and series. Prerequisite: Grade of “C” or better in MATH 1431.


MATH 1999 - Mathematics Core: Lower Division
Mathematics
Transfer credit - lower division core.


MATH 2330 - Introduction to Statistics for Nursing Research
Mathematics
Provides students with the methods and logic to perform elementary statistical analysis used in clinical research including: descriptive meansures, probability, sampling, normal distribution, Student t and Chi squared distributions, estimation and hypothesis testing, analysis of variance, regression and correlation.


MATH 2338 - Introduction to Technical Computing
Mathematics
Students are introduced to the application of computers to engineering and scientific problems using modern computational packages and a high level programming language. Data representation, software design and utilization, structured programming and numerical algorithms are introduced through student programming projects. Prerequisite: MATH 1431. Fall.


MATH 2340 - A Transition to Mathematics
Mathematics
Methods of proof (direct, contradiction, conditional, contraposition); valid and invalid arguments. Examples from set theory. Quantified statements and their arguments. Functions, indexed sets, set functions. Proofs in number theory, algebra, geometry and analysis. Proofs by induction. Equivalence and well–defined operations and functions. The axiomatic method. Prerequisite: MATH 1432 with a grade of "C" or better.


MATH 2343 - Differential Equations I
Mathematics
Basic concepts, theory, methods, and applications of ordinary differential equations. Prerequisite: MATH 1432 with a grade of "C" or better.


MATH 2344 - Mathematicss for Engineering I with Matlab Applications
Mathematics
In this course, the student will learn the fundamentals of linear algebra and grogramming within Matlab. The student will then go on to understanding how to solve linear ordinary differential equations (ODEs) of linear ODEs. The student will then apply this knowledge to solving dynamic systems associated with environmental engineering, chemical engineering, mechanical engineering, civil engineering and electrical engineering.


MATH 2431 - Calculus III
Mathematics
Vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, Green’s Theorem, curl and divergence, Stokes’ Theorem, The Divergence Theorem. Prerequisite: MATH 1432 with a grade of “C” or better.


MATH 2434 - Applied Statistical Concepts
Mathematics
Data collection and experimental design, descriptive statistics, confidence intervals, parametric and nonparametric one and two–sample hypothesis tests, analysis of variance, correlation, simple and multiple linear regression, chi–square tests. Not open to students with credit in MATH 3332 or MATH 3430. This course may not be used as part of the mathematics courses required of mathematics majors.


MATH 2435 - Introduction to Statistical and Quantitative Analysis
Mathematics
An introduction to quantitative and statistical analyses focusing on applications of algebraic and statistical methods. Topics to be covered include functions and graphs, break-even analysis, descriptive statistics, probability distributions, estimation, simple linear regression and basic hypothesis testing will be covered. This course may not be used as part of the mathematics courses required of mathematics majors.


MATH 2437 - Contemporary Mathematics for Elementary Teachers
Mathematics
A modern approach to the mathematics commonly taught to young children. Theoretic bases for computation and measurement are established. The geometric properties of shapes and solids are explored both visually and through computations. The basics of theoretical and empirical probability are developed using models and manipulatives. Additional topics such as problem solving algorithms, elementary logic and statistics are introduced. Prerequisites: successful completion of a University core mathematics course. Does not satisfy the University core requirements in mathematics.


MATH 3000 - Mathematics Elective: Upper Division
Mathematics



MATH 3050 - Biostatistics I: Recitation
Mathematics
This course may be paired with a current MATH course or taken with departmental approval. This course is not for credit. Prerequisite: Enrollment in paired MATH course or departmental approval.


MATH 3110 - Readings in Mathematics
Mathematics



MATH 3133 - Electrical Circuits Laboratory
Mathematics
A laboratory accompanying Electrical Circuits (MATH 3333) will cover basic material such as Ohm's and Kirchoff's laws, go on to explore temperature sensors and OP Amps, strain gauges, passive and active filters, and finish on programming PLCs. The course Math 3333 and laboratory MATH 3133 provide a sound foundation in mechatronics, which is the application of computers and electrical and electronic principles to mechanical systems.


MATH 3148 - Fluid Mechanics Laboratory
Mathematics
Fluid Mechanics experiments will be conducted in conservation principles, viscosity, open channel flow, viscous flow, and gas dynamics. The emphasis of the course is to understand fundamentals through laboratory experiments. Co-requisite MATH 3348; Pre-requisite MATH 2431.


MATH 3193 - Special Topics in Mathematics
Mathematics
Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent.


MATH 3293 - Special Topics in Mathematics
Mathematics
Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent.


MATH 3322 - Advanced Calculus
Mathematics
A rigorous treatment of calculus. Prerequisites: MATH 2340, 2431.


MATH 3332 - Elementary Statistical Methods for Economics & Business
Mathematics
Basic concepts of statistics with emphasis on statistical inference. Sampling and experimentation, descriptive statistics, confidence intervals, probability, two–sample hypothesis tests for means and proportions, Chi–squared tests, linear and multiple regressions, analysis of variance. Not open to students with credit in MATH 2434 or 3430. This course may not be used as part of the upper–division mathematics courses required of mathematics majors.


MATH 3332L - Elementary Statistics: Lower Division
Mathematics



MATH 3333 - Electrical Circuits
Mathematics
Electrical circuit laws and theorems, natural and forced response to DC and AC excitation, transfer functions, systems analysis, transformers, electromechanics, power generation and distribution. Prerequisites: PHYS 2334 and MATH 2343.


MATH 3334 - Linear Algebra I
Mathematics
Matrices, inverses, linear systems, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, inner product spaces, Fourier series and orthogonal bases. Prerequisite: MATH 1432.


MATH 3335 - A First Course in Probability
Mathematics
An elementary introduction to the mathematical theory of probability for students of mathematics, engineering and the sciences (including the social sciences and management science). Topics include combinatorial analysis, axioms of probability, conditional probability and independence, and random variables. Prerequisite: MATH 1432.


MATH 3336 - Thermodynamics
Mathematics
(PHYS 3336) Fundamental properties of heat, work and energy. Analysis of thermodynamics systems, control–volume analysis and the mathematical modeling of energy transfer systems. Prerequisites: CHEM 1342, MATH 2431, PHYS 2333.


MATH 3337 - Modern Geometry
Mathematics
A study of the foundations of Euclidean geometry; non–Euclidean geometry. Prerequisite: Successful completion of a University core mathematics course.


MATH 3339 - Topics in Numerical Analysis
Mathematics
Numerical algorithms as applied to differential and integral calculus; stability and convergence of methods with error estimates. Prerequisites: COMSC 1450 and MATH 1431.


MATH 3341 - Mechanics I (Statics)
Mathematics
(PHYS 3341) The concepts of force, momentum, balance and friction are used in the application of vector algebra and the calculus to the modeling and analysis of force systems, free–body diagrams and the equilibrium states of rigid bodies. Prerequisites: PHYS 2333, MATH 2431.


MATH 3342 - Mechanics II (Dynamics)
Mathematics
(PHYS 3342) The concepts of force, acceleration, work, energy, impulse, momentum and vibration are used in the application of vector and differential equations to the modeling and analysis of particle kinetics, planar and three–dimensional particle kinematics, and the behavior of rigid bodies. Prerequisite: MATH 3341.


MATH 3343 - Differential Equations II
Mathematics
Continuation of Math 2343. Power series solutions of differential equations and Bessel functions, Fourier series and transforms, matrices, systems of differential equations, introduction to generalized functions. Recommended for students interested in applications of mathematics and engineering. Prerequisite: MATH 2343.


MATH 3346 - History of Mathematics
Mathematics
Evolution of mathematics from earliest to modern times. Major tends in mathematical thought, the interplay of mathematical and technological innovations, and the contributions of great mathematicians. Appropriate for prospective and in–service teachers. Prerequisite: Successful completion of a University core mathematics course.


MATH 3347 - Strength of Materials
Mathematics
This course is the study of stresses and insuring for a given geometry and loading case that stresses are maintained below an acceptable level. Stresses discussed include bending stress, shear stress, axial stress, and combined stressed to include Mohr's circle. Design of both beams and columns will be discussed. There is some mention of composite materials and stress concentrations. Prerequisites: Math 2431


MATH 3348 - Fluid Mechanics
Mathematics
This courses provides a basis in conservation principles applied to fluid systems, fluid statics, dimensional analysis, viscous flow, open channel flow, and an understanding of turbomachinery. One aspect of the course is the use of Excel to solve several nonlinear problems that arise in the study of fluid mechanics. Co-requisite MATH 3148; Prerequisite: MATH 2431


MATH 3349 - Engineering Design
Mathematics
This course provides a basis in engineering communications through learning Auto-Cad and Solid Works and goes on to develop an engineering design project. The engineering design project additionally involves engineering, scheduling and economic considerations to form a design decision.


MATH 3354 - Mathematics for Engineering II with Matlab Applications
Mathematics
This course applies advanced mathematical techniques such as Laplace transformations, Fourier series, linear programming, and nonlinear optimization to a broad array of engineering problems to include classic partial differential equations in heat transfer, engineering optimization problems, and AC circuit analysis from electrical engineering. Execution of projects will be done through Matlab.


MATH 3360 - Discrete Mathematics
Mathematics
Analysis topics chosen at the discretion of the instructor from logic, set theory, combinatorics, and graph theory. Methods of enumerative combinatorics: sum, product, and division rules, bijective and recursive techniques, inclusion and exclusion, generating functions, and the finite difference calculus. Advanced topics to be selected from the theory of partitions, Polya theory, designs, and codes, graphs and trees with applications including games of complete information. Combinatorial existence theorems, Ramsey’s theorem. Prerequisite: MATH 1431.


MATH 3371 - Introduction to Data Analytics
Mathematics
Data analytics is a process that turns data into usable information for answering questions. This course will introduce the process of acquiring, managing and analyzing data. Readily available real-world data sets will be analyzed using supervised and unsupervised learning methods. Prerequisite: MATH 2435, MATH 3332, MATH 3450 or PSYC 3433.


MATH 3372 - Data Visualization
Mathematics
Appropriate visualizations of data are a key to revealing patterns and communicating important findings in research. This course will build on statistical and analytical thinking by emphasizing the role and use of visualizations in the analysis of data. Theories, techniques and software for managing, exploring, analyzing, displaying and communicating information about various types of data will be introduced. Visualizations will be produced using readily available real-world data sets. Prerequisites: MATH 2435, or MATH 3332, or MATH 3450, or PSYC 3433, or instructor approval.


MATH 3393 - Special Topics in Mathematics
Mathematics
Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent.


MATH 3450 - Biostatistics I
Mathematics
Basic concepts leading to advanced applications in biostatistics. Topics include study design, data collection, descriptive statistics, probability and probability distributions, confidence intervals, hypothesis testing, power of statistical tests, and simple regression with an emphasis on applications in the biomedical sciences and biomedical research. Data will be analyzed using statistical software packages. Students may be required to register for MATH 1050 for this course.


MATH 3493 - Special Topics in Mathematics
Mathematics
Junior division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: Department Consent.


MATH 3999 - Mathematics Core: Upper Division
Mathematics



MATH 4181 - Senior Seminar
Mathematics
Written and oral analysis and presentations by students on topics from mathematics. Student research projects.


MATH 4192 - Directed Reading/Independent Study in Mathematics
Mathematics
Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: consent of chair.


MATH 4193 - Special Topics in Mathematics
Mathematics
Upper–division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: consent of chair.


MATH 4292 - Directed Reading/Independent Study in Mathematics
Mathematics
Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: consent of chair.


MATH 4293 - Special Topics in Mathematics
Mathematics
Upper–division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: consent of chair.


MATH 4331 - Real Analysis I
Mathematics
Introduction to concepts and methods basic to real analysis. Topics such as the real number system, sequences, continuity, uniform continuity, differentiation, infinite series and integration. Prerequisite: Math 2340.


MATH 4332 - Real Analysis II
Mathematics
Continuation of Math 4331 covering such topics as uniform convergence and functions of several variables. Strongly recommended for students planning to enter graduate school or secondary teaching and those interested in applied mathematics. Prerequisite: MATH 4331.


MATH 4335 - Topology
Mathematics
The basics of point–set topology. Open and closed sets, limit points, topological spaces, countability, compactness, connectedness, metrics and metric topologies. Prerequisite: MATH 2340.


MATH 4336 - Complex Analysis
Mathematics
Calculus of a function of a complex variable. Prerequisite: MATH 1432.


MATH 4338 - Abstract Algebra I
Mathematics
Fundamental algebraic systems including groups, rings and fields. The structure of a system as a set with its operations and relationships between systems. Prerequisite: MATH 2340.


MATH 4339 - Abstract Algebra II
Mathematics
Direct products, Sylow theory, ideals, extensions of rings, factorization of ring elements, modules, and Galois theory. Prerequisite: MATH 4338.


MATH 4341 - Linear Algebra II
Mathematics
Continuation of Math 2341. Linear transformations and similarity, eigenvalues and diagonalization, complex vector spaces, unitary and self–adjoing matrices, Spectral Theorem, Jordon canonical form. Selected topics in linear programming, convexity, numerical methods, and functional analysis. Prerequisites: MATH 3334.


MATH 4343 - Introduction to Partial Differential Equations
Mathematics
Mathematical formulation of physical laws. Existence and uniqueness for Cauchy and Dirichlet problems; classification of equations; potential–theoretic methods; other topics at the discretion of the instructor. Recommended for students interested in applications of mathematics and engineering. Prerequisite: MATH 2343.


MATH 4344 - Mathematical Modeling
Mathematics
This course provides an introduction to developing mathematics models from real world situations through discussion of a series of examples, and hands-on exercises and projects that make use of a range of continuous and discrete mathematical tools.


MATH 4350 - Biostatistics II
Mathematics
Application and extension of Biostatistics I with a focus on advanced statistical concepts which recur in biomedical research literature; multiple regression, logistic regression and survival analysis. Other topics may include time series analysis and clinical trials. Practival experience with the widely used statistical research software package R. Emphasis on realistic data typically encountered in applications of biostatistics.


MATH 4370 - Capstone Project
Mathematics
The student will work with faculty supervision and undertake a research project. The project will culminate in a tangible product such as a paper, a presentation or a research poster.


MATH 4381 - Advance Topics in Applied Statistics
Mathematics
Advanced methods and/or applications of material learned in statistics courses. May be repeated for credit.


MATH 4391 - Internship in Mathematics
Mathematics



MATH 4392 - Directed Reading/Independent Study in Mathematics
Mathematics
Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: consent of chair.


MATH 4393 - Special Topics in Mathematics
Mathematics
Upper–division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: consent of chair.


MATH 4492 - Directed Reading/Independent Study in Mathematics
Mathematics
Student research on a selected problem in the field pursued under the guidance of an assigned member of the faculty. Prerequisite: consent of chair.


MATH 4493 - Special Topics in Mathematics
Mathematics
Upper–division treatment of selected topics of mutual interest to the faculty member and students. Prerequisite: consent of chair.




Course Catalogs