0300

68

Algebra Tutorial (3-0-0)

This course is intended to build and reinforce the essential arithmetical and algebraic skills needed in order to be prepared for MATH 1300. A multimedia approach is used with attention to individual needs. This course may not be used to satisfy degree requirements.

1101

TASP Tutorial (1-3-0)

Tutorial instruction designed to prepare students to pass the MATH component of the state-mandated Texas Academic Skills Program examination.

1300

Algebra (3-0-0)

A survey of pre-college algebra. Topics include operations with algebraic expressions, factoring, the Cartesian coordinate system, systems of first-degree equations in two variables solved by graphical and algebraic means, slope and distance formulas, exponents and radicals, an introduction to quadratic equations and stated problems. This course may not be used to satisfy degree requirements. (MATH 1312)

1301

68

College Algebra (3-3-0)

College-level topics in algebra including variation, systems of linear and nonlinear inequalities, functions and graphs, quadratic equations and functions, exponential and logarithmic functions and applications related to these topics. (MATH 1314)

1302

Plane Trigonometry (3-3-0)

Trigonometric functions with emphasis on identities, equations, radian measure, graphing, inverse trigonometric functions, an introduction to polar coordinates and applications related to these topics. (MATH 1316)

1305

Finite Mathematics with Applications (3-3-0)

Graphs and functions, vectors, matrices, linear programming using the Simplex method, mathematics of finance, and an introduction to probability with applications to business, economics and the social sciences. (MATH 1324)

1306

Fundamentals of Calculus with Applications (3-3-0)

Functions, limits, continuity, differentiation, integration and partial derivatives. Applications of all techniques to business, economics and the social sciences are stressed. (MATH 1325)

1310

College Mathematics for Liberal Arts (3-3-0)

An introduction to contemporary mathematical problem-solving techniques. This course cannot be applied toward any degree in the department of Computer and Mathematical Sciences; it is not the prerequisite for any CMS course. Designed for students requiring one college level mathematics course. (MATH 1332)

1404

Precalculus Mathematics (4-4-0)

Topics from plane analytic geometry needed in calculus are stressed as well as a thorough treatment of the elementary functions and their graphs; also included are the Binomial Theorem, sequences, series, mathematical induction and an introduction to limits. (MATH 2412)

1505

Introduction to Analysis (5-5-0)

Topics from trigonometry which are covered include identities, equations, radian measure, graphing, inverse trigonometric functions, polar coordinates, and applications related to these topics. Also covered are topics from analytical geometry needed in calculus, elementary functions and their graphs, the Binomial Theorem, sequences, series, mathematical induction and an introduction to limits.

2300

Introduction to Statistics (3-3-0)

Techniques for the collection, analysis and interpretation of numerical data. Probability, confidence intervals, hypothesis testing, estimation and special distributions. Special emphasis is placed on a variety of applications. Computer packages are used. This course may not be applied toward a major in the Computer and Mathematical Sciences department. (MATH 1342)

2305

Discrete Mathematics (3-3-0)

Topics include sets and functions, logic, induction and recursion, combinatorics and graph theory. (MATH 2305)

2307

Linear Algebra (3-3-0)

An introduction to some of the elementary concepts of linear algebra. Vector spaces, linear transformations, matrices, systems of linear equations, determinants, eigenvalues, numerical methods and applications. (MATH 2318)

2401

Calculus I (4-4-0)

Differentiation and integration, with related problems. Functions, limits, the derivatives of algebraic and trigonometric functions, the derivatives of parametric equations, curve sketching, applications of the derivative and an introduction to the definite and indefinite integrals of algebraic and trigonometric functions. (MATH 2413)

2402

Calculus II (4-4-0)

Topics include differentiation and integration of transcendental functions, techniques of integration, improper integrals and applications of the integral, sequences and infinite series. (MATH 2414)

2403

Calculus III (4-4-0)

Solid analytic geometry, partial derivatives, multiple integrals and line integrals. Applications of the calculus of functions of several variables are also considered. (MATH 2415)

3301

Differential Equations (3-3-0)

Ordinary differential equations, with emphasis on methods of solution of first order equations, homogeneous and non-homogeneous linear equations and systems of linear equations. Power series solutions of some linear equations and elementary applications are also covered.

3302

68

Statistics for Science and Engineering (3-3-0)

Probability and statistics useful for science and engineering applications. Topics include: probability distributions, statistical inference, estimation, testing of hypotheses, linear regression and analysis of variance. Standard statistical packages are used. Credit cannot be given for both MATH 3302 and MATH 3309.

3306

Applied Modern Algebra (3-3-0)

Topics include rings and boolean algebra, semi-groups and groups, lattices, field theory, graph theory and their applications. Applications will include: coding, networks, minimal span trees and linear machines.

3307

Intermediate Analysis (3-3-0)

A rigorous treatment of the elements of intermediate real analysis including limits, sequences and series of real numbers, properties of the real number system, continuity and differentiability of functions and basic theorems of calculus.

3308

Numerical Methods (3-3-0)

3309

Statistical Analysis for Business Applications I (3-3-0)

Basic concepts of statistics for business students are considered including descriptive statistics, probability concepts, Bayes theorem, random variables, probability distributions, expected values, point and interval estimations techniques and some hypothesis testing. Applications to a variety of business problems are stressed and computer statistical packages are used. Credit cannot be given for both MATH 3302 and MATH 3309.

3310

Statistical Analysis for Business Applications II (3-3-0)

Test of hypotheses, regression and correlation, introduction to analysis of variance, index numbers and introduction of time series and other special topics. Applications to a variety of business problems and use of computer statistical programs.

3321

Math Concepts I (3-3-0)

Topics are chosen from: logic, set theory, mathematical systems, consumer math, geometry, and statistics.

3322

Math Concepts II (3-3-0)

Topics are chosen from: number theory, measurement, estimation, problem-solving, history of mathematics with emphasis on the development of numbers, computation, and algebra. Material on twentieth century mathematics and the use of technology is also included.

3399

Directed Study in Mathematics

Selected topics in mathematics; intensive individual study under the guidance of a member of the Computer and Mathematical Sciences faculty.

4294

Senior Seminar

An intense, structured seminar. Students are exposed to the world community as it relates to their major (involving a written and oral report on cultural issues as well as discussion of these topics); ethics is discussed as it relates to the subject. In addition, students prepare a written proposal for a senior project. Attendance at departmental colloquia is also required.

4300

Statistical Quality Control (3-3-0)

Topics include x-bar and R charts, c charts, u charts, median charts, Pareto analysis, cause and effect analysis, process capability indexes and other statistical techniques.

4301

Advanced Numerical Methods for Science and Engineering (3-3-0)

4302

Advanced Multivariable Calculus (3-3-0)

Differentiability of real and vector valued functions; coordinate transformation in multiple integrals (Jacobian); line and surface integrals of real and vector-valued functions; Implicit Function Theorem; Green’s, Stoke’s and Divergence Theorems.

4303

Decision Mathematics (3-3-0)

Applications of the most useful tools of decision mathematics. Topics are selected from probabilistic models, decision models, game theory, queuing theory, PERT-CPM, inventory methods, Bayesian inference and other relevant topics.

4304

68

Methods of Applied Mathematics (3-3-0)

Major topics include: Fourier series, Laplace transforms and partial differential equations, with emphasis on physical problems.

4305

Complex Variables with Applications (3-3-0)

Analytic functions, power series, the theory of residues, conformal mapping and applications to physical problems.

4306

Mathematics Models and Computer Simulation (3-3-0)

4307

Time Series (3-3-0)

Topics include a study of auto-correlation and partial auto-correlation functions, multiplicative decomposition of a time series, construction and evolution of auto-regressive models, exponential smoothing procedures, classical regression analysis and Box-Jenkins methodology. Interpretation and computer analysis, using SAS or another appropriate package are emphasized.

4309

Design and Analysis of Experiments (3-3-0)

Principles of design and analysis of experiments including randomized blocks, Latin, Graeco-Latin and Youden squares, multiple comparisons and orthogonal contrasts. Introduction to factorial designs and split plots and use of computer statistical programs.

4310

Applied Regression (3-3-0)

Basic theory and structure of regression, with applications in business, economics, science and behavioral science. Topics are selected from: simple linear regression, correlation, multiple linear and polynomial regression, R2 and adjusted R2, significance tests multicollinearity, comparison with ANOVA, dummy variables and coding, stepwise regression, prediction and inference in regression, analysis of covariance, interactions, time series, index numbers and forecasting. Emphasis on use of computer packages and interpretation of printouts.

4311

Operations Research (3-3-0)

Applications of the most useful tools of operations research. Topics are selected from linear programming, the simplex method, the dual, the transportation model, networks, integer and dynamic programming and other topics.

4312

History of Applied Mathematics (3-3-0)

Parallel Computing (3-3-0)

4380

Field Experience

Selected students are placed in jobs in the local community which are related to and reinforce their academic training. Positions are full-time, salaried and last the duration of a semester. Recommended for students not already employed in their area of study.

4390

Selected Topics in Mathematics (3-3-0)

Intensive study of one or more major topics in mathematics. Course may be repeated for credit with department approval.

4395

Senior Project in Mathematics

Intensive study under the guidance of a member of the Computer and Mathematical Sciences faculty which culminates in an individually researched and formally written report and oral presentation dealing with the applications of the mathematical sciences in the student’s area of specialization and related to one type of business or industry in the Houston area.

4396

Senior Thesis

Intensive study under the guidance of a member of the Computer and Mathematical Sciences faculty which continues and expands the research carried out in MATH 4395. A formal written report and oral presentation will be required.

4399

Directed Study in Mathematics

Selected topics in mathematics; intensive individual study under the guidance of a member of the Computer and Mathematical Sciences faculty.