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0300
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114
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Algebra Tutorial (3-0-0)
Prerequisite: Students are placed in MATH 0300 based on placement test results, taken at UH-Downtown.
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. |
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1101
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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. |
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1300
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Algebra (3-0-0)
Prerequisite: A grade of “C” or better in MATH 0300, placement by exam taken at UH-Downtown or a passing score on the mathematics portion of TASP.
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) |
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1301
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College Algebra (3-3-0)
Prerequisite: A grade of “C” or better in MATH 1300 or placement by exam taken at UH-Downtown.
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) |
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1302
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Plane Trigonometry (3-3-0)
Prerequisite: A grade of “C” or better in MATH 1301 or placement by exam taken at UH-Downtown.
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) |
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1305
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Finite Mathematics with Applications (3-3-0)
Prerequisite: A grade of “C” or better in MATH 1301 or placement by exam taken at UH-Downtown.
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) |
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1306
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Fundamentals of Calculus with Applications (3-3-0)
Prerequisite: A grade of “C” or better in MATH 1301 or placement by exam taken at UH-Downtown.
Functions, limits, continuity, differentiation, integration and partial derivatives. Applications of all techniques to business, economics and the social sciences are stressed. (MATH 1325) |
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1310
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College Mathematics for Liberal Arts (3-3-0)
Prerequisite: A grade of “C” or better in MATH 1300 or placement by exam taken at UH-Downtown.
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) |
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1404
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Precalculus Mathematics (4-4-0)
Prerequisite: A grade of “C” or better in MATH 1302 or placement by exam taken at UH-Downtown.
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) |
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1505
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Introduction to Analysis (5-5-0)
Prerequisite: Department approval and a grade of “B” or better in MATH 1301.
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. |
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2300
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Introduction to Statistics (3-3-0)
Prerequisite: A grade of “C” or better in MATH 1301 or placement by exam taken at UH-Downtown.
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) |
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2305
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Discrete Mathematics (3-3-0)
Prerequisites: A grade of “C” or better in MATH 1404 or MATH 1305 or MATH 1505 and credit or enrollment in CS 1408 or CS 1410.
Topics include sets, relations, and functions, logic, methods of proofs, induction and recursion, counting principles, combinatorics and graphs with emphasis on application. (MATH 2305) |
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2307
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115
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Linear Algebra (3-3-0)
Prerequisites: A grade of “C” or better in MATH 2401 or MATH 2305.
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) |
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2401
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Calculus I (4-4-0)
Prerequisite: A grade of “C” or better in MATH 1404 or 1505 or placement by exam, taken at UH-Downtown.
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) |
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2402
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Calculus II (4-4-0)
Prerequisite: A grade of “C” or better in MATH 2401.
Topics include differentiation and integration of transcendental functions, techniques of integration, improper integrals and applications of the integral, sequences and infinite series. (MATH 2414) |
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2403
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Calculus III (4-4-0)
Prerequisite: A grade of “C” or better in MATH 2402.
Solid analytic geometry, partial derivatives, multiple integrals and line integrals. Applications of the calculus of functions of several variables are also considered. (MATH 2415) |
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3301
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Differential Equations (3-3-0)
Prerequisites: A grade of “C” or better in MATH 2401 and MATH 2402. Credit or enrollment in MATH 2307 is recommended.
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. |
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3302
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Statistics for Science and Engineering (3-3-0)
Prerequisite: A grade of “C” or better in MATH 2401.
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. |
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3303
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Geometry (3-3-0)
Prerequisite: “C” or better in MATH 1301 and junior standing.
Topics selected from: properties of angles, lines, triangles, polygons, polyhedra, circles, similarity and congruency of triangles, area perimeter, surface area, volume geometric constructions, transformations, tessellation, investigating patterns in geometry for problem solving, the Pythagorean Theorem, the coordinate plane and an introduction to geometric proofs. This course is primarily designed for Education majors. |
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3306
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Applied Modern Algebra (3-3-0)
Prerequisites: A grade of “C” or better in MATH 2305 and MATH 2307.
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. |
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3307
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Intermediate Analysis (3-3-0)
Prerequisites: A grade of “C” or better in MATH 2307 and MATH 2403.
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. |
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3308
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Numerical Methods (3-3-0)
See CS 3308.
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3309
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Statistical Analysis for Business Applications I (3-3-0)
Prerequisites: MATH 1305 and MATH 1306.
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. |
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3310
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Statistical Analysis for Business Applications II (3-3-0)
Prerequisite: MATH 3309 or department approval.
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. |
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3321
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Math Concepts I (3-3-0)
Prerequisites: Math 1301 or Math 1310 with grade of “C” or better. Restricted to students in Urban Education or permission of CMS department chair.
Topics are chosen from: logic, set theory, mathematical systems, consumer math, geometry, and statistics. |
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3322
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Math Concepts II (3-3-0)
Prerequisites: Math 1301 or Math 1310 with grade of “C” or better. Restricted to students in Urban Education or permission of CMS department chair.
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. |
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3330
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116
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Introduction to Geometric Modeling (3-3-0)
See CS 3330.
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3399
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Directed Study in Mathematics
Prerequisite: Formal approval by department chair and dean.
Selected topics in mathematics; intensive individual study under the guidance of a member of the Computer and Mathematical Sciences faculty. |
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4294
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Senior Seminar
Prerequisites: Advanced standing, ENG 3302, SPCH 1304, departmental approval and passing score on the writing proficiency exam.
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. |
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4300
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Statistical Quality Control (3-3-0)
Prerequisite: A grade of “C” or better in MATH 3302 or MATH 3309.
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. |
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4301
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Advanced Numerical Methods for Science and Engineering (3-3-0)
See CS 4301.
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4302
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Advanced Multivariable Calculus (3-3-0)
Prerequisites: MATH 2307 and MATH 2403.
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. |
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4303
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Decision Mathematics (3-3-0)
Prerequisite: A grade of “C” or better in MATH 3302 or MATH 3310.
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. |
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4304
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Methods of Applied Mathematics (3-3-0)
Prerequisites: A grade of “C” or better in MATH 2403 and MATH 3301.
Major topics include: Fourier series, Laplace transforms and partial differential equations, with emphasis on physical problems. |
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4305
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Complex Variables with Applications (3-3-0)
Prerequisites: A grade of “C” or better in MATH 2403 and MATH 3301.
Analytic functions, power series, the theory of residues, conformal mapping and applications to physical problems. |
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4306
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Mathematics Models and Computer Simulation (3-3-0)
See CS 4306.
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4307
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Time Series (3-3-0)
Prerequisite: A grade of “C” or better in MATH 3302 or MATH 3309.
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. |
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4309
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Design and Analysis of Experiments (3-3-0)
Prerequisite: A grade of “C” or better in MATH 3302 or MATH 3310.
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. |
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4310
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Applied Regression (3-3-0)
Prerequisite: A grade of “C” or better in MATH 3302 or MATH 3310.
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. |
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4311
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Operations Research (3-3-0)
Prerequisites: A “C” or better in: MATH 1305 and MATH 3309; or MATH 2307.
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. |
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4312
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History of Applied Mathematics (3-3-0)
See CS 4312.
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4328
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Parallel Computing (3-3-0)
See CS 4328.
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4333
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Parallel Computing (3-3-0)
See CS 4333.
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4380
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117
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Theory and Application of Neural Nets (3-3-0)
Prerequisites: At least 60 semester hours and department approval and “B” or better in 6 hours of upper level math.
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. |
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4390
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Selected Topics in Mathematics (3-3-0)
Prerequisite: Department approval.
Intensive study of one or more major topics in mathematics. Course may be repeated for credit with department approval. |
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4395
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Senior Project in Mathematics
Prerequisites: “B” or better in MATH 4294; ENG 3302, SPCH 1304, senior standing and department approval. Requires GPA of 3.0 or better.
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. |
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4396
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Senior Thesis
Prerequisite: Formal approval of department chair and the student’s advisor for MATH 4395.
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. |
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4399
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Directed Study in Mathematics
Prerequisite: Formal approval by department chair and dean.
Selected topics in mathematics; intensive individual study under the guidance of a member of the Computer and Mathematical Sciences faculty. |
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