Course Catalog

Mathematics  
List of all courses and their descriptions
List of all courses, their descriptions and offerings in the schedule book

ENGR2090 - Appl Engineering Statistics II
Spring 2014

emphasizes the application of statistical techniques in this continuation of QS208 Applied Engineering Statistics I. Simple and multiple regression is studied along with analysis of variance. Chi-square goodness of fit tests are studied including the test for independence in a contingency table. Control charts are presented and studied. All techniques are examined from the data collection and analysis stages through the presentation of final results. Throughout the process, computer analysis is employed. 3 credits
Prerequisite: QS208
3 Credits

MATH0900 - Intro To College Mathematics
Spring 2014

QS099 Modern Elementary College Algebra. This course is an introductory course presenting the principles of elementary algebra. Topics covered include the real number system, linear equations and inequalities, factoring, operations with polynomials, exponents and radicals, and an introduction to functions and the Cartesian coordinate system. Placement into this course is done through the placement testing program. (3 credits)
3 Credits

MATH1010 - College Mathematics
Spring 2014

QS101 College Mathematics I. This course is a comprehensive study of college algebra topics utilizing the TI-83 calculator wherever possible. Emphasis is placed on the solution and graphing of linear, quadratic, exponential, and logarithmic functions. Systems of equations and inequalities are presented as they relate to linear programming. The TI-83 graphing calculator is required.
Prerequisite: MATH0900 or content evidence by placement examination
3 Credits

MATH1020 - Pre-Calculus
Spring 2014

QS102 College Mathematics II. This is a course for students wishing further study in algebra and trigonometry. This course emphasizes the function concept and includes topics of circular and trigonometric functions, theory of equations, matrices and determinants, vectors, complex numbers, and sequences and series. The TI-83 (or higher) graphing calculator is required.
Prerequisite: MATH1010 or content evidence by placement examination
3 Credits

MATH1050 - Math Reasoning/Applications
Spring 2014

QS105 Mathematical Reasoning and Applications. This course aids the student to be cognizant of the vocabulary and mathematical skills necessary to develop quantitative reasoning skills for the general liberal arts major. It takes the view that modern mathematics has become an art of posing and solving problems by logical reasoning by understanding the problem, devising a plan, and carrying out the plan. The course accomplishes these tasks by dealing with the following topics: algebra, geometry, probability and statistics, set theory, finite groups, graph theory, and basic logic. Computer applications throughout the course may be included.
Prerequisite: MATH0900 or content evidence by placement examination.
3 Credits

MATH2010 - Fundamentals Of Mathematics
Spring 2014

This course is designed to give elementary education majors the mathematical foundation for early mathematics. Fundamental topics in geometry, measurement, estimation, numeration, number systems, number relations, fractions, decimals, statistics, and probability will be covered. The National Council of Teachers of Mathematics' Curriculum and Evaluation Standards for Grades K-8 and the integration of technology will also be a focus.
Prerequisite: MATH1010 or MATH1050
3 Credits

MATH2040 - Finite Math & Applied Calculus
Spring 2014

MATH2040 Finite Mathematics and Applied Calculus is directed toward students in the bachelor of science in business administration and other disciplines outside of the School of Engineering Math and Science. Topics covered include systems of linear equations, matrices, linear programming, differential calculus, exponential functions and the mathematics of finance. The primary focus is the application of each of these topics. The graphing calculator (TI83) is used throughout the course to discover and to gain insights into the fundamental concepts. 3 credits
Prerequisite: MATH1010 or MATH1020 or content evidence by placement examination.
3 Credits

MATH2050 - Applied Calculus I
Spring 2014

This course introduces students to the basic ideas of calculus. Topics covered include functions and graphs; differentiation, integration, and optimization of algebraic, exponential, and logarithmic functions of one independent variable; cost revenue and profit functions along with elasticity of demand and consumer surplus; and exponential growth and decay. The graphing calculator (TI83) is used throughout the course to discover and to gain insights into the fundamental concepts of calculus.
Prerequisite -- MATH1010 or Advanced Placement
3 Credits

MATH2070 - Calculus W/Analytic Geom I
Spring 2014

This is the first in a three-course calculus sequence. Topics covered include limits, continuity, derivatives, rules for derivation, applications, and related rates; optimization techniques for extrema including Rolle's and mean value theorems; first and second derivative tests; curve sketching; differentials and indefinite integrals; Riemann Sums; integration techniques, and the Fundamental Theorem of Calculus. The TI-83 (or higher) graphing calculator is required.
Prerequisite: MATH1020 or content evidence by placement examination
4 Credits

MATH2170 - Calculus W/Analytic Geom II
Spring 2014

This is the second course in a three-course calculus sequence. Topics covered include applications of the integral; area between curves; solids of revolution; moments and centroids; logarithmic and exponential functions; indeterminate forms; derivatives and integrals of trigonometric and inverse trigonometric functions; integration techniques and improper integrals; infinite series and sequences including Taylor and Maclaurin series.
Prerequisite: MATH2070
4 Credits

MATH3030 - Operations Research I
Spring 2014

This course introduces students to quantitative methods and applications in business decision-making. The quantitative models studied in this course include matrix models, the Leontief input/output model, Markov chains, linear programming with shadow pricing and sensitivity analysis, transportation and assignment algorithms, and network models. Computer software is used as a practical implementation of these models. This course is usually offered only in the winter term.
Prerequisites: STAT2110 or STAT3140 and MATH2070
3 Credits

MATH3040 - Operations Research II
Spring 2014

This course presents quantitative methods and business applications, most of which require a basic knowledge of probability and statistics. The topics of study include PERT/CPM, inventory control models, queuing systems, introduction to time series and forecasting, and introduction to simulation and Monte Carlo methods. Computer software is used as a practical implementation of the various models. This course is usually offered in the fall term.
Prerequisite: MATH3030 (QS303)
3 Credits

MATH3060 - Applied Calculus II
Spring 2014

This course uses the basic ideas of QS305 for business and economic applications. Topics covered include techniques of integration, partial differentiation, double integration, and optimization of functions of two or more independent variables; Lagrangian multipliers for constrained optima; areas and volumes of revolution; economic order quantity and production lot size methods; and regression and probability using calculus. This course is usually offered only in the winter term.
Prerequisites: MATH2050, MATH2070 (QS205 or 207 (3 credits))
3 Credits

MATH3090 - Calculus W/Analytic Geom III
Spring 2014

This course is the third in a three-course calculus sequence. Topics covered include conic sections, plane curves, parametric equations, vectors and curves in the plane, dot and cross products, applications, target and normal vectors, functions of several variables, partial derivatives, gradients, extrema of function of two variables, Lagrange multiples, multiple integrals, polar, cylindrical, and spherical coordinates. Software proficiency in word processing is required.
Prerequisite: MATH2170 or equivalent.
4 Credits

MATH3200 - Geometry
Spring 2014

This is a course designed primarily for students majoring in applied mathematics with teacher certification. Topics covered include classical Euclidean geometry, theorems of Ceva and Menelaus, varied sets of axioms, analytic and transformational geometry, non-Euclidean, and projective geometry. Finite geometries including nine point geometry of a circle and 25 point geometry are investigated. Software proficiency in word processing is required.
Prerequisites: MATH2170 and COSK2220
3 Credits

MATH3250 - Practicum Tchng Math With Tech
Spring 2014

This course is designed to train students in the use of computer software, CD-ROM technology, and the graphing calculator for the teaching of mathematics and to allow these students to act as technology assistants in computer laboratories and as trainers of math tutors. Emphasis is placed on the use of the TI-83 graphing calculator in algebra, calculus, and finance, on the use of Excel software in statistics, and on CD-ROM technology used in elementary algebra. Training in the use of the equation editor in Microsoft Word will also be provided. Students are required to complete a minimum number of hours of tutor training and/or computer lab assisting and to review current mathematics software packages for secondary and post-secondary settings.
Prerequisites: STAT2110 and MATH2070 with a grade of C or better.
3 Credits

MATH3400 - Linear Algebra W/Applications
Spring 2014

This is a course designed for students with majors in several mathematics related areas. Topics covered include matrices, operations with matrices, inverses of matrices, singular and nonsingular matrices, determinants, cofactors, Cramer's rule, vectors and vector spaces, independence, basis and dimension, orthagonality, Gram Schmidt process, linear transformations, Eigen values, and Eigen vectors. Applications include linear programming, Markov chains, quadratic forms, theory of games, least squares, and linear economic models.
Prerequisites: MATH2070 and COSK2220 or COSK2225
3 Credits

MATH3420 - Differential Equations
Spring 2014

This is a course is designed primarily for students majoring in engineering, mathmatics, and other physical sciences. Topics covered include first and second order differential equations, boundry value problems, and methods of solution involving calculus, infinite series, Laplace transforms, and numeric procedures.
Prerequisite: MATH2170
3 Credits

MATH3440 - Intro To Real Analysis
Spring 2014

The rigorous development of calculus in a single variable is the content of the course. The theory is developed entirely from a small number of axioms for the real number system and intuitive set-theoretic concepts. Lectures emphasize the construction of rigorous arguments in analysis and the communication of mathematical proofs. This course is recommended for students in mathmatics, mathmatics education, actuarial science, engineering, and the physical sciences. Topics covered include the real number system, limits, continuity, differentiation, the Riemann integral, and sequences and series of functions. 3 credits
Prerequisite: MATH2170
3 Credits

MATH4000 - Discrete Math
Spring 2014

This course is an introductory course for anyone interested in mathematical structures with emphasis on computer implementation. The course includes topics such as propositional calculus, set theoretic concepts, relations and functions, mathematical induction, recursion, combinatorics, matrices, graphs, trees, their branching, leaves, and how to climb them (i.e. tree traversals). (3 credits)
Prerequisites: MATH2070 and COSK2220 or COSK2225
3 Credits

MATH4050 - Abstract Algebra/Number Theory
Spring 2014

This course introduces students to the basic ideas of abstract algebra and number theory. Topics covered in number theory include mathematical induction, divisibility algorithms, factorization methods, primes, congruences, and Diophantine equations. Topics covered in abstract algebra include binary and equivalence relations, groups and subgroups, isomorphisms and homorphisms, rings, and ideals.
Prerequisite: MATH2170
3 Credits

MATH4200 - Intro To Stochastic Processes
Spring 2014

This course introduces various techniques of modeling a variety of real world problems. The techniques cover a spectrum of discrete and continuous, linear and non-linear models and illustrate the use of mathematical software as an aid to simulating and testing models. Applications will come from such diverse areas as production planning, finance, transportation, environmental and health related issues.
Prerequisites: MATH2070, STAT3140 and MATH3400
3 Credits

MATH4250 - Multivariable Systems Analysis
Spring 2014

This course is directed to the application major in the areas of applied mathematics, quantitative sciences, marketing, economics, and others who need a firm foundation in multivariable statistics with applications. The course includes a brief introduction to hypothesis testing and internal estimation, simple and multiple regression analysis techniques, model building using classical stepwise regression, forward selections, backward elimination, auto correlation, and Durbin-Watson tests. Multiple regression and factor analysis techniques applied to analysis of variance and experimental design are emphasized. Applications to sample survey, sampling techniques, and sample size calculation via power analysis in econometrics and market research cases are developed throughout the course.
Prerequisite: MATH3140
3 Credits

MATH4903 - Internship/Co-Op
Spring 2014

Course description unavailable, please contact Academic Services.
Please try again at a later time
3 Credits

MATH4909 - Internship/Co-Op
Spring 2014

Course description unavailable, please contact Academic Services.
Please try again at a later time
9 Credits

STAT4400 - Statistical Software Applicatn
Spring 2014

This course emphasizes the use of computer technology and quantitative methods in statistical analysis and in the managerial decision making process. Most of the course concentrates on SAS (Statistical Analysis System), including basic terminology and logic, simple tasks and statistics, reading and analyzing data, refining the program, data management and reporting, and procedures for univariate, bivariate, and multivariate analysis. Other computer packages such as EXECUSTAT for time series analysis, and CRITERIUM for decision making analysis are also presented. Software proficiency in word processing, spreadsheet, and database is required.
Prerequisite: STAT3120 (QS312) (3 credits)
3 Credits

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