Course Descriptions

College Catalog

Applied Mathematics Courses

Below is a list of Applied Mathematics courses offered by Stevenson University. To earn a degree in Applied Mathematics, students must also complete coursework in other areas. To view a complete listing of all course requirements for the Applied Mathematics degree, please see the University catalog.

MATH 121
College Algebra With Applications
Topics include equations and inequalities, properties of functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations. Course activities emphasize applying acquired algebraic problem solving techniques and reasoning to real-world and discipline-specific problems. A TI-83, 83Plus or 84 calculator is required for this course. Prerequisite: A grade of C or better in DEVM 105, or by placement. Four credits.

MATH 125
Precalculus
An intensive preparation for calculus intended for mathematics and science majors. Content presented with real data applications and with integrated technology. Topics covered include polynomial and rational functions, logarithms and exponential functions, equations and inequalities, trigonometric functions, vectors, comlex numbers, and systems of equations. A TI-83, 83Plus or 84 graphing calculator is required for this course. Prerequisite: A grad of C or better in MATH 121 or by placement.

MATH 132
Mathematics for Teachers II
Explores a variety of mathematical topics needed by prospective early childhood and elementary school teachers. Topics include sets, numeration systems, whole numbers, integers, number theory, rational numbers, ratio, proportion, percent, geometry, tessellations, measurement, coordinate geometry, and problem solving. Open to Education majors only. Prerequisite: A grade of C or better in DEVM 105, or placement into MATH 121 or higher. 4 credits, Spring. (02 Oct 2007)

MATH 140
Basic Statistics
A basic survey of data analysis. Methods include data collecting and packaging, discriminating between valid and invalid uses of statistics, and elementary methods for decision making. Topics include measures of central tendency and dispersion, elementary probability, probability distributions, interval estimates of parameters, hypothesis testing, correlation and regression. Course activities include elementary applications of statistics to a variety of disciplines. A TI-83, 83Plus or 84 calculator is required for this course. Prerequisite: A grade of C or better in DEVM 105, or by placement. Four credits.

MATH 201
The Nature of Mathematics
An introduction to the science of patterns. Students use basic principles of mathematical problem solving to investigate new areas of thought. Topics may include number patterns, prime numbers and cryptography, infinity, the golden ratio, topology and knots, chaos and fractals, and risk, but may vary at the discretion of the instructor. Prerequisites: ENG 152 and successful completion of DEVM 105 or placement in MATH 111 or higher. Three credits. (17 Nov 2006)

MATH 210
Statistics and Probability
A survey of the theory of statistics and its applications to concrete problems in business and the social sciences. Topics covered include data collection, graphical displays of data, descriptive measures, correlation and regression, probability, discrete and continuous random variables, the binomial and normal distributions, sampling distributions, interval estimation of parameters, and tests of hypotheses. A TI-83, TI-83 Plus or TI-84 calculator is required for the course. A computer laboratory component will introduce the student to statistical applications in software packages. Prerequisite: MATH 111. Four credits. (Credit will not be granted for both MATH 210 and MATH 235.) (17 Nov 2006)

MATH 220
Calculus
Introduction to calculus. Topics include functions, limits, continuity, derivatives and applications of derivatives, sketching of graphs of functions, and integrals. Prerequisite: High school trigonometry and placement, or MATH 112. Four credits. (TI-83 or TI-83 Plus graphics calculator is required.) (17 Nov 2006)

MATH 221
Calculus II
Topics include basic differential equations, techniques of integration, improper integrals, applications of integration, and the evaluation of infinite sequences and series. Prerequisite: MATH 220 or equivalent. Four credits. (TI-83 or TI-83 Plus graphics calculator is required.) (17 Nov 2006)

MATH 235
Statistical Methods
An intensive course in the theory and practice of statistics, with examples and applications appropriate for students in the natural and health sciences. Topics covered include data collection and the design of statistical studies, graphical displays of data, descriptive measure, probability, discrete and continuous random variables, one- and two sample interval estimation and tests of hypotheses for means and proportions, analysis of variance with multiple comparisons, linear regression and correlation, nonlinear regression, nonparametric tests, and analysis of categorical data. A TI-83, TI-83 Plus or TI-84 calculator is required relations and functions, polynomial and rational functions, exponential and logarithmic functions. A TI-83, TI-83 Plus or TI-84 calculator is required for the course. Prerequisite: Two years of high school algebra or DEVM 105 or placement. Three credits. (17 Nov 2006)

MATH 312
Mathematical Statistics I
First part of a two-semester sequence covering the foundations of statistical theory. The course focuses on the theory and applications of probability and its fundamental role in statistical inference. Topics covered include probability axioms and rules, counting techniques,discrete and continuous univariate and multivariate probability distributions, mathematical expectation, variance, and covariance. Prerequisite: MATH 221 or permissionof the instructor. Offered fall semester ofeven-numbered years. Three credits. (17 Nov 2006)

MATH 321
Introductions to Differential Equations
An introduction to the application of calculus, particularly in the area of mathematical modeling. Topics covered include quantitative and qualitative solutions to ordinary differential equations and systems of equations. Computer based numerical methods will be introduced. Discrete dynamical systems and chaotic systems will be covered as time permits. Prerequisite: MATH 221. Spring semester. Three credits. (17 Nov 2006)

MATH 330
Discrete Structures
Topics include sets functions, relations, graphs, diagraphs, trees, recursion, mathematical interaction and other proof techniques, and Boolean algebra. The relationship between these concepts and computers will be emphasized. Prerequisites: IS 115 and MATH 220 or equivalent. Offered spring semester of even-numbered years. Three credits. (17 Nov 2006)

MATH 340
Calculus III
Continues the study of calculus with analytic geometry. Includes the study of conic sections, plane curves, vectors, and differential equations. In addition, the course will cover three-dimensional surfaces and further applications of motion, area, and volume. Prerequisite: MATH 221. Spring semester. Four credits. (17 Nov 2006)

MATH 420
Actuarial Mathematics
Introduction to the principles of interest theory and insurance. Interest theory topics include calculating effective yields, annuities, amortization schedules and valuation of bonds and other securities. Insurance principles include the economics of insurance, valuation of assets and liabilities under uncertainty, measurements of mortality, and individual risk models. Prerequisites: MATH 340 and one course in Statistics. Three hours a week. Three credits.

MATH 450
Senior Research Capstone
Student develops a research thesis or project that will be conducted under the guidance of a mentor, possibly off campus. The project must demonstrate an understanding of the integration and application of technology to the analysis of selected mathematical problems within the student146s focus area. Requirements include keeping a formal report of progress and presentation at a poster seminar. Prerequisites: Senior standing, at least two 300- or 400- level math courses, and permission of the departmentchair. Fall semester. Three credits. (17 Nov 2006)

MATH 490
Special Topics in Mathematics
Rotates subject matter to cover a variety of applied mathematics topics. Content is developed to expand on or complement existing MATH courses. Course may be repeated for credit as topics change. Prerequiste:Permission of Intructor. Offered as needed. (20 Aug 2007)