Siena Heights University
MAT 174
DATA ANALYSIS AND STATISTICS
A technique-oriented approach to statistical problems with emphasis on applications. Descriptive statistics,
probability distributions, estimation, testing hypotheses, z and t-tests, regression and correlation, chi-square
tests, one-way analysis of variance. Statistical software packages will provide computational assistance.
Prerequisite: MAT 159 or equivalent, or permission
Liberal Arts: Mathematics
Course is offered: FA and WI Every Year 3
MAT 181
CALCULUS WITH ANALYTIC GEOMETRY I
This is the first course in the calculus sequence. The course content includes a quick review of algebra and a
study of functions, derivatives, curve sketching, and application of the derivative, integration, and separable
differential equations.
Prerequisite: MAT 159 or placement
Liberal Arts: Mathematics
Course is offered: FA Every Year 4
MAT 182
CALCULUS WITH ANALYTIC GEOMETRY II
Methods of integration, and applications of integration, infinite series, especially power and Taylor series,
integrating factors and linear differential equations.
Prerequisite: MAT 181 or equivalent
Course is offered: WI Every Year 4
MAT 244
STATISTICAL ANALYSIS AND DESIGN
3
A more thorough investigation of hypothesis testing and analysis, as applied to science, psychology, sociology
and business, including non-parametric statistics.
Prerequisite: MAT 174 or equivalent
Course is offered: WI Every Year
MAT 260
DISCRETE MATHEMATICS
3
A consideration of basic concepts in mathematical reasoning, numbers, logic, sets, relations, graph theory,
combinatorial analysis, and algorithmic processes. Special attention is given to various types of proof, modeling,
and applications to computing.
Prerequisite: MAT 159 or placement
Liberal Arts: Mathematics
Course is offered: WI Every Year
MAT 282
DIFFERENTIAL EQUATIONS
4
In this course, we emphasize modern, qualitative methods and analysis for ordinary differential equations. Topics
include first and second order equations, systems of first order equations, numerical methods, equilibrium
solutions and phase plane stability, slope and vector fields, eigensystem analysis and solution techniques.
Prerequisite: MAT 292
Course is offered: WI Every Year
MAT 292
MULTIVARIABLE CALCULUS
4
This is the capstone course in the Calculus sequence. Topics include: Gradients of scalar potential functions and
conservative vector fields. Multiple integration along paths, on surfaces and in volumes. Vector functions and
partial derivatives: curl and divergence. Theory and application of the fundamental theorems of multivariable
calculus due to Stokes and Gauss.
Prerequisite: MAT 182
Course is offered: FA Every Year
MAT 295
SOPHOMORE SEMINAR I
1
Students will study the history of mathematics with emphasis on arithmetic, algebra, geometry, and calculus as
developed from ancient times through the twentieth century. Technical reading and writing in mathematics will be
emphasized through detailed discussion of selected journal articles and exploration projects. Portfolios of best
work will be started in preparation for graduate school or professional employment. Offered on a Credit/No Credit
basis only.
Undergraduate and Graduate Catalog 2016-2018
244