MATHEMATICS (MTH)
Course Descriptions
MTH 145 Cr. 4
Elementary Statistics
An introductory course covering fundamentals of modern
statistical methods. Topics include descriptive statistics, the
binomial and normal distributions, estimation, and hypothesis
testing. The z, t, F and chi-square test statistics are
introduced. Instruction in computer use is included, and
statistics software is used throughout the course for analyzing
data files and carrying out statistical procedures.
Prerequisite: MTH 050 or appropriate placement test score. MBA
foundation course.
MTH 305/505 Cr. 3
Statistical Methods
A survey of statistical methods from the point of view of how
these methods are implemented with a standard statistics
software package. Topics include descriptive statistics,
graphical methods, tests of location, goodness of fit, simple
and multiple regression, design of experiments, ANOVA, multiple
comparisons, chi-square tests. Both parametric and nonparametric
methods are treated. Computer use is an integral part of the
course. Prerequisite: MTH 145 or 341. Offered Sem. I.
MTH 445/545 Cr. 3
Correlation and Regression Analysis
An introduction to simple linear regression, multiple
regression, polynomial regression. Inferences, appropriateness
of model, model diagnostics/adequacy, difficulties in the
application of models are discussed. A computer package will be
used. Course participants will be involved with hands-on
statistical applications and consulting. Prerequisite: MTH
305/505 or 341. Offered Sem. I, even-numbered years.
MTH 446/546 Cr. 3
Analysis of Variance and Design of Experiments
An introduction to single factor, and randomized block designs
in analysis of variance. Inferences, appropriateness of model,
model diagnostics/adequacy, difficulties in the application of
models are discussed. Design or structure of an experiment will
be discussed. A computer package will be used. Course
participants will be involved with hands-on statistical
applications and consulting. Prerequisite: MTH 305/505 or 341.
Offered Sem. II, odd-number years.
MTH 447/547 Cr. 3
Nonparametric Statistics
An introductory course presenting the theory and procedures for
using distribution-free methods in data analysis. Standard
procedures, such as the Wilcoxon tests, Kruskal-Wallis,
Kolmogorov-Smirnov, nonparametric confidence intervals,
regression analysis, and powers of the tests will be included.
Computer programs will be used when appropriate. Prerequisite:
MTH 305/505 or 341. Offered Sem. II, even-numbered years.
MTH 449/549 Cr. 3
Applied Multivariate Statistics
An introduction to applied multivariate statistical methods
covering multivariate analysis of variance, multivariate
analysis of covariance, repeated measures design, factor
analysis, principle component analysis, cluster analysis,
discriminate analysis, and multivariate regression. Course
participants will be involved with hands-on statistical
applications. Prerequisite: MTH 305 or 341. Offered Sem. I,
odd-numbered years.
MTH 495/595 Cr. 1-3
Special Topics in Mathematics
Special topics in mathematics not covered by regular courses
taught in this department, such as topology, set theory and
advanced numerical analysis. The particular topic is decided
mutually by the students and the instructor. Prerequisite:
written consent of the department chair. Repeatable for credit —
maximum 6.
MTH 496/596 Cr. 1-3
Special Topics in Statistics
Special topics in statistics not covered by regular courses
taught in this department. The particular topic is decided by
the instructor. Prerequisite: Written consent of the department
chair. Repeatable for credit–maximum 6.
MTH 651 Cr. 1
Number and Operations in Middle School Mathematics
A study of the mathematical concepts, properties and techniques
that are fundamental to integers, rational and irrational
numbers, and other number systems. Emphasis is on using
mathematical reasoning, explaining concepts, justifying
statements with informal logical arguments, developing
mathematical models and integrating knowledge from different
areas of mathematics as appropriate for middle school
mathematics. Students will be expected to become knowledgeable
with the results of research in the teaching and learning of
numbers and operation with numbers. Prerequisite: Admission to
the Middle School Mathematics Certificate Program. Offered
Summer Session.
MTH 652 Cr. 1
Geometry and Measurement for Middle School Teachers
A study of the mathematical concepts, properties and techniques
that are fundamental to two- and three-dimensional geometry,
including measurement, transformations, constructions,
definitions, and proofs. Emphasis is on using mathematical
reasoning, explaining concepts, justifying statements with
informal logical arguments, developing mathematical models and
integrating knowledge from different areas of mathematics as
appropriate for middle school mathematics. Students will be
expected to become knowledgeable with the results of research in
the teaching and learning of geometry. Prerequisite: Admission
to the Middle School Mathematics Certificate Program. Offered
Summer Session.
MTH 653 Cr. 1
Algebraic Reasoning in Middle School Mathematics
A study of the mathematical concepts, properties and techniques
that are fundamental to the development of algebraic structures,
including variables, patterns, algebraic expressions and
operations, and solving equations. Emphasis is on using
mathematical reasoning, explaining processes, describing and
modeling real-world phenomena and integrating knowledge from
different areas of mathematics as appropriate for middle school
mathematics. Students will be expected to become knowledgeable
with the results of research in the teaching and learning of
algebraic concepts. Prerequisite: Admission to the Middle School
Mathematics Certificate Program. Offered Summer Session.
MTH 654 Cr. 1
Probability for Middle School Teachers
A study of the mathematical concepts, properties and techniques
that are fundamental to probability, including counting
techniques, expected value, probability distributions, and
conditional probability. Emphasis is on using mathematical
reasoning, explaining concepts, interpreting probabilities,
applying both experimental and theoretical techniques to solve
problems and integrating knowledge from different areas of
mathematics as appropriate for middle school mathematics.
Students will be expected to become familiar with the results of
research in the teaching and learning of probability concepts.
Prerequisites: Admission to the Middle School Mathematics
Certificate Program. Offered Summer Session.
MTH 655 Cr. 1
Statistics in Middle School Mathematics
A study of the mathematical concepts, properties and techniques
that are fundamental to statistical analysis. Emphasis is on
collecting, interpreting, and analyzing data, using the results
of data analysis to make predictions and confirm or deny
hypotheses, and integrating knowledge from different areas of
mathematics as appropriate for middle school mathematics.
Technology is used to generate displays, compute summary
statistics and design presentations. Students will be expected
to become familiar with the results of research in the teaching
and learning of statistics. Prerequisites: Admission to the
Middle School Mathematics Certificate Program. Offered Summer
Session.
MTH 656 Cr. 1
Functions and Graphs in Middle School Mathematics
A study of the mathematical properties, graphs and applications
of linear, quadratic, polynomial, exponential and power
functions. Emphasis is on recognizing functional relationships,
demonstrating the relationship between a function and its graph,
describing and modeling real-world phenomena and integrating
knowledge from different areas of mathematics as appropriate for
middle school mathematics. Students will be expected to become
knowledgeable with the results of research in the teaching and
learning of concepts relating to functional relationships and
graphical representations. Prerequisite: Admission to the Middle
School Mathematics Certificate Program. Offered Summer Session.
MTH 657 Cr. 2
Mathematical Problem Solving in Middle School Mathematics
A study of general mathematical processes and techniques that
are used to solve problems in middle school mathematics.
Emphasis is on communicating logical arguments, applying a
variety of problem-solving strategies, using appropriate
mathematical language and analyzing both routine and non-routine
problems encountered in middle school mathematics. Issues
relating to the methods, materials, and the research-based
teaching strategies of problem solving at the middle school
level will also be discussed. Prerequisites: Admission to the
Middle School Mathematics Certificate Program. Offered Sem. I.
MTH 658 Cr. 2
Mathematical Assessment in Middle School Mathematics
A study of current strategies and techniques to assess student
knowledge and problem-solving ability in mathematics. Emphasis
is on connecting assessment theory and models to teachers’
practices through recognizing student errors and misconceptions,
identifying prerequisite knowledge necessary for understanding
of mathematical concepts, developing constructed-response
questions and creating performance-based activities for
assessing both procedural and conceptual mathematical
understanding, and implementation of an action research plan.
Prerequisites: Admission to the Middle School Mathematics
Certificate Program. Offered Sem. II.
MTH 697 Cr. 1-3
Special Topics in Mathematics
Special topics in mathematics, mathematics education and
statistics not covered by regular courses taught in the
mathematics department. The particular topic selected to be
determined by the mathematics department according to need and
interest. Prerequisite: Written consent of the department chair.
Repeatable for credit.
MTH 796 Cr. 1-3
Directed Studies
Directed readings or presentation of special topics in
mathematics. Prerequisite: consent of the instructor. Repeatable
for credit — maximum 6.