# 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 non-parametric methods are treated. Computer use is an integral part of the course. Prerequisite: MTH 145 or 341. Offered Sem. I.

## MTH 444/544 Cr. 3

Introduction to Sampling

Methodology of simple random sampling, stratified sampling, systematic sampling, cluster sampling, and multistage sampling is developed and applications related to physical, social, and biological sciences are given. Single and two variable estimation techniques are discussed. Prerequisite: MTH 305/505 or 341. Offered Sem. I, odd-numbered years.

## 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

Non-parametric 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, non-parametric 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 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.