College of Science & Engineering: Mathematics Department-course descriptions6

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Course Descriptions

100 Level | 200 Level | 300 Level | 400 Level | Graduate

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Following certain course descriptions are the designations: F (Fall), Sp (Spring), Su (Summer) . These designations indicate the semester(s) in which the course is normally offered and are intended as an aid to students planning their programs of study.

601 Using the Graphing Calculator in the School Curriculum-1 hour. In this 24-hour workshop participants will develop a better understanding of graphing technology while considering the following topics: domain, range, linear and quadratic functions, common solutions, inequalities, extreme values, slope, translations, rational and trigonometric functions, asymptotes, statistical menus and data, exponential and logarithmic functions. Problem solving and programming will be included throughout.

602 Concepts and Practices in General Mathematics-3 hours. A practical approach to the development of programs, methods of motivation, and mathematical concepts for the teacher of general mathematics. Prerequisite: 15 hours of math including calculus.

603 Fundamental Concepts of Algebra-3 hours. The conceptual framework of algebra, recent developments in algebraic theory and advanced topics in algebra for teachers and curriculum supervisors. Prerequisite: 24 hours of math including calculus.

604 Fundamental Concepts of Geometry-3 hours. The conceptual framework of many different geometries, recent developments in geometric theory, and advanced topics in geometry for teachers and curriculum supervisors. Prerequisite: 24 hours of math including calculus.

605 Problem Solving in Mathematics-3 hours. Theory and practice in mathematical problem-solving; exploration of a variety of techniques; and finding solutions to problems in arithmetic, algebra, geometry, and other mathematics for teachers of mathematics and curriculum supervisors. Prerequisite: 24 hours of math including calculus.

606 Data Analysis and Probability for Teachers of Middle-Level Mathematics-3 hours. This course is designed to deepen middle-level teachers of mathematics' understanding of data analysis and probability. Topics to be studied in this course are: selecting and using appropriate statistical methods to analyze data, developing and evaluating inferences and predictions that are based on data, and understanding and applying the basic concepts of probability. Pedagogical approaches to students' learning of data analysis and probability will be incorporated into the study of these topics.

611 Introduction to Analysis for Secondary Teachers-3 hours. A study of continuity, differentiability and integrability of a function of a real variable particularly as these properties appear in the secondary school mathematics curriculum. Prerequisite: at least an undergraduate minor in mathematics.

613 Algebra and Functions for Middle School Teachers-3 hours. This course is designed to deepen middle-school mathematics teachers' understanding of algebra through the study of patterns, symbolic language, problem solving, functions, proportional reasoning, generalized arithmetic, and modeling of physical situations. Pedagogical approaches to students' learning of algebra will be incorporated into the study of these topics.

614 Basic Topics in Mathematics for the Elementary Teacher-3 hours. For the elementary teacher who needs to have a better understanding of mathematical content. Sets, numeration systems and algorithms for computation are studied in conjunction with a logical but non-rigorous development of the real numbers.

621 Using Technology in the School Curriculum-3 hours. This course was designed to facilitate the teacher of mathematics in the use of technology. Graphing utilities and calculator based laboratories through the study of the following topics: domain, range, linear and quadratic functions, common solutions, inequalities, extrema, slope, translations, rational and trigonometric functions, asymptotes, statistical menus, regression equations, data collection and analysis, parametric equations, exponential and logarithmic functions, problem solving and programming.

624 Intermediate Topics in Mathematics for the Elementary Teacher-3 hours. Topics included are an intuitive study of geometric figures, measurement, basic algebra and functions, and the rudiments of statistics and probability. Designed for the elementary teacher who needs a better understanding of mathematical content.

636 Geometry and Measurement for Teachers of Middle-Level Mathematics-3 hours. This course is designed to deepen middle-level teachers of mathematics' understanding of geometry as a study of size, shape, properties of space; a tool for problem solving; and one way of modeling physical situations. This course will also address connections between geometry to other mathematical concepts; historical topics relevant to geometry in the middle grades; and pedagogical approaches to students' learning of geometry.

638 Fundamental Models in Statistical Inference-3 hours. This class emphasizes the study of probability models that form the basis of standard statistical techniques. Statistical techniques considered include inferences involving measures of central tendency and measures of variability, linear regression model estimation and goodness of fit hypothesis testing. Prerequisite: at least an undergraduate minor in mathematics.

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