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Course Criteria
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5.00 Credits
5 s.h. Focus on a study of functions, their inverses, graphs, and properties. Specifically, polynomial, rational, exponential, logarithmic, and trigonometric functions are explored. Students solve equations and real-world problems involving these functions. Graphing calculators are an integral part of the course. Prerequisites: two years of algebra and a course in trigonometry.
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4.00 Credits
4 s.h. Introduces the concepts and techniques of differential and integral calculus useful to students in business, economics, and the social sciences. Designed to give students a sound, intuitive, and geometric understanding of basic concepts and to enable students to apply a variety of techniques to practical situations. Graphing calculators are an integral part of the course. Prerequisite: MTH 1050.
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3.00 Credits
3 s.h. Second course designed specifically for prospective elementary school teachers. Understanding and use of key mathematical concepts in a problem solving environment. Focus on mathematical logic; properties of two- and three-dimensional geometric figures; similarity and congruence; motion geometry; common and metric measurement; statistical methods to describe, analyze, and use data; and probability applied in everyday life. A variety of materials, activities, and strategies appropriate to teaching elementary school mathematics are used. Prerequisites: MTH 1040 and MTH 2330. A requirement in the planned program for elementary school certification.
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4.00 Credits
4 s.h. The basic concepts of probability and statistics such as measures of central tendency and deviation, sampling and sampling distribution, random variables, frequency distribution, statistical inference, hypothesis testing, and applications. Designed to help individuals make decisions based on analysis of data. Use of the graphing calculator is an integral part of the course. Prerequisite: MTH 1040 or equivalent.
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3.00 Credits
3 s.h. An extension of statistical techniques to include analysis of variance and correlation. Develops the ability to understand and evaluate research papers. Consideration is given to legitimacy of design, appropriateness of analysis, and validity of conclusions. Prerequisite: MTH 2350.
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3.00 Credits
3 s.h. Exploration of the ideas, methods, applications, and questions of modern algebra. Basic properties and theorems related to groups, rings, integral domains, and fields; the familiar number systems serve as models for the abstract systems. Students gain experience in abstract reasoning: making and testing conjectures and proving theorems. Prerequisite: MTH 2520
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4.00 Credits
4 s.h. Designed specifically for elementary school teachers. Focus on building algebraic thinking through examination of patterns and relationships, logic, and functions, as well as developing appropriate symbolic forms to represent and analyze mathematical situations and structures. Multiple representations of situations are used and the interrelationships of these representations are stressed. Attention given to developing proportional reasoning by investigating number theory, ratio and proportion, and decimals and percents as extensions of the whole number system. Prerequisite: MTH 2330 and MTH 1210.
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4.00 Credits
Teachers 4 s.h. Designed specifically for elementary school teachers. Students are introduced to a variety of materials, activities, and physical models and manipulatives, and dynamic software as learning tools. Focus on analyzing characteristics and properties of two- and three-dimensional geometric objects and their measurement using different representational systems, recognizing the usefulness of transformations and symmetry in analyzing mathematical situations, and using visualization and spatial reasoning to solve problems both within and outside mathematics. Prerequisite: MTH 2330.
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3.00 Credits
3 s.h. Use of multiple representations of linearity, solution of systems of linear equations, organizing data using matrices, performing matrix operations, using determinants, study of algebraic and geometric structures of vector spaces, recognizing subspaces and spanning sets, finding eigenvectors and eigenvalues, using technology to explore ideas, developing logical proofs, and applying concepts to real-life situations. Prerequisite: MTH 2520
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4.00 Credits
4 s.h. A study of the concepts of the calculus applied to sequences and series, and special series; vectors and analytical geometry in two and three dimensions, including vector-valued functions; partial differentiation and its applications; and multiple integration. Prerequisite: MTH 2520.
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