Plan of Study – Mathematics

Topics include data collection and graphic presentation; measures of central tendency; measures of dispersion; normal and binomial distributions; regression and correlation; sampling methods; design of experiments; probability and simulation; sampling distributions; statistical inference including confidence intervals and hypothesis testing for one-sample and two-sample problems; chi-square distribution and test of significance; ANOVA. Prerequisite: MTH 1040 or placement based on the mathematics sub-score of the SAT/ACT standardized test or departmental placement exam.

Mathematical logic, sets, functions, mathematical induction, recursion, combinatorics, probability, relations, graph theory, trees, and Boolean algebra. Prerequisite: MTH 1050.

Topics include a study of limits, continuity, derivatives of algebraic and transcendental functions, applications of derivatives, integrals, and the Fundamental Theorem of Calculus. Prerequisite: MTH 1210 or departmental approval. Computer Science majors must complete this course with a grade of C (2.0) or better within the first 20 semester hours of their major.

Derivatives and integrals of transcendental functions, techniques of integration, improper integrals, L'Hopital's Rule, sequences, series, convergence, divergence, power series, Taylor and Maclaurin Series, differentiation and integration of power series. Prerequisite: C or better in MTH 201

Topics include groups, subgroups, isomorphism, cosets and Lagrange's Theorem, group homomorphisms, rings, and integral domains. Prerequisite: MTH 2460.

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 2460.

Develop an understanding of Euclidean geometry. Study finite geometries, geometric transformations and non-Euclidean geometries. Write geometric proofs and apply geometric concepts to real-world situations. Explore geometric concepts and relationships using interactive software. Prerequisite: MTH 2460.

Solution techniques and applications of first-order differential equations, higher-order linear differential equations, Laplace transforms, and linear systems. Prerequisite: MTH 2520.

A study of vectors, vector-valued functions, differential calculus of functions of several variables and applications, multiple integrals, vector fields, and line and surface integrals. Prerequisite: MTH 2520.

Study of logic, set theory, methods of mathematical proof, relations and functions, cardinality and study of the properties of the real number system. Emphasis is on rigorous proofs of mathematical statement. Prerequisites: MTH 2460

Designed to help students develop oral and written communication within the context of the mathematics major. An essential component of the course is the preparation and presentation of research paper. Taken by mathematics students with senior status as a requirement for graduation; to be taken in the final six hours of the program.

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 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.

Engage preservice and in-service teachers in mathematical reasoning and proof. Emphasis on making and investigating mathematical conjectures, developing and evaluating mathematical arguments and proofs, selecting and using various types of reasoning and methods of proof. Grade appropriate ways to foster systematic thinking, conjecturing, and marshaling of evidence are also explored. Prerequisite: MTH 1210, MTH 3330.

Focus on the appropriate use of electronic technologies to help teach mathematics. Calculators, graphers and computers are used in a laboratory setting to investigate patterns; test conjectures; explore and analyze data, connect numerical, symbolic, and graphical representations; visualize geometric concepts; and investigate and solve real-world problems. Hands on experience using and evaluating Internet resources appropriate for use in a mathematics classroom. Prerequisite: MTH 2330.

Students seeking mathematics teacher certification in the 7-12 grade band research and discuss issues and evolving practice related to the teaching and learning of mathematics. Research will focus on the social contexts of mathematics teaching and learning; examining issues related to access, equity, and empowerment from a current and historical perspective. Prerequisite: senior status

Designed specifically for prospective elementary school teachers. Understanding and use of the underlying principles of key mathematical concepts in a problem solving environment. Focus on number sense and numeration, whole number operations, fractions and decimals, computational algorithms, patterns, relations, functions, and informal algebra. A variety of materials, activities, and strategies appropriate to teaching elementary school mathematics are used. Prerequisite: placement test or MTH 1040. A requirement in the program for elementary teacher certification.

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. Prerequisite: MTH 2330. A requirement in the program for elementary teacher certification.

Introduction 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.

Theory of instruction, methods, and materials in the secondary subject-matter fields in which students expect to teach; observations of classroom procedures; and participation in a field placement in which students plan, teach, and assess student performance. Emphasis is on the application of effective instructional theory and practice for diverse student populations. Students develop unit plans within their disciplines that demonstrate their competence in lesson planning, while employing a variety of teaching and assessment strategies. Lecture 3 hours, laboratory 1 hour. In special circumstances (such as extended student teaching), courses may be taken for smaller increments, with approval of the Dean's Office. Offered Fall only. Prerequisites: EDU 2000 and EDU 3120 and admission to the Teacher Education Program.

An introductory course in the field of computer science. Topics include fundamentals of computation and algorithmic problem solving, data types, procedures, control structures, arrays, and applications. Recommended as the first computer science course taken by students in mathematics and science, as well as by those wishing to concentrate in computer science.