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Covers the basics of mathematical skills and knowledge needed to proceed into further educational mathematics courses. This course will review and emphasize the prerequisite manipulative skills involved in basic arithmetic. It will also cover the basic knowledge of mathematics (such as exponents, square roots, Pythagorean Theorem, area, perimeter and volume formulas) and mathematical terminology. (Required for Early Childhood, Middle Childhood, and Intervention Specialist licensure areas. This course is for students in areas of elementary education only.)
Topics in sets, whole numbers, integers, rational and real numbers, linear equations and inequalities, and systems of equations. Grading is limited to A, B, C and F.
Topics in algebra such as quadratic equations, exponents, radicals, polynomial expressions, and rational expressions. Prerequisite: high school Algebra I or MATH 125.
Designed to provide the prospective teacher with an understanding of fundamental arithmetic and algebraic concepts and basic problem-solving skills. Emphasis is placed upon a problem-solving approach which requires students to be active participants in the examination of numerical concepts typically covered in the K-9 curriculum. (Required for Middle Childhood Math Concentration.) Prerequisite: MATH 112 or proficiency. Offered Fall 2004 and alternate Fall semesters.
An introduction to statistics with a primary focus on problem solving and statistical literacy. Designed to provide students with the conceptual foundation and quantitative skills needed to analyze and interpret data and to meaningfully interpret statistical results reported in research articles and in popular media. Includes topics such as the quantification of variables, sources of data, sampling procedures, graphical representation of data, measures of central tendency and variability, probability, correlation and regression, confidence intervals, and significance tests. Prerequisite: MATH 130 or equivalent proficiency. Cross-listed with PSYC 140. Offered each semester.
The purpose of this course is to develop critical thinking and quantitative reasoning skills. Topics of study will include logic and set theory, problem-solving techniques, number "sense", an introduction to probability and statistics, graphs, and modular arithmetic. Applications of mathematics in other fields will be studied, including art (symmetry, perspective, patterns, golden mean and ratio), politics (voting methods, polling practices), and business (networks, scheduling, finance). Special emphasis will be placed on collaborative learning. Offered each semester.
A rigorous study of the concepts of algebra and trigonometry as functions. Emphasis is on examining functions symbolically, numerically, graphically, and verbally. The course is designed to prepare students for MATH 201. Graphing calculator required; TI-83(/82) preferred. Prerequisite: high school Algebra II or a grade of C- or higher in MATH 130. Offered each semester.
A review of analytic geometry, functions and graphs. Concept and definition of limit, techniques of finding limits, derivatives, differentials, implicit differentiation, Newton’s Method, applications including asymptotes and maxima/minima problems. Antiderivatives, Fundamental Theorem of Calculus, definite integrals, indefinite integrals, change of variables and numerical integration. Trigonometric functions are incorporated throughout. Exponential and logarithmic functions are introduced. Prerequisite: three years of high school college-preparatory mathematics and an ACT math score of 26 or higher; or a grade of C- or higher in MATH 150. Offered each semester.
Applications of the definite integral, solids of revolution, volumes by slicing, arc length, logarithmic and exponential functions, laws of growth and decay, inverse trigonometric functions, hyperbolic and inverse hyperbolic functions, integration by parts, partial fractions, trigonometric substitutions and other techniques of integration, indeterminate forms and improper integrals, indeterminate forms and improper integrals, infinite sequences and series, and an introduction to partial derivatives. Prerequisite: a grade of C- or higher in MATH 201 or proficiency. Offered each semester.
A survey of discrete mathematical concepts. Topics will include sets, logic, relations, combinatorics, graph theory, trees, mathematical induction and Boolean Algebra. Offered each Spring.
Students will extend and expand their knowledge and understanding of both measurement and geometry. This will include an understanding of the attributes of length, capacity, weight and mass, area, volume, time, temperature, and angles and the constructing of formulas and procedures for determining these measures. Students will also explore transformation of geometric figures. Prerequisite: MATH 132 or permission of the instructor and the Department Chair. Offered Spring 2005 and alternate Spring semesters.
Probability, use of tables and graphs, frequency distribution, correlation and related topics. Prerequisite: MATH 201 or permission of the instructor. Offered Fall 2004 and alternate Fall semesters.
A continuation of MATH 303 with an emphasis in application of sound statistical techniques for estimation, test of hypothesis, various linear and nonlinear regression models. The role of data analysis, probability and decision making will be examined from a systems view. Prerequisite: MATH 303. Offered Spring 2005 and alternate Spring semesters.
An introductory course in the algebra and geometry of vectors, matrices and linear transformations. Finite-dimensional vector spaces are presented with applications and examples of all topics covered. Prerequisite: MATH 202 or permission of the instructor. Offered each Spring.
Differential equations of the first and second orders with their solutions and applications. Includes the use of the Laplace transforms, series solutions and an introduction to partial differential equations. Prerequisite: MATH 331 or permission of the instructor. Offered Fall 2005 and alternate Fall semesters.
Concepts of modern real analysis, further application of partial differentiation and multiple integration, parametric equations, vector functions and fields, line and surface integrals, Green's Theorem, and Stokes' Theorem. Prerequisite: MATH 202. Offered each Fall.
Advanced topics of Euclidean geometry, including properties of axiomatic systems and introduction to non-Euclidean geometries. Prerequisite: MATH 311 or permission of the instructor. Offered Fall 2004 and alternate Fall semesters.
An introduction to the history of mathematics, particularly in relation to the development of topics through calculus. Designed to provide the student with an understanding of the interrelationship of the branches of mathematics study and to give enrichment material for the future teacher of mathematics. Prerequisite: MATH 201 or permission of the instructor. Offered Fall 2005 and alternate Fall semesters.
A study of properties of the integers including divisibility, primeness, congruences, factor theory, numeration systems, Diophantine problems and others. Prerequisite: MATH 201. Offered Spring 2006 and alternate Spring semesters.
An investigation of a topic of the student’s choice in consultation with a faculty member. Enrollment by permission of the Department Chair.
This course emphasizes the scientific approach in decision making. A systems approach will be taken in the structuring of various mathematical models. Subjects to be covered include linear programming, network analysis, dynamic programming and other operations research-oriented techniques. Prerequisites: MATH 303, 311. Offered Spring 2006 and alternate Spring semesters.
A study of the basic algebraic properties of groups, rings and fields and their extensions by the axiomatic approach. Prerequisite: MATH 311. Offered Fall 2005 and alternate Fall semesters.
A study of real analysis topics including the topology of the real line and Rn, sequences and series, functions, continuity, uniform continuity, differentiation and theory of integration. Prerequisite: MATH 331. Offered on demand.
Selected topics from any of the areas offered in mathematics. Open to students with advanced standing in mathematics. Enrollment by permission of the Department Chair.
A series of colloquia featuring mathematics faculty, mathematics students and guests as speakers. Students are expected to attend and participate in discussions and to prepare and present a seminar talk. Prerequisite: Acceptance as a mathematics major and Senior standing or permission of the instructor. Offered each Fall.
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