Mathematics
Course Descriptions
MTH 102 Beginning Algebra
3 credits
This basic course in algebra includes a review of pre-algebra skills (integers, fractions, and order of operations), then focuses on linear equations, proportions, Cartesian coordinates, graphing linear equations, verbal problems, exponents, direct and inverse variation, and summation. Emphasizes quantitative reasoning and highlights applications of mathematics in a variety of disciplines and daily life. Does not fulfill the mathematics requirement of the Core Curriculum. Not open to students with credit for MTH 100 or higher numbered MTH courses.
MTH 115 Survey of Mathematical Foundations
3 credits
An introduction to the fundamental algebraic and logical foundations for a variety of practical applications, including linear algebra, formal logic, and statistics. An emphasis is placed on the importance of understanding the basic mathematical tools and quantitative reasoning skills required for analytic problem solving. Topics include systems and representations of numbers, linear and quadratic equations and inequalities, graphing, systems of equations, interest compounding and amortization, combinatorics and probability, formal logic, and descriptive statistics and normal distributions
MTH 121 Mathematics for the Liberal Arts
3 credits
An introduction to modern mathematics and its applications designed to foster an awareness of the nature of mathematics, to promote an understanding of the role of mathematics in today's society, and to encourage the development of critical and quantitative reasoning skills. Topics include the mathematics of voting and social choice, graphs and management science, mathematical growth from numeric and geometric perspectives, and the collection and analysis of data. Prerequisite: MTH 102 or placement. Not open to students with credit for MTH 110.
MTH 127 Intermediate Algebra
3 credits
This course is designed to prepare students for precalculus. Topics include solving equations involving polynomial, rational and radical expressions; solving systems of linear equations; and graphing linear and quadratic functions. The function concept, together with the notions of domain, range, and function composition will be introduced and stressed throughout the course. Exponential expressions and logarithms will be introduced. Prerequisite: MTH 102 or placement. Not open to students with credit for MTH 128, 160, and 240.
MTH 140 Introduction to Statistics
3 credits
An introduction to the basic concepts and computations used in statistical analysis as well as their application to problems in other disciplines, especially biology, business, education, and social sciences. Topics include the description of data graphically and numerically, the collection of data via samples and experiments, and the process of drawing inferences or conclusions from data. The laboratory component of the course emphasizes conceptual understanding, interpretation of statistical quantities, and written/oral communication and will require the use of mathematical software. Prerequisite: MTH 102 or placement.
MTH 145 Discrete Mathematics
3 credits
Consideration of discrete mathematical topics including logic, set theory, algorithms, Boolean algebra, number systems, and graph theory. Prerequisite: MTH 102 or placement.
MTH 150 Principles of Mathematics and Technology for Early Childhood Teachers and Intervention Specialists
3 credits
Development of the basic ideas of numbers, number relationships, algebra, geometry, measurement, statistics, and probability in a problem solving, activity-oriented approach to the study of mathematics appropriate for early childhood teachers and intervention specialists. The structure of the course will stress: learning mathematical ideas in a hands-on, cooperative learning setting; the interrelationships within mathematics and the connections that exist between mathematics and other disciplines; the communication of mathematics accurately, both orally and in writing; the elements of mathematical modeling; discussion of the evaluation, acquisition, and implementation of current technology and resources; the use of estimation and the reasonableness of answers; the integration of appropriate technologies; the use of patterns and relationships to analyze mathematical situations; the use of current literature on the learning and teaching of mathematics; and allowing the students the opportunity to reflect on their own mathematical behavior. The course will require the use of manipulatives, calculators, computer software, and the Internet to reinforce the development of mathematical concepts, skills and pedagogy. Prerequisite: Education major and MTH 102.
MTH 152 Principles of Mathematics and Technology for Middle Childhood Teachers
3 credits
Development of the basic ideas of numbers, number relationships, algebra, geometry, measurement, statistics, and probability in problem solving, activity-oriented approach to the study of mathematics appropriate for middle childhood teachers. The structure of the course will stress: learning mathematical ideas in a hands-on, cooperative learning setting; the interrelationships within mathematics and the connections that exist between mathematics and other disciplines; the communication of mathematics accurately, both orally and in writing; the elements of mathematical modeling; discussion of the evaluation, acquisition, and implementation of current technology and resources; the use of estimation and the reasonableness of answers; the integration of appropriate technologies; the use of patterns and relationships to analyze mathematical situations; the use of current literature of the learning and teaching of mathematics; and allowing the students the opportunity to reflect on their own mathematical behavior. The course will require the use of manipulatives, calculators, computer software, and the Internet to reinforce the development of mathematical concepts, skills and pedagogy. Prerequisite: Education major and MTH 102.
MTH 160 Precalculus
3 credits
Topics include number theory and systems, solutions of equations and inequalities, factoring, functions and their graphs, inverse functions, exponential and logarithmic functions, trigonometric functions and their inverses, trigonometric identities, solutions of trigonometric equations, and applications. The laboratory component of the course emphasizes mathematical modeling, problem solving, and written/oral communication and will require the use of graphing calculators and mathematical software. Prerequisite: MTH 102 or MTH 127 or placement. Not open to students with credit for MTH 240.
MTH 211 Quantitative Methods
3 credits
Topics include statistical modeling, linear programming, flow diagrams, introductory concepts of calculus, matrices, and other mathematical concepts relevant to finance and business. This course will emphasize trend analysis, forecasting, and other business decision-making concepts and processes. Prerequisite: MTH 140. Not open to students with credit for MTH 210.
MTH 240 Calculus I
4 credits
Topics include relations and functions, limits, continuity, derivatives, Mean Value Theorem, extrema, curve sketching, related rates, differentiation of exponential, logarithmic, and trigonometric functions, introduction to Integral Calculus, the fundamental theorems of Calculus, elementary methods of integration, and applications. The laboratory component of the course emphasizes mathematical modeling, problem solving, and written/oral communication and will require the use of graphing calculators and mathematical software. Prerequisite: MTH 160 or placement.
MTH 241 Calculus II
4 credits
Topics include a continuation of Integral Calculus, integration techniques, integration of exponential, logarithmic, trigonometric, inverse trigonometric, and hyperbolic functions, applications of integration, indeterminate forms, improper integrals, parametric curves, polar coordinates, series and sequences, and applications. The laboratory component of the course emphasizes mathematical modeling, problem solving, and written/oral communication and will require the use of graphing calculators and mathematical software. Prerequisite: MTH 240.
MTH 242 Multivariable Calculus
4 credits
Topics include vectors in the plane; vectors, curves, and surfaces in space; partial differentiation, Lagrange multipliers, and multiple integrals. Prerequisite: MTH 241.
MTH 243 Differential Equations
3 credits
Topics include linear differential equations, linear systems of differential equations, qualitative theory of systems of ordinary differential equations, the Laplace transform, and introduction to partial differential equations. Prerequisite or Co-requisite: MTH 242.
MTH 270 Mathematical Statistics
3 credits
An introduction to the mathematical foundations of the study of statistics using calculus. Topics include probability theory, probability distribution and densities, functions of random variables, sampling distributions, hypothesis testing, estimation, regression, and correlation analysis. Prerequisite: MTH 241.
MTH 300 Foundations in Mathematics
3 credits
An introduction to abstract mathematics with an emphasis on writing mathematical proofs. Topics include sets, functions, relations, Cartesian product, cardinality, axiom systems, natural numbers, real numbers, algebraic systems, groups, number theory, and history of mathematics. Prerequisite: MTH 241.
MTH 350 Linear Algebra
3 credits
Topics include computational and theoretical aspects of systems of linear equations, matrix calculations (including inverses and determinants), vector spaces, linear transformations, concepts of discrete mathematics (including graph theory and linear programming), and applications. Prerequisite: MTH 241.
MTH 352 Mathematics Teaching Methods
3 credits
Study of mathematical concepts, objectives, and classroom procedures appropriate for secondary schools. Topics include selection, preparation, and use of teaching materials including lesson plans, textbooks, mathematical tasks, manipulatives, graphing calculators, and mathematical software; teaching of specific topics in arithmetic, algebra, trigonometry, geometry, statistics, and calculus including appropriate conceptual models, problem solving strategies, and interdisciplinary applications and tasks; assessment of mathematical learning including mathematical writing, oral discussion, portfolios, and performance tasks; and the creation of an appropriate learning environment including an awareness of cultural diversity, special needs, different learning styles, and issues surrounding collaborative work. The course will emphasize pertinent literature and classroom implementation of current developments in mathematics curriculum and methodology, including topics in the history of mathematics and its integration in teaching. Co-requisite: EDU 346.
MTH 440 Real and Complex Analysis
3 credits
A study of the foundations of calculus. Topics include sequences, limits, continuity, differentiation, integration, infinite series, and complex functions. Prerequisites: MTH 300.
MTH 450 Abstract Algebra
3 credits
An introduction to the fundamental notions of modern algebra and their applications. Topics include groups, rings, fields, and morphisms. Prerequisite: MTH 440 or 460.
MTH 460 Geometry
3 credits
Topics include Euclidean and non-Euclidean geometries. Emphasis is placed on the parallels of Euclidean and hyperbolic geometries. Prerequisite: MTH 300.
MTH 479 Capstone Seminar
3 credits
This seminar will offer a capstone experience in the student’s own discipline within mathematics and computer information systems, as well as a capstone experience in the core curriculum. As a culminating experience in the discipline, this course will require each student to engage in a discipline-specific project under the supervision of a faculty member within the student’s own discipline. In addition, students will be asked to ponder and discuss topics relevant to all scientific endeavors. Such topics include, but are not limited to, nature of proof and research ethics. As a capstone for the core curriculum, this seminar will provide a setting for students to read and discuss texts which raise questions related to human nature, common good, justice, ethics, scientific expertise, and search for knowledge in the contexts of scientific research and technological development. Interdisciplinary communication will be emphasized throughout the course. Prerequisite: Completion of junior core seminar. This course does not fulfill the mathematics general distribution requirement.
MTH 1/2/3/485 Special Topics
1-3 credits
A study of topics in mathematics of special interest to a specific group of students. Prerequisite: Consent of instructor.
MTH 2/3/486 Independent Study
1-3 credits
Intensive individual work in an area of mathematics. Includes Honors Program research. Prerequisite: Consent of instructor, academic advisor, and division chairperson.