# Mathematics Course Descriptions

**Course offerings listed below may vary from year to year based on course availability.**For the most up-to-date courses, course requirements and descriptions, always refer to the current University Catalog. View the current Catalog here.

**CIS 150 - Programming Fundamentals
3 Credits **Introduction to structured programming techniques, design, and style. Concepts of
modularity and elementary data structures are introduced. The laboratory component
of the course emphasizes the logical approach to problem solving through the analysis
of concrete examples and programming problems.

Prerequisite: MTH 102 or equivalent.

**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. Not open to students with Credit for MTH 345.

**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 127 or MTH 128 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, functions of two or more variables, partial differentiation,
multiple integrals in rectangular, cylindrical, and spherical coordinate systems,
optimization, line integrals, vector fields, major theorems of vector calculus, and
applications.

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 integers, natural, rational, and irrational numbers, complex numbers
and their properties. Special emphasis will be placed on concepts involving sets,
cardinality, functions and their properties. Proof techniques include direct proof,
proof by contradiction, proof by contrapositive, and mathematical induction.

Prerequisite: MTH 241.

**MTH 345 - Discrete Structures and Objects
3 Credits **A proof-based introduction to the notions of discrete structures and the objects they
encompass. Foundational concepts may include combinatorics, probability, graph theory,
lattices, Boolean algebra, and algebraic structures. Applications introduced may include
coding theory and cryptography.

Prerequisite: MTH 300.

**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 **This course focuses on the theories, methods, techniques, strategies, materials, technology,
and assessment procedures applicable to the teaching of mathematics in grades 7 -
12. Students will apply knowledge of major mathematics concepts, algorithms, procedures,
connections, and applications within and among mathematical content domains in order
to plan effective lessons and units which implement both state and national standards
for mathematics, and include the selection, implementation, and interpretation of
formative and summative assessments to monitor student learning and inform instruction.

The course will emphasize pertinent literature and classroom implementation of current developments in mathematics curriculum and methodology, utilizing print and digital resources from professional mathematics education organizations. Students will apply mathematical content and pedagogical knowledge to select and determine the appropriate use of instructional tools such as manipulatives and physical models, virtual environments, spreadsheets, presentation tools, and mathematics-specific technologies (e.g., graphing tools, interactive geometry software, computer algebra systems, and statistical packages). Includes a minimum of 30 hours of field experience under the direction of a highly qualified mathematics teacher and a university supervisor.

May be a co-requisite with EDU 410. Please see EDU 410 course description for details.

**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 review of Euclidean Geometry and development of Hyperbolic geometry.
Special emphasis is placed on the underlying axiomatic systems and their historical
development. Analytic geometry, transformations, and some classic theorems of Euclidean
geometry will be discussed. Students are expected to utilize mathematical software.

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
1-4 Credits **A study of topics in mathematics of special interest to a specific group of students.
MTH 185 does not fulfill the mathematics requirement of the Core Curriculum.

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.

**PHY 219 - General Physics I
4 Credits **A calculus-aided study of mechanics: translational and rotational motion, the laws
of conservation of energy and momentum, hydrostatics and hydrodynamics, and basic
thermodynamics; includes laboratory.

Prerequisite: MTH 240 or equivalent.

**PHY 220 - General Physics II
4 Credits **A calculus-aided study of electricity and magnetism, optics, introductory modern physics,
and simple harmonic waves; includes laboratory.

Co-requisite: MTH 241.