Mathematics Science Classes
MTH 121
MATHEMATICS FOR EARLY AND MIDDLE GRADE TEACHERS I includes such topics as an introduction to problem solving, set theory, functions, logic, numeration systems, and other number bases, and an overview of the real number system with its subsystems and related properties. Historical development and mathematical connections are stressed. The course is only for majors pursuing early childhood, middle grades, or intervention specialist licensure.
3 credit hours
MTH 122
MATHEMATICS FOR EARLY AND MIDDLE GRADE TEACHERS II provides application of real and complex numbers, algebraic thinking, Cartesian coordinate system, computing interest, probability and multistage experiments, statistics, and geometry utilizing graphic calculators. This course is only for majors pursuing early childhood, middle grades, or intervention specialist licensure.
3 credit hours
MTH 123
MATH/AYA GRADES III includes a comprehensive overview to problem solving strategies, set theory, introductory logic, numeration systems, algebraic relationships, mathematical applications, statistics, probability, geometry, measurement, and coordinate functions using graphing calculators and stressing the historical contributions of mathematicians. This course is limited to candidates seeking adolescent to young adult licensure in integrated mathematics.
3 credit hours
MTH 134
ELEMENTS OF GEOMETRY is designed for education majors and focuses on properties of geometric figures, geometric relations (congruence and similarity), measurement, estimation, plane geometry, Euclidean and non-Euclidean geometries, coordinates and transformations, and deductive arguments. The course will also include historical highlights; teaching techniques and learning styles; and the use of technology in instruction. Students will frequently engage in group activities and peer teaching.
Prerequisites: MTH 121 and 122, or MTH 155
3 credit hours
MTH 151
ELEMENTARY APPLIED ALGEBRA presents elementary algebraic concepts along with their applications. The applications are often used as motivation for studying certain algebraic topics.
(Communications Core)
3 credit hours
MTH 155
FINITE MATHEMATICS is an introduction to mathematical topics and applications required by many college level major programs. The material covered includes equations, inequalities, systems of linear equations and matrices, linear programming, mathematics of finance, and probability.
Prerequisite: 1 year of high school algebra or MTH 151
3 credit hours
MTH 156
APPLIED CALCULUS is intended to follow MTH 155. Topics include precalculus review, functions, limits differentiation and application of the derivative and integration and applications of the integral.
Prerequisite: 2 years of high school algebra or MTH 155
3 credit hours
MTH 160
PRECALCULUS presents selected topics from algebra and elementary functions as preparation for studying calculus.
(Communications Core)
Prerequisite: Two years of high school mathematics including algebra and plane geometry or MTH 151
3 credit hours
MTH 161
ANALYTIC GEOMETRY AND CALCULUS I studies inequalities, relations, functions, graphs, straight lines, limits and continuity, differentiation, and the definite integral. Students will complete computer symbolic algebra (DERIVE) experiments. Historical and career information is included.
Prerequisite: Three years of high school mathematics including two years of algebra or MTH 160
4 credit hours
MTH 162
ANALYTIC GEOMETRY AND CALCULUS II studies conics, trigonometric and exponential functions, parametric equation and arc length, polar coordinates, infinite series, and methods of integration and applications. Students will complete symbolic algebra (DERIVE) experiments.
Prerequisite: MTH 161
4 credit hours
MTH 171
MATRIX THEORY I focuses on elementary matrix algebra, which has become an integral part of the mathematical background necessary for such diverse fields as electrical engineering, education, chemistry and sociology, as well as for statistics, computer science and pure mathematics. Application is made to the solution of linear systems.
Corequisite: MTH 161
1 credit hour
MTH 172
MATRIX THEORY II continues with the applications of matrix algebra to the solution of linear systems and to linear transformations on abstract vector spaces. A special emphasis is placed on applications to computer science.
Prerequisite: MTH 171
Corequisite: MTH 162
1 credit hour
MTH 179
HISTORY OF MATHEMATICS provides an introduction to the historical and philosophical development of mathematics, including the contributions of underrepresented groups and diverse cultures.
1 credit hour
MTH 220
DISCRETE MATHEMATICS surveys proof techniques, recursion, induction, modeling, and algorithmic thinking. Other topics covered include set theory, discrete number systems, combinatorics, graph theory, Boolean algebra, and a variety of applications. There is an emphasis on oral and written communication of mathematical ideas, cooperative learning and the proofs of mathematical conjectures.
Prerequisite: MTH 161
3 credit hours
MTH 261
ANALYTIC GEOMETRY AND CALCULUS III considers solid analytic geometry, vectors, partial differentiation, and multiple integration. Students will use graphing calculators and will complete computer symbolic algebra (MAPLE) experiments.
Prerequisite: MTH 162
4 credit hours
MTH 265
DIFFERENTIAL EQUATIONS presents ordinary differential equations and their applications with an emphasis on techniques of solution including numerical methods.
Prerequisite: MTH 261
3 credit hours
MTH 305
INTRODUCTION TO ABSTRACT ALGEBRA develops the structural concepts that characterize abstract algebra. Topics in this course will be selected from the following: elementary number theory, groups, rings, integral domain, fields, and vector spaces. There is an emphasis on the oral and written communication of mathematical ideas. Students will frequently work in groups on special projects.
Prerequisites: MTH 161-162, 220
3 credit hours
MTH 333
INTERMEDIATE LINEAR ALGEBRA is a course in finite dimensional vector spaces and linear transformations, including inner product spaces, determinants, eigenvalues and eigenvectors.
Prerequisite: MTH 162, MTH 172, and MTH 220
3 credit hours
MTH 335
JUNIOR SEMINAR is designed to teach mathematical science majors the skills necessary to learn mathematics on their own and communicate their knowledge to others in oral and written form. All students will attend presentations made by senior mathematics students. Students will be required to write a short, independently researched paper and present it to the other students in the junior seminar.
1 credit hour
MTH 341-342
OPERATIONS RESEARCH I & II introduces mathematical solutions to a variety of problems in Business, industry, and government. The first course emphasizes linear programming and the second course discrete or probabilistic models. Emphasis will be placed on computer and spreadsheet modeling techniques, including activity files for use with software such as Excel.
Prerequisites: MTH 161-162
3 credit hours per semester
MTH 391
ADVANCED CALCULUS FOR APPLICATIONS covers the topics of vector field theory, Fourier series, and partial differential equations.
Prerequisite: MTH 265
3 credit hours
MTH 401
MATHEMATICAL STATISTICS I introduces a statistical basis for decision making to the student of applied science in this modern tool of analysis. This will be accomplished by studies in probability theory for both discrete and continuous sample spaces and in an introduction to statistical inference.
Prerequisites: MTH 161-162
3 credit hours
MTH 402
MATHEMATICAL STATISTICS II is a continuation of MTH 401 covering additional concepts and techniques of statistics with an emphasis on problem-solving approaches.
Prerequisite: MTH 401
3 credit hours
MTH 408
INTRODUCTION TO FUNCTIONS OF A COMPLEX VARIABLE liberates the mathematician from the restrictions imposed by the domain of real numbers when the broader field of complex numbers is made available. Beginning with a study of complex numbers, this course introduces the algebra and the calculus of elementary functions.
Prerequisite: MTH 261
3 credit hours
MTH 420
INTRODUCTION TO REAL ANALYSIS gives a theoretical presentation of the real numbers, sequences and their limits, including lim sup and lim inf; continuity; sequences of functions and pointwise and uniform convergence; and the (point set) topology of the reals.
Prerequisites: MTH 220, 261 and 332
3 credit hours
MTH 430
NUMERICAL ANALYSIS provides students with an intuitive and working understanding of numerical methods of problem solving, an appreciation of the concept of error and the need to control it, and the ability to implement numerical methods using a computer. Topics include: approximation of functions, interpolation, error analysis, numerical integration and differentiation, numerical linear algebra, and numerical solutions to differential equations.
Prerequisites: MTH 161-162 and either CSC 141 or 280
3 credit hours
MTH 434
SENIOR THESIS requires all mathematical science students to write a thesis on an approved mathematical topic. Students must consult closely with a departmental faculty member at each stage in the development of their theses. The thesis will be presented to students in the Junior Seminar.
1 credit hour