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  • MAT 271: Introduction to Math Models
    1.00 Credits
    The University of Tennessee Southern

    This course will examine some basic mathematical models that have applications in finance, economics, biology, and other fields. Topics will include financial calculations, models using exponential and logarithmic functions, Markov chains, and using series approximation. Some basic numerical analysis will also be examined, including propagation of error arising from approximated values. This course is intended for mathematics majors and minors. Prerequisite: MAT 241. Fall.
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  • MAT 310: Linear Algebra
    3.00 Credits
    The University of Tennessee Southern

    This course will focus on vectors, vector spaces, linear transformations, and matrices. Some consideration will be given to solving linear systems of equations, as well as applications of these ideas. Prerequisite: MAT 241. Spring, odd-numbered years.
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  • MAT 330: History of Mathematics
    3.00 Credits
    The University of Tennessee Southern

    This course will provide an historical and philosophical overview of the development of mathematical thought from ancient civilizations through the development of calculus to modern times. There will be some examination of the people and cultures associated with these developments as well as a look at the original theorems, proofs, and methods, when available. The instructor will have a large amount of discretion when it comes to the organization of the course as well as what topics or developments will be covered. Prerequisite: MAT 235 or permission of the instructor. Spring, even-numbered years.
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  • MAT 350: Foundations of Mathematics
    3.00 Credits
    The University of Tennessee Southern

    This course will introduce students to the foundations of modern mathematics, including basic logic, sets, functions, cardinality, and relations as well as basic proof techniques. The course will also consider basic ideas and theorems from number theory. This is considered a �first proofs course,� and it is the prerequisite for higher level mathematics courses. Prerequisites: MAT 235, 241. Spring.
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  • MAT 370: Geometry
    3.00 Credits
    The University of Tennessee Southern

    This course will present an axiomatic approach to Euclidean geometry. Other geometries such as non-Euclidean and finite geometries will be examined. Prerequisite: MAT 350. Fall, odd-numbered years.
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  • MAT 385: Survey of Discrete Mathematics
    3.00 Credits
    The University of Tennessee Southern

    This course is an introduction to advanced structures in discrete mathematics, excluding graph theory. The course will focus on two or more areas in discrete mathematics, such as enumerative combinatorics, order theory, lattices, design theory, Boolean algebra, finite geometries, applications of discrete structures, or other areas chosen by the instructor. Prerequisites: MAT 235. Spring day, even years.
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  • MAT 390: Topics in Mathematics
    3.00 - 12.00 Credits
    The University of Tennessee Southern

    This course will cover an area of advanced mathematics of interest to the instructor and the students. This course may be repeated for credit with the permission of the mathematics program. Prerequisite: MAT 350 or permission of the instructor. Additional prerequisites may also be required depending on the topic. Spring, on-demand.
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  • MAT 420: Abstract Algebra
    3.00 Credits
    The University of Tennessee Southern

    This is an introduction to algebraic systems, including groups, rings, and fields. Prerequisite: MAT 350. Fall, odd-numbered years.
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  • MAT 430: Graph Theory
    3.00 Credits
    The University of Tennessee Southern

    This course is an introduction to graph theory. Topics may include trees, matchings, vertex coloring, edge coloring, Euler circuits, Hamilton circuits, planar graphs, graph connectivity, and applications of graph theory. Prerequisites: MAT 350. Fall day, even years.
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  • MAT 440: Real Analysis
    3.00 Credits
    The University of Tennessee Southern

    This course will consider the structure of the real numbers and the properties of real-valued functions. This may include a study of sequences, limits, continuity, differentiability, and integrability. Prerequisite: MAT 350. Fall, even-numbered years.
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