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MTH 110 - Mathematical Perspectives I Semester Hours: 4
An introduction to quantitative concepts and skills, which enable students to interpret and reason with quantitative information. While each section of the course fulfills the quantitative reasoning requirement, the topics covered may vary from section to section. Meets Quantitative Reasoning Intellectual Perspective requirement (QR).
Intellectual Perspective: QR
When Offered: (Offered every semester.)
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MTH 124 - Mathematical Perspectives II Semester Hours: 2
This course continues the development of concepts and skills that will enable students to interpret and reason with quantitative information. This course is only open to education majors and secondary education minors.
Prerequisite: C- or higher in MTH 110 or MTH 131 or MTH 135 or appropriate advanced placement credit.
When Offered: (Offered every semester).
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MTH 131 - Applied Calculus Semester Hours: 4
A one-semester study of applications of differential and integral calculus with emphasis on polynomials, exponential functions, logarithmic functions, business and economics applications. This course is for individuals with a good high school background in mathematics. This course does not provide the background for a student to continue on to Calculus II. Not available to students who have credit for MTH 150 , MTH 152 , or MTH 250 . Meets Quantitative Reasoning Intellectual Perspective requirement (QR).
Intellectual Perspective: QR
When Offered: (Offered every semester.)
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MTH 135 - Concepts of Statistics Semester Hours: 4
An introduction to the concepts of statistics. Topics include graphical and numerical summaries of data, confidence intervals and significance tests about hypotheses. Emphasis is placed on conceptual understanding and interpretation of data and statistics. Not available to students who have credit for ECO 220 , PSY 201 , SSC 251 , BIO 206 . Meets Quantitative Reasoning Intellectual Perspective requirement (QR).
Intellectual Perspective: QR
When Offered: (Offered Spring semester.)
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MTH 150 - Calculus I Semester Hours: 4
This course will focus on the fundamentals of differential calculus. Topics considered include functions, limits, continuous functions, differentiation and integration of functions with one real variable, applications of differentiation and the Fundamental Theorem of Calculus. Students will be introduced to some basic calculus proofs. This course is suggested for all students who expect to continue for any advanced degree including finance, law, and medicine. Meets Quantitative Reasoning Intellectual Perspective requirement (QR).
Intellectual Perspective: QR
When Offered: (Offered every semester.)
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MTH 152 - Calculus II Semester Hours: 4
This course will focus on the fundamentals of integral calculus, including techniques and applications of integration. Other topics include infinite series and introductory topics from differential equations. Meets Quantitative Reasoning Intellectual Perspective requirement (QR).
Prerequisite: C- or better in MTH 150 or the permission of the instructor.
Intellectual Perspective: QR
When Offered: (Offered every semester.)
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MTH 199 - Experimental Course Semester Hours: 1-4
Experimental course.
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MTH 241 - Discrete Mathematics Semester Hours: 4
An introduction to discrete mathematics. Topics covered include logic, sets, functions, relations, counting, mathematical induction, recurrence relations, and graphs. The topics are tied together through an emphasis on proof techniques and mathematical writing.
Prerequisite: C- or better in MTH 150 or MTH 131 .
When Offered: (Offered Fall semester.)
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MTH 250 - Calculus III Semester Hours: 4
An introduction to the calculus of several variables. Topics include the geometry of three-dimensional space, partial derivatives, multiple integrals, and vector calculus. Meets Quantitative Reasoning Intellectual Perspective requirement (QR).
Prerequisite: C- or better in MTH 152 .
Intellectual Perspective: QR
When Offered: (Offered Fall semester.)
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MTH 253 - Differential Equations Semester Hours: 4
The study of differential equations and their applications in the natural sciences. Topics include linear differential equations, series solutions, Laplace transformations, systems of equations, an introduction to partial differential equations, boundary value problems and application of differential equations.
Prerequisite: C- or better in MTH 250 .
When Offered: (Offered on demand.)
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MTH 261 - Linear Algebra Semester Hours: 4
An introduction to matrix algebra and general vector spaces. Topics include systems of linear equations, matrix operations and properties, determinants, vector spaces and subspaces, linear transformations, linear independence and span, bases, coordinate systems, eigenvalues and eigenvectors, inner product spaces, and orthogonality.
Prerequisite: C- or better in MTH 250 .
When Offered: (Offered Spring semester.)
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MTH 299 - Experimental Course Semester Hours: 1-4
Experimental course.
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MTH 302 - Probability Semester Hours: 2
An introduction to the mathematics of basic probability theory. Topics include general probability concepts, random variables, and discrete and continuous probability distributions.
Prerequisite: C- or better in MTH 241 and in MTH 250 .
When Offered: (Offered Spring semester, odd years.)
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MTH 310 - Special Topics: History of Mathematics Semester Hours: 4
This elective course will investigate an area of mathematics outside of the core mathematics curriculum. A description of the topic will be distributed prior to registration.
Prerequisite: C- or better in MTH 241 .
When Offered: (Offered on demand.)
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MTH 311 - Special Topics: Graph Theory Semester Hours: 4
This elective course will investigate an area of mathematics outside of the core mathematics curriculum. A description of the topic will be distributed prior to registration.
Prerequisite: C- or better in MTH 241 .
When Offered: (Offered on demand.)
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MTH 312 - Special Topics: Fractals Semester Hours: 4
This elective course will investigate an area of mathematics outside of the core mathematics curriculum. A description of the topic will be distributed prior to registration.
Prerequisite: C- or better in MTH 241 .
When Offered: (Offered on demand.)
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MTH 316 - Special Topics: Cryptology Semester Hours: 4
An introduction to cryptography and cryptanalysis. In the course, we will study the mathematics behind encryption and decryption. We will explore various techniques used to encrypt plaintext, to decipher intercepted ciphertext, and methods used to increase the security of encryption.
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MTH 321 - Numerical Analysis Semester Hours: 4
This course explores the development of methods to approximate the solutions to differential equations, zeros of functions, solutions to linear systems of equations, as well as analysis of errors involved in using these methods.
Prerequisite: C- or better in MTH 250 and either CS 151 or PHY 152 .
When Offered: (Offered on demand.)
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MTH 331 - College Geometry Semester Hours: 2
An examination of the axiomatic foundations of non-Euclidean and Euclidean geometry.
Prerequisite: C- or better in MTH 241 .
When Offered: (Offered Spring semester, odd years.)
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MTH 335 - Statistics Semester Hours: 4
An introduction to statistics. Topics include exploratory data analysis, descriptive and inferential statistics. Both classical, and bootstrapping and randomization approaches to inferential analysis are taken.
Prerequisite: C- or better in MTH 250.
When Offered: (Offered on demand.)
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MTH 341 - Operations Research Semester Hours: 4
An introduction to the major mathematical methods of operations research. Included are linear programs and methods of solutions, network flow models, markov chains and game theory.
Prerequisite: C- or better in MTH 261 .
When Offered: (Offered on demand.)
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MTH 361 - Abstract Algebra Semester Hours: 4
A study of algebraic structures and their properties with an emphasis on mathematical writing and the construction of proofs. Topics include groups, rings, fields, homomorphisms, cosets, and quotients.
Prerequisite: C- or better in MTH 261 and in MTH 241 .
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MTH 399 - Experimental Course Semester Hours: 1-4
Experimental course.
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MTH 431 - Teaching Mathematics in Secondary Schools Semester Hours: 4
Educational theory, methodologies and instructional models pertaining to the teaching of mathematics on the secondary level, teaching strategies for specific mathematical concepts, recognition and awareness of necessary problem-solving and cognitive skills. The National Council of Teachers of Mathematics standards will be perused and discussed. Much of this will be embedded in the mathematics of geometry. This course is open only to those junior and senior mathematics majors who plan to student teach.
Prerequisite: C- or better in MTH 261 and SED 201 or by permission of instructor.
When Offered: (Offered Fall semester, odd years.)
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MTH 451 - Real Analysis Semester Hours: 4
A study of the analytic properties of real functions and sequences. Topics include set theory, the real number system, limits, continuous functions, differentiation, Riemann integration, sequences, and series.
Prerequisite: C- or better in both MTH 241 and MTH 261 .
When Offered: (Offered spring semester.)
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MTH 481 - Topology Semester Hours: 4
An introductory course covering set theory, continuous mappings, homeomorphisms, connectedness, compactness, metric spaces, product spaces and quotient spaces.
Corequisite: MTH 361 .
When Offered: (Offered on demand.)
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MTH 499 - Experimental Course Semester Hours: 1-4
Experimental course.
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MTH 590 - Field Experience/Internship Semester Hours: 1-4
Prerequisite: MTH 261 , junior or senior standing and consent of department.
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MTH 601 - Capstone Semester Hours: 4
This capstone course, designed for all mathematics majors, offers the opportunity for students to review and integrate their knowledge. The format of the course includes a major presentation.
Prerequisite: C- or better in MTH 361 .
When Offered: (Offered Fall semester.)
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MTH 611 - Advanced Topics: Lie Theory Semester Hours: 1-4
This course will investigate a new topic in mathematics or provide a deeper study of an existing topic in the mathematics curriculum. A description of the topic will be distributed prior to registration.
Prerequisite: Minimum of C- or better in MTH 261 .
When Offered: (Offered on demand.)
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MTH 612 - Advanced Topics: Complex Analysis Semester Hours: 1-4
This course will investigate a new topic in mathematics or provide a deeper study of an existing topic in the mathematics curriculum. A description of the topic will be distributed prior to registration.
Prerequisite: Minimum of C- or better in MTH 261 .
When Offered: (Offered on demand.)
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MTH 614 - Advanced Topics Semester Hours: 1-4
This course will investigate a new topic in mathematics or provide a deeper study of an existing topic in the mathematics curriculum. A description of the topic will be distributed prior to registration.
Prerequisite: Minimum of C- or better in MTH 261 .
When Offered: (Offered on demand.)
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MTH 620 - Independent Study Semester Hours: 1-4
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MTH 660 - Honors Research Semester Hours: 1-4
Prerequisite: Honors status and departmental approval.
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MTH 670 - Honors Research Semester Hours: 1-4
Prerequisite: Honors status and departmental approval.
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MTH 680 - Honors Research Semester Hours: 1-4
Prerequisite: Honors status and departmental approval.
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MTH 690 - Honors Research Semester Hours: 1-4
Prerequisite: Honors status and departmental approval.
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