Course Descriptions – Mathematics

Course Scheduling:

Notice that upper-level requirements are offered on an every-other-year basis. Math majors should take care to enroll in required courses as they are offered. Upper-level courses which are required for the major are offered every other year.

MATH 0300 – DEVELOPMENTAL MATH – 3 hours. Basic algebra course covering variable expressions, linear equations, and inequalities, exponents, polynomials, factoring, roots, scientific and engineering notations, elementary graphing, and measurement unit and conversions. Offered every fall.

MATH 1120 – Trigonometry – 1 hour. Right triangle trigonometry and then trig functions and identities in general, vectors. This is the second part of MATH 1402, offered as a separate course for students who already have had college algebra. Students will join the class when the section on trigonometry begins. Offered in Fall

MATH 1300 – Elementary Mathematical Models – 3 hours. Applications of the basic functions of mathematics, with an emphasis on linear, exponential and logarithmic models, descriptive statistics and using the normal distribution. Offered every semester.

MATH 1301 – Math for Elementary Teachers I – 3 hours. A course designed for pre-service elementary and middle school teachers to assure the core content for mathematics is understood. In this course we will not only review the basic mathematics listed above, we will explore how to convey the concepts to the students through hands-on activities. Topics from reasoning, whole numbers, number theory, integers, and fractions. Offered in Fall

MATH 1302 – Math for Elementary Teachers II – 3 hours. A course designed for pre-service elementary and middle school teachers to assure the core content for mathematics is understood. In this course we will not only review the basic mathematics listed above, we will explore how to convey the concepts to the students through hands-on activities. Topics from decimals, rational and irrational numbers, & ration and proportions, geometry, and probability/statistics. Offered in Spring

MATH 1303 – Verticality of the Mathematics in PreK-12 Curriculum – 3 hours. This course will insure pre-service teachers have a sense of how concepts are introduced in the elementary curriculum and then woven through the middle/high school curriculum. The vertical nature of mathematics will be studied from fractions and decimal through algebra. Offered in even Fall

MATH 1311 – College Algebra – 3 hours. Polynomials and rational functions, equations and systems of equations, logs and exponentials, with applications. Prerequisites: Act 20 or Math 1300X. Offered in Spring

MATH 1400 – Probability and Statistics – 4 hours. An introduction to probability and statistics with applications. Intended for students of business, life sciences and social sciences. Prerequisites: ACT 20 or MATH 1300X. Offered every semester.

MATH 1401 – College Algebra and Trigonometry – 4 hours. Polynomials and rational functions, equations and systems of equations, logs and exponentials, right triangle trigonometry and then trig functions and identities in general, vectors. Prerequisites: ACT 20 or MATH 1300X. Offered in Fall

MATH 1402 –Calculus I – 4 hours. Differential and integral calculus with applications, including an introduction to differential equations. Prerequisites: Math 1401 or permission of the program director. Offered every semester.

MATH 2305 – Calculus II:– 3 hours. Methods of integration. Sequences and series. L’Hospital’s rule. Prerequisite: MATH 1402. Offered in Spring

MATH 2306 – Calculus III– 3 hours. Vector-values functions of a real variable and real-valued functions of a vector. Partial derivatives, multiple integrals and line integrals, Green’s theorem. Prerequisite: MATH 1402. Offered in Fall

MATH 3140, 3240, 3340 – Topics in Mathematics – 1-3 hours. Independent Study in mathematics at the junior level. Prerequisite: Consent of instructor. Offered on an irregular basis.

MATH 3301 – Differential Equations – 3 hours. Solutions, properties of solutions and applications for first order, first degree and for linear equations of arbitrary order; higher order and higher degree equations; simultaneous linear differential equations; series solutions. Prerequisite: MATH 2305 and 2306. Offered in odd Fall

Math 3303 Introduction into Higher Mathematics- 3 hours. A rigorous treatment of elements of logic and set theory including propositional calculus (statements, connectives, conditionals, negation), quantifiers, sets and operations on sets, mappings, equivalence relations, mathematical induction. Students are expected to work in an abstract setting using precise definitions and formal proofs. Offered in odd Fall

MATH 3305 – Problem Solving in Mathematics – 3 hours. Problems from logic, number theory and recreational mathematics with an emphasis on developing student awareness of the problem solving process. The course is designed to increase the student’s own problem solving ability and his or her ability to teach the process to others. This course counts as credit for a major only for those who obtain teacher certification. Offered in even Spring

MATH 3306 Applied Linear Algebra – 3 hours. Systems of linear equations, matrix algebra, inverses, matrix factorizations, determinants, vector spaces and dimension, rank, linear transformations, eigenvalues, and eigenvectors. Offered in even Fall

MATH 3307 – Linear Algebra — 3 hours. Vector spaces, linear transformations and matrices. Prerequisite: MATH 2306. Offered in odd Spring

MATH 3309 – Discrete Mathematics – 3 hours. Selected topics from number theory, logic, Boolean algebra and graph theory. Offered in even Spring

MATH 3320 – Statistics I – 3 hours. Statistics and probability using the concepts of calculus. Topics will include probability distributions and densities, random variables with the common distributions, moment generating functions, hypothesis testing. Prerequisites: MATH 2305 or permission of instructor. Offered in even Fall

MATH 3321 – Statistical Analysis – 3 hours. Concepts and methods of statistical research including simple regression and correlation, multiple regression, experimental design, analysis of variance, multiple comparisons and analysis of covariance. Prerequisite: MATH 1400 or MATH 3320 or permission of instructor. Offered in odd Spring

MATH 3404 – Geometry – 4 hours. An overview of geometry, primarily for education majors. Topics include the axiomatic method, non-Euclidean geometries, transformation geometry and analytic geometry. Prerequisite: MATH 1401 or consent of the instructor. Offered in even Springs.

MATH 4300 – Topics in Mathematics – 3 hours. Advanced topics to be assigned by the department. Prerequisite: Mathematics major and junior standing. May be repeated for credit. Offered on an irregular basis.

MATH 4301 – Analysis — 3 hours. The first course in the analysis sequence begins a rigorous critical study of the real numbers. Topics include the distinctions between the real and the rational number systems, the theory of sequences, limits of functions, and continuity. Mathematical writing and mathematical proof will be emphasized. Prerequisite: MATH 2305 and 2306. Offered in odd Fall

MATH 4302 – Abstract Algebra – 3 hours. Groups and subgroups, including cyclic abelian, finite, permutation groups, group homomorphisms, cosets and etc. Introduction into rings and fields. Mathematical writing and mathematical proof will be emphasized. Offered in even Fall

MATH 4303 – Partial Differential Equations – 3 hours. Equations of first and second order, wave equations, heat equations, Laplace equations. Application of equations to mathematical physics including Fourier Series. Prerequisite: MATH 3301. Offered in even Spring

MATH 4312 Abstract Algebra II – 3 hours Introduction into rings, integral domains, fields, polynomials, quotient rings, Galois theory, alternating groups, and symmetry. Offered in odd Spring,

MATH 4313 – Analysis II – 3 hours. The second course in the analysis sequence continues a rigorous critical study of the real numbers. Topics include continuity, derivatives, and integrals. Mathematical writing and mathematical proof will be emphasized. Offered in even Spring