Division of Natural Science-
Department of Mathematics

Courses:

MTH 0153 Intermediate Algebra (Three hours)
Designed for students who need to take College Algebra or Trigonometry but who have insufficient background for those courses. This course covers the fundamentals of algebra including simplification of algebraic expressions, solving equations, and graphing techniques. Does not satisfy any math requirements; credit does not apply toward minimum hours required for graduation.

Offered fall semester

MTH 1003 Quantitative Literacy (Three hours)
A course to give students tools to be critical readers of current issues involving quantitative data and to understand the concepts of statistics, the science of gaining information from numeric data. Applications of the use of data from a wide variety of professions, public policy, and everyday life. The study will focus on methods of producing data, organizing data, and drawing conclusions from data. Topics may include sampling; experiments and experimental design; measurement, validity, and accuracy; describing distributions; understanding relationships and correlation; consumer price index; confidence intervals; and statistical significance.
Prerequisite: ACT Math Score of at least 19 or equivalent, or MTH 0153

Offered each semester

MTH 1113 College Algebra (Three hours)
Topics include solving equations and systems of equations, functions and graphing, complex numbers, inequalities, logarithms, exponentials, sequences, series, mathematical induction, and the binomial theorem.
Prerequisite: ACT Math Score of at least 19 or equivalent, or MTH 0153

Offered each semester

MTH 1122 Trigonometry (Two hours)
Foundations and applications, including the trigonometric functions and their graphs, proving identities, analytic trigonometry, solution of triangles, polar coordinates, two dimensional vectors, dot products, and DeMoivre’s Theorem for powers and roots of complex numbers.
Prerequisite or corequisite: MTH 1113

Offered spring semester

MTH 1123 Survey of Calculus (Three hours)
An introduction to the concepts of differentiation and integration. An emphasis is placed on applied problems in physical, life, and social sciences. A student may not earn credit in both MTH 1123 and 1134.
Prerequisites: ACT Math Score of at least 24 or equivalent, or MTH 1113 and 1122

Offered spring semester

MTH 1134 Calculus I (Four hours)
A study of the foundational principles of calculus with an emphasis on derivatives of functions of one variable and an introduction to integrals. A strong emphasis is placed on application to problems in science and engineering.
Prerequisites: four years of high school mathematics and an ACT Math score of 24 or equivalent, or MTH 1113 & 1122

Offered fall semester

MTH 1144 Calculus II (Four hours)
A continuation of the study of fundamental calculus concepts, with special emphasis on integration and the use of infinite series. Applications to problems in physics, probability theory, and engineering are emphasized.
Prerequisite: MTH 1134

Offered spring semester

MTH 2103 Statistics with Computer Applications (Three hours)
A study of statistical methods including frequency distributions, descriptive statistics, probability distributions, hypothesis testing-one sample and two sample z and t tests, analysis of variance-one-way between-groups, one-way repeated measures, twoway between-groups, correlation, and regression. Use of personal computer application programs for collecting, storing, analyzing, and presenting data in textual and graphical forms are emphasized, as well as the use of a high end word processor, spreadsheet,
database, graphics, statistical, and desktop publishing program for producing high quality reports and presentations. Also includes use of on-line databases and networks for data gathering.
Prerequisites: computer literacy, and MTH 1113 or equivalent

Offered spring semester

MTH 2114 Linear Algebra and Differential Equations (Four hours)
A continuation of the study of differential equations as begun in Calculus II with special emphasis on applications to problems in physics and engineering. The course also includes an introduction to linear algebra as this subject forms the basis for the study of higher dimensional systems of differential equations. In preparation for MTH 2123, the course ends with an introduction to vectors in two and three dimensional space.
Prerequisite: MTH 1144

Offered fall semester

MTH 2123 Vector Calculus (Three hours)
An introduction to the study and application of multivariable and vector calculus.
Prerequisite: MTH 2114

Offered spring semester

MTH 2143, 2183 Mathematical Structures I, II (Each course, three hours)
A presentation of mathematics in a format that prepares teachers of elementary school mathematics. Topics include problem-solving, sets and logic, functions, the mathematical meaning and background of arithmetic through real numbers, number theory, probability and statistics, introductory geometry, geometric constructions, congruence, similarity, measurement, and coordinate geometry.
Prerequisite for 2143: ACT Math Score of at least 19 or equivalent, or Passing Score (State Level) on Praxis I—Math, or MTH 0153 with grade 'C' or better.
Prerequisite for 2183: MTH 2143

2143 offered fall semester
2183 offered spring semester

MTH 3103 Foundations of Mathematics (Three hours)
Introductory predicate logic, set theory, and methods of mathematical proof. The general techniques learned will be applied to topics from discrete mathematics, cardinality, metric spaces, algebraic structure, and field properties of real numbers.
Prerequisite: MTH 1144

Offered fall semester

MTH 3113, 4113 Selected Topics (Three hours)
Topics are chosen from various branches of mathematics such as set theory, number theory, complex variables, history of mathematics, combinatorics, and topology. May be repeated for credit when a different topic is studied.
Prerequisite: consent of instructor

Offered upon sufficient request

MTH 3143 Topics in Mathematics Education (Three hours)
An introduction to the philosophy and practice of teaching mathematics. Discussion and analysis of current trends and an introduction to the literature.
Prerequisite: MTH 1134, or MTH 1123 and 2183

Offered fall semester (even-numbered years)

MTH 3153 Foundations of Geometry (Three hours)
An introduction to the theory of Euclidian, neutral, Lobachevskian, Riemannian, incidence, and affine geometrics, together with linear, planar and spatial order properties. Designed primarily for prospective secondary teachers of mathematics.
Prerequisite: MTH 1134, or MTH 1123 and 2183

Offered fall semester (odd-numbered years)

MTH 3173 Mathematical Modeling and Simulation (Three hours)
A study of the building of mathematical models and computer simulations to describe selected topics from physical, biological, and social sciences.
Prerequisites: MTH 2123 and CS 1113

Offered upon sufficient request

MTH 3183 Probability and Statistics (Three hours)
An introduction to the theory of probability and statistical inference including discrete and statistical inference, discrete and continuous random variables, sampling distributions, the Central Limit Theories, estimation, and hypothesis testing.
Prerequisite: MTH 1144

Offered spring semester

MTH 4101 Readings (One hour)
A directed experience in reading in the mathematical literature.
Prerequisite: MTH 1144

Offered each semester

MTH 4123 Abstract Algebra (Three hours)
An introduction to modern algebra and algebraic structures such as groups, rings, integral domains, and fields.
Prerequisites: MTH 2114 and MTH 3103

Offered spring semester (even-numbered years)

MTH 4143 Real Analysis (Three hours)
A systematic study of topics in mathematical analysis such as the real number system, sequences, limits, continuity, differentiation, and integration.
Prerequisites: MTH 2123 and MTH 3103

Offered spring semester (odd-numbered years)