Undergraduate Courses in Mathematics and Statistics
(MTH or STA prefix)
098. Fundamental Mathematics - Computations and applications involving fractions, decimals, percent,
ratio and proportion, properties of the real number system, linear equation solving, beginning algebraic
concepts, and geometry. Will not count toward any degree requirement
including elective credit. May be required of students with a marginal
background in math.
099. Fundamentals of College Algebra - Real number system,
polynomials, exponents, radicals, first and second degree equations,
inequalities, functions, graphs, systems of equations. Will not count
toward any degree requirement including elective credit. May be required
of students with a marginal background in math.
110. Math in Society - Provides an introduction
to mathematical thinking emphasizing analysis of information for decision-making. See general
course prerequisites.
127. Introduction to Mathematics for Elementary Teachers
(MATH 1350) - Elementary concepts of sets and logic, numeration systems,
number theory and properties of the natural numbers, integers,
rational, and real number systems with an emphasis on problem solving
and critical thinking. See general
course prerequisites.
128. Intermediate Mathematics for Elementary Teachers (MATH
1351) -
Elementary concepts of geometry and measurement, probability, and
statistics with an emphasis on problem solving and critical thinking.
Prerequisite: MTH 127 or the equivalent.
129. Concepts and Applications - Problem Solving and
critical thinking skills applied to the study of a broad range of topics including number theory, sequences and
series, recursion, data analysis, mathematical modeling and algebra including connections to the grades EC-4
classroom. Students will be required to have a graphics calculator. Prerequisite: MTH 127 and 128.
133. Plane Trigonometry (MATH 1316) - Trigonometric
functions of
angles, radian measure, fundamental identities; addition, product, and
half angle formulas, solution of triangles; polar coordinates; inverse
trigonometric functions, complex numbers. Students may be required to
have a graphics calculator. See general
course prerequisites.
138. College Algebra (MATH 1314) - Real numbers, relations
and functions,
inequalities, matrices, theory of equations, complex numbers, mathematical
induction, sequences and series, binomial theorem, permutations and combinations.
Students may be required to have a graphics calculator. See general
course prerequisites.
139. Plane Analytic Geometry (MATH 1348) - A beginning
course in plane
analytic geometry including the straight line, the circle, parabola, hyperbola,
and the transformation of coordinates. Students may be required to have a
graphics calculator. Prerequisites: MTH 133 and 138 or the equivalent.
140. Precalculus (MATH 2312) - Five semester hours. Preparatory for the calculus sequence: properties and graphs of algebraic, exponential, logarithmic, and trigonometric
(with inverses); fundamental trigonometric identities; conic sections; polar and rectangular coordinate systems.
143. Finite Mathematics (MATH 1324) - Mathematical
functions and graphs,
linear systems of equations, matrices, linear programming, mathematics of
finance; applications. See general
course prerequisites.
144. Elements of Calculus with Applications for Business (MATH
1325) -
Limits and continuity, the derivative, the antiderivative, the definite
integral; applications. Prerequisite: MTH 143.
220. Introduction to Probability and Statistics (MATH 1342) -
Probability, random variables, mean and variance, binomial distribution,
normal distribution, statistical inference and linear regression. See general
course prerequisites.
233. Calculus I (MATH 2413) - Four semester hours. Limits, continuity,
differential calculus
of algebraic and trigonometric functions with applications. Students may
be required to have a graphics calculator. Prerequisite: MTH 139.
234. Calculus II (MATH 2414) - Four semester hours. Integral calculus with
applications,
techniques of integration, calculus of transcendental functions,
indeterminant forms, improper integrals. Students may be required to have
a graphics calculator. Prerequisite: MTH 233.
264. Elementary Topics in Mathematics and Statistics - Elementary topics in
scientific computing, algebra, number theory, applied mathematics, geometry,
probability and statistics. May be repeated once for credit on a different
topic. Does not count toward a major or minor in mathematics. See general
course prerequisites.
300. Foundations of Mathematics - Set theory, relations,
functions,
mathematical structure, logic and proof. Prerequisite: MTH 138 and either MTH 306 or MTH 129.
301. Mathematics and Technology - Analysis of
numerical approaches to problem solving using technology and appropriate software with connections
to the 4 - 8 classroom. Topics include roots of polynomials, series, geometry, functions,
random numbers, and limiting processes. Students will be required to have a graphing calculator.
Prerequisite: MTH 300.
302. History of Mathematics - A study of the historical
development of mathematical ideas, especially precalculus concepts and the role of mathematical discovery and
proof. Students analyze the structure of mathematical systems and use the properties of those systems to make
connections among precalculus concepts and to the grades 4 - 8 classroom. Prerequisites: MTH 300.
305. Introduction to Numerical Methods - Basic numerical and computational
techniques used in the solution of mathematical problems in the real world:
approximation of functions, roots and systems of equations, numerical
integration, interpolation and curve-fitting, and machine computation.
Prerequisites: MTH 234 and CSC 102 or equivalent.
311. Introduction to Modern Mathematics -
Introduction to logic, basic properties of sets, relations, functions, one-to-one functions, set
equivalence, Cantor's Theorem, countable and uncountable sets. Prerequisite: MTH 234.
312. Introduction to Algebraic Systems - An introduction to
the study of
algebraic systems with particular emphasis on concrete examples of the
basic algebraic structures, groups, rings, integral domains, and fields.
Prerequisite: MTH 311.
317. Linear Algebra - Matrices, systems of linear
equations, linear
vector spaces, functions from Rn to Rm, determinants, eigenvalues and
eigenvectors. Prerequisite: MTH 311 or 234 and consent of instructor.
320. Statistical Methods - Analysis of variance, regression analysis and
nonparametric methods. The course will stress the use of computer packages
MINITAB, or SAS and the interpretation of the outputs. Prerequisite: MTH 220.
321. Applied Nonparametric Statistics -
Contingency table analysis, rank
tests for one, two and many sample problems, rank correlation, introduction
to nonparametric regression. Prerequisite: STA 320.
322. Statistical Modeling -
Regression and model building, measure
of model adequacy, transformations, prediction. Prerequisites: MTH 144
or MTH 233 and STA 320.
327. Experimental Design and Analysis - Analysis of variance, completely
randomized designs, blocking and latin square designs. Multifactor
experiments including factorial experiments, nested, blocked, and split-plot
designs. Analysis of covariance. Quality control, sampling theory, reliability
issues. Statistical software used throughout. Report writing, data driven
problems and/or case studies incorporated throughout. Prequisite: STA 320.
333. Calculus III - Four semester hours. Infinite series; power series, vectors
in R2 and R3,
partial derivatives, directional derivatives, gradients, multiple integrals.
Prerequisite: MTH 234.
337. Differential Equations - The solving of differential
equations
of physics, chemistry, and engineering, and a study of the characteristics
of the solutions. Prerequisite: MTH 333.
345. Mathematics for the Secondary School Teacher - A review of the
major topics taught in the secondary schools. Historical perspectives of mathematics,
technology in the classroom, inductive versus deductive reasoning, careers in mathematics,
and interrelationships among the
various branches of mathematics. Prerequisite: MTH 311.
415. Number Theory - Properties of natural numbers. Unique factorization,
residue solution of congruences, arithmetic functions, quadratic reciprocity
law, distribution of primes. Diophantine equations, continued fractions,
algebraic numbers. Prerequisite: MTH 311.
419. Probability Theory - An introduction to elementary probability laws,
random variables, distribution theory, multivariate and conditional
distributions, transformations of random variables, and elementary
convergence concepts. Prerequisites: MTH 311 and MTH 333 or may be taken
concurrently with MTH 333 with consent of instructor.
420. Statistical Inference - Sampling distributions, methods of estimating parameters, mathematical development and application of: one/two/many sample location tests and confidence intervals, analysis of variance and simple linear regression, chi-square tests for categorical data. Prerequisite: MTH 419
439. Advanced Calculus, I - Elements of point set theory and an in-depth
study of the basic ideas of sequences, limits, continuity and differentiability.
Prerequisite: MTH 311 and MTH 333.
440. Advanced Calculus, II - A continuation of MTH 439 with topics
in Taylor, Fourier and other special series, and an in-depth study of Riemann-
Darboux Integration. Prerequisite: MTH 439.
451. College Geometry - A survey of topics from classical
Euclidean
geometry, modern Euclidean geometry, projective geometry, transformational
geometry and non-Euclidean geometries. Prerequisites: MTH 234 and 311.
464. Advanced Topics in Undergraduate Mathematics and Statistics -
One, two, or three semester hours. Topics in abstract algebra, analysis, applied mathematics, geometry,
probability and statistics, topology, or the teaching of mathematics. May
be repeated once for credit on a different topic. Prerequisite: Consent of
the instructor.
475. Special Problems - One, two, or three semester hours. Study and research for
individual instruction of the undergraduate student. Not available for
graduate credit. Prerequisite: 15 semester hours of mathematics and an
overall minimum B average in college work completed.
476. Special Problems - One, two, or three semester hours. Same as 475 for credit in
a different topic. Study and research for individual instruction of the
undergraduate student. Not available for graduate credit. Prerequisites:
15 semester hours of mathematics and an overall minimum B average in
college work completed.
