Department of Mathematics
Course
Descriptions
MTH 101 Basic College Mathematics 3
hrs. (Gen. Ed. MA)
Development of basic mathematical skills. Problem solving and contemporary applications. Prerequisite:
3 semesters of high school algebra.
MTH 105 Finite Mathematics 3 hrs.
Topics from finite mathematics: sets, matrices, systems of
linear equations, linear programming, elementary probability, multistage
processes, and Markov chains. Prerequisite: 3 semesters of high school algebra,
or equivalent.
MTH 109 College Algebra 3 hrs.
For students who need to strengthen their algebra skills:
factoring polynomials; solving quadratic and other equations; exponents,
logarithms, and graphing. Prerequisites: 3 semesters of high school algebra, and qualifying score on algebra placement exam; or
grade of C or better in MTH 100.
MTH 111 Elementary Statistics 3 hrs. (Gen. Ed.
MA)
Probability, descriptive statistics, statistical models,
correlation and regression, testing hypotheses, confidence limits, and selected
applications. Prerequisite: 3 semesters of high school algebra, or
equivalent.
MTH 115 Brief Calculus with Applications I 4
hrs. (Gen. Ed. MA)
Differential and integral calculus with emphasis on
understanding through graphs. Topics in
analytic geometry, limits, derivatives, antiderivatives,
definite integrals, exponential and logarithmic functions, and partial
derivatives. Prerequisite: grade of C or better in MTH 109 or 112; or
qualifying score on math placement exam.
MTH 116 Brief Calculus with Applications II 3
hrs. (Gen. Ed. MA)
Continuation of MTH 115. Includes
trig functions, integration techniques, series, differential equations, and
multivariable calculus. Prerequisites: C or better in MTH 115.
MTH 118 Calculus with Review A 4 hrs.
Topics in analytic geometry, limits, continuity, derivative, and
pertinent algebra review. Prerequisites: qualifying entrance and/or placement
scores.
MTH 119 Calculus with Review B 4 hrs. (Gen. Ed.
MA)
Continuation of MTH 118. Topics in analytic
geometry, definite integral, Fundamental Theorem of Calculus, and pertinent
algebra review. Prerequisite: grade of C or better in MTH 118.
MTH 120 Discrete Mathematics 3 hrs.
Introduction to graph theory, Boolean algebra, mathematical
induction, and elementary combinatorics.
Prerequisites: qualifying entrance and/or math precalculus
placement scores as for MTH 121; or grade of C or better in MTH 112.
MTH 121 Calculus I 4 hrs. (Gen. Ed.
MA)
Topics in analytic geometry; limits; continuity;
differentiation; introduction to integration; applications.
Prerequisites: qualifying entrance and/or math precalculus
placement scores; or grade of C or better in MTH 112.
MTH 122 Calculus II 4 hrs. (Gen. Ed.
MA)
Topics in calculus of logarithmic, exponential, and
trigonometric functions; techniques of integration; analytic geometry;
indeterminate forms; improper integrals; infinite series. Prerequisite: grade
of C or better in MTH 119 or MTH 121 or its equivalent.
MTH 190 Topics in Mathematics for Middle
School Teachers 3 hrs.
Topics for middle school math teachers: analytic geometry,
problem solving, topics in calculus. For elementary education
majors only. May be repeated under different topics
for a maximum of 6 hours credit. Prerequisite: consent of instructor.
MTH 202 Introduction to Numerical
Methods 3 hrs.
Introductory treatment of numerical methods used in the solution
of scientific and engineering problems: approximations, interpolation, root
finding, numerical integration, linear algebraic systems, first-order differential
equations. Numerical and mathematical software will implement algorithms.
Prerequisite: MTH 122.
MTH 207 Elementary Linear Algebra with
Applications 3 hrs.
Matrix algebra, determinants, theory of simultaneous equations,
vector spaces, bases, Gram-Schmidt orthogonalization,
eigenvalues, eigenvectors, transformations, and
applications. Prerequisite: MTH 122, or consent of instructor.
MTH 223 Calculus III 4 hrs. (Gen. Ed.
MA)
Topics in vectors; calculus of functions of several variables;
multiple integrals; vector calculus. Prerequisite: grade of C or
better in MTH 122.
MTH 224 Elementary Differential Equations 4
hrs.
Solution of second order equations with constant coefficients;
matrix algebra applied to the solution of first order systems; Laplace transforms; power series methods; numerical
methods; modeling; applications. Prerequisite: MTH 223.
MTH 300 Topics for Middle School Math Teachers
3 hrs.
Topics of special interest which may vary each time
course is offered, rotating among geometry, algebra/number theory, and history
of mathematics. Topic stated in current Schedule of Classes. For middle school
teacher certification; does not count for math majors or math minors. May be repeated under different topics for a maximum of 9 hours
credit. Prerequisites: C or better in ETE 115 and ETE 225; C or better
in calculus, computer programming, or statistics (MTH 111); or consent of
instructor.
MTH 301 Combinatorics
3 hrs.
Combinatorial analysis, recurrence relations, generating
functions, and finite-state machines. Prerequisites: MTH 120, 122; or
MTH 223.
MTH 302 Introduction to Graph Theory 3
hrs.
Theory and applications of graphs. Fundamental properties of graphs, circuits, cycles, trees, and
graph algorithms; planarity and coloring. Prerequisites: MTH 120, 122;
or MTH 223.
MTH 305 Modern Geometry 3 hrs.
Modern geometry; methods similar to those used in plane
geometry. Prerequisite: MTH 223.
MTH 307 Linear Algebra 3 hrs.
Vector spaces, linear transformations, inner product spaces,
MTH 310 Introduction to Number Theory 3
hrs.
Historical development of number theory; primes and their
distribution; divisibility; unique factorization of integers; congruences; Diophantine equations; number theoretic
functions. Prerequisite: MTH 223.
MTH 325, 326 Probability & Statistics I,
II 3 hrs. each
Probability and statistical concepts, theory, and applications:
random variables, sampling, central limit theorem, theories of estimation and
the testing of hypotheses, linear models, and nonparametric methods.
Prerequisite: MTH 223; MTH 325 required for MTH 326.
MTH 335 Topics in Actuarial Science 3 hrs.
Preparation for Actuarial Exams 140, 150. Topics
may vary each time course is offered, rotating among compound interest,
mathematics of life contingencies, and actuarial mathematics. Topic stated in
current Schedule of Classes. May be repeated under different
topics for a maximum of 9 hours credit. Prerequisites: MTH 207, MTH 223;
consent of instructor.
MTH 345 Differential Equations 3 hrs.
Existence and uniqueness theorems; solution methods for initial
and boundary value problems; linear and nonlinear systems; stability theory;
difference equations. Prerequisites: MTH 207, 223; or consent of
instructor.
MTH 370 Mathematics Seminar 1 hr.
Seminar course introducing various mathematical topics.
Prerequisite: junior or senior standing; mathematics major or minor or consent
of Department Chair.
MTH 371 History of Mathematics 3 hrs.
A survey of the historical development of mathematics from
antiquity to the twentieth century. Emphasis will be on the
interrelations between the various areas of mathematics as well as the
mathematical content itself. Prerequisites: MTH 207 and 3 semester hours from
courses numbered MTH 301 or above; or consent of instructor.
MTH 390 Mathematical Modeling 3 hrs.
Introduction to constructing and evaluating mathematical models
for describing and analyzing real world phenomena. Continuous and/or discrete models. Prerequisite: MTH 223;
consent of instructor.
MTH 403 Complex Variables I 3 hrs.
Introduction to complex calculus: elementary functions,
integration, Cauchy’s formula, residue theory, and applications. Prerequisites:
MTH 207, 223; or MTH 224.
MTH 404 Modern Algebra I 3 hrs.
Basic theory of sets, integers, and mappings; elementary
properties of groups, rings, and fields. Prerequisite: MTH 207,
223.
MTH 405 Modern Algebra II 3 hrs.
Topics selected from theory of rings, field theory, and
applications. Prerequisite: MTH 404.
MTH 406 Elementary Topology 3 hrs.
Introduction to rudiments of point set topology. Concepts of compactness, connectedness, and continuity, in context
of general topological spaces and metric spaces. Prerequisite: MTH 420,
or consent of instructor.
MTH 420 Introduction to Analysis 3 hrs.
Real number system and functions of real variables: sequences,
limits, continuity, differentiation, series, uniform convergence, and the
Riemann-Stieltjes integral. Prerequisite: MTH 207,
223.
MTH 421 Advanced Calculus 3 hrs.
Functions of several variables. Calculus of transformations, implicit and inverse function
theorems, line and surface integrals, Fourier analysis, fixed point theorems,
and applications. Prerequisite: MTH 420 or consent of instructor.
MTH 427 Applied Statistical Methods 3 hrs.
Regression analysis, time series analysis, and forecasting
Prerequisites: MTH 326 or consent of instructor.
MTH 490 Topics in Mathematics 3 hrs.
Topics of special interest which may vary each time
course is offered. Topic stated in current Schedule of Classes. Prerequisite:
consent of instructor.
MTH 491 Directed Individual Studies in Mathematics 1-16 hrs.
Individual work in special areas of mathematics for advanced,
qualified undergraduate students. May register
for more than 6 hrs. credit only if enrolled in
an approved special off campus program. Prerequisite: consent of Department
Chair.
MTH 494 Senior Project in Mathematics I 0 hrs.
Topics in mathematics selected, studied, and discussed by
students under faculty guidance. Each student explores an area of mathematics
and selects a topic in which he or she has a particular interest. Prerequisite:
Senior standing (junior standing with consent of instructor).
MTH 495 Senior Project in Mathematics II 3
hrs.
A selected topic in mathematics is studied by a student under
faculty guidance. Each student writes a paper and gives a presentation on his
or her topic. Prerequisite: MTH 494; senior standing.
MTH 501 Topics in Applied Mathematics I 3 hrs.
Theory, applications, and algorithms for basic problems of
modern applied mathematics. Symmetric
linear systems, minimum principles, equilibrium equations, calculus of
variations, orthogonal expansions, and complex variables. Prerequisites:
MTH 224 or 345.
MTH 502 Topics in Applied Mathematics II 3
hrs.
Continuation of MTH 501. Selected
numerical algorithms: Fast Fourier transform, initial value problems,
stability, z-transforms, and linear programming. Prerequisite: MTH 501
or consent of instructor.
MTH 510 Numerical Methods I 3 hrs.
Introduction to numerical and computational aspects of various
mathematical topics: finite precision, solutions of non-linear equations,
interpolation, approximation, linear systems of equations, and integration.
Cross listed as CS 510. Prerequisite: CS 104 or 106; MTH 207 and 223.
MTH 511 Numerical Methods II 3 hrs.
Continuation of CS/MTH 510: further techniques of integration,
ordinary differential equations, numerical linear algebra, nonlinear systems of
equations, boundary value problems, and optimization. Cross listed as CS 511.
Prerequisites: MTH 224 or 345; CS/MTH 510.
MTH 514 Partial Differential Equations 3 hrs.
Fourier series and applications to solutions of partial
differential equations. Separation of variables, eigenfunction
expansions, Bessel functions, Green’s functions, Fourier and Laplace transforms. Prerequisite: MTH 224 or 345.