Mathematics Courses offered by ULM
For Undergraduates Only
Mathematics 0093. INTRODUCTORY ALGEBRA. 3 cr.
Description: Review of fundamentals;
operations and properties of rational and real numbers; solutions
and linear equations and applications; graphing linear equations
and inequalities in two variables; solving systems of linear
equations; exponents and polynomials; factoring polynomials;
simplifying rational and radical expressions; solving fractional,
radical, and quadratic equations. Three semester hours will be
added to the degree program of any student required to take this
course. Open only to students whose Math ACT is less than 19.
Mathematics 1011. COLLEGE ALGEBRA. 3 cr.
Prerequisite: Open only to students whose Math ACT is 19
or higher or successful completion of MATH 0093.
Description: Solving equations, inequalities and
systems of equations. Functions and graphs including but not
limited to polynomials, rational, logarithmic and exponential functions.
Mathematics 1012. TRIGONOMETRY. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1011.
Description: Trigonometric functions, trigonometric
identities and equations, logarithms, vectors, complex numbers.
Mathematics 1013. ELEMENTARY FUNCTIONS. 3 cr.
Prerequisite: A grade of “C” or better in Math 1011
or Math ACT score of 23 or higher.
Description: A pre-calculus course
emphasizing functions of algebraic, trigonometric, and
transcendental nature. This course is designed for those students
who intend to enroll in calculus.
Mathematics 1014. APPLIED CALCULUS FOR THE LIFE SCIENCES. 3 cr.
Prerequisite: A grade of “C” or better in Math 1011.
Description: A study of the concepts of differential and integral calculus with
applications from the life sciences.
Mathematics 1016. ELEMENTARY STATISTICS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1011,
1013 or 1014.
Description: Introduction to descriptive
statistics, probability, binomial and normal distributions, hypothesis
testing, correlation and regression. Not applicable to a major
or minor in mathematics or computer science.
Mathematics 1018. THE NATURE OF MATHEMATICS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1011,
1013 or 1014.
Description: Selected topics from number theory, modular arithmetic, geometry, voting theory, fair
division, graph theory scheduling, basic statistics, probability and
consumer mathematics.
Mathematics 1031. CALCULUS. 4 cr.
Prerequisite: A grade of “C” or better in MATH 1013 or
permission of instructor.
Description: Functions, limits and continuity, derivatives,
applications of the derivative, the integral, conic sections.
Mathematics 1032. CALCULUS. 4 cr.
Prerequisite: A grade of “C” or better in MATH 1031.
Description: Inverse functions, techniques of integration,
applications of the integral, sequences and series.
Mathematics 2002. APPLIED LINEAR ALGEBRA. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1031
or 1014.
Description: An introduction to the application of matrix algebra.
Emphasis on the application of procedures and algorithms.
Mathematics 2032. CALCULUS. 4 cr.
Prerequisite: A grade of “C” or better in MATH 1032.
Description: Vectors, lines, and planes, vector valued
functions, partial derivatives, multiple integrals, calculus of vector
fields.
Mathematics 2040. FOUNDATIONS OF MATHEMATICS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1031.
Description: Introduction to logic and proofs, set theory, functions and structures relating to algebra and analysis.
Mathematics 2050. NUMERICAL FOUNDATIONS FOR TEACHERS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1011.
Description: A survey of elementary number theory, operations, and algorithms. For Elementary Education majors only.
Mathematics 2051. PROBABILITY AND DATE ANALYSIS FOR ELEMENTARY
TEACHERS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2050.
Description: A survey of descriptive statistics and probability.
For Elementary Education majors only.
Mathematics 2052. MATHEMATICAL FOUNDATIONS FOR ELEMENTARY
TEACHERS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2051.
Description: A survey of patterns, functions, and algebraic
underpinnings. For Elementary Education majors only.
Mathematics 3001. DIFFERENTIAL EQUATIONS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1032.
Description: An introduction to ordinary differential equations, emphasizing equations of first order and first degree, linear differential equations of higher order, and applications of equations which arise in geometry, chemistry, and physics.
Mathematics 3003. ELEMENTARY MATHEMATICAL STATISTICS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1031.
Description: Random variables, probability, distribution functions, mathematical models, testing hypotheses, frequency distributions, correlations,
regression, goodness of fit, derived distributions, non-parametric
methods.
Mathematics 3007. COLLEGE GEOMETRY. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2040.
Description: Selected topics from finite,
projective, or non-Euclidean geometries. Advanced topics in
Euclidean geometry, including constructions.
Mathematics 3050. GEOMETRY AND MEASUREMENT FOR ELEMENTARY
TEACHERS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2052.
Description: A survey of Euclidian geometry and
measurement. For Elementary Education majors only.
Mathematics 3073. NUMERICAL METHODS. 3 cr.
Prerequisite: CSCI 2003, and a grade of “C” or better in MATH 2002 and MATH 1032.
Description: Numerical algorithms fundamental
to scientific work including discussion or error. (Dual listed as CSCI 3073).
Mathematics 3080. REAL ANALYSIS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1032
and MATH 2040.
Description: Sequences and series of real numbers
and their convergence; continuity, differentiation, and integration
of real valued functions of one real variable.
Mathematics 3086. MODERN ALGEBRA. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2002
and MATH 2040.
Description: Axioms and the nature of proof,
groups, rings, integral domains, fields, homomorphisms and
isomorphisms.
Mathematics 4007. HISTORY OF MATHEMATICS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2040
and either MATH 3080 or MATH 3086.
Description: Selected topics on the
development of mathematics as a human endeavor; numeration
systems; growth of algebra, trigonometry, geometry, and the
calculus; contributions from various cultures; selected
biographies of mathematicians.
Mathematics 4009. CRYPTOLOGY. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2040
or permission of the instructor.
Description: Introduction to modern applications of
mathematics. Private key ciphers, including shift, affine and
vigenere; attacks on these ciphers. Modern public key ciphers
including RSA and Knapsack.
Mathematics 4011. FUNDAMENTALS OF MIDDLE SCHOOL MATHEMATICS I.
3 cr.
Description: For the middle-school teacher; number concepts
and relationships; geometry and measurement; algebra and algebraic structures.
Emphasis is on teaching mathematics at the middle school
level. Not applicable toward a major nor minor in mathematics at
undergraduate or graduate level. Applies to elementary and middle
school certification.
Mathematics 4012. FUNDAMENTALS OF MIDDLE SCHOOL
MATHEMATICS II. 3 cr.
Description: Probability and statistics for the middle-school teacher.
Topics include, but are not restricted to, data analysis and basic concepts
of probability and statistics. Not applicable toward a major nor minor in
mathematics at undergraduate or graduate level. Applies to elementary and middle
school certification.
Mathematics 4017. ADVANCED REAL ANALYSIS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 3080.
Description: Sequences and series of
vector-valued functions of several real variables and their
convergence; continuity, differentiation, and integration of vector-valued
functions of several real variables.
Mathematics 4020. INTRODUCTION TO BIOSTATISTICS I. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1014
or MATH 1031 or permission of the department head and junior standing or above.
Description: An introduction to
the discipline of statistics and its application to problems of biology,
including human biology, medicine, and public health. Topics
include Bayesian inferences, estimation techniques, hypothesis
testing, goodness of fit, and analysis of variance. (Dual listed as CSCI 4020).
Mathematics 4021. INTRODUCTION TO BIOSTATISTICS II. 3 cr.
Prerequisite: A grade of “C” or better in MATH 4020
or CSCI 4020 and junior standing or above.
Description: A continuation of
420. Topics include linear and multiple regression, logistics
regression, longitudinal data analysis, nonparametric methods
and principle component techniques. (Dual listed as CSCI 4021).
Mathematics 4031. FUNDAMENTALS OF HIGH SCHOOL MATHEMATICS I. 3 cr.
Description: Emphasis is on teaching at the high school level. Topics
include, but are not restricted to, number concepts and relationships,
geometry and measurement. Not applicable toward a major or
minor in mathematics. Applies to middle and high school
certification.
Mathematics 4032. FUNDAMENTALS OF HIGH SCHOOL MATHEMATICS II. 3 cr.
Description: Emphasis is on teaching at the high school level.
Topics include, but are not restricted to, algebra, algebraic structures, data
analysis, basic statistics. Not applicable toward a major or
minor in mathematics. Applies to middle and high school
certification.
Mathematics 4042. MATHEMATICAL MODELS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 3001 or
3003 or approval by department head.
Description: University capstone course. Development and analysis of mathematical models for physical, biological, and social science.
For Undergraduates and Graduates
Mathematics 4001. DIFFERENTIAL EQUATIONS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 3001.
Description: Series solutions to ordinary
differential equations, Laplace transforms, systems of differential
equations, numerical methods and applications which arise in
geometry, chemistry, and physics.
Mathematics 4002. LINEAR SPACES. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2002
and 1032.
Description: A study of abstract vector spaces
including function spaces, linear transformations, operators,
functionals and duality, bilinear and quadratic forms.
Mathematics 4003-4004. MATHEMATICAL STATISTICS. 3 cr. each
Prerequisite: A grade of “C” or better in MATH 3003.
Description: Probability,
discrete and continuous random variables, expected values and
moments, special continuous distributions, sampling, point
estimation, multivariate normal,interval estimation, tests of
hypothesis, regression and linear hypothesis, experimental
design models, sequential tests, and nonparametric methods.
Mathematics 4005. PARTIAL DIFFERENTIAL EQUATIONS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 3001.
Description: Fourier series,
boundary value problems, partial differential equations, special
functions, with an emphasis on applications.
Mathematics 4006. THEORY OF FUNCTIONS OF A COMPLEX VARIABLE. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2032.
Description: Real and complex numbers, differentiation and integration of
functions of a complex variable, mapping by elementary functions,
transformations, infinite series, and theory of residues and
poles.
Mathematics 4019. TOPOLOGY. 3 cr.
Prerequisite: A grade of “C” or better in MATH 2040
and 1032.
Description: Point sets, axiomatic bases, topology of the
line and the plane. Emphasis on connectedness, compact sets
and continuous transformations.
Mathematics 4025. ADVANCED MODERN ALGEBRA. 3 cr.
Prerequisite: A grade of “C” or better in MATH 3086.
Description: Continuation of Math
386; Euclidean domains, unique factorization domains, principal
ideal domains, Galois theory and related topics.
Mathematics 4094. RESEARCH: ALGEBRA. 1-3 cr. Maximum, 6 cr.
Prerequisite: Approval of department head.
Description: Research.
Open to advanced undergraduates who are capable of developing
a problem independently. (Formerly MATH 498A)
Mathematics 4095. RESEARCH: ANALYSIS. 1-3 cr. Maximum, 6 cr.
Prerequisite: Approval of department head.
Description: Research.
Open to advanced undergraduates who are capable of developing
a problem independently. (Formerly MATH 498B)
Mathematics 4096. RESEARCH: TOPOLOGY. 1-3 cr. Maximum, 6 cr.
Prerequisite: Approval of department head.
Description: Research.
Open to advanced undergraduates who are capable of developing
a problem independently. (Formerly MATH 498C)
Mathematics 4097. RESEARCH: STATISTICS. 1-3 cr. Maximum, 6 cr.
Prerequisite: Approval of department head.
Description: Research.
Open to advanced undergraduates who are capable of developing
a problem independently. (Formerly MATH 498A)
For Graduates Only
Mathematics 5001. BASIC CONCEPTS OF ELEMENTARY MATHEMATICS.
3 cr.
Description: In depth study
of various mathematical concepts requisite to current backgrounds in
teaching elementary school mathematics.
Mathematics 5003. FOUNDATIONS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1013
or advanced standing.
Description: Rudimentary topics from algebra and analysis for
junior high and high school mathematics teachers.
Mathematics 5004. ANALYSIS FOR THE SECONDARY TEACHER. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1013 or advanced standing.
Description: The real number system,
elementary functions and their graphs and an introduction to differential
and integral calculus and its applications.
Mathematics 5005. GEOMETRY FOR SECONDARY TEACHERS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 3007 or advanced standing.
Description: Incidence geometry in
planes and space, congruence, separation in planes and space, geometric
inequalities, synthetic postulation, similarities, constructions, rigid
motion and metrization. For high school and junior high school teachers.
Mathematics 5006. ELEMENTARY NUMBER THEORY. 3 cr.
Prerequisite: Approval of department head.
Description: Prime numbers and their distribution,
divisibility of numbers, Pythagorean triples, Diophantine equations
and their applications.
Mathematics 5008. INTRODUCTION TO MODERN ALGEBRA FOR SECONDARY TEACHERS. 3 cr.
Prerequisite: A grade of “C” or better in MATH 1013 or advanced standing.
Description: The logical structure of mathematics presented
through the development of the properties of rings and fields. Intensive
investigation of the real and complex number systems.
Mathematics 5009. STATISTICS FOR SECONDARY TEACHERS. 3 cr.
Description: Course topics include the interpretation of data,
graphical displays of data, distribution of data, methods of data collection,
random sampling, probability, random variables, confidence intervals,
tests of significance, and study of normally distributed data.
Mathematics 5020-5021. STATISTICAL METHODS FOR THE EXPERIMENTER. 3 cr. each
Description: Data description,
probability and probability distributions, estimation and tests
of hypothesis, linear regression and correlation, multiple comparisons,
multiple regression; analysis of variance for completely randomized, randomized
block, Latin square, factorial and k-way classification, and unbalanced
designs; expected mean squares, analysis of covariance. The use of
SAS and Minitab statistical computer packages. Emphasis is on methodology
and only a high school background in mathematics and no prior
knowledge of statistics is assumed. Credit cannot be earned in both
4037-4038 (Same as CSCI 5020-5021.)
Mathematics 5022. MULTIVARIATE STATISTICAL METHODS FOR RESEARCHERS. 3 cr.
Description: An
introductory course in applied multivariate statistical methods for the
researcher. Emphasis is on concepts and the application of procedure.
Topics to be covered include multivariate normal distribution theory, statistical
distance, hypothesis testing, multivariate structure, graphics, and
exploratory techniques. (Same as CSCI 5022.)
Mathematics 5091. DIRECTED STUDY 1-6 Cr., Maximum 6 Cr.
Prerequisite: Approval of department head.
Description: Directed study in A. Algebra; B.
Analysis; C. Topology; D. Statistics.
