Undergraduate Catalog - University of Louisiana at Monroe

212 UNIVERSITY OF LOUISIANA MONROE 2012-2013 UNDERGRADUATE CATALOG
MATHEMATICS
(MATH)
Undergraduate Requirements
Required for a major: 1031, 1032, 2002, 2032, 2040,
3086, two additional courses numbered 3000 and above,
and two additional 4000 level courses, for a total of 33
semester hours.
Required for a concentration (Mathematics
Education): 1013, 1031, 1032, 2002, 2032, 2040, 3003,
3007, 3086, and one hour of mathematics elective. Total
of 31 semester hours. (See specific degree plan in the
College of Arts and Sciences section).
Required for a minor: 1031, 1032, 2002, 2040, plus
2 courses numbered 3000 or above for a total of 20
semester hours.
Required for a minor (Mathematics Education): 1013,
1031, 1032, 2002, 2032, 3007. Total of 21 semester
hours. Teacher certification in this minor area requires 30
credit hours or the Praxis content specialty exam.
A student whose ACT/SAT score places them
in developmental English or math must successfully
complete the course or courses within the first three
semesters of enrollment at the University of Louisiana at
Monroe to be eligible to maintain continued enrollment. A
maximum of three attempts (including drop “W” attempts)
will be allowed for the required course. Students who
fail to meet this requirement during this time limit must
successfully complete the developmental course at
another university or community college before being
eligible to return to ULM.
For Undergraduates Only
All students whose placement criteria tests indicate
that they are deficient in basic algebraic skills will be
required to pass MATH 0093 with a “C” or better before
enrolling in any Mathematics course numbered 1000 or
above.
Because of substantial overlap in content:
Only one course from the following list may be taken
for credit toward graduation: MATH 1012, and MATH
1013; Only one course from the following list may be
taken for credit toward graduation: MATH 1014 and
MATH 1031.
0093. INTRODUCTORY ALGEBRA. 3 cr. 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.
1009. APPLIED ALGEBRA FOR COLLEGE STUDENTS.
3 cr. Emphasis on applications involving: solving equations
and inequalities; function properties and graphs; linear,
quadratic, polynomial, exponential and logarithmic functions.
Recommended for students who will not take Math 1031.
Prerequisite: ACT 19 or higher or successful completion of Math
0093. Students may not receive credit for both Math 1009 and
Math 1011.
1011. COLLEGE ALGEBRA. 3 cr. Solving equations, inequalities
and systems of equations. Functions and graphs including but
not limited to polynomials, rational, logarithmic and exponential
functions. Students may not receive credit for both Math 1011
and Math 1009. Prerequisite: Open only to students whose Math
ACT is 19 or higher or successful completion of MATH 0093.
1012. TRIGONOMETRY. 3 cr. Trigonometric functions, trigonometric
identities and equations, logarithms, vectors, complex numbers.
Prerequisite: A grade of “C” or better in MATH 1011.
1013. ELEMENTARY FUNCTIONS. 3 cr. 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. Prerequisite: A “C” or better in
MATH 1011, an “A” in MATH 1009, or a MATH ACT score of 23 or
higher.
1014. APPLIED CALCULUS FOR THE LIFE SCIENCES. 3 cr. A
study of the concepts of differential and integral calculus with
applications from the life sciences. Prerequisite: A grade of “C” or
better in Math 1011.
1016. ELEMENTARY STATISTICS. 3 cr. 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.
Prerequisites: A grade of “C” or better in MATH 1009, 1011, 1013
or 1014.
1018. THE NATURE OF MATHEMATICS. 3 cr. Selected topics from
number theory, modular arithmetic, geometry, voting theory, fair
division, graph theory scheduling, basic statistics, probability and
consumer mathematics. Prerequisite: A grade of “C” or better in
Math 1009, 1011, 1013, or 1014.
1031. CALCULUS I. 4 cr. Functions, limits and continuity, derivatives,
applications of the derivative, the integral, conic sections.
Prerequisite: A grade of “C” or better in MATH 1013 or permission
of instructor.
1032. CALCULUS II. 4 cr. Inverse functions, techniques of integration,
applications of the integral, sequences and series. Prerequisite: A
grade of “C” or better in MATH 1031.
2002. APPLIED LINEAR ALGEBRA. 3 cr. An introduction to the
application of matrix algebra. Emphasis on the application of
procedures and algorithms. Prerequisite: A grade of “C” or better
in MATH 1031 or 1014. Sp
2032. CALCULUS III. 4 cr. Vectors, lines, and planes, vector valued
functions, partial derivatives, multiple integrals, calculus of vector
fields. Prerequisite: A grade of “C” or better in MATH 1032. Sp
2040. FOUNDATIONS OF MATHEMATICS. 3 cr. Introduction to logic and
proofs, set theory, functions and structures relating to algebra and
analysis. Prerequisite: A grade of “C” or better in MATH 1031. F
2050. NUMERICAL FOUNDATIONS FOR TEACHERS.
3 cr. Students will discuss problem solving strategies, and
investigate elementary number theory, arithmetic operations and
algorithms. Emphasis is placed on applying the processes of
problem solving, reasoning, connections, communications, and
representation by combining discussion, modeling, manipulatives,
cooperative learning and technology. For Elementary Education
majors only. Prerequisite: A grade of “C” or better in MATH 1011.
2055. MATHEMATICAL AND STATISTICAL FOUNDATIONS FOR
ELEMENTARY TEACHERS. 3 cr. Students will analyze patterns,
functions, algebraic underpinnings, and statistics. Emphasis is
placed in the processes of problem solving, reasoning and proof,
describing and analyzing data, probability explorations, and
connections, communications and representation by combining
discussion, modeling, manipulatives, cooperative learning and
technology. For Elementary Education majors only. Prerequisite:
A grade of "C" or better in MATH 2050. (Students may not receive
credit for MATH 2055 if they have credit in MATH 2052).
3001. DIFFERENTIAL EQUATIONS. 3 cr. 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. Prerequisite: A grade of “C” or better in MATH 1032. F