220 Course Descriptions
2018-2019 USC Upstate Catalog
placement examination, should enroll in Mathematics U141.
Students not majoring in the natural or computer sciences, who have successfully
completed high school Algebra I and II, and have demonstrated competence on
the mathematics placement examination, should enroll as follows: business
administration majors in the Mathematics U121, U122 sequence; elementary,
early childhood, and special education majors in Mathematics U121, and
U231; other majors in a mathematics course determined by their advisors.
MATH U102. Elementary Statistics (3) The fundamentals of modern
statistical methods, descriptive and inferential statistics, probability and
sampling; primarily for students in fields other than mathematics who
need a working knowledge of statistics. Prerequisites: high school Algebra
I and II, or equivalent.
MATH U120. College Mathematics (3) Linear equations and inequalities,
exponential equations, mathematics of finance, fundamental set theory,
fundamentals of probability and statistics. This course may not be used to
satisfy any prerequisite requirement for higher-numbered mathematics
courses. Prerequisites: appropriate score on placement test and high
school Algebra I and II.
MATH U121. College Algebra (3) Equations and inequalities, graphing,
polynomial, rational, exponential, logarithmic, and other functions;
matrices and systems of equations. Only one of MATH U121 and U126 may
be used to satisfy a mathematics requirement for general education or
major credit. Prerequisites: appropriate score on placement test and high
school Algebra I and II. For students who need a more intensive study, an
expanded version of college algebra (MATH U121A) is available. MATH U121A
is open to students who have an appropriate score on the placement test,
have completed MATH U120 with the mandatory lab, or if the student, in
consultation with his or her advisor, determines that extra instruction is
needed in order to succeed in MATH U121.
MATH U122. Calculus for Management and Social Sciences (3) Derivatives
and integrals of elementary algebraic, exponential and logarithmic
functions; maxima, minima, rate of change, area under a curve, and volume.
Problems and examples are drawn from a variety of areas which include
economics, psychology, biology, geography, and geology. Prerequisite: MATH
U121, U126 or eligibility for exemption from MATH U121.
MATH U126. Precalculus I (3) Subsets of the real number line; polynomial,
rational, absolute value, exponential and logarithmic relations and
functions. Only one of MATH U121 and 126 may be used to satisfy a mathematics
requirement for general education or major credit. Prerequisites:
appropriate score on placement test and three years of college preparatory
mathematics; or a C or better in Mathematics 099 and three years of college
MATH U127. Precalculus II (3) Trigonometric functions, trigonometric
identities, solution of equations and triangles, inverse trigonometric
functions, vectors, polar coordinates; analytic geometry. Prerequisite: appropriate
score on placement exam or consent of instructor. Prerequisite
or Corequisite: MATH U126.
MATH U141. Calculus I (4) Limits, continuity, the derivative, differentiation
with applications in the natural sciences and engineering, antiderivatives,
basic integrals with applications. Prerequisites: appropriate score on
placement test and four years of college preparatory mathematics including
trigonometry; or C or better in both MATH U126 and U127; or consent
MATH U142. Calculus II (4) Applications of integration, techniques of integration,
differential equations, parametric equations, and finite sequences
and series. Prerequisite: MATH U141 or its equivalent.
MATH U174. Elements of Discrete Mathematics (3) Topics in basic logic;
proof techniques; sets, relations, and functions; counting; and elementary
number theory. Prerequisite: high school precalculus, or MATH U126 or
equivalent, or consent of the instructor.
MATH U202. Elementary Statistics II (3) An expansion of topics taught
in the first semester of elementary statistics such as hypothesis testing;
inferences; correlation and regression. Additional topics to be covered
include: multinomial experiments and contingency tables; analysis of
variance; statistical process control; and individual projects. Prerequisites:
MATH U102, or ECON U291, or SOCY U201, or PSYC U225.
MATH U231. Basic Concepts of Elementary Mathematics I (3) The
meaning of number, fundamental operations of arithmetic, the structure
of the real number system and its subsystems, elementary number theory.
Open only to students in early childhood, elementary, middle grades, or
special education. Prerequisite: Grade of C or better in MATH U121 or
higher, not including statistics, or consent of the instructor.
MATH U232. Basic Concepts of Elementary Mathematics II (3) A continuation
of the development of the real number system and its subsystems,
basic concepts of probability, and elementary data analysis. Open only to
students in early childhood, elementary, middle grades, or special education.
Prerequisite: Grade of C or better in MATH U231 or consent of the instructor.
MATH U233. Geometry and Measurement (3) A study of properties and
relationships of shape, size, and symmetry in two and three dimensions;
explorations of concepts of motion in two and three dimensions through
transformations. Open only to students in early childhood, elementary,
middle grades, or special education. Prerequisite: MATH U231 or higher
with a grade of C or better, or consent of the instructor.
MATH U241. Calculus III (4) Vectors and geometry of space, vector functions,
partial derivatives, multiple integration, vector calculus and second
order differential equations. Prerequisite: C or better in MATH U142 or its
equivalent; or consent of instructor.
MATH U245. Elementary Differential Equations (3) Ordinary differential
equations of first order, higher order linear equations, Laplace
transform methods, series methods; numerical solutions of differential
equations; applications to the physical sciences and engineering. Prerequisite:
MATH U255. MATLAB Programming (3) Programming language and
techniques designed specifically for programs that rely on the application
of mathematics for solution. Topics include variables, assignment
statements, expressions, vectors and matrices, MATLAB scripts, input and
output, selection statements, flow control, program organization, M-files,