224 Course Descriptions
2019-2020 USC Upstate Catalog
pleted three years of college preparatory mathematics and have demonstrated
competence on the mathematics placement examination; should enroll in
Mathematics U121, U126 or U127 as appropriate. Students who need both
college algebra and trigonometry have the option of taking Mathematics
U121 (with a grade of B or better) or U126, and Mathematics U127. Those
who have demonstrated competence in college algebra can take Mathematics
U127 to meet the calculus prerequisite. Upon successful completion of one of
the precalculus options, students should enroll in Mathematics U141. Those
who have completed four years of college preparatory mathematics, includ-ing
trigonometry, and have demonstrated competence on the mathematics
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 stu-dents
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) Deriva-tives
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; polyno-mial,
rational, absolute value, exponential and logarithmic relations and
functions. Only one of MATH U121 and 126 may be used to satisfy a math-ematics
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: ap-propriate
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 includ-ing
trigonometry; or C or better in both MATH U126 and U127; or consent
MATH U142. Calculus II (4) Applications of integration, techniques of in-tegration,
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 con-tinuation
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 func-tions,
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 dif-