Undergraduate - UMUC Europe

MATH 001 Pre-Algebra (3)
(Not open to students who have already successfully completed
a higher-level mathematics course. Does not apply toward degree
requirements. Yields institutional credit only.) Prerequisite: An
appropriate score on a placement test. A study of whole numbers,
integers, fractions, decimals and real numbers, variable
expressions, first degree equations, ratio and proportion, percent,
and geometry. All topics are employed to solve applied problems.
Strategies to build self-confidence in mathematics are offered for
students whose academic progress is blocked by anxiety about
their mathematics coursework. Students may receive credit for
only one of the following courses: MATH 001, MATH 100, or
UCSP 198 Transitional Mathematics.
MATH 009 Introductory Algebra (3)
(Not open to students who have already successfully completed
a higher-level mathematics course. Does not apply toward degree
requirements. Yields institutional credit only.) Prerequisite: MATH
001 or an appropriate score on a placement test. A comprehensive
review of fractions, percentages, operations with signed numbers,
and geometric formulas. Basic algebraic topics include exponents,
polynomials, and linear equations. Students may receive credit
for only one of the following courses: MATH 009, MATH
009M, or MATH 101.
MATH 012 Intermediate Algebra (3)
(Not open to students who have already successfully completed
a higher-level mathematics course. Does not apply toward degree
requirements. Yields institutional credit only.) Prerequisite: MATH
009, or an appropriate score on the placement test. A study of
problem-solving techniques in intermediate-level algebra.
Numbers and algebraic properties, graphing skills, and applications
drawn from a variety of areas (such as statistics, computing, and
discrete mathematics) are emphasized. Topics include polynomials;
factoring; exponents and their notation; linear, quadratic, and
other equations; and inequalities. Students may receive credit for
only one of the following courses: MATH 012, MATH 102,
MATH 102M, MATH 199A, or MATH 199M.
MATH 105 Mathematics: Contemporary Topics and Applications (3)
Prerequisite: MATH 012 or an appropriate score on the placement
test. This course is not intended for students planning to take
MATH 107 or higher-numbered courses, nor does it serve as a
prerequisite for these courses. A survey of contemporary topics in
mathematics, covering applications and projects. Topics include
problem solving, sequences and series, financial management,
geometry, probability, and statistics.
MATH 107 College Algebra (3)
(The first course in the two-course series MATH 107-108. An
alternative to MATH 115 Pre-Calculus.) Prerequisites: MATH
012, or an appropriate score on the placement test. An introduction
to equations, inequalities, and absolute values and a study of
functions and their properties, including the development of
graphing skills with polynomial, rational, exponential, and
logarithmic functions. Applications are also covered. Students
may receive credit for only one of the following courses:
MATH 107 or MATH 115.
UMUC Course Descriptions — MATH 001 through MATH 246
MATH 108 Trigonometry and Analytical Geometry (3)
(The second course in the two-course series MATH 107-108.
An alternative to MATH 115 Pre-Calculus.) Prerequisite: MATH
107 or an appropriate score on the placement test. An introduction
to trigonometric functions, identities, and equations and their
applications. Analytical geometry and conic sections are covered.
Additional topics may include matrices, determinants, sequences,
and series. Students may receive credit for only one of the following
courses: MATH 108 or MATH 115.
MATH 130 Calculus A (3)
Prerequisite: MATH 108 or equivalent. An introduction to
calculus. Topics include functions, continuity, derivatives, and
applications of derivatives including maximum-minimum
problems, related rates and graphs of functions. Students may
receive credit for only one of the following courses: MATH 130,
MATH 140, or MATH 220.
MATH 131 Calculus B (3)
(A continuation of MATH 130.) Prerequisite: MATH 130 or
equivalent. A study of definite and indefinite integrals. Topics
include calculations of area between curves; applications of
integrals (including volumes, arc length, surface, work, and
moments; area in polar coordinates; exponential, logarithmic,
inverse trigonometric, and hyperbolic functions; and integration
by parts. Students may receive credit for only one of the following
courses: MATH 131, MATH 140, MATH 141, MATH 220,
or MATH 221.
MATH 132 Calculus C (3)
(A continuation of MATH 131.) Prerequisite: MATH 131 or
equivalent. Further study of integrals. Topics include techniques
of integration (including parts, trigonometric substitution, and
partial fractions); improper integrals; sequences and series
(including convergence tests, Taylor polynomials, and Taylor’s
theorem); conic sections; and vectors (including dot and cross
products). Students may receive credit for only one of the
following courses: MATH 132, MATH 141, or MATH 221.
MATH 240 Introduction to Linear Algebra (4)
Prerequisite: MATH 141. An explanation of the basic concepts
of linear algebra. Topics include vector spaces, applications to line
and plane geometry, linear equations, and matrices, as well as
linear transformations, changes of basis, diagonalization, similar
matrices, Jordan canonical forms, eigenvalues, determinants, and
quadratic forms. Students may receive credit for only one of the
following courses: MATH 240, MATH 400, or MATH 461.
MATH 241 Calculus III (4)
Prerequisites: MATH 141. An introduction to multivariable
calculus. Exposition covers vectors and vector-valued functions;
partial derivatives and applications of partial derivatives (such as
tangent planes and Lagrangian multipliers); multiple integrals;
volume; surface area; and the classical theorems of Green, Stokes,
and Gauss.
MATH 246 Differential Equations (3)
Prerequisite: MATH 141. An introduction to the basic methods
of solving differential equations. Separable, exact, and linear
differential equations are addressed. The main techniques
considered are undetermined coefficients, series solutions, Laplace
transforms, and numerical methods. Students may receive credit
only once under this course number.
2003/2004 Undergraduate Catalog 101