Statements of Policy - UMUC Europe
Statements of Policy - UMUC Europe
Statements of Policy - UMUC Europe
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MATH 131 Calculus B (3)<br />
(A continuation <strong>of</strong> MATH 130.) Prerequisite: MATH 130. A<br />
study <strong>of</strong> definite and indefinite integrals. Topics include<br />
calculations <strong>of</strong> area between curves; applications <strong>of</strong> integrals<br />
(including volumes, arc length, surface, work, and moments);<br />
area in polar coordinates; exponential, logarithmic, inverse<br />
trigonometric, and hyperbolic functions; and integration by parts.<br />
Students may receive credit for only one <strong>of</strong> the following courses:<br />
MATH 131, MATH 140, MATH 141, MATH 220, or<br />
MATH 221.<br />
MATH 132 Calculus C (3)<br />
(A continuation <strong>of</strong> MATH 131.) Prerequisite: MATH 131.<br />
Further study <strong>of</strong> integrals. Topics include techniques <strong>of</strong> integration<br />
(including parts, trigonometric substitution, and partial fractions);<br />
improper integrals; sequences and series (including convergence<br />
tests, Taylor polynomials, and Taylor’s theorem); conic sections;<br />
and vectors (including dot and cross products). Students may<br />
receive credit for only one <strong>of</strong> the following courses: MATH 132,<br />
MATH 141, or MATH 221.<br />
MATH 240 Introduction to Linear Algebra (4)<br />
Prerequisite: MATH 141. An explanation <strong>of</strong> the basic concepts<br />
<strong>of</strong> linear algebra. Topics include vector spaces, applications to line<br />
and plane geometry, linear equations, and matrices, as well as<br />
linear transformations, changes <strong>of</strong> basis, diagonalization, similar<br />
matrices, Jordan canonical forms, eigenvalues, determinants, and<br />
quadratic forms. Students may receive credit for only one <strong>of</strong> the<br />
following courses: MATH 240, MATH 400, or MATH 461.<br />
MATH 241 Calculus III (4)<br />
Prerequisites: MATH 141. An introduction to multivariable<br />
calculus. Exposition covers vectors and vector-valued functions;<br />
partial derivatives and applications <strong>of</strong> partial derivatives (such as<br />
tangent planes and Lagrangian multipliers); multiple integrals;<br />
volume; surface area; and the classical theorems <strong>of</strong> Green, Stokes,<br />
and Gauss.<br />
MATH 246 Differential Equations (3)<br />
Prerequisite: MATH 141. An introduction to the basic methods<br />
<strong>of</strong> solving differential equations. Separable, exact, and linear<br />
differential equations are addressed. The main techniques<br />
considered are undetermined coefficients, series solutions, Laplace<br />
transforms, and numerical methods. Students may receive credit<br />
only once under this course number.<br />
<strong>UMUC</strong> Course Descriptions — MATH 131 through MGRK 334<br />
Modern Greek<br />
Courses in Modern Greek (designated MGRK) may be applied<br />
as appropriate (according to individual program requirements)<br />
toward:<br />
• the general education requirements for arts and humanities<br />
and international perspective coursework;<br />
• a major or minor in humanities (when appropriate); and<br />
• electives.<br />
MGRK 111 Elementary Modern Greek I (3)<br />
(Assumes no prior knowledge <strong>of</strong> Greek. Fulfills the international<br />
perspective requirement.) An elementary study <strong>of</strong> Modern Greek.<br />
Emphasis begins with oral communication skills, and leads to<br />
balanced pr<strong>of</strong>iciency in the four communication skills <strong>of</strong> listening,<br />
speaking, reading, and writing. Topics include basic structures,<br />
vocabulary, pronunciation, and writing, as well as elements <strong>of</strong><br />
culture, history, and geography. Authentic text from native<br />
speakers is used as much as possible.<br />
MGRK 112 Elementary Modern Greek II (3)<br />
(Fulfills the international perspective requirement.) Prerequisite:<br />
MGRK 111. Continued basic study <strong>of</strong> Modern Greek,<br />
emphasizing oral communication and leading to a balanced<br />
development <strong>of</strong> pr<strong>of</strong>iciency in the four communication skills <strong>of</strong><br />
listening, speaking, reading, and writing. Basic structures,<br />
vocabulary, pronunciation, and writing are practiced along with<br />
continued familiarity with culture, history, and geography. Oral<br />
and written authentic text from native speakers is used as much<br />
as possible.<br />
MGRK 211 Intermediate Modern Greek I (3)<br />
(Fulfills the international perspective requirement.) Prerequisite:<br />
MGRK 112. A continued study <strong>of</strong> Modern Greek emphasizing<br />
balanced development <strong>of</strong> pr<strong>of</strong>essional pr<strong>of</strong>iciency in the four<br />
communication skills <strong>of</strong> listening, speaking, reading, and writing.<br />
Grammatical structure, vocabulary, pronunciation, and<br />
composition are practiced along with continued study <strong>of</strong> culture,<br />
history, and geography. Classes are conducted mostly in Greek<br />
and using authentic text from native speakers.<br />
MGRK 212 Intermediate Modern Greek II (3)<br />
(Fulfills the international perspective requirement.) Prerequisite:<br />
MGRK 211. A continued study <strong>of</strong> Modern Greek emphasizing<br />
balanced development <strong>of</strong> pr<strong>of</strong>essional pr<strong>of</strong>iciency in the four<br />
communication skills <strong>of</strong> listening, speaking, reading, and writing.<br />
Grammatical structure, vocabulary, pronunciation, and<br />
composition are practiced along with continued study <strong>of</strong> culture,<br />
history, and geography. Classes are conducted almost entirely in<br />
Greek and using authentic text from native speakers.<br />
MGRK 333 Greek Life and Culture I (3)<br />
(Conducted in English. Fulfills the historical or international<br />
perspective requirement.) A study <strong>of</strong> Greek contribution to<br />
western civilization, including architecture, art, literature,<br />
philosophy, and political thought. Emphasis is on ancient Greece.<br />
MGRK 334 Greek Life and Culture II (3)<br />
(Conducted in English. Fulfills the historical or international<br />
perspective requirement.) A study <strong>of</strong> Greek contribution to<br />
western civilization, including architecture, art, literature,<br />
philosophy, and political thought. Emphasis is on Modern<br />
Greece.<br />
2004-2005 Undergraduate Catalog 95