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NCSSM COURSE CAtAlOG - North Carolina School of Science and ...

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Prerequisite: MA480 Vector Functions <strong>and</strong> Partial Derivatives <strong>and</strong> permission <strong>of</strong><br />

the Dean <strong>of</strong> Mathematics.<br />

Meeting pattern: Four periods per week.<br />

This is the second half <strong>of</strong> a university-level course in multivariable calculus. This<br />

course includes the theory <strong>and</strong> application <strong>of</strong> multiple integrals <strong>and</strong> vector<br />

fields. Topics include multiple integrals, the Jacobian <strong>and</strong> change <strong>of</strong> variables,<br />

<strong>and</strong> line <strong>and</strong> surface integrals. Significant time is devoted to consideration <strong>of</strong><br />

Green’s Theorem, Stoke’s Theorem, <strong>and</strong> the Divergence Theorem. Numerical<br />

methods such as Simpson’s Rule for volumes under a surface <strong>and</strong> modeling with<br />

vector-valued functions <strong>of</strong> a vector are included.<br />

MA490, MA492, AND MA494 Advanced Mathematical Topics<br />

One trimester each<br />

Credit: One unit each core mathematics or core elective credit.<br />

Prerequisite: Permission <strong>of</strong> the Dean <strong>of</strong> Mathematics.<br />

This course <strong>of</strong>fers an opportunity for students with an especially strong<br />

background in mathematics to pursue a rigorous study <strong>of</strong> a topic outside the<br />

st<strong>and</strong>ard curriculum. The topic chosen may be in mathematics or a<br />

mathematical study <strong>of</strong> another field. Students are expected to make formal<br />

presentations <strong>and</strong> to write a paper on the topic. This course is intended for<br />

students who have exhausted the other course <strong>of</strong>ferings in mathematics or who<br />

wish to do independent research in mathematics.<br />

CROSS-LISTED <strong>COURSE</strong>S<br />

Courses listed below are interdisciplinary courses in mathematics <strong>and</strong> at least<br />

one other subject area. Full course descriptions <strong>and</strong> credit information may be<br />

found in the areas indicated.<br />

EE350 Introduction to Engineering – Mechanical<br />

Read description under Program in Applied <strong>Science</strong>s.<br />

EE352 Introduction to Engineering – Electrical<br />

Read description under Program in Applied <strong>Science</strong>s.<br />

EE354 Architecture <strong>and</strong> Civil Engineering<br />

Read description under Program in Applied <strong>Science</strong>s.<br />

EE404 Statics<br />

Read description under Program in Applied <strong>Science</strong>s.<br />

IE374 Research Experience in Applied Chemistry <strong>and</strong> Engineering<br />

Read description under Interdisciplinary Elective Courses.<br />

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