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

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MA422 AP Calculus BC (II): Contemporary Calculus<br />

One trimester<br />

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

Prerequisite: Final grade <strong>of</strong> B- or higher in MA420 AP Calculus BC (1).<br />

Meeting pattern: Five periods per week including lab.<br />

This course continues the study <strong>of</strong> calculus <strong>and</strong> its applications to mathematical<br />

modeling. Through class discussions, problem solving, laboratory experiences,<br />

<strong>and</strong> writing assignments students discover the important concepts <strong>of</strong> calculus,<br />

develop an underst<strong>and</strong>ing <strong>of</strong> these concepts, <strong>and</strong> use these concepts in solving<br />

realistic problems. This course generally includes the completion <strong>of</strong> a substantial<br />

mathematical modeling project. Calculators <strong>and</strong> computers are used as tools<br />

in the course. Topics normally covered include additional applications <strong>of</strong> the<br />

derivative, an introduction to differential equations, slope fields, Euler’s method,<br />

definite <strong>and</strong> indefinite integrals, numerical approximations <strong>of</strong> integrals,<br />

calculating area <strong>and</strong> total change <strong>of</strong> a function, <strong>and</strong> some applications <strong>of</strong><br />

integrals. Students also focus on skills necessary for success on the AP BC<br />

Calculus examination.<br />

MA424 AP Calculus BC (III): Contemporary Calculus<br />

One trimester<br />

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

Prerequisite: Final grade <strong>of</strong> B- or higher in MA422 AP Calculus BC (II).<br />

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

This course continues the study <strong>of</strong> calculus <strong>and</strong> its applications to mathematical<br />

modeling. Through class discussions, problem solving, laboratory experiences,<br />

<strong>and</strong> writing assignments students discover the important concepts <strong>of</strong> calculus,<br />

develop an underst<strong>and</strong>ing <strong>of</strong> these concepts, <strong>and</strong> use these concepts in solving<br />

realistic problems. This course generally includes the completion <strong>of</strong> a substantial<br />

mathematical modeling project. Calculators <strong>and</strong> computers are used as tools<br />

in the course. Topics normally covered include additional discussion <strong>of</strong> Taylor<br />

series, additional techniques <strong>of</strong> integration, improper integrals, <strong>and</strong> more<br />

applications <strong>of</strong> integrals.<br />

MA420 MA422, MA424 constitute a comprehensive study <strong>of</strong> calculus <strong>and</strong><br />

include all <strong>of</strong> the topics on the AP Calculus BC syllabus.<br />

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