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

MA430 AP Calculus BC (Advanced Topics I): Contemporary Calculus
One trimester
Credit: One unit core mathematics credit.
Prerequisite: Final grade of A or higher in MA305 Precalculus and Modeling or B-
or higher in MA355 Precalculus and Modeling with Advanced Topics or
permission of the Dean of Mathematics.
Meeting pattern: Four periods per week including lab.
This course provides students with a fast-paced introduction to the concepts of
differential calculus and the applications of calculus to mathematical modeling.
Through class discussions, problem solving, laboratory experiences, and writing
assignments students discover the important concepts of calculus, develop an
understanding of these concepts, and use these concepts in solving realistic
problems. This course generally includes the completion of a substantial
mathematical modeling project. Calculators and computers are used as tools
in the course. Topics normally covered include the derivative, local linearity of
functions, linear approximations, some applications of the derivative, l’Hopital’s
rule and the concept of a limit.
MA432 AP Calculus BC (Advanced Topics II): Contemporary Calculus
One trimester
Credit: One unit core mathematics credit.
Prerequisite: Final grade of B- or higher in MA430 AP Calculus BC (Advanced
Topics I).
Meeting pattern: Five periods per week including lab.
This course continues the accelerated study of calculus and its applications to
mathematical modeling. Through class discussions, problem solving, laboratory
experiences, and writing assignments students discover the important concepts
of calculus, develop an understanding of these concepts, and use these
concepts in solving realistic problems. This course generally includes the
completion of a substantial mathematical modeling project. Calculators and
computers are used as tools in the course. Topics normally covered include
additional applications of the derivative, an introduction to differential
equations, slope fields, Euler’s method, definite and indefinite integrals,
numerical approximations of integrals, calculating area and total change of a
function, and some applications of integrals. Students also focus on skills
necessary for success on the AP BC Calculus examination.
MA434 AP Calculus BC (Advanced Topics III): Contemporary Calculus
One trimester
Credit: One unit core mathematics credit.
Prerequisite: Final grade of B- or higher in MA432 AP Calculus BC (Advanced
Topics II).
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