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

ealistic 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 applications of the derivative,
Euler’s method, implicit differentiation and related rates, and the concepts of
definite and indefinite integrals.
MA414 AP Calculus AB (Advanced Topics III)
One trimester
Credit: One unit core mathematics credit.
Prerequisite: Final grade of C or higher in MA412 AP Calculus AB (Advanced
Topics II).
Meeting pattern: Four periods per week including lab.
This course continues the 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 basic techniques of integration,
calculating area and total change of a function, numerical approximations of
integrals, separable differential equations, and other applications of definite
integrals.
MA410, MA412, MA414 constitute a comprehensive study of calculus and
include all of the topics on the AP Calculus AB syllabus.
MA420 AP Calculus BC (I): Contemporary Calculus
One trimester
Credit: One unit core mathematics credit.
Prerequisite: Final grade of B+ or higher in MA305 Precalculus and Modeling or
permission of the Dean of Mathematics.
Meeting pattern: Four periods per week including lab.
This course introduces students 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.
50