Course Description: 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, Euler’s method, definite and indefinite integrals, numerical approximations of integrals, calculating area and total change of a function, additional discussion of Taylor series and power series, additional techniques of integration, improper integrals, and more applications of integrals. Advanced Calculus and AP Calculus BC constitute a comprehensive study of calculus and include all of the topics on the AP Calculus BC syllabus. Students are required to take the AP Calculus BC Examination at the end of the year.