3098y-H

AP Calculus AB/BC Honors

Prerequisite: 

B- or above in Pre-Calculus or equivalent. 

*Pending course enrollment: This course will run provided that sufficient student enrollment of a minimum of 10 students is reached.

Description:

This course includes both AP Calculus AB and AP Calculus BC components. The BC component will be offered in Quarter 4 if there is sufficient student interest in taking the AP Calculus BC exam. By integrating the complete AP Calculus AB and BC curricula into a single academic year, this course is highly rigorous and fast-paced. Students progress from foundational calculus concepts to advanced topics usually covered over two college semesters, demanding strong mathematical skills, consistent effort, and a high level of commitment. This structure offers motivated students an authentic college-level experience and outstanding preparation for future studies in STEM fields.

AP Calculus AB:  AP Calculus AB is roughly equivalent to a first-semester college calculus course and focuses on the foundations of differential and integral calculus. Students learn to approach mathematical concepts through multiple representations, graphical, numerical, analytical, and verbal, and to make meaningful connections among them.  Technology is used throughout the course to solve problems, run experiments, interpret results, and support conclusions. Students enrolled in this course will take the Advanced Placement (AP) Calculus AB Examination in May.

This part of the course includes topics such as Limits and continuity, Differentiation, Applications of derivatives, Integration, Applications of integrals and Differential equations and mathematical modeling.

AP Calculus BC:  AP Calculus BC is an advanced-level course designed for students seeking a deeper and more rigorous understanding of calculus, particularly those planning to pursue studies in science, technology, engineering, or mathematics (STEM) fields. This component begins after the completion of Semester 1 and prepares students for the AP Calculus BC Examination in May.  In addition to all AB topics, students study more advanced concepts that extend their understanding of calculus.  This part of the course includes topics such as Parametric, polar, and vector functions, Advanced techniques of integration, Applications of derivatives and integrals, Sequences and series, including Taylor and Maclaurin series

This part of the course emphasizes problem-solving, mathematical reasoning, and real-world applications of calculus in areas such as physics, economics, and engineering, providing students with a strong foundation for university-level STEM programs.

Assessment:

Exams/tests/quizzes/learning checks.