**AP Calculus** offers college-level mathematics through two distinct courses, **AP Calculus AB** and **AP Calculus BC**, both emphasizing a deep, multifaceted understanding of concepts through graphical, numerical, analytical, and verbal representations. **AP Calculus AB** covers foundational topics equivalent to a first-semester college course, focusing on limits, derivatives, integral calculus, and real-world applications involving rates of change and accumulation. **AP Calculus BC** encompasses the entire AB curriculum while expanding into advanced concepts equivalent to a full year of college calculus, including parametric, polar, and vector functions, advanced integration techniques, and infinite sequences and series. Together, these courses build a rigorous mathematical foundation, equipping students with essential problem-solving skills for higher-level math and STEM fields in college.