Khan Academy Calculus BC: A Comprehensive Review

The AP Calculus BC course, offered by Khan Academy, is equivalent to a full year of college calculus covering both Calculus I and II. This article provides a comprehensive overview of the course, its scope, and what students can expect.

Limits of Functions: One and Two Sided

One of the core concepts in Calculus BC is the study of limits of functions. Students will learn to analyze one-sided and two-sided limits, which are essential for understanding various calculus topics such as derivatives and integrals. The course will delve into the definitions of both types of limits, their applications, and how they relate to each other.

Analysis of Graphs: Predicting and Explaining Behavior

Graphical analysis is a crucial aspect of Calculus BC. Students will learn to analyze graphs of functions, predict their behavior, and explain why they behave in certain ways. This includes identifying asymptotes, continuity, and limits of functions at different points on the graph.

$khan academy calculus bc$

AP Calculus BC: A Full Year Course

The AP Calculus BC course is designed to be a full year course, covering advanced calculus topics that are typically taught in colleges and universities. The material includes differentiation and integration, graphical analysis, and an introduction to vector calculus and polar coordinate functions.

Additional Topics Covered

In addition to the topics covered in AP Calculus AB, Calculus BC covers more advanced topics such as integration by parts, Taylor series, parametric equations, and polar coordinate functions. These additional topics provide students with a deeper understanding of calculus concepts and prepare them for college-level coursework.

AP Calculus: A Pathway to College Credit

The AP Program in calculus is designed to provide high school students with a rigorous academic experience that prepares them for college credit or placement. Students who take an AP course in calculus can seek college credit, placement, or both from institutions of higher learning.

In conclusion, the Khan Academy Calculus BC course provides students with a comprehensive understanding of advanced calculus topics. By covering one and two-sided limits, graphical analysis, differentiation, integration, and additional topics, this course prepares students for college-level coursework and provides them with a solid foundation in calculus.

Khan academy calculus bc