Calculus+Type+Problems

=Calculus Type Problems=

These videos discuss several common types of questions asked on the AB and BC Calculus Exams. These questions generally include questions on topics from different parts of the year, often both integration and differentiation concepts in the same question. For this reason they are not treated in textbooks. Students can prepare them selves for these questions by working the questions and watching these videos.

The **area/volume problem** and the **Differential equation problem** including slope fields are exceptions, in that they are covered in textbooks in pretty much the same way they are tested on the exam. These will not be covered here; please see the pages on the Wiki where they are considered.

Rate and Accumulation:
The definite integral of a rate of change is the net amount of change. This idea is found in free-response question of the calculus exam every year.

Pre-video questions for you to try, and then watch the video: media type="custom" key="8177926"(45:03)

Motion Problems
Particles moving on a number line, cars moving on a straight road, and similar situations give raise to questions about position, velocity, acceleration and speed. The problem stem may be an analytic stem with information given by a function, a graph stem or a table of values.

Pre-video questions for you to try, and then watch the video media type="custom" key="8085472" and the Winplot demonstration used in the video.(1:00:01)

Questions Based on a Graph
Given the equation or the graph of the derivative answer questions about the function.

Pre-video questions for you to try, and then watch the video media type="custom" key="8177024" (55:59)

Table Problems
Question file and the video media type="custom" key="8707248"(51:16)

Differential Equations (including Slope Fields)
See the Differential Equation page.

Area and Volume questions
See the @Applications of Integration page