Videos
AP Calculus AB
Pick a topic to watch.
8 video lessons
16:16
Topic 1
Limits & Continuity
Here is a puzzle. A car's speedometer reads sixty kilometres per hour. But what does speed mean at a single instant? Speed is distance divided by time. Yet at…
7:54
Topic 2
Defining the Derivative
Picture a car's journey as a curve. Over a whole interval, we can measure its average speed — the slope of the straight line joining two points on the curve.…
6:49
Topic 3
The Chain Rule
Look closely at this function: the sine of x squared. It is really two functions, one inside the other. First, square the input. Then take the sine of the…
6:54
Topic 4
Interpreting the Derivative in Context
Now that we can compute derivatives, we use them to describe the real world. A derivative is a rate of change. How fast is a population growing? How fast is a…
10:27
Topic 5
Analysing Functions: The Mean Value Theorem
Imagine a road trip. Over two hours, you cover one hundred and twenty kilometres — an average speed of sixty. Here is a surprising promise: at some instant…
10:18
Topic 6
Accumulation & Integration
Differentiation found rates of change. Integration runs it in reverse: given a rate, it finds the total accumulated change. Here is the key picture. Water…
5:24
Topic 7
Differential Equations
Many real situations are described not by a formula, but by a rate. A population grows faster when it is larger. A hot drink cools faster when it is hotter. An…
6:04
Topic 8
Applications of Integration
What is the average value of a function? Not the average of a few points — the average across a whole interval. Picture the area under the curve. Now flatten…