This optional reflection is intended to be used after Exam 2, after you have also received your graded exam back. Here you can reflect on how the exam went and potentially help point to some factors that were successful or unsuccessful in your studies, so that you can better prepare for future exams.

Two young mathematicians witness the perils of drinking too much coffee.

We use derivatives to help locate extrema.

Here we’ll practice on maxima and minima concepts.

We use the first derivative to help locate extrema.

Here we’ll practice using the first derivative test.

Here we examine what the second derivative tells us about the geometry of functions.

Here we’ll practice using the second derivative test.

Two young mathematicians discuss how to sketch the graphs of functions.

We use the language of calculus to describe graphs of functions.

Two young mathematicians discuss how to sketch the graphs of functions.

We will give some general guidelines for sketching the plot of a function.

Two young mathematicians discuss optimization from an abstract point of view.

Now we put our optimization skills to work.

Two young mathematicians discuss optimizing aluminum cans.

Now we put our optimization skills to work.

Here we’ll practice solving optimization problems.

Two young mathematicians discuss the idea of area.

We introduce the basic idea of using rectangles to approximate the area under a curve.

Two young mathematicians discuss cutting up areas.

Definite integrals compute signed area.

Two young mathematicians discuss a ‘Jeopardy!’ version of calculus.

We introduce antiderivatives.

Here we’ll practice T/F with antiderivatives.

Here we’ll practice basic antiderivative rules.

This optional reflection is intended to be used before Exam 3. Here you can plan on how you intend to study for the exam. It will help you to think about how you can prepare for the exam and what resources you have at your disposal.