Reflection on Exam 2

Post-Exam Reflection for Exam 2 (Optional)

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.

Beginning of Exam 3 Content

1Maximums and minimums

1.1More coffee

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

1.2Extrema and Critical Points

We use derivatives to help locate extrema.

1.3Maxima and Minima Exercises

Here we’ll practice on maxima and minima concepts.

1.4The First Derivative Test

We use the first derivative to help locate extrema.

1.5First Derivative Test Exercises

Here we’ll practice using the first derivative test.

1.6Concavity and the 2nd Derivative Test

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

1.7Second Derivative Test Exercises

Here we’ll practice using the second derivative test.

2Concepts of graphing functions

2.1What’s the graph look like?

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

2.2Concepts of graphing functions

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

3Computations for graphing functions

3.1Wanted: graphing procedure

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

3.2Computations for graphing functions

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

4Optimization

4.1A mysterious formula

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

4.2Basic optimization

Now we put our optimization skills to work.

5Applied optimization

5.1Volumes of aluminum cans

Two young mathematicians discuss optimizing aluminum cans.

5.2Applied optimization

Now we put our optimization skills to work.

5.3Optimization Exercises

Here we’ll practice solving optimization problems.

6Approximating the area under a curve

6.1What is area?

Two young mathematicians discuss the idea of area.

6.2Approximating area with rectangles

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

7Definite integrals

7.1Computing areas

Two young mathematicians discuss cutting up areas.

7.2The definite integral

Definite integrals compute signed area.

8Antiderivatives

8.1Jeopardy! Of calculus

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

8.2Basic antiderivatives

We introduce antiderivatives.

8.3Antiderivatives: True/False Exercises

Here we’ll practice T/F with antiderivatives.

8.4Basic Antiderivatives Exercises

Here we’ll practice basic antiderivative rules.

End of Exam 3 Content

8.5Pre-Exam Reflection for Exam 3 (Optional)

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.

You can download a Certificate as a record of your successes.