Although you will not be allowed your own formula sheet, you may write formulas that you are concerned that you might forget in a convenient place on the exam. At this point, you should be fluent in the use of basic differentiation formulas, but may need help with organizing integration by parts or setting up integrals to calculate volumes. Trying to fit volume problems into the model of applying a formula may not be the best way to go from a statement of the problem to the first step in the solution. There are simple pictures that guide the formulation of these problems, but not everyone will see such a picture the same way. Since integration by parts is just a variant on the product rule of differentiation, no statement as a formula should be necessary.
Sequences arise in many different ways and concentrate attention on role of limits.
They apply to series through the sequence of partial sums of the series . Some problems will aim at assuring that you have mastered the vocabulary by being fairly easy in the correct interpretation while revealing any misinterpretation. Unfortunately, other limits associated with the terms of the series appear in the main theorems of the subject, and good behavior of both sequences and series are referred to as convergence . In early sections of the chapter, convergence is established by giving the limit, but the more important results are those that prove convergence by some sort of comparison test . You can expect several problems that depend on these tests.