1. Finding the area of a regular figure like a square or a rectangle can be fairly simple and precise. On the other hand, it can be very difficult to find a close approximation for the area of an irregular figure. What are some methods that can be used to find the area of an irregular figure and which methods will give the best approximation?

2. Brainstorm some real-world applications where integration could be helpful. Then describe your examples and explain how integration fits in.

3. A strategy is a plan that is put together to achieve a specific goal. This unit is all about strategies. Specifically, this unit will present you with difficult problems that will require you to develop and use new strategies and techniques to solve difficult problems. Now describe a situation where you used a strategy and did not achieve the desired goal. Explain why you feel that strategy didn't work and how you could improve the strategy to increase the probability of reaching your goal.

4. This is the last unit in a year-long calculus course. Knowing what you know today discuss the following question, "Is calculus for everyone?"