The fourth midterm is on Monday, November 24, during the regular class period.
The following is a chapter by chapter guide intended to help you organize the material we have covered as you study for your exam. It is only intended to serve as a guideline, and may not explicitly mention everything that you need to study. While this exam will not explicitly test chapters that are not included below, it is still a good idea to review what we have learned about functions, limits and computing derivatives, since these ideas are heavily used in the listed chapters.
Please start by taking a look at class notes and the material that we discussed in class. Then review all relevant textbook sections and homework problems for the chapters given below, and make sure you can solve all of them.
4.1 & 4.2: You should be able to use the derivative of a function to find all its critical points, and you should be able to classify each critical points as a local minimum, local maximum or inflection point. Finally, you should be able to find the global (ie, overall) maximum and minimum values of a function on a closed interval by looking at its values at critical points and endpoints.
4.3: Use the optimization techniques to model described situations and find maximum and minimum values.
4.6: Find the rate of change of a quantity by relating it to other variables, and use this technique to model described situations.
4.7: Know how to identify indeterminate forms, and how to use L'Hopital's Rule to compute limits of functions. (It might also be helpful to review the limit laws from Section 1.8 for this.)
5.1 & 5.2: Know how to interpret definite integrals as the signed area under a function between the endpoints of an interval. You should be familiar with the notation of definite integrals, and know how to compute them by finding areas geomtrically. You should know how apply integrals to compute change in position, given information about velocity as a function of time. Finally, you should be able to approximate a definite integral using a right or left hand Riemann Sum with a given number of rectangles. You will not need to compute the limits of these sums as the number of rectangles used goes to infinity.
5.4: You should know the properties of definite integrals listed in this chapter, and how to use them to compute integrals given information about the integrals of other related functions.
Maintained by ynaqvi and last modified 11/19/14