The final exam is on Friday, December 12, 8:30am-11:30am, in Trumbower 347.
This exam is cumulative, so it is very important to review the material covered in Midterm Exams 1, 2, 3 and 4. The following is a chapter by chapter guide intended to help you organize the material we have covered after the last midterm, as you study for this exam. It is only intended to serve as a guideline, and may not explicitly mention everything that you need to study.
Please start by taking a look at class notes and the material that we discussed in class. Then review all relevant textbook sections and at the homework problems to make sure you can solve all of them.
5.3: Know the statement of the First Fundamental Theorem of Calculus, and how to use it to solve problems in which you are asked to compute a definite integral. You should also know how to find the units of your final answer, by multiplying the units of the integrand and the units of the variable of integration.
6.1: You should be able to draw the graph of an anti-derivative of a function given in graphical form, by using the signed area of the given graph to get function values for the anti-derivative. In particular, you should be able to use the given graph to show features of the anti-derivative graph such as height, slope and concavity.
6.2: You should be able to compute the anti-derivates analytically for the functions contained in this chapter, including polynomials, exponential functions, sin(x) and cos(x), as well as sums and constant multiples of such functions. Note that we use these to find indefinite integrals (as a function with an unknown constant) and definite integrals (as a number obtained by evaluating this function in the appropriate way).
6.4: Know the statement of the Second Fundamental Theorem of Calculus, and how to use it to solve problems in which you need to find the derivative of an integral (or area) function.
Maintained by ynaqvi and last modified 12/04/14