## 2016 - 2017 Fall Semseter MATH 1350 Survey of Calculus

Section 100 (Barsamian) Exam 4 Information

- Exam is on Monday, November 21, 2016 in Morton 273.
- You will need your OU student ID.
- No calculators, no books, no notes, no cell phones.
- The exam starts after 10:45am, as soon as all your stuff is put away
- The exam ends at 11:40am, no exceptions
- The exam covers Chapter 5 Sections 1,2,4,5
- exam is 8 problems, on 6 pages, printed on front & back of 3 sheets of paper
- Given functions
*f(x)* and *g(x)*, is *f(x)* an antiderivative of *g(x)*? Explain. (Concepts from Section 5.1.)
- Given a function
*f(x)*, find an antiderivative *F(x)*. Check by differentiating. (Concepts from Section 5.1.)
- Find the indefinite integral of a function
*f(x)*. Check by differentiating. (Concepts from Section 5.1.)
- Given a derivative, find the particular antiderivative that satisfies some additional given condition. (Concepts from Section 5.1.)
- Find the indefinite integral of a nested function
*f(x)* using the method of substitution (either the method that I taught in class, or the method that is used in the book, or some other method. Your steps must be clear and mathematically valid, with correct notation). Check by differentiating. (Concepts from Section 5.2.)
- A question about the Definite Integral of a function
*f(x)* and the signed area under the graph of *f(x)*. (Concepts from Section 5.4.)
- Use the Fundamental Theorem of Calculus to find the value of a Definite Integral. (Concepts from Section 5.5)
- A problem involving the
*total change of a function* or involving the *average value of a function over an interval*. (This is the subject of Section 5.5 Problems # 49, 51, 55, 69, 71, 89, 92.)

**Note:** All exam problems are based on the list of suggested exercises from the textbook and class drills.
**Note: On all problems, you should show all steps of the solution and use correct notation. (Remember that in this course, the objective is to not only get correct answers, but also present clear solutions to the problems.)**

Last updated Nov 15, 2016