Section 113 (Barsamian) Exam 4 Information

- Exam is on Friday, April 20, in Morton 237.
- No calculators, no books, no notes, no cell phones.
- The exam starts after 2pm, as soon as all your stuff is put away
- The exam ends at 2:55pm, 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.)- Discussed in Section 5.1 Example #1
- Discussed in Class on Mon Apr 2 (Meeting #39)
- The subject of Suggested Exercises 5.1 # 25, 27, 29, 31, 33, 34, 35, 36, 37, 38

- Find the indefinite integral of a function
*f(x)*. Check by differentiating. (Concepts from Section 5.1.)- Discussed in Section 5.1 Examples #2,3
- Discussed in Class on Tue Apr 3 and Wed Apr 4 (Meetings #40, 41)
- The subject of Suggested Exercises 5.1 # 9, 17, 19, 21, 23, 43, 45, 47, 49, 51, 53

- Given a derivative, find the particular antiderivative that satisfies some additional given condition. (Concepts from Section 5.1.)
- Discussed in Section 5.1 Examples #6,7
- Discussed in Class on Fri Apr 6 (Meeting #42)
- The subject of Suggested Exercises 5.2 # 55, 61

- 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.)- Discussed in Section 5.2 Examples #4, 5
- Discussed in Class on Mon Apr 9 and Tue Apr 10 (Meetings #43, 44)
- The subject of Suggested Exercises 5.2 # 11, 15, 17, 19, 23, 27, 29, 31, 33, 41, 65, 67, 81, 85

- 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.)- Discussed in Section 5.4 Examples #1, 3, 4
- Discussed in Class on Wed Apr 11 (Meeting #45)
- The subject of Suggested Exercises 5.4 # 11, 13, 15, 17, 19, 33, 41, 45, 49, 51, 53, 55, 56

- Use the Fundamental Theorem of Calculus to find the value of a Definite Integral. (Concepts from Section 5.5)
- Discussed in Section 5.5 Examples 2, 3, 4
- Discussed in Class on Mon Apr 16 and Tue Apr 17 (Meetings #47, 48)
- The subject of Suggested Exercises 5.5 # 13, 19, 21, 23, 25, 27, 30, 31, 35, 36, 39, 41, 45

- A problem involving the
*total change of a quantity*.- Discussed in Section 5.5 Examples 1, 5, 6
- Discussed in Class on Tue Apr 17 or Wed Apr 18 (Meetings #48, 49)
- The subject of Suggested Exercises 5.5 # 69, 71, 89

- A problem involving the
*average value of a function over an interval*.- Discussed in Section 5.5 Examples 8,9
- Discussed in Class on Wed Apr 18 (Meeting #49)
- The subject of Suggested Exercises 5.5 # 49, 51, 55, 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 April 17, 2018