Calculus for Social Sciences II (Sections 01 and 02)

Exam #2

Thursday, March 27, In Class

The second exam covers Sections 5.5 through 6.2, excluding Section 5.8. Note however, that much of the material from previous sections is still quite relevant (eg. Integration formulas, FTC part II.) It is recommended that you go over homework problems (HW#4 - 6) as well as your class notes. Many of the problems and questions we discuss in class are excellent examples of test questions. I have also listed some sample problems from the Chapter 5 and 6 Review Exercises below. Note that certain sections are not well-covered in the Chapter Review Exercises (such as trig. sub. and partial fractions). The odd answers are in the back of the book while the evens are listed here. The Concept-Check at the end of each chapter (before the exercises) is also a source for good questions. The exam will be designed to take roughly one hour although you will have the full class period (plus a little extra) if necessary.

Exam Review Session: We will review for the exam in class on Tuesday, March 25. Please come prepared with specific questions.

Note: You will be given a scientific calculator for the exam which does NOT have graphing capabilities so be prepared to answer questions without your personal calculator.

Chapter 5 Review Exercises, pp. 434 - 436
Problems:   18, 20, 22, 24, 27, 29, 32, 47, 50, 55, 57, 58, 59

The answers to the evens are:
18.   2/(3 Pi)
20.   (-1/3) ln 4
22.   4 ln 2 - 15/16
24.   25/9 - (100/9) e^(-3)
32.   x arctan(x) - (1/2)ln(1+x^2) + c
50.   17.736016
58.   diverges

Chapter 6 Review Exercises, pp. 494 - 495
Problems:   1, 2, 4, 6a, 6b, 7

The answers to the evens are:
2.   32/3
4.   Pi(25/12 + 1/(4e^4))
6.   (a) 5/12, (b) 41 Pi/105