Math 131: Calculus for the Physical and Life Sciences 1
Fall 2005
Exam 2 Information .

Department of Mathematics and Computer Science
College of the Holy Cross


Date and Time: Wednesday, October 26, 6:00 - 7:30 pm

Location: HABERLIN 103 (in the basement)

Scope of the Exam:

The second exam covers all of Chapter 2, and the first four sections of Chapter 3. The exam will be designed to take an hour but you will have an extra 30 minutes to check your work.

Review Session:

We will review for the exam in Tuesday's class, October 25. Please come prepared with specific questions.

Calculators:

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.

Preparing for the Exam:

A concise list of topics is given in the Chapter 2 Summary (p. 103) and the Chapter 3 Summary (p.159, up to and including the Chain Rule). You should go over the homework problems as well as your class notes. Many of the problems and questions we discuss in class are excellent examples of test questions. Listed below are some sample problems from the Chapter 2 respectively Chapter 3 Review as well as the Chapter 2 respectively Chepater 3 Check Your Understanding. Answers to even numbered problems are provided. Here is a  Sample Exam, and its  Solutions. Try working through the entire exam on your own before looking at the solutions.

Chapter 2 review, pp. 103-107
Problems:   1, 2, 3, 5, 6, 7, 8, 9, 11, 16, 17, 19, 20, 21, 23, 28
Even solutions:
16. concave up; the slopes (although negative) are increasing
20. x1 = 0.9, x2 = 1, x3 = 1.1, y1 = 2.8, y2 = 3, y3 = 3.2
28. (a) IV, (b) III, (c) II, (d) I, (e) IV, (f) II

Chapter 2 Check Your Understanding
Problems:   1, 3, 7, 11, 13, 15, 20, 21, 22 Even solutions:
20. True, f(x) = |x-3| works
22. False, f(x) = |x| is a counterexample

Chapter 3 review, pp. 159-164
Problems:   1, 2, 5, 9, 33, 37, 42, 58, 66, 72, 73, 83, 95.
Even Solutions:
2. -30/(5 + 3z)^2
42. 4/(e^x + e^(-x))^2
58. 6x(3x^3 - 2)(6x^3 + 15x - 2)(x^2 + 5)^2
66. (5/2)(5z)^(-1/2) + (5/2)z^(-1/2) - (5/2)z^(-3/2) + (sqrt(5)/2)z^(-3/2)
72. (a) -6, (b) 0, (c) -2

Chapter 3 Check Your Understanding
Problems: 1, 7, 19, 22, 23.
Even Solutions: 22. True, the derivative of a sum is the sum of the derivatives