AP Calculus MATH 136-04

Exam #1

Wednesday, Sept. 27, IN CLASS

The first exam covers Chapter 1 (excluding Section 1.4), Chapter 2, and Sections 3.1 and 3.2. It is recommended that you go over the homework problems (HW#1 - 3) 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 1 and 2 Review Exercises below. 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 the full class period (45-50 minutes).

Exam Review: We will review for the exam on Monday, Sept. 25th, during class. 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 1 Review Exercises, pp. 84 - 85
Problems:   1, 5, 7, 9, 11, 12, 16, 17, 19, 23, 25, 26, 27, 31, 32a

The answers to the evens are:
12.   Graph the ln(x) function, shift it right by 2 units and stretch it vertically by a factor of 3.
16.   This is a piecewise function which is continuous at x = 0.
26.   (a) ln 5, (b) e^2, (c) ln(ln(2))
32a.   x = 2 + 2 cos(t), y = 2 sin(t), Pi/2 <= t <= 3Pi/2

Chapter 2 Review Exercises, pp. 176 - 178
Problems:   1, 3, 5, 7, 11, 12, 13, 16, 19, 21, 23, 25, 27, 28 (a and b), 31, 33, 34, 37, 41, 43

The answers to the evens are:
12.   1/3
16.   -1
28.   (a) f'(2) = 10, (b) y = 10x - 16
34.   Your graph should be discontinuous at the cusp.