The quiz will be two problems, as follows:
Quiz Problem [1]: A problem similar to Suggested Exercises 2.1 # 47, 49
To prepare for Quiz Problem [1]
Quiz Problem [2] One problem similar to Suggested Exercises 2.1 # 61, 63:
To prepare for Quiz Problem [2]
The quiz will be one problem involving infinit limits and vertical asymptotes, similar to one of these five suggested exercises from Section 2.2: # 19, 21, 35, 37, 39
This is material from Section 2.2 and involves an analytic approach to infinite and vertical asymptotes. Some of this material may not have been covered in class. This quiz is meant to test whether you have read the book, studied the examples, and worked on the Matched Problems and Suggested Exercises.
To prepare for the quiz
The quiz will be one problem involving limits at infinity and horizontal asymptotes, similar to one of these nine problems from Section 2.2: # 43, 47, 51, 53, 63, 65, 67, 69
This is material from Section 2.2 and involves an analytic approach to limits at infinity and horizontal asymptotes. Some of this material may not have been covered in class. This quiz is meant to test whether you have read the book, studied the examples, and worked on the Matched Problems and Suggested Exercises.
To prepare for the quiz
The quiz will consist of one problem involving using a sign chart to solve an inequality, similar to one of these four suggested exercises from Section 2.3: # 47, 49, 51, 53
This is material from Section 2.3 and involves using a sign chart to solve an inequality. Some of this is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To Study for the quiz
The quiz will be one problem that will be one of the following three types
This is material from Section 2.4 that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for the quiz
Quiz 6 will be two problems, as follows:
Given function f (x), use the Definition of the Derivative to find f '(x). The function f (x) will be a quadratic polynomial function, similar to Section 2.4 Example 4 and Suggested Exercise 2.4 # 27.
To prepare for the quiz
Remarks:
The quiz will be five questions (A),(B),(C),(D),(E) of this format:
Given function f (x), find f '(x).
In each problem, function f (x) will be one of these types:
This is material from Section 2.5 and involves using the Constant Function Rule or the Power Rule to find a derivative. That is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To Study for the quiz,
(Remark: In each question on this quiz, you should use the Constant Function Rule or the Power Rule to find f '(x). Do not use the Definition of the Derivative.)
Quiz 8 will be one problem of this format:
Given function f (x) involving a sum of fractions containing constants and powers of x.
(A) Rewrite f (x) as a sum of terms that are each made up of a constant times a power function.
(B) Find f '(x). (Use the Sum and Constant Multiple Properties, along with the Power Rule and the Constant Function Rule.)
(C) Simplify your answer. (Be sure to rewrite your answer, if necessary, so that it has no negative exponents.)
The function f (x) will be similar to the functions from Suggested Exercises 2.5 # 45, 49, 51, 53, 55, 81
This is material from Section 2.5 that involves using the Sum and Constant Multiple Properties to find a derivative. That is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 8
(Remark: On this Quiz, you should find f '(x) using the Sum and Constant Multiple Properties, along with the Power Rule and the Constant Function Rule. Do not use the Definition of the Derivative.)
Quiz 9 will be two problems.
Problem [1] (5 points) will be similar to an Applications problem from Section 3.1. That is, it will be similar to one of the Suggested Exercises 3.1 # 25, 27, 29, 33, 35, 39, 41, 43.
To prepare for quiz problem [1]
Problem [2] (5 points) will be five basic derivatives involving the derivatives of the natural exponential and natural logarithm functions. This is material from Section 3.2, which we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for quiz problem [2]
Quiz 10 will be one problem that will be one of the following two types:
Some similar examples may have been discussed in class on Wednesday, September 23. But similar examples for some of the exercises will not be discussed in class until after Quiz 10 on Friday, September 25th, and some of the exercises will not be discusssed in class at all. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class on Friday, September 25th and worked on solving exercises based on that material.
To prepare for quiz 10
Quiz 11 will be one problem similar to one of the Suggested Exercises 3.3 # 17, 19, 21, 55. These exercises involve the derivative of a product or a derivative of a quotient. This is material from Section 3.3, which we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for quiz 11
Quiz 12 will be one moderately difficult problem involving the quotient rule. It will be based on one of the suggested exercises 3.3 # 25, 31, 33, 59, 73, 87
To prepare for Quiz 12
Quiz 13 will be two problems similar to Suggested Exercises 3.4 # 21, 29, 31, 37, 59. These exercises involve the derivative of a composite function where the outer function is a power function. The derivatives are found using the General Power Rule. This is material from Section 3.4, which we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 13
Quiz 14 will be one problem of one of the following types
These exercises are about the relationship between the increasing/decreasing behavior of a function f (x) and the sign of the derivative f ' (x). This is material from Section 4.1, which we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 14
Quiz 15 will be one problem about these topics
The quiz problem will be based on one of these suggested exercises: 4.1 # 17, 19, 21, 23, 25, 27, 41
To prepare for Quiz 15
Quiz 16 will be one problem about these topics
The quiz problem will be based on one of these suggested exercises: 4.1 # 29, 31, 41, 43, 85, 97
To prepare for Quiz 16
Quiz 17 will be one problem. Given a formula for a function f , you will answer questions about
The quiz problem will be based on one of these suggested exercises: 4.2 # 17, 19, 33, 35, 37
This is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 17
Quiz 18 will be one problem about the Closed Interval Method:
Given a function f (x) and a closed interval [a,b], use the Closed Interval Method to find the absolute maximum and absolute minimum values of f (x) on the interval [a,b].
(You must use calculus and show all details clearly. No credit for just guessing x-values.)
The quiz problem will be based on one of these suggested exercises: 4.5 # 26, 67
This is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 18
Note that the Closed Interval Method involves the following:
Quiz 19 will be one problem about the Second Derivative Test for Local Extrema or the Second Derivative Test for Absolute Extrema on an Open Interval.
The quiz problem will be based on Section 4.5 Example 2 or Example 3.
This is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 19
Quiz 20 will be one problem about Maximizing Area or Minimizing Cost.
The quiz problem will be based on Section 4.6 Examples # 1,2 or Suggested Exercises 4.6 # 33, 34.
This is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 20
Quiz 21 will be one A,B,C,D,E problem about antiderivative. Each of the A,B,C,D,E parts will be of this type:
Given some functions f and g, determine whether or not f is an antiderivative of g.
The quiz problem will be based on Section 5.1 Suggested Exercises 5.1 # 25, 27, 29, 31, 33, 34, 35, 36, 37, 38
This is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 21
Observations about the reading: This section introduces a new word, antiderivative. Here is a definition:
Definition of antiderivative
Given some functions f and g, suppose you want to determine whether or not f is an antiderivative of g. Simply find f '.
In other words, the only math that you need to do on this quiz will be derivatives. That is old math. But the questions will be written using the new word, antiderivatives.
Quiz 22 will be two problems involving indefinite integrals.
The problems will be based on Section 5.1 Suggested Exercises 5.1 # 43, 45, 47, 49, 51, 53
Some of this is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 22
Quiz 23 will be two problems involving indefinite integrals requiring the Substitution Method, based on Section 5.2 Suggested Exercises 5.2 # 11, 15, 17, 19, 23, 27, 29, 31, 33, 41
To prepare for Quiz 23
Quiz 24 will be one ABCDE problem about the Definite Integral and Riemann Sums
To prepare for Quiz 24
Quiz 25 will be one ABCD problem about using the Fundamental Theorem of Calculus to evaluate Definite Integrals, based on Suggested Exercises 5.5 # 19, 21, 23, 25, 35, 36
This is material that we will start discussing in class after the quiz. This quiz problem is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 25
Quiz 26 will be one question about the Area Between Curves. It will be based on Section 6.1 Examples 1, 3 and Suggested Exercises # 17, 55
This is material that we will start discussing in class after the quiz. This quiz is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 26
Quiz 27 will be based on Section 6.1 Examples # 4, 5 and Matched Problems # 4, 5, and Suggested Exercises 6.1 # 55, 67. The problem will be about the area of a region formed by two curves that intersect. In particular, the problem will involve determining the points of intersection.
To prepare for Quiz 27
Notice that in the examples, the matched problems, and the two suggested exercises, you have to figure out where the graphs intersect and which graph is on top. Then you have to figure out how to set up the integrals.
Quiz 28 will be based on Section 6.2 Example # 4, Matched Problem # 4 and Suggested Exercises 6.2 # 55, 57, about Consumers’ Surplus.
This is material that we will start discussing in class after the quiz. This quiz is meant to test whether you have studied the book material that we are going to cover in class that day.
To prepare for Quiz 28