MATH 130: Calculus I

Note: The course described on this page ended May 9, 2001
--David Eck

MATH 130: Calculus I
   Department of Mathematics and Computer Science
   Hobart and William Smith Colleges

   Spring, 2001.

   Instructor:  David J. Eck  (eck@hws.edu)

   Monday, Wednesday, Friday, 9:05--10:00 AM.
   Room Napier 101.
   
   Lab:  Thursday, 10:20--11:45 AM,
   Library Multimedia Computer Lab.

   Course Handout:  http://math.hws.edu/eck/courses/math130_s01.html
Labs and assignments for Math 130, and possibly other information about the
course, will be posted on this page as the course is taught
during the Spring term of 2001.

Lab Worksheets

Lab 1, January 25
Lab 2, February 1
Lab 3, February 8
Lab 4, February 15
Lab 5, February 22
Lab 6, March 1
Lab 7, March 8
Lab 9, March 29
Lab 10, April 5
Lab 11, April 12
Lab 12, April 19
Lab 13, April 26
Lab 14, May 3, will be a handout that is not available on line.

Webwork Login

You can use this form to log in to the WebWork on-line homework for this course:

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Final Exam

The final exam for this course will be given on Wednesday, May 9, at 8:30 AM in our regular classroom.

Here is an information sheet about the exam.

You should also review the information sheets from the first test, from the second test, and from the third test.

Fourteenth Week: April 30, May 2 and 4

In the in final week of the course, we will finish up Section 6.2 and do Section 6.3. The lab on Thursday and the class on Friday will be review for the exam. The final lab report due on Wednesday and the final WebWork assignment must be completed by Thursday at 11:30 AM. Here are some suggested exercises:

Section 6.2, # 5, 17, 21, 29, 55
Section 6.3, # 7, 11, 23, 25, 27

Thirteenth Week: April 23, 25, and 27

This week, as we head towards the end of the course, I hope to cover Sections 5.2 and 6.1 and begin Section 6.2. I will also talk about some of the material in Section 5.3. This is really just a summary section on analysis of graphs, so you have seen most of it already. Here are some suggested exercises from Sections 5.2 and 6.1:

Section 5.2: # 5, 7, 11, 21, 29, 39, 41
Section 6.1: # 1, 5, 9, 15, 17, 25, 31

The final WebWork homework of the term will be available some time this week, but will not be due until next week. There is no lab report due this week.

Twelfth Week: April 16, 18, and 20

There is a test of Friday of this week, which will cover Chapter 4, Sections 1, 2, 4, 5, and 6; Chapter 5, Section 1; and Labs 9, 10, and 11. Here is an information sheet about the test.

Your lab report for Lab 11 is due on Wednesday. There is no new WebWork assignment for this week. In class, we should finish Section 5.1 and cover Section 5.2. (However, Section 5.2 will not be on the test.) Here are a few suggested exercises in Section 5.1:

Section 5.1, # 1, 3, 7, 9, 13, 17, 21, 31

Eleventh Week: April 9, 11, and 13

This week, we will finish up Sections 4.5 and 4.6, and then we move on to Chapter 5. We will not cover Section 4.7. There is a lab report due on Wednesday, and the next WebWork homework should be completed by class time on Friday. Here are a few more suggested exercises from Chapter 4:

Section 4.5: # 21, 25, 27, 37
Section 4.6: # 3, 5, 9, 15, 27

Reminder: There is a test next week on Friday, April 20.

Tenth Week: April 2, 4, and 6

We spent the week finishing Section 4.4 and working on Section 4.6.

Ninth Week: March 26, 28, and 30

The next test will be on Friday, April 20,
not on Wednesday, April 18,
as was originally announced.

This week, we will cover Sections 4.1, 4.2, and 4.4. We will skip Section 4.3 (Implicit Differentiation). This means that we will also have to skip over a few references to implicit differentiation later in the book.

Some suggested problems from these sections:

Section 4.1: # 1, 3, 9, 11, 17, 19, 35
Section 4.2: # 1, 5, 11, 13, 17, 23, 29, 55
Section 4.4: # 3, 7, 13, 21, 27, 29, 37, 43, 45

There is no lab report due this week, but there is a short WebWork homework set due by the beginning of lab on Thursday.

Eighth Week: March 19, 21, and 23

There is a test this week, on Friday, March 23. It will cover Chapter 2, sections 3, 4, and 5; Chapter 3, sections 1 through 5; and Labs 4 through 7. Information about this test can be found on the information sheet for the test.

The next WebWork Homework is due on Thursday.

We will finish Chapter 3 this week. We might start in on Chapter 4, but any material that we cover from Chapter 4 will not be on the test. Here are some suggested problems from Section 3.5:

Section 3.5, # 1, 5, 7, 15, 19, 21, 23, 27, 29, 31, 39, 45, 57, 63, 65

Sixth and Seventh Weeks: February 26 to March 9

We will continue working through Chapter 3, which introduces derivative functions and covers most of the essential material on finding derivatives of formulas. By Friday, March 9, we should be doing Section 3.5. Note that we will not cover Section 3.6.

March 10 is the beginning of Spring break. Please remember that there is a test coming up on the Friday after Spring break. I expect the test to cover material through Section 3.5. The next WebWork homework (#5) is available as of Sunday, March 4, and is due on the Thursday after break.

Here are the suggested practice problems for Sections 3.2, 3.3, and 3.4:

Section 3.2, # 1, 5, 7, 9, 21, 23, 25, 35
Section 3.3, # 3, 5, 11, 17, 23,27, 37, 43, 57, 61, 77
Section 3.4, # 1, 3, 7, 11, 13, 17, 33, 35

Fifth Week: February 19, 21, and 23

This week, we will finish Chapter 2 and begin Chapter 3. You should read up to Section 3.2. From section 2.5, you only need to know the limit of sin(x)/x as x approaches 0, the limit of (1-cos(x))/x as x approaches 0, and how to use these limits to compute other limits involving trigonometric functions.

Lab Report 4 is due on Wednesday. There is no WebWork assignment due this week, but there will be a new WebWork homework set available on Thursday or sooner.

Here are some suggested practice problems:

Section 2.4: # 1, 3, 7, 9, 13, 15, 23
Section 2.5: # 17, 23, 27, 29, 35, 37, 51
Section 3.1: # 1, 5, 7, 11, 15, 21

Fourth Week: February 12, 14, and 16

There is a test on Friday of this week. It will cover Chapter 1, Sections 1 through 6; Chapter 2, Sections 1 and 2; and the first three labs. Here is a list of the key terms and ideas that you should know for the test (I will hand this out in class on Wednesday):

Test 1 Info Sheet

Your lab report for Lab 3 is due on Wednesday. You have to compete WebWork Homework 3 by 10:20 AM on Thursday. There will be no new WebWork homework for next week, but I will assign some written homework next Monday in its place.

The lab this week will be mostly review for the test. However, there will be one exercise related to Section 2.3 that you will do for your next lab report.

Third Week: February 5, 7, and 9

The reading for the week is Chapter 2, Sections 1, 2, and 3, although we probably will not finish Section 3 before the end of the week. Here are some practice problems for this week. These problems are not to be turned in or graded.

Section 2.1: # 1, 5, 7, 11, 13, 21
Section 2.2: # 1, 3, 7, 11, 13, 17, 25, 49, 51, 55

Your lab report for the February 1 lab is due on Wednesday. As I said in an e-mail to the class, you should only turn in Exercises 1, 2, and 3. There will be a new WebWork homework on Thursday, when the second WebWork homework is due.

Don't forget that there is a test on Friday of next week. It will cover Chapter 1 and Chapter 2 up to section 2.3. You can expect a variety of problems. Some will be like the WebWork problems and the practice problems from the textbook. You might be asked to define a few terms. There will probably be one or two longer essay-type questions that ask you to demonstrate your understanding of important concepts.

Second Week: January 29 and 31; February 2

The reading for the week is Chapter 1, Sections 4, 5, and 6. These are long sections, and we cannot possibly cover all the material in these sections in one week. However, this material is still pre-calculus, rather than calculus, so you should be generally familiar with it. You should pay attention to what we do in class, in the labs, and in the homework. I will try to pick out the topics that are most important for our further work in this course.

Here are some practice problems for you to try. These problems are not to be turned in or graded.

Section 1.4, # 3, 5, 15, 21, 31, 35, 43, 47
Section 1.5, # 3, 15, 17, 21, 27

Remember that the lab report from last week is due in class on Wednesday. In addition, the WebWork problems from last week must be completed by the beginning of lab on Thursday (10:20 AM). A new set of WebWork problems for this week will be available at that time.

First Week: January 22, 24, and 26

The reading for this week is Chapter 1, Sections 1, 2, and 3 in the textbook. You should also read the Introduction from the textbook. Here are some suggested practice problems from these sections for you to work on. These are not homework assignments and will not be collected. In fact, since these are all odd-numbered exercises, the answers can be found in the back of the textbook.

Chapter 1, Section 1: # 3, 5, 7b
Chapter 1, Section 2: # 1, 3, 7, 11, 15

In the lab on Thursday, you will be introduced to WebWork. Note that the Homework 1 problem set in WebWork must be completed before the start of lab on the following Thursday (February 1).

The other homework for the week is a lab report on Lab 1, which is due in class next Wednesday, January 31. Remember that if you work on the lab in a group, then you and your partners have the option of turning in one lab report for the group or turning in individual report.