For Thursday, April 18:

Page 361, problems 1, 3, 5, 7, 10 and have a go at number 21.

For Wednesday, April 17:

Page 295, problems 31 - 36, except problem 34.

For Friday, April 12:

Let's see if we have got this volume thing down. Page 412, problems 40(b), 67 and on page 415, problems 4(b) and 4(c).

For Thursday, April 11:

Tomorrow (weds.) at lunch we will do more volume problems. Then I will assign some more based on what we accomplish.

For Tuesday, April 9:

In the book, page 411, problems 11, 12, 14 and on page 435, problem 20.

For Monday, April 8:

In the book, Page 411, problems 5 and 6. Note that the difference between these two problems is that the base of one is the side of the square, and in the other it is the diagonal of the square.

Also do problems 63 (you don't have to write a written justification, just think it through) and 65 (you should use your calculator for this problem).

For Thursday, April 4:

• From the sheet I handed out in class, do 1a, 1b, 2a and 2b. It is also page 410 in the book.

Do the topic review for Wednesday (below). I will post an assignment after lunch on Wednesday that has to do with volumes.

For Wednesday, April 3:

Go through the list of topics and identify those which you feel you want to review.

For Tuesday, April 2:

• Page 316, problems 10 and 11.

For Monday, March 18:

In the packet of multiple choice problems that I handed out, do problems 8, 11, 20, 21 and 26.

For Friday, March 15, (beware the Ides of March):

In the book, page 377, problems 7, 8, 13 and 14.

Also do problem number 6 in the packet of multiple choice problems that I handed out.

AND, remember we will have a minor in-class opportunity on integrals, including u - substitution.

Bring your calculators. We will learn how to do integrals on the machines.

For Thursday, March 14:

We will do a few more practice problems using u - substitution at lunch on Wednesday. For Thursday, in the book on page 342, do problems 17, 19, and 23. For these problems, you are instructed what to use as u. Then do problems 25, 31, 33, 34 and 35.

For Tuesday, March 12:

Page 321, problems 39 - 42.

For Monday, March 11:

Page 306, problems 1 - 6, 9 and 10. Read the directions carefully. Page 308, problem 68. Also page 321, problem 46 and page 323 problem 60.

For Friday, March 8:

On page 308, problems 58 and 59.

For Tuesday, March 5:

Do the indefinite integrals on the worksheet I handed out in class. In case you did not get it, it is linked in below.

For Monday, March 4:

On page 320, do problems 15 - 24.

For Friday, March 1:

Page 295, problems 21 - 24, using the bounds to calculate the definite integral. Then on page 307, problems 27 - 35 odd.

For Thursday, February 28:

Page 295, problems 19 - 30 excluding 27 and 28. Ignore the bounds and just find the indefinite underivative for each integral.

For Tuesday, February 26:

Finish the problem we were working on in class. Also, on page 295, problems 5 and 6, and 46- 48.

For Monday, February 25:

Page 294, problems 1 and 2. I think I handed out the rules for integrals that are on page 289. We should be able to figure out these integrals with the information, the use of the rules and common sense. Think about what each integral means.

For Friday, February 22:

In the book, page 286, problems 7, 10, 11, 12. For these, keep in mind that the sqiggly s means the area under the curve (the limit of the sum of the areas of the rectangles). Also, remind yourself what a constant function looks like.

Then, do problems 13 and 14. Draw these functions to help see what you need to do.

Finally, do 29 - 32.

For Thursday, February 21:

Page 276, problems 28(a), 30, and 33-36.

For Tuesday, February 20:

1. Do the following problems with sigma notation. These are simple problems. I am just looking to see that you can interpret the notation and translate into operations. Do 39 - 42 and 53 - 56 below.

2. Also, on page 275, problem 18 presents a table of data. Treat the table as a function's table of values. Use both left hand and right hand rectangles to approximate what the area would be if the table represents a continuous function.

For Friday, February 8:

From the book, page 55, problems 15 - 18. Graph each of these and look at the graph to answer the question. Then 62, 63, 65 and 70. To do 70, graph the function on your calculator and draw whatever conclusions you can from the graph on your calculator.

For Friday, February 1:

No new homework. If I find my voice, I will be in. If I don't I will probably put a few new problems up for Monday. Don't forget we are having an in-class opportunity on Tuesday covering optimization and related rates. I am planning on making it only 5 problems.

For Thursday, January 31:

I think we are making progress. Let's try on page 256, problems 17 (use similar triangles to relate the water level and radius), 31 and 34.

For Tuesday, January 29:

I expect to get this assignment from everyone on Tuesday. The field trip folks are not exempt from doing it and getting it to me. Page 256, problems 19 (we have done ladder problems before), 21 (similar to the wagon problem) and 22 (same as the the kite problem).

I will get the field trip folks the work packet tomorrow (Tuesday) morning.

For Monday, January 28:

Page 255, problems 9 a - c (pay attention to sign, which entity is increasing and which is decreasing), 11 and 13.

In CHRIS ACADEMY there are two videos on related rates and two videos about implicit differentiation, if you want some further explanation.

For Thursday, January 24:

In the book, page 233, problems 36, 46 (remember, distance is the difference between the position of the two particles), and 47 (it's all about maximizing the area of the end piece because the length is just a multiplier -- you will have to use trig functions of theta).

For Tuesday, January 22 (my niece's birthday):

A few more optimization problems. Page 233, problems 30, 32 and on page 262, problems 46 and 54.

For Friday, January 18:

On page 231, problems 15, 16 and 21, and on page 262, problem 53.

For Thursday, January 17:

In the book, page 231, problems 6, 18 (don't worry about a, b, c and d, just find the largest box), 53 and 55. For 53 and 55, work out the problem as if it were not multiple choice.

For Thursday, January 10:

Those of you who were not at Calculus lunch on Wednesday will have an in-class opportunity on applications of derivatives. Your best bet is to work the practice questions I handed out in class.

For the rest of you, keep working on the practice problems and we will spend more time on them in class.

For Tuesday, January 8:

Page 206, problems 9 - 14.

For Thursday, December 20:

Alert!!!! The handout I gave you has a section that purports to explain the second derivative test, but it is just a repeat of the first derivative test. I guess I did not get as far on that one as I thought. I will fix it up.

Homework: First, page 199, problems 47 - 50. Then, page 219, problems 13, 14, 16 and 20. We will talk about how to confirm or deny that a function has a point of inflection where the second derivative is equal to zero.

For Tuesday, December 18:

Definitions of Absolute and Local extremes are on pages 191 and 193 of the book. The extreme value theorem is on page 192. Critical points are defined on page 194. (Don't worry about stationary points, I have never seen that term in an AP question.) We look for extremes at endpoints and critical points.

Homework: Page 198, problems 1, 3, 5 - 8 and 11 - 15. For 11 - 15, find all local and absolute minimums and maximums. Don't bother with "critical points that are not stationary points."

For Monday, December 17:

READ THIS!! I know that you are wondering why I have posted an assignment for Monday and not Friday. It is because I will not be here for class on Friday. (I have a DC SCORES meeting.)

I have two options. I can get a sub -- or I can simply let you not show up for class. I prefer to give you the period free. So you do not have to come to class on Friday. But PLEASE, PLEASE, PLEASE, behave. Be quiet, do not be a nuisance. Go to the library or to the CCO and study, or something innocuous. If you do anything that brings attention to yourself, you will get in trouble, and I will get in trouble for trusting you. So please.

OK, for Monday, on page 198, do problems 19 - 25. Find where (what x - value) extreme values occur. Use the first derivative test to determine whether the extremes are minimums or maximums.

For Tuesday, December 11:

• Here are some problems to practice derivatives of logs and exponentials. They are drawn from a different book so I have also posted the answers to odd problems.
• If you want general practice problems, I would look at all problems on pages 148 - 151, and on pages 186 - 188, problems 1 - 30, 35 - 48, 66 - 73,75 - 77, 79 and 80.

For Monday, December 10:

Work on the multiple choice practice problems in the multi-page packet with the heading on the first page, "Sample Multiple-Choice Questions: Derivatives." Ignore problems 9, 25 and 26. If you finish the multiple choice problems, there are additional practice problems on the last 3 pages. The answers to the multiple choice problems are as follows:

• 1 - E; 2 - D; 3 - C; 4 - E; 5 - D; 6 - D; 7 - E; 8 - D; 9 - skip; 10 -A; 11 - A; 12 - D; 13 - C; 14 - C; 15 - E; 16 - B; 17 - D; 18 - A; 19 - E; 20 - C; 21 - A; 22 - D; 23 - A; 24 - D; 25 - skip; 26- skip; 27 -B; 28 - A; 29 - D; 30 - D.
• If you choose to work on the problems on the single sheet, ignore problems 31 and 44.

For Friday, December 7:

Page 167, problems 16 - 24 even. Also, page 183, problems 16 - 28 even, and 71.

I have posted two videos, one that deals with derivatives of logarithm functions and the other with exponential functions.

For Thursday, December 6:

Page 183, problems 15 - 27 odd. These are all log derivatives. We will go over the derivatives of log functions at lunch on Wednesday. ALSO, page 167, problems 21, 23, 25, 29 and 30.

For Tuesday, December 4:

Page 167, problems 3, 5, 8, 11 and 27. I now have two videos that explain implicit differentiation. The first one lays out the basics and the second looks at slightly more complex examples.

For Monday, December 3:

Page 186, problems 1, 2, 14, 20, 22 and problems 81 and 82 on page 188.

For Tuesday, September 11:

• Finish any of the exponential problems that you had not done.
• Also, in the book on page 28, do problems 41 - 46.

For Friday, September 7:

• On page 43, problems 46, 47 and 48. If you need a refresher on these type of problems, look at page 41, Example 6. We will review exponential functions including bank interest and half life problems in class.

For Tuesday, August 28:

• Finish the multiple choice problems on the packet we were working on the first day of class.