Calculus BC

It is catching on!!!!!


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

Do some of the problems in the practice test.




For Tuesday, March 12:

On page 505, look at problems 40 - 43, and on page 534, problem 72.



For Monday, March 11:

In the book, page 515, problems 7 - 21 odd.

For Friday, March 8:

I will have some more fun radius of convergence problems for you in class.

For Monday, March 4:

In the book (you remember the book, right), page 497, problems 37 - 42.


For Wednesday, February 27:

Page 496, problems 15 - 17 (b) only, and 18 - 21.


For Tuesday, February 26:

Page 496, problems 7 and 9. Also, problems 39, 40 and on page 506, problems 1 and 2.



For Monday, February 25:

Page 496, problems 1 and 2. A "fourth order" Taylor series means through the fifth term, the term with the fourth derivative as a coefficient. If you need to look t the definition again, look at the bottom of page 491.



For Wednesday, February 20:

Let's plan on talking about the two multiple choice problems below. Also, see if you can come up with a power series for the cosine function. Recall, the first term is the value of the cosine at x = 0. Then, each following term has to be the same as the corresponding derivative of the cosine at x = 0. If you want a little more context, you can look at page 489 in the book


For Tuesday, February 19:

I want you to look at 5 problems before class on Tuesday. First, in the book, page 486, problems 33 - 37. Then the following two AP problems, which I think we have talked about, but look at them again.


For Friday, February 15:

In the book, page 485, problems 11 - 20 and 37.



For Tuesday, February 12:

  • Finish the problems on the sheet. I'll have more for class.
Series Questions.pdf

For Wednesday, February 6:

From the following, do problems 13 - 16, 19 - 27 (odd) and 49 -- Zeno's paradox.



For Tuesday, February 5:

  • Do 55 - 57 and 61 - 64 below.






For Friday, February 1:

On the following problem page, do problems 73 - 77. I will be there if I find my voice. Otherwise, you will have to find something else to do and we will talk about convergence and divergence on Monday.

Infinite Series.pdf





For Tuesday, January 29:

On the same problem set, page 837, problems 55 and 56. On 844, 39 - 42.



For Monday, January 28:

Work through the problems assigned for Friday to be sure you are comfortable with the notation and what it means.

ALSO, using the formula for S - sub n below, which means the sum of a series through the nth term, 39 - 46 on page 844 from Friday's assignment.


For Friday, January 25:

From the following problem sets:

page 831, problems 23, 25, 27, 39, 43, 45, 53, 54, 58, 59 and 65.

page 837, problems 5, 8, 9, 11, 14, 23, 25, 39, 41, 43 and 52. Don't forget the formula for the sum of an arithmetic sequence, S-sub n equals the first term plus the last term all times half the number of terms.

page 844, problems 5, 7, 9, 12, 14, 17, 18 33 and 36 - 38.

I know this looks like a lot of problems -- because it is a lot of problems. But each problem is quick and fairly easy. I just want you to get some experience and comfort using the notation and the concepts.

Sequences -- problem sets.pdf

For Wednesday, January 23:

I have been commanded not to give you any homework tonight.



For Tuesday, January 22:

Try these two calculator problems:



For Friday, January 11:

We will have a five multiple choice related rates in-class opportunity (unless I find a really good FRQ). If you want some practice related rates problems, let me know and I will find some specific problems for you.



For Tuesday, January 8:

On the related rates worksheet, problems 5b (page 8), 6 and 22 (both on page 9).



For Friday, December 21:

Do the watering trough problem and the bungee jumping problem in the packet of related rates problems (pages 7 & 8).



For Wednesday, December 19:

OK, some relatively simple related rates problems. First, here is my related rates guidelines. Second, try problems one and three below.

Related Rates Guidelines.pdf

Problem 1: A spherical balloon is being inflated at a rate of 75π ft3/min. How fast is the balloon’s radius increasing when the radius is 5 feet?

Problem 3: A hot air balloon is rising straight up from a level field. It is being tracked by an observer, 500 feet from the lift off point. At the moment that the angle of elevation from the observer to the balloon is π/4, the angle is increasing at a rate of 0.14 radians per minute. How fast is the balloon rising at that moment?

For Tuesday, December 11:

Try these four optimization problems:




For Friday, December 7:

From the problem set below, that we used for Wednesday, problem 36 (page 2) and problem 20 (page 3).


For Wednesday, December 5:

  • On the following set of problems, do 1st page problem 34, and 2nd page problem 35 and 37. Then pick one problem from number page two 36, 38, page 3 problem 19, 20 or page 4 problem 20.
Optimization Problems.pdf

For Tuesday, December 4:

Optimization. Should be easy. Let's try on page 231, problems 5, 9, 15 and 18.


For Monday, December 3:

Page 333, problems 52 - 55.



For Friday, November 16.

Try problems 23 and 24 on page 471. Wow, some of you won't be here, I am leaving during class and I won't be here next week. I will see some of you on Friday. We can define things for the next week at that time. I will also leave you some problems to do on Monday with your sub.

For Wednesday, November 14:

Page 471, problems 5 - 8, 13 and 15.




For Tuesday, November 13:

Page 373, problems 11-14, 21, and on page 377, problems 23 and 24.



For Monday, November 12:

Page 373, problems 4, 5, 7 (first do the long division), 11 and 12.


For Wednesday, November 6:

We will have a few multiple choice integration by parts problems -- a little in-class opportunity. Then we will look at partial fraction decomposition.



For Tuesday, November 6:

In the book, page 350, problems 7, 10, 20, 24 and 38-40.


For Thursday, November 1:

Page 350 in the book, problems 11, 12, 15 and 16.

Also, try 1, 2, and 7 from the following:



Integration by Parts


For Monday, October 29:

Do the problem that I posted for Friday.


For Friday, October 26:

See what you can do with the following:



For Tuesday, October 23:

Finish the packet. I think it is time to have an in-class opportunity on parametrics, vectors and polars, and then we will move on to new methods of integration.




For Wednesday, October 17:

I'll try to go easy with this one. Page 565, problems 45, 47 and 51. If you need a refresher, the formulation for the area under polar curves is on page 560 and samples of the various curves are on pages 562 and 563.

Oh yes LOOK OVER MY GUIDELINES for parametrics, vectors and polar curves.


For Tuesday, October 16:

First, read the hand out that I gave you, which sums up what we should know about parametrics, vectors and polars. We have not gotten to the area questions, but we will. Let me know what does not make sense, what is wrong and what is not clear.

Second, in the book, page 565, problems 39, 40 and 42. Also, page 567, problem 24.




For Monday, October 15:

In the book, page 564, problems 21 - 29 odd. Have a shot at 26 also. Using the three basic identities, you should have no trouble. The problem we were looking at in class was not friendly to being solved without a calculator.








For Tuesday, October 9:

No homework, but you wouldn't have done it anyway.



For Friday, October 5:

Page 552, problems 35, 36 and 46a&b. Remember speed is the magnitude of the velocity vector and is found based on the Pythagorean principle that the length of the vector is the square root of the sum of the x and y coordinates squared.



For Wednesday, October 3:

Page 552, problem 26. Draw a diagram that shows the vectors and how they represent the situation.



For Tuesday, October 2:

Page 552, problems 1 - 4 and 5 - 15 odd. Read pages 544 and 545 for some explanation if you need.



No homework for Friday or Monday. On Monday we will begin polar coordinates. During class, work on what ever you want, but be nice to the sub.


For Wednesday, September 26:

Do the problems on the following document from my google drive, woohoo!!!!!!!!

Parametrics - More




For Tuesday, September 18:



For Friday, September 14:

  • Do problems 20, 21, 63 and 64 below.

For Wednesday, September 12 (my sister's birthday):

  • do the problems I have posted below, 6, 7, 8 and the second problem 6.





For Tuesday, September 11:

  • Finish the problems on the worksheet we were working on in class.

For Friday, September 7:

  • Page 541, problems 8, 10, 12, 14, 15 and 16, find the second derivative.
  • In class we will do 5 multiple choice problems, but they will only cover the basics of parametrics and the first derivative of a parametrically defined function.

For Wednesday, September 4:

  • Page 541, 7 - 16 and 23 - 25. For 7 through 16, only find the first derivative (dy/dx). Do not worry about the second derivative. Remember

For Tuesday, September 3:

  • Here is a new Shooting For the Moon parametrics problem:



For Friday, August 31:

  • Finish the problem we were working on in class. I have set out the problem below.

For Wednesday, August 29:

  • On the handout, see if you can think through the matching problems 47-50 before checking them on your calculators. Also, see if you can sort through problem 35.


For Tuesday, August 28:

  • On the parametrics packet, page 807, problems 1, 3, 7, 12, 29 (just find the cartesian equation). Bring your calculators.