Monthly Schedule

(IntroCal, Period B)

M 10/2/06

HW due: No additional problems, in honor of Homecoming weekend. However, please patch up your existing problems, especially #34 in §1.6, since there were entirely too many gaps last Friday.

 

T 10/3/06

HW due: Bring in a rock. (Just kidding!) Actual assignment: §2.2 #17-32 all. This should be familiar from precalculus. Tell me if this is not the case.

 

W 10/4/06

HW due: §2.3 #1-18 all, 40, 41 (OK to append to your in-class work if it was done legibly).

 

Th 10/5/06

HW due: §2.4 #2, 4, 6, 7, 23; §3.1 #7-10 all, 13, 14, 18; §3.2 #1-10 all. If you used your time in class productively, you may already have finished many of these.

Note: If you were confused by the typo in the original posting for the middle set (#7-10, 13, 14, 18), attach a note to your HW sheet and just do those problems over the long weekend. Those problems are in §3.1, and I apologize for the confusion.

 

F 10/6/06

No school.

 

M 10/9/06

No school.

 

T 10/10/06

HW due:

1. Write, in your own words, what the Don’t Chew Iodine rule signifies. If you can invent a mnemonic that you like better, then go for it! Provide both a positive and a negative example to show that you understand. (In other words, show a function that is differentiable and therefore continuous, and show a function that is continuous but not differentiable.)

2. Complete this sentence: Any function that is not continuous at a certain x value must be . . .

3. Write §3.1 #7-10 all, 13, 14, 18; §3.2 #11-22 all. Note that the §3.1 problems were already assigned.

Since you have 5 days to complete this assignment, I will be looking for completion when you return. Other than that, however, have a wonderful long weekend!

 

W 10/11/06

HW due: Read §3.3; write §3.3 QR #1-6 all (also computing derivatives), Exercises #14, 15, 18. The first one is done for you as an example.

QR1. Let f (x) = (x2 – 2)(x–1 + 1) = x + x2 – 2x–1 – 2 [by FOIL]
      f
¢(x) = 1 + 2x – 2(–1)x–2 – 0 = 2x + 1 + 2/x2
      Optional double check:
      By product rule, f
¢(x) = (x2 – 2)(x–1 + 1)¢ + (x2 – 2)¢(x–1 + 1)
         = (x2 – 2)(–x–2) + (2x)(x–1 + 1)
         = –1 + 2x–2 + 2 + 2x
         = 1 + 2x + 2x–2, same as above
ü

 

Th 10/12/06

Cumulative Quiz (60 points). Three of the questions will be similar to those with which we started yesterday’s class. The others will come from existing homework, with only the numbers changed.

 

F 10/13/06

HW due: Generate at least one good project idea, and write it down as a standard HW assignment in standard format. I have some ideas, and we will use mine unless you are able to generate better ones.

 

M 10/16/06

Suggested HW: Contact your fellow group members (by phone if necessary) and discuss how to flesh out your project concept into a worthy 100-point assignment with a due date of Wednesday, 10/25. We will use some class time to work on projects, but most of the work will be done outside of class.

 

 

Group #, Leader, and Others

Working Title

 

 

1. Max, Ali, Garrett H.
2. Evan, Bobby, Mark
3. Ryan, Henry, Marshall
4. Gabe, Chet, Jaime
5. Jamal, Austin, Chris

1. Juke
2. Teach a Section
3. GPS ETA (or Accelerometer-Based ICBM)
4. Cumulative Test
5. Running

 

T 10/17/06

HW due: Each group should produce a proposal of approximately half a page. Describe the outline of what you will do. Estimate the length of your final report, estimate the day on which you will be showing a rough draft (preferably Oct. 23 or 24), and if possible, indicate approximately how the workload will be divided among the group members. The last portion is optional for the moment, but you might as well think about it now. If your group leader is absent today, he must deputize someone else to deliver the proposal. Use standard HW format or a computer printout (your choice).

Note: The two groups that are working with the textbook (Group 2 and Group 4) must provide some details: Which section(s) will be emphasized? What applications, if any, will be highlighted? How will the material be made more interesting to the intended audience? Other groups can be somewhat more vague for the moment but should include a list of the materials that will be needed.

 

W 10/18/06

HW due: Progress check (oral) at beginning of class.

In class: More derivative and antiderivative practice, followed by approximately half the period for group work.

 

Th 10/19/06

HW due: Visit the COW site (Calculus on the Web). At the left side, click on “COW Home Page,” then “Calculus Book I” when the subsequent page comes up. Keep a log of 35 minutes’ worth of drill and practice. In addition to recording your start and end time on your HW sheet, record the names of the modules that you visited. Hint: You should be able to do all of the problems in Chapter 4 (“Techniques and Theory of Differentiation”), Modules 1 and 2. If you wish to visit more modules, that is fine.

 

F 10/20/06

No class today (Form VI retreat).

 

M 10/23/06

No additional HW due. However, each project leader should plan to give an oral report on project-related accomplishments. If the project leader will be absent, he must deputize someone to fill this role.

Notice: If your project is running behind schedule, today is the last day on which you can apply for a 48-hour extension. An extension may be granted if the situation warrants, but approval is not automatic and should not be assumed. Extension requests must be made in writing.

In class: Group work.

 

T 10/24/06

Last day for 24-hour extension requests. An extension may be granted if the situation warrants, but approval is not automatic and should not be assumed. Extension requests must be made in writing.

In class: Group work.

 

W 10/25/06

Project first draft due today (including group leader report). Please read the first draft guidelines carefully. Because the quarter ends Friday, extensions cannot be granted without special permission, and the maximum length of an extension will be 48 hours. However, no 48-hour extension requests will be considered after Monday, and no 24-hour extension requests will be considered after Tuesday. Rationale: If you are fewer than n hours from a deadline when you realize you will be at least n hours late, then it is obvious that you have not assessed your intermediate progress correctly.

 

Th 10/26/06

No additional HW due today. Several of the projects will be coming in today. For your planning purposes, please be aware that you will have this period as a work period after checking in for attendance. You may then go to the library, or to the field, or wherever you need to go. If your project is already complete, then you may have a free period after you check in.

 

F 10/27/06

Last day of first quarter.

 

M 10/30/06

No additional HW due. Please take a well-deserved break to celebrate all 5 groups’ having turned in their projects last week.

 

T 10/31/06

HW due: Solve the following problem. After you have filled a page full of scratch work and (hopefully) found an answer, rewrite in a cleaner version. Submit both the rough scratch work and the final version. The final version must include explanations and work. You may work with friends, but only if everyone in the group contributes, as evidenced by scratch work.

1. A pitcher hurls a fastball at home plate (see illustration below). A radar gun positioned at point R detects a velocity of 72.3 mph (96.4 ft/sec), but of course this is a measurement of the rate at which the distance BR is changing, not the speed of the ball itself. Use either the “Ali” method or the “Gabe” method (or both, if you wish) to compute the actual speed of the fastball. Hint: This problem is asking for the rate at which BH is changing. You will need to use trigonometry to calculate the length of BR. If you remember your geometry facts concerning triangles, you may even find this problem somewhat easier than the one we did in class Monday.

 

 


Return to the IntroCal Zone

Return to Mr. Hansen’s home page

Return to Mathematics Department home page

Return to St. Albans home page

Last updated: 04 Nov 2006