Chapter 4: Assessment
- Due Oct 15, 2020 by 11:59pm
- Points 15
- Submitting a file upload
- File Types pdf
In order to "collect" the Section assessments you passed in this Chapter, you must complete the Chapter Assessment. Write up the following exercises according to the Writing Style Guidelines.
- Choose one of the following exercises:
- Chapter Review Exercises 398
- The contour map below (download image for write-up) shows wind speed in knots during Hurricane Andrew on August 24, 1992. Use it to estimate the value of the directional derivative of the wind speed at Homestead, Florida, in the direction of the eye of the hurricane.
- Show that any function of the form
is a solution of the wave equation
[Hint: Letand
.]
- Choose one of the following exercises:
- Chapter Review Exercises 408
- Chapter Review Exercises 412
- Sketch several level curves of the function
. Sketch the gradient vector at a few points on some of the level curves. Use your sketch to explain the relationship between the direction of the gradient vector of
and level curves of
- Choose one of the following exercises:
- Find the absolute maximum and minimum values of
on the set
.
- Find the points on the surface
that are closest to the origin.
- Three alleles (alternative versions of a gene) A, B, and O determine the four blood types A (AA or AO), B (BB or BO), O (OO), and AB. The Hardy-Weinberg Law states that the proportion of individuals in a population who carry two different alleles is
where,
, and
are the proportions of A, B, and O in the population. Use the fact that
to show that
is at most
.
- Find the absolute maximum and minimum values of
When you have carefully and legibly written up your choice of exercises, scan your written work to a pdf file using the Adobe Scan app and upload the pdf file for my review. If you receive a 90% or above, then you have passed this assessment. If not, you must revise and re-submit your work until you pass the assessment.
Rubric
Find RubricKeep in mind that 33 students have already been assessed using this rubric. Changing it will affect their evaluations.
| Criteria | Ratings | Pts | |||
|---|---|---|---|---|---|
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Exercise 1: Correctness
The mathematics is correct.
threshold:
pts
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pts
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Exercise 1: Clear, concise, complete sentences.
Good grammar, spelling, not too wordy, but has connecting narratives between calculations.
threshold:
pts
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pts
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Exercise 1: Organized narrative, majestic plural.
There must be a clear narrative arc to the exercise. Organization is important. Avoid use of "I" use "we". Avoid gendered language.
threshold:
pts
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pts
--
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Exercise 1: Self-contained.
The opening of the response must be a narrative statement of the exercise that naturally includes the instructions, but in a natural way that flows to the solution. It can't be a verbatim restatement of the exercise followed by a separate response. Write as if you're describing the problem and solution to a classmate.
threshold:
pts
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pts
--
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Exercise 1: Above & Beyond
Some kind of brief, mathematical, extension to the exercise. This can be a visualization accompanied by some explanation, or a reframing or recontextualizing of the exercise. Your options are quite broad. Let me know in the margins what part of your write-up is A&B.
threshold:
pts
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pts
--
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Exercise 2: Correctness
The mathematics is correct.
threshold:
pts
|
|
pts
--
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Exercise 2: Clear, concise, complete sentences.
Good grammar, spelling, not too wordy, but has connecting narratives between calculations.
threshold:
pts
|
|
pts
--
|
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|
Exercise 2: Organized narrative, majestic plural.
There must be a clear narrative arc to the exercise. Organization is important. Avoid use of "I" use "we". Avoid gendered language.
threshold:
pts
|
|
pts
--
|
|||
|
Exercise 2: Self-contained.
The opening of the response must be a narrative statement of the exercise that naturally includes the instructions, but in a natural way that flows to the solution. It can't be a verbatim restatement of the exercise followed by a separate response. Write as if you're describing the problem and solution to a classmate.
threshold:
pts
|
|
pts
--
|
|||
|
Exercise 2: Above & Beyond
Some kind of brief, mathematical, extension to the exercise. This can be a visualization accompanied by some explanation, or a reframing or recontextualizing of the exercise. Your options are quite broad. Let me know in the margins what part of your write-up is A&B.
threshold:
pts
|
|
pts
--
|
|||
|
Exercise 3: Correctness
The mathematics is correct.
threshold:
pts
|
|
pts
--
|
|||
|
Exercise 3: Clear, concise, complete sentences.
Good grammar, spelling, not too wordy, but has connecting narratives between calculations.
threshold:
pts
|
|
pts
--
|
|||
|
Exercise 3: Organized narrative, majestic plural.
There must be a clear narrative arc to the exercise. Organization is important. Avoid use of "I" use "we". Avoid gendered language.
threshold:
pts
|
|
pts
--
|
|||
|
Exercise 3: Self-contained.
The opening of the response must be a narrative statement of the exercise that naturally includes the instructions, but in a natural way that flows to the solution. It can't be a verbatim restatement of the exercise followed by a separate response. Write as if you're describing the problem and solution to a classmate.
threshold:
pts
|
|
pts
--
|
|||
|
Exercise 3: Above & Beyond
Some kind of brief, mathematical, extension to the exercise. This can be a visualization accompanied by some explanation, or a reframing or recontextualizing of the exercise. Your options are quite broad. Let me know in the margins what part of your write-up is A&B.
threshold:
pts
|
|
pts
--
|
|||
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Total Points:
15
out of 15
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