Hi,

On Thu, Sep 18, 2008 at 2:25 PM, William Stein <[EMAIL PROTECTED]> wrote:
>
[...]
> This will be going on the main sagemath.org webpage, and could be a
> superb way of getting
> students really interested in sage.   I wonder if somebody could
> volunteer to read through
> the tutorial and make some comments, find typos, etc.?   It's fun, not
> too long, etc.

For the "Pre-Calculus and Trigonometry Review" page at

http://sage.math.washington.edu/home/elliottd/calctut/review.html

here are some typos and suggestions:


[1] You might want to rewrite the sentence

"The foremost of prerequisites for this tutorial is a working grasp of
functions and graphs. When I refer to f(x), I refer to a function, f,
whose value may change as the value of x changes."

as follows:

"This tutorial requires a working knowledge of functions and graphs.
When we refer to f(x), we mean a function f whose value may change as
the value of x changes."


[2] You might want to rewrite the sentence

"To plot this function, now, we sketch a set of axes:"

as follows:

"To plot this function, we sketch a set of axes:"


[3] You might want to rewrite the sentence

"The function in the graph, as you can see, intersects the x- and the
y-axes at x=0 and y=0, respectively."

as follows:

"As you can see, the graph intersects the x- and the y-axes at x=0 and
y=0, respectively."


[4] For the expression

f(-4) = 2 . -4 = -8

at

http://sage.math.washington.edu/home/elliottd/calctut/pix/calctut/review02.png

you might want to put "-4" within a pair of parentheses to make the
expression readable. I mean something like this:

f(-4) = 2 . (-4) = -8


[5] For the dot points under the section "Transformations", at first
reading I find it rather difficult to distinguish the variable "a"
from a regular word "a". Within sentences, you might want to italicize
variables.


[6] Under the section "Transformations", you might want to rewrite the
following dot points:

"stretched vertically by a factor of |m|,"
---> "stretched vertically by a factor of |m|" (i.e. remove the comma
at the end)

"compressed horizontally by a factor of |n|,"
---> "compressed horizontally by a factor of |n|" (i.e. remove the
comma at the end)

"displaced horizontally to the right by a units, and"
---> "displaced horizontally to the right by a units"

"displaced vertically upward by b units."
---> "displaced vertically upward by b units"

"If m is negative, f(x) will be inverted over the y-axis, while"
---> "if m is negative, f(x) will be inverted over the y-axis"

"if n is negative, f(x) will be inverted over the x-axis."
---> "if n is negative, f(x) will be inverted over the x-axis" (i.e.
remove the period at the end)

"The sign of a and b affects the direction of the function's displacement."
---> "the sign of a and b affects the direction of the function's displacement"


[7] You might want to rewrite the sentence

"The following images from Wikipedia are a visual representation of
the trigonometric functions and the unit circle, respectively."

as

"The following images from Wikipedia are visual representations of the
trigonometric functions and the unit circle, respectively."


[8] For the sentence

"Remember that cosine theta equals adjacent over hypotenuse, sine
theta equals opposite over hypotenuse, and tangent theta equals
opposite over adjacent."

you might want to condense the trigonometric rules within that
sentence into the acronym "SOHCAHTOA". It's pronounced something like
"soccer toa", "toa" as in "boa constrictor".


[9] You might want to rewrite the snippet

"which is also equivalent to two hundred seventy degrees."

as

"which is also equivalent to two hundred and seventy degrees."


[10] You might want to rewrite the sentences

"There are some basic trigonometric identities with which you should
be familiar for this or any exploration of calculus. In approximate
order of importance, here they are:"

as

"For this or any exploration of calculus, there are some basic
trigonometric identities you should be familiar with. In approximate
order of importance, they are:"


[11] You might want to rewrite the sentence

"To refresh your memory, the graphs of the trigonometric functions
look like this:"

as

"To refresh your memory, here are some graphs of trigonometric functions:"

-- 
Regards
Minh Van Nguyen

Web: http://nguyenminh2.googlepages.com
Blog: http://mvngu.wordpress.com

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