# Math Help - The Mega Cheat Sheet Project

1. ## The Mega Cheat Sheet Project

Hi there,

I'm in the midst of compiling a non-exhaustive list of mathematical formulas, statistical tables and commonly used constants. In the not so distant future, i hope to publish it. As a student myself, I often find myself having to refer back and forth my texts to retreive formulas and constants. Despite my maths lecturer's advice to derive them from other known formulas(as in trigo), it is far more expeditious to complete tutorials and assignments with a handy cheatsheat.

The target audience for the booklet is for students in science/engineering. It is intended for use in secondary to higher education. While every attempt has been made to verify the correctness of the formulas, there might be discrepancies with the formulas etc..

And so i welcome any comments from the layout to the formulas! For the benefit of mankind!

Version: Beta 1.3
Updated as of 23th Sep 09.

* Eqn(15.4.1) - Changed formula to reflect General Formula for Mechanical Work Done
* Water Marking Reduced
* High Res Printing Allowed
* Enabled text access for screen reader devices for visually impaired

2. I like the guide a lot, two suggestions if I may though

1) A table of SI prefixes would be nice, nano - giga is simply enough but for atomic radii as an example it may help to know fm and pm.

2) It would be nice to be able to copy and paste from your guide, especially for the value of constants but this is not possible (at least on my pc) because of DRM

3. Originally Posted by e^(i*pi)
I like the guide a lot, two suggestions if I may though

1) A table of SI prefixes would be nice, nano - giga is simply enough but for atomic radii as an example it may help to know fm and pm.

2) It would be nice to be able to copy and paste from your guide, especially for the value of constants but this is not possible (at least on my pc) because of DRM

1) good idea pi, a table of SI prefixes will definitely be very useful to the americans
2) DRM removed, printing and copying allowed, hope that helps

4. Page 13 out of 32.
Part 9.2, shouldn't be $|J|$ instead of $J$?
In the double integral I mean.

5. Originally Posted by arbolis
Page 13 out of 32.
Part 9.2, shouldn't be $|J|$ instead of $J$?
In the double integral I mean.

The J was suppose to denote the Jacobian Determinant. But I reckon the single J without the modulus brackets could be misread as the Jacobian matrix. Thanks arbolis, i'll revise with notations to indicate the below.

$|J|=\frac {\partial (x,y)} {\partial (r,s)} =
\begin{array}{cc}
\frac{\partial x}{\partial r} & \frac{\partial x}{\partial s} \\
\frac{\partial y}{\partial r} & \frac{\partial y}{\partial s}
\end{array}
$
, where $|J|$ is the Jacobian Determinant.

6. Originally Posted by dexterkyy
Hi there,

I'm in the midst of compiling a non-exhaustive list of mathematical formulas, statistical tables and commonly used constants. In the not so distant future, i hope to publish it. As a student myself, I often find myself having to refer back and forth my texts to retreive formulas and constants. Despite my maths lecturer's advice to derive them from other known formulas(as in trigo), it is far more expeditious to complete tutorials and assignments with a handy cheatsheat.

The target audience for the booklet is for students in science/engineering. It is intended for use in secondary to higher education. While every attempt has been made to verify the correctness of the formulas, there might be discrepancies with the formulas etc..

And so i welcome any comments from the layout to the formulas! For the benefit of mankind!

Version: Beta 1.2a
Updated as of 13th Sep 09.

* Eqn(9.2.1) - Added notation for Jacobian Determinant
* Eqn(8.4.2) - Addded Leibnitz’s form for Chain Rule
* Low Res printing allowed

The idea has been done before, I have at least two (possibly three) handbooks with this material. The only new thing that I see here so far is the z-transform material.

(I would suggest a different title may be advisable)

CB

7. thanks captain well I first started compiling mine initially for easier reference and it just grew, so im hoping to share this with those who needs a mega cheat sheet. Are u referring to the title of the booklet or z-transform?

8. Originally Posted by dexterkyy
it is far more expeditious to complete tutorials and assignments with a handy cheatsheat.
I prefer to call them "instant reference sheet" or "permanent memory-aid sheet"

9. Page 26 - I'm pretty sure there is no integral to find anything called "Word Done". I am willing to be proved wrong though.

10. Originally Posted by Swlabr
Page 26 - I'm pretty sure there is no integral to find anything called "Word Done". I am willing to be proved wrong though.

Thanks for pointing this out, Sect 15.4 should read as "Work Done"

11. Originally Posted by dexterkyy
Hi there,

I'm in the midst of compiling a non-exhaustive list of mathematical formulas, statistical tables and commonly used constants. In the not so distant future, i hope to publish it. As a student myself, I often find myself having to refer back and forth my texts to retreive formulas and constants. Despite my maths lecturer's advice to derive them from other known formulas(as in trigo), it is far more expeditious to complete tutorials and assignments with a handy cheatsheat.

The target audience for the booklet is for students in science/engineering. It is intended for use in secondary to higher education. While every attempt has been made to verify the correctness of the formulas, there might be discrepancies with the formulas etc..

And so i welcome any comments from the layout to the formulas! For the benefit of mankind!

Version: Beta 1.3
Updated as of 23th Sep 09.

* Eqn(15.4.1) - Changed formula to reflect General Formula for Mechanical Work Done
* Water Marking Reduced
* High Res Printing Allowed
* Enabled text access for screen reader devices for visually impaired

where can i get a copy of the finished cheat sheet??

12. (17.1.2) on the last page should be $x+1=\overline{x}$.

I don't know if you will be able to publish it, but I don't understand why you are so restrictive of it.

5.3.2 font on the "f" of "if" should be normal rather than slant/italic.

6.2.1 to 6.2.6 font of functions should not be slant/italic, prefix function names with "\" or use "text{ .. }" to ger normal font.

Generally use brackets around the arguments of functions (even the trig functions)

13.1 Iteration is not a good title for this section

13.6 Page break in inappropriate position

13.7.3 Heun's method has more common names than listed

13.7.4 Page break in inappropriate position

14.41 to 14.42 spacing

Page 27, 29, .. the tables of distributions needs titles

CB

14. There are refrence cards available at most university book stores. They're usualy restricted to one particular topic, and, usualy, to only one particular course in that topic. For instance, there is a logic card that only convers basic defnitions, truth tabels, and the like. There is a calculus 1 card that only has the definitions, and the computations of various derivitives

15. Originally Posted by Chris11
There are refrence cards available at most university book stores. They're usualy restricted to one particular topic, and, usualy, to only one particular course in that topic. For instance, there is a logic card that only convers basic defnitions, truth tabels, and the like. There is a calculus 1 card that only has the definitions, and the computations of various derivitives
And does that mean that the Scham Mathematical Handbook and its like do not exist?

CB

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