The Math
[[http://lab46.corning-cc.edu/user/afassett/start|home page]]
{{:user:afassett:start:beautyinmath.jpg|}}
====Number Systems====
This is where basic C.S. can be applied, compared to the number system.\\
==Systems==
* //N// - Natural - 1, 2, 3, ...
* //Z// - Integers - -3, -2, -1, 0 , 1, ...
* //Q// - Rational - p/q where p and q are integers and q is not zero.
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==Special number systems===
* [[http://en.wikipedia.org/wiki/Algebraic_number|algebraic]]
* [[http://en.wikipedia.org/wiki/Complex_number|complex]]
* [[http://en.wikipedia.org/wiki/P-adic_number|p-adic]]
* [[http://en.wikipedia.org/wiki/Surreal_number|surreal]]
* [[http://en.wikipedia.org/wiki/Hyperreal_number|hyperreal]]
===References===
http://en.wikipedia.org/wiki/Number_system\\
=====Calculus 2=====
====section 1====
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====section 2====
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====section 3====
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====section 4====
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====section 5====
===part 5.1===
==Examples part A==
1.) ln((gz)/w) = (ln(g)+ln(z))-ln(w) \\
2.) ln(sqrt{a-17}) = 1/2ln(a-17) \\
3.) 1/3(5ln(x+2)+ln(x)-ln(x^2-3)) = ln(root{3}{(x(x+2)^5)/(x^2-3)}) \\
4.) lim{x right:2^+}{ln(x-2)} = -INFINITY\\
Find the derivative of the function for problems 5-11.\\
5.) f(x)=ln(2x) doubleright f prime(x)=1/x \\
6.) f(x)=8x^2ln(8x) doubleright f prime(x)=8x+16x*ln(8x) \\
7.) y=ln(xsqrt{x^2-1}) doubleright y prime =1/x+x/(x^2-1) \\
8.) f(x)=ln((6x)/(x+3)) doubleright f prime(x)=3/(x(x+3)) \\
9.) y=ln(sqrt{(x+6)/(x-6)}) doubleright y prime=-6/(x^2-36) \\
10.) y=ln(root{6}{(x-3)/(x+3)}) doubleright y prime=1/(x^2-9) \\
11.) f(x)=ln(x+sqrt{4+x^2}) doubleright f prime(x)=1/sqrt{4+x^2} \\
==Examples part B==
Consider the following\\
1.) y=7x^2-ln(x), (1,7) \\
(a) Find an equation of the tangent line to the grap of //f// at the given point.\\
y=13x-6 \\
(b) Use a graphing utility to graph the function and its tangent line at the point.\\
===part 5.2===
===part 5.3===
===part 5.4===
===part 5.5===
===part 5.6===
===part 5.7===
===Test===
{{:user:afassett:start:plugin-exam1.pdf|}}
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====section 6====
===part 6.1===
===part 6.2===
===Test===
{{:user:afassett:start:plugin-exam2.pdf|Exam 2}}
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====section 7====
====section 8====
===Test===
{{:user:afassett:start:plugin-exam3.pdf|}}
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====section 9====
===part 9.1===
===part 9.2===
===part 9.3===
===part 9.4===
===part 9.5===
===part 9.6===
===part 9.7===
==Maclaurin Polynomial==
**Theorem**\\
p_n(x)=f(0)+f'(0)x+f"(0)/2!+...+(f^n(0))/(n!)\\
Example 1.)
==Taylor polynomial==
**Theorem**\\
p_n(x)=f(c)+f'(c)(x-c)+f"(c)(x-c)^2/2!+...f^n(c)(x-c)^n/n!\\
Example 1.)
===Test===
{{:user:afassett:start:plugin-exam4.pdf|}}
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====section 10====
===Test===
{{:user:afassett:start:plugin-exam5.pdf|}}
===terminology & references===
http://en.wikipedia.org/wiki/Cycloid\\
http://www.thefreedictionary.com/prolate <- Math terms\\
http://en.wikipedia.org/wiki/Focus_%28geometry%29\\
http://en.wikipedia.org/wiki/Vertex_%28geometry%29\\
http://en.wikipedia.org/wiki/Hypocycloid\\
http://en.wikipedia.org/wiki/Witch_of_Agnesi\\
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====section 11====
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====section 12====
====Books & References====
[[http://www.amazon.com/Calculus-Single-Variable-Ron-Larson/dp/0547209983/ref=dp_ob_title_bk/184-6494487-0321267|Calculus of a Single Variable by some a major douche]]\\
[[http://www.dokuwiki.org/plugin:math2|Math syntax]] used on this page\\
[[http://wiki.erazor-zone.de/doku.php?id=wiki:projects:php:dokuwiki:plugins:gnuplot|gnuplot]]\\
[[http://www.amazon.com/Calculus-Review-Research-Education-Association/dp/0878911820/ref=sr_1_1?ie=UTF8&qid=1306716273&sr=8-1|Calculus Super Review]] by Research & Education Association\\