--- /dev/null
+# Chemical Analysis
+
+_Salt - ionic compound formed by acid/base reaction_
+
+## Analysis methods
+
+**Quantitative** - measuring values
+**Qualitative** - measuring categories or simple observation of characteristics
+
+### Electrical conductivity
+
+- quick and inexpensive
+- ionic salts are conductive
+- measures combined levels of dissolved salts
+- measured in EC units
+
+### Colorimetry
+
+- e.g. universal indicator (pH), or chlorine analysis
+- colour levels are compared with standards
+- colour can be natural or caused by reaction with an added chemical (dye)
+- instrumental colorimeter - compares subject with samples of known coloration
+- **complment** of a colour is the colour left after original colour is removed from white light (inverse)
+
+
+
+### Gravimetric analysis
+
+- precipitates are collected and dried
+-
+
+## Stoichiometry
+
+- analysis of ratios
+- calculations based on chemical equations
+- can predict relative amount of substances involved in chemical reactions
+- chemical equations do not indicate rate or extent of a reaction
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--- /dev/null
+# _Gattaca_ and _Stasiland_ quotes
+
+### Character list
+
+**Miriam** - married to Charlie. Tortured, escaped and rebelled as teenager.
+**Julia** - Anna's roommate. Raped & imprisoned.
+**Charlie** - dead husband of Miriam
+**Hagen Koch** - wall cartographer. rebels against regime because Stasi attempted to end marriage.
+**Herr Bohnsack** - former Stasi informant
+**Klaus** - singer
+**Frau Paul** - mother of Torsten who was taken away from her
+**Herr Boch** - former Stasi professor, recruits informants
+
+## Oppression & discrimination
+
+[g] "never suffered from the discrimination of a 'utero'"
+[g] society looks "so hard for any flaw that after a while that's all you see"
+[g] "I'll never understand what possessed my mother to put her faith in God's hands"
+[g] "I was never meant for this world"
+[g] "everything he needed to get into Gattaca.. except the will to do so"
+[s] "we are here to inform you today, that you don't exist any more" - re Miriam
+[s] "in this country, any kind of printing is forbidden" - Koch
+[s] "there is not unemployment in the GDR" - employment officer to Julia
+[s] "I inhabit the grey end of the spectrum" - Miriam
+[s] "a choreography of very nasty scouts" re. Stasi informants
+[g] "I lent you my body, you lent me your dream"
+
+## Rebellion
+
+[s] "instead of shooting cardboard figures we'd have to shoot our own peope" - Herr Bohnsack
+[s] "I thought it was something we had to do because they were robbing us blind" - Koch, p.170
+[s] "by 1961, about 2000 people were leaving the East each day"
+[s] "if there's no way aroundn it, we just have to crash through somehow"
+[s] "I have to leave here forever - I have to leave my family, and I will not see my sisters again, and I have to go to the West"
+[s] "I have always had an acute sense of duty to obey the law" - Koch
+
+## Suffering
+
+[s] "they break you.. just like fiction" - Miriam
+[s] "I will do whatever you ask... but that plate stays there" - Koch
+[s] "I went to see him that time, and of course I wanted more" - Frau Paul, re Torsten
+[s] "she told himt o go to hell and found a smallish funeral establishment" - Miriam
+[s] "they really made sure that I didn't sleep" - Miriam
+[s] "I was basically no longer human" - Miriam
+[s] "I think I am definitely psychologically damaged" - Miriam
+[g] "a child conceinved in love has a better chance of happiness"
+[g] "I'd need an awful lot more than a drop if I was going to get anywhere" - Vincent re blood brothers
Tangent to a curve at a point - has same slope as graph at this point.
Values for $\Delta$ are always approximations.
-Secant - line passing through two points on a curve
+Secant - line passing through two points on a curve
Chord - line segment joining two points on a curve
Instantaneous rate of change is estimated by using two given points on each side of the concerned point. Evaluate as in average rate of change.
## Position and velocity
-Position - location relative to a reference point
-
-Average velocity - average rate of change in position over time
-
+Position - location relative to a reference point
+Average velocity - average rate of change in position over time
Instantaneous velocity - calculated the same way as averge $\Delta$
## Derivatives
If $f(x)=(x-b)^2, \quad f^\prime(x)=2(x-b)$
$$f^\prime(x)=\lim_{h \rightarrow 0}{{f(x+h)-f(x)} \over h}$$
-$$=\lim_{h \rightarrow 0}
## Euler's number as a limit
$$\lim_{h \rightarrow 0} {{e^h-1} \over h}=1$$
+
+## Chain rule
+
+Leibniz notation:
+
+$${dy \over dx} = {dy \over du} \times {du \over dx}$$
+
+Function notation:
+
+$$(f\circ g)^\prime(x)=f^\prime(g(x))g^\prime(x),\quad \mathbb{where}\hspace{0.3em} (f\circ g)(x)=f(g(x))$$
+
+Used with only one expression.
+
+e.g. $y=(x^2+5)^7$ - Cannot reasonably expand
+Let $u-x^2+5$ (inner expression)
+${du \over dx} = 2x$
+$y=u^7$
+${dy \over du} = 7u^6$
+
+
+$7u^6 \times$
+
