Mathematical appendix
A review of the math needed for this part of the course
Algebra:
How to solve a linear equation
How to read slope and intercept from a graph
slope = (y2-y1)/(x2-x1)
intercept = (y1x2-y2x1)/(x2-x1)
reading from the graph is easier
Exponentials and logarithms
1
ln ln
ln ln ln
ln ln ln
a
a
ab ab
a
ab
b
a
e
e
ee e
ee
e
ab b
ab a b
aab
b
−
+
−
=
=
=
=
=+
=−
Calculus:
How to differentiate some simple functions
2
2
2
()
()2
()
chain rule
dy
dt
()
ax ax
dax a
dx
dax ax
dx
da a
dx x x
deae
dx
dy dx
dx dt
ddhdg
gh g h
dx dx dx
dg dh
hg
dg dx dx
dx h h
=
=
=−
=
=
=+
−
=
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