in depth complete analysis of the sections: functions and notation, unit conversions, basic principles of equations, graphs and functions, vector concepts and notation, vector components in 2D with examples, explanations and quick tricks
, FUNCTIONS S NOTATION
Terms parts of a function that are added or subtracted
factors:any parts of a function thata re multiplied or divided (as division by as is the same as multiplication by si
coefficients:constants numbers which variable is
or
by a multiplied
independent:the manipulated variable that doesn't depend on the outcome of the experiment, iti s the variable chosen by the experimenter
and
is plotted on the x-axis
dependentthe measurable outcome of the experiment and depends on the independent variable, itis plotted on the
y-axis
v(t) bt
=
a
-
eg.
The firstt h e second
This tells us that term is a termis.bt v
= =
a
-
bt SUBSCRIPTS used to distinguish symbols
↓ ↓
bt<- ifIneed
is the dependent
UCE) a The second term consists
symbols for4 moments in time Icould
-
~ =
M
variable and the constant -
is o f factors b SE label the line with symbols to, t, t and ES
independentvariable the coefficient of ifIwant to
distinguish the initial and final
energy
v(t) means v is a variablet
t he negative sign is
part of the of an object, E;and Ef
function of coefficient and constant of the term
MULTIPLICATION
(b)(t) means that by are
multiplied (you can use orbrackets to indicate multiplications
·For symbols simply write ab for a multiplied by b
a bracket is written:a (b + c) ab
symbol multiplied into a ac
+
DIVISION
ab b az (a)(5) ab"
=
= =
=
all mean "a divided by b"
Abracket divided by a
symbol can be written in different ways.(D +2) a
=
f (*)=
EXPONENTS 2 times
↑ =aaaaaa
a a is multiplied with itself a times
~
=a raised
a to the power of n
a is called the base (may have units)
is called the exponent (never has units)
·
as,a',a' ... are called powers of a
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