 # Calculus for Biological Scientists

## IndexIndex

$$e$$ (number)
acceleration, Item
antiderivative
$$u$$-substitution
reverse exponential rule
reverse power rule
reverse trig rules
asymptote
horizontal
vertical
average rate of change
difference quotient
average value of a function
chain rule
cob-webbing
algorithm
composition
concave down
concave up
concavity
continuous-time dynamical system
conversion factor
critical number
critical point
critical value
decreasing
definite integral
constant multiple rule
definition
sum rule
derivative
constant function
constant multiple rule
cosine
definition
exponential function
inverse
logarithm
power function
sine
sum rule
derivative function
desmos, Item
difference equation
differentiable, Item
differential equation
autonomous
first-order
pure-time
second-order
solution
general
specific
dimension
discrete-time dynamical system
competing species model
equilibrium point
initial value
solution function
the logistic map
the lung model
updating function
linear
non-linear
updating function rule
displacement
domain
dominates
doubling time
DTDS. See discrete-time dynamical system
equilibrium point
half-stable
stable
unstable
Euler’s Method
error
explicit function, Item
exponential equation
exponential function
base
doubling time
exponential decay
exponential growth
half life
extreme value
extreme value theorem
first derivative test
FTC
function
composition
difference
explicit, Item
invertible
linear
power function
product
quotient
recursive, Item
sum
transformations
function transformations
function-derivative pair
fundamental relation
fundamental theorem of calculus
half life
increasing
indefinite integral
constant multiple rule
sum rule
indeterminate form
infinity
inflection point
initial value problem
input
instantaneous rate of change
instantaneous velocity
integral sign
integrand
inverse function
at $$-\infty$$
at $$\infty$$
left limit
limit
at infinity
definition
one-sided
limits of integration
linear approximation
center
linear equation
solution
linear function
point-slope form
slope-intercept form
local linearization. See linear approximation
logarithmic function
base
common logarithm
natural logarithm
logistic discrete-time dynamical system
L’Hôpital’s rule
at infinity
marginal value theorem, Fact
mathematical model
maximum
absolute
global
local
relative
minimum
absolute
global
local
relative
net signed area
notation, Item
oscillation
criteria
output
parameter
population proportion
power function
product rule
proportional
proportionality constant
quotient rule
range
recursive function, Item
Riemann sum
left
middle
right
right limit
secant line
second derivative
second derivative test
sigma notation
single critical point theorem, Fact
stability theorem
surge functions
tangent line
equation
tangent line approximation. See linear approximation
total change theorem
trigonometric functions
amplitude
average
cosine
period
phase shift
sine
tangent
unit
unit circle
variable
dependent
independent
vertical line test, Item
weighted average