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Exploring Calculus with Maple Introductory Calculus

Index Index

output=integral Paragraph
assignment operator Exercise Exercise Exercise Paragraph
differential equations Paragraph Paragraph
implicit function Paragraph Paragraph
asymptote Exercise Exercise
asymptote command Exercise
vertical Paragraph
average value of a function Paragraph Paragraph Exercise Exercise
collect Example
conditional statements
if/elif/else statements Section Section
if/else statements Section Section
diff!higher derivatives Exercise Exercise Exercise Paragraph Example
implicit Exercise
prime notation Exercise Exercise Section
prime notation!higher derivatives Exercise Paragraph
tutor Section
differential equations Exercise
DEplot Paragraph
DEplot!axes intervals Paragraph
DEplot!linecolour Paragraph
DEplot!solution curves Paragraph
dsolve Paragraph
dsolve!general solution Paragraph
dsolve!initial condition Paragraph
dsolve!particular solution Paragraph
hooke’s law Paragraph
rhs() Exercise
display Paragraph
help Paragraph
imaginary Exercise
implicit functions Exercise Exercise Paragraph
implicitdiff Section Example Example
implicitplot!changing axes Example
implicitplot!colour Example
implicitplot!filledregions Paragraph
implicitplot!multiple curves Example
implicitplot!multiple plots Exercise Exercise
implicitplot!plot resolution Paragraph Example
implicitplot!scaling Exercise Example
infinity Paragraph
Int!definite Section
int!definite Section Example
Int!improper Example
int!improper Example
Int!indefinite Section
int!indefinite Section
integration methods tutor Section
net change Paragraph Exercise
total area Paragraph Exercise
total change Paragraph Exercise
integral approximation
ApproximateInt!output options Paragraph Exercise Exercise Exercise Exercise Section
ApproximateInt!partition Exercise Exercise Exercise Section
isprime Example
definition of a derivative Exercise
definition of e Theorem
l’Hôpital Exercise Exercise Exercise
tutor!at infinity Example
tutor!one-sided Example
lines
horizontal tangent line Exercise Exercise
perpendicular lines Paragraph
slope of a tangent line Paragraph
slope-intercept form Exercise
tangent line!implicit function Example
while Section
mathematical functions
absolute value Exercise Paragraph Example
ceiling Paragraph
cosecant Paragraph
cotangent Paragraph
denominator Paragraph Example
exponential function Paragraph Example
factorial Paragraph
floor Paragraph
hyperbolic functions!cosh Exercise Section
hyperbolic functions!sinh Exercise Section
inverse cosecant Paragraph
inverse cosine Paragraph
inverse cotangent Paragraph
inverse hyperbolic sine Section
inverse secant Paragraph
inverse sine Paragraph
inverse tangent Paragraph Paragraph
logarithmic Paragraph
logarithmic@natural logarithmic Paragraph Paragraph Example Example Example
logistic function Example
maximum Paragraph
minimum Paragraph
multivariable functions Paragraph
numerator Paragraph
secant Paragraph
Newton’s method Paragraph
formula Paragraph
NewtonsMethod Exercise Section
NewtonsMethod!iterations Paragraph Paragraph
NewtonsMethod!output options Paragraph Paragraph
Rolle’s theorem Theorem
sequences and series Paragraph Paragraph
$ notation Paragraph
convergent Paragraph
divergent Paragraph
infinite series Paragraph
Taylor and Maclaurin series Paragraph Exercise Section
Taylor and Maclaurin series!convert to polynomial Exercise Example
Taylor and Maclaurin series!formula Paragraph
shapes of curves
closed interval method Example Example
inflection point Subsection Exercise Exercise
minimum Exercise Example
solving equations
fsolve!interval Example
intersection points Example
removing RootOf() Exercise Exercise Exercise
volume of revolution Exercise Exercise
tutor Section
VolumeOfRevolution Exercise
VolumeOfRevolution!output options Exercise