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JULIANA BELDING: If you already know
some calculus or are learning it now,
you may be curious, what does it
look like outside the math classroom?
In this course, we leave
behind the textbook
to visit with people in
diverse fields, to see
how they use calculus to answer
questions, make models, and better
understand the world around us.
"Mathematics compares the
most diverse phenomena
and discovers the secret
analogies that unite them."
Calculus is full of these analogies--
the idea of rates of
change, the derivative,
the idea of accumulation, the integral,
and the idea of approximation.
These are everywhere.
SPEAKER 1: If I were to
change this temperature, if I
were to sort of turn up
the dial and see what
happens as the temperature increases,
how might that affect an ecosystem?
How might it affect the population?
How might it affect all
sorts of different things
all over the course of the planet?
SPEAKER 2: One of the
biggest reasons we use
continuous models is
so we can use calculus,
because calculus is so important
to the underpinnings of some
of the key principles in economics.
SPEAKER 3: When you see
an X-ray image, you're
basically seeing a map
of [? p. ?] It would
be better if we could
have a map of mu, so we
would have a map of the attenuation
at every single point in the body.
SPEAKER 4: For us, the
goal is to try to see
how we can obtain this formula
from this more complicated formula.
The concepts that you can
study in pure mathematics,
without any interest in physics.
JULIANA BELDING: With our many years
of experience teaching calculus,
Peter Garfield and I
will be your guides.
You'll apply and refresh concepts
and tools that you've learned
or are learning now in
single variable calculus.
By the end of the course, you'll
understand some of the diverse ways
that calculus is applied
every day, and we
hope you'll feel more comfortable
making sense of mathematical models,
harnessing the powerful
language and tools that calculus
offers to analyze the world around us.
We invite you to join
us for Calculus Applied!
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