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PROFESSOR: Hi, I'm Gilbert
Strang, and I'm a math

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professor at MIT.

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And I hope these highlights of
calculus will be helpful.

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I started the project this
year, because the linear

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algebra lectures which were in
class have been watched by a

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lot of people on
OpenCourseWare.

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And so I looked at what there
was for calculus.

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And I saw two or three
types of things.

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One was lectures, sort of
very serious, too mathy.

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And another was supported by
foundations, an effort to make

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math look so terrifically
exciting and wonderful and

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connect with everything.

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And yet, I feel a lot of
people are taking math

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courses, calculus, in high
school, in college, and simply

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want a little help to see
what's the main point.

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And maybe that's the idea of
these lectures, is to try to

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tell you the main point without
all the heavy things

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that a giant textbook would
do, and without all the

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practice that you'll get
in class, and doing

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exercises and so on.

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So these are kind of short,
but I hope alive.

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And if they help,
I'm very happy.

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So I guess I'm hoping everybody
might watch this

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who'd like a little help or a
second look at calculus, both

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high school and college
students.

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I wanted to capture key ideas
that you could use for review

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and see new examples
and see just coming

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from a second person.

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That seems to be what succeeds
with linear algebra.

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The videos are sort of just to
add, to supplement what you're

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actually seeing in class
and in the textbook.

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I think of the textbooks as
often so large and so many

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exercises that it's totally easy
to lose the key point,

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what's essential about calculus
and what is just kind

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of routine and practice.

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So in short videos, it has to
be the essential points, the

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three groups of functions, like
powers of x, sine and

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cosine of x, and e to the x.

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If you understand those, you've
got the main ideas.

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We're starting out with a first
group of five videos.

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Maybe big picture is the words
that we think of for those.

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And then that'll be the first
group that'll be on

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OpenCourseWare.

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And then I've done 12 after
that, that do sort of the rest

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of differential calculus, big
words just meaning how to find

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the derivative, the
slope, the speed.

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You'll see in the videos.

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And then after that could come
integral calculus, if you

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think I should.

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I don't think of a lot of

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prerequisites for these videos.

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I guess I'm always hopeful that
you could watch them even

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if you haven't started calculus,
to see what's

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coming, what it's about.

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I've taught math for a long
time, and it's so easy to get

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into the course and jump over
the opening, the introduction

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that tells what's
important here.

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And that's maybe what these
videos are aimed at.

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FEMALE SPEAKER: This has been
a production of MIT

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OpenCourseWare and
Gilbert Strang.

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Funding for this video was
provided by the Lord

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Foundation.

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To help OCW continue to provide
free and open access

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to MIT courses, please
make a donation at

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ocw.mit.edu/donate.