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GILBERT STRANG: Hi.

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I'm Gilbert Strang.

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I'm a math professor at MIT.

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CLEVE MOLER: And
I'm Cleve Moler.

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I'm one of the
founders of MathWorks,

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and I'm chief mathematician.

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Gil and I have
made a video series

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about ordinary
differential equations.

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GILBERT STRANG: This
developed really

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from my experience of
the linear algebra class.

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It's videotaped and
shown on OpenCourseWare.

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And it was my first
time to discover

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that millions of people
were learning, watching it.

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And it just seemed
possible to tackle

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the other major undergraduate
courses after calculus.

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The other lead in to
engineering and science.

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Differential equations with
the two sides of the formulas

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and the computations.

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CLEVE MOLER: This is not only
for students that are currently

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in school, after calculus.

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But it's also for
lifelong learners.

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People who want to come
back to this material,

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maybe after years out of school.

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We want to help people who
are using MATLAB to solve

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differential equations.

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To understand the
MATLAB ODE suite.

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To turn the black
boxes into grey boxes,

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where you have
some understanding

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of the mathematics
that underlies them.

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GILBERT STRANG: Really,
differential equations

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is the expression, the
mathematical expression

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of change.

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So engineering, finance,
economics, life sciences,

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medical sciences where you're
seeing things change over time.

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Those are modeled by
differential equations.

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So we want to understand
what does solutions

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look like for formulas?

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And what do they look
like for numbers?

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For actual quantities.

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CLEVE MOLER: Gil and
I are matrix guys.

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Our professional lives have
been involved with matrices.

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And MATLAB started life
as Matrix Laboratory.

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Here we are doing
differential equations.

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Why is that?

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That's because matrices are
fundamental in understanding

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modern differential equations.

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Systems of ordinary
differential equations

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are the key to understanding
modern applications

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of differential equations.

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GILBERT STRANG: We
hope you enjoy it.