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So we get to now learn about one of the
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coolest areas in all of science, and that is
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calculus. And you may say, Well, why
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haven't I learned about this before now? And that's
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a great question. And the reason is quite simple
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, because calculus, even though a lot of the
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concepts are very simple and easy to grasp, the
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actual process of solving problems is very difficult. And
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I'll say this again. But I'm going to write
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it for you now because I believe it is very
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important to hold on to, and that's this.
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The hardest part I have Calculus is not calculus but
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algebra. So you have spent most of your life
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learning algebra. You learned a little bit of arithmetic
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. Growing up, he learned some algebra, and
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now you are ready to basically take everything that you
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have learned from algebra, put it together and actually
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do something with it. To start answering the question
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. What is the point of learning all of this
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? So before we jump into the calculus itself,
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we're going to spend some time reviewing algebra or reviewing
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topics from pre calculus. And so some of these
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ideas are pretty simple. Some of them are a
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little bit more difficult, but we really do need
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to pull from everything. So we're gonna talk about
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things like functions. We're gonna talk about things eso
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specific types of functions. So trig and metric functions
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. That's always a fun one. What else are
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we going to talk about? We're going to talk
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about polynomial functions. We're gonna talk about exponential functions
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because all of these functions are going thio going to
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play a big part when we start trying to model
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the real world and using calculus too break down and
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understand and analyze the functions that we're using toe model
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, the real world. So it's very important that
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we have a grasp and and the more time that
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you spend thinking about functions thinking about the subtleties of
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functions, thinking about, you know, how are
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the trig and metric functions really defined? Where they
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coming from naturally, how? How, how the
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polynomial show up in nature, What is it about
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exponential functions that make them so important? The more
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you start to grapple with those questions, the more
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you're really going to appreciate the beauty and subtlety that
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is calculus