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Welcome to Physics 101 Unit zero. This unit will
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be all about math review, not just for this
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physics course, but also for physics 102 and physics
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, one of three thes are calculus based courses.
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So we will review a little bit of calculus here
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. Additionally, for any of you who might be
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coming back to physics after a few years of not
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having done much math, I will be going over
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other topics, like some basic algebra and trigonometry plotting
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all that sort of thing. Um, you can
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use this unit as an appendix so that when you
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counter those different topics and you may struggle with them
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in this course, you can refer back to this
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unit and watch the video that might help you.
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Um, if you need a little bit more in
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depth of an introduction, though, you might consider
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going to the math courses here on the numerator website
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. Uh, starting out, we're gonna review some
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topics in algebra. We're talk about functions and how
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they're used in variables. We'll talk about plotting functions
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, inverse operations, algebraic properties, all the tools
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that you will need in order to succeed in this
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physics course. Next we'll talk about trigonometry. We
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talked about trigonometry because there are a lot of right
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triangles that show up, especially in physics. 101
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So we're going to review how to use those things
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, how all the different parts of the triangle are
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related to each other, then also had to use
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trig and metric functions, their plots, how to
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solve equations with trig and metric functions. And then
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, uh, all of that will be covered in
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a section. Later on, we'll talk about different
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coordinate systems. You may be familiar with the standard
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X, Y or Cartesian coordinate system. We're also
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gonna talk about polar coordinates and spherical polar coordinates and
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cylindrical polar coordinates. All those things will show up
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here. Uh, some of those that I mentioned
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there don't don't let them intimidate you. They don't
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show up very often, but if we know what
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they are, they could be really useful for solving
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problems, especially when we get into physics. One
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or two. Um, we'll talk about dimensional analysis
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, which is essentially tracking what every variable is measuring
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. So when we measure a distance, it's major
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meters. When a measure of time, it's measured
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in seconds or minutes or hours and making sure that
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when we combine all these things in our equations that
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we're doing it properly. Dimensional analysis is somewhere that
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something that's really easy to do and to track.
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But if you don't do it, you can make
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a lot of mistakes. And I see a lot
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of students do that. We'll also talk about uncertainty
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in measurements and how to handle that. Now.
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Different classes have different ways of handling uncertainty. I
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will review one very simple way and then aim or
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complex way that I prefer to use. Uh,
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make sure that you pay attention to what it is
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your teacher wants you to do. They may pick
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one or the other of these two methods or have
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a third technique that they prefer that you use.
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So make sure you pay close attention when they talk
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about how to handle uncertainty. Uh, next we'll
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talk about exponential is and log rhythms. Uh,
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there's a lot of properties remember with these types of
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functions, they don't show up a lot in physics
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101 but they have the potential to really throw people
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for a loop. So I'm going to review those
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briefly and then calculus. We're going to talk about
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that. Products, cross products, derivatives, Integral
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. Um, there are some more complicated pieces to
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calculus, things like differential equations or multi variable calculus
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, where those definitely show up in later physics courses
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, and we will get a brief taste of them
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in introductory. Siri's eso. What I will do
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is when we come upon those issues in different concepts
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, I will address them at that time because trying
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to give a general treatment of them here would just
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take too much time and not give us a lot
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of bang for our buck. So I will talk
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about differential equations. I will talk about things like
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Path and the Girls and surface and the girls,
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but I'm going to do them at the time that
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there needed, because usually in physics is an introductory
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physics. You only have one or two examples of
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a differential equation, and all you have to know
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is how to solve that particular differential equation or two
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same thing for path and the girls and surface in
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the girls. So don't worry too much about those
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will cover them when we get to them.