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Calculus 1 Lecture 0.2: Introduction to Functions.

1.4M views · May 23, 2012 · Education

Comments · 985

  • @muhammedajas5479 · 1 year ago

    Henry cavil teaching calculus

    612

  • @kanikamanagoli-r8h · 3 months ago

    and suddenly I am interested in math

    93

  • @VedanshSrivastava-zi2es · 2 years ago

    <a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=2">00:02</a> Introduction to functions in calculus<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=170">02:50</a> A function assigns each input to a unique output.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=420">07:00</a> Understanding functions and notation for input and output<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=553">09:13</a> Understanding functions and their notation<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=874">14:34</a> Determining if a given equation is a function.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=1000">16:40</a> Introduction to peace wise functions in calculus.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=1281">21:21</a> Functions can be defined with a piece-wise definition.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=1438">23:58</a> Graphing piecewise functions involves graphing each piece individually within the given range.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=1727">28:47</a> Understanding piecewise functions and graphing them.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=1848">30:48</a> Graphing functions involves understanding various shapes such as circles.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=2077">34:37</a> Understanding domain and range in functions<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=2232">37:12</a> Functions in real life have restrictions to ensure practicality.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=2507">41:47</a> Understanding the domain of a function.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=2627">43:47</a> Identify problem numbers for domain restrictions<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=2905">48:25</a> Understanding the positivity constraint of radicals.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=3005">50:05</a> Finding ranges for roots based on inequality<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=3229">53:49</a> Testing points in a quadratic function to determine positivity<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=3331">55:31</a> Understanding the domain of a function and its implications.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=3559">59:19</a> Understanding domain issues with denominators<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=3693">1:01:33</a> Simplification maintains original domain.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=3972">1:06:12</a> Understanding and removing discontinuities in functions<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=4103">1:08:23</a> Vertical ASM toote occurs when a number is divided by zero.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=4363">1:12:43</a> Introduction to functions and finding range<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=4479">1:14:39</a> Introduction to domain and range in calculus<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=4750">1:19:10</a> Finding domain leads to range discovery<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=4862">1:21:02</a> Creating cardboard boxes by cutting and folding a piece of cardboard.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=5159">1:25:59</a> Calculating volume of a rectangular prism using dimensions<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=5273">1:27:53</a> X has to be greater than zero for sure.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=5505">1:31:45</a> Even functions are symmetric about the y-axis, odd functions are symmetric about the origin.<br><a href="https://www.youtube.com/watch?v=1EGFSefe5II&amp;t=5654">1:34:14</a> Identifying even and odd functions

    174

  • @mnonymous8694 · 6 years ago

    Am I the only one binge watching Professor Leonard instead of Netflix?

    1K

  • @bikerzfault · 2 years ago

    I can&apos;t believe that me a Gen Z, Tiktok ADHD kid, sat through this entire lecture and didn&apos;t get bored even for a minute.<br>Kudos professor God bless you!

    351

  • @Qk_Lab · 3 months ago

    DAY 2 OF LEARNING CALCULUS, COME ON BABY !!!

    31

  • @what-does-economics-say · 6 years ago

    This guy makes me fall in love with maths

    39

  • @ParadigmFluxEmporium · 11 years ago

    &quot;If you cant see it don&apos;t raise your hand.&quot;<br>Brilliant technique.<br>Im gonna steal that.

    463

  • @lyricallizard7817 · 9 years ago

    Professor Leonard &amp; PatrickJMT makes a dream team

    71

  • @andreaandal43 · 10 years ago

    Thank you! I got a &quot;D&quot; on my midterm exam and then I &nbsp;discovered you. &nbsp;I&apos;m finishing the course with an A! Thank you so much!

    636

  • @leonidaspitenis5499 · 2 years ago

    I am doing calculus for a hobby and i can say that out of all the people teaching calculus on yt you are the best ! Keep up the good work !!

    168

  • @follklor9976 · 10 years ago

    first of all i have to say you are most and best teacher i ve ever seen in my life<br>every teachers around world should learn to tech like you<br>for solve big problem you have to start from simple concept and then you can solve anything you want <br>i am computer science student from italy <br>thankss a lottttttt

    18

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