Lec 2 | MIT 18.01 Single Variable Calculus, Fall 2007

Limits, continuity Trigonometric limits View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
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21 Replies to “Lec 2 | MIT 18.01 Single Variable Calculus, Fall 2007”

  1. People may be confused with the proof at the end because the algebra trick incorporates the idea that the limit of the difference quotient excludes the point x=x0, but the (x-x0) factor does allow x=x0, which is why (x-x0)=0. I’m sure it feels to some people as if you’re saying that x doesn’t equal x0, and yet it does! In their minds that’s a contradiction.

  2. I don’t know, man. I’ll let you know when I’m 18 if I’m smart enough. I look forward to validating my life via institutionalized academics with you soon.

  3. This is just an introductory course to make sure everyone has the exact same foundation for more difficult courses later on. Keep in mind that this is also known as Calculus I and every university, from the smallest to biggest, teaches the same basics as everyone else.

  4. type “html5” after youtube in the address bard and then click the button next to the html5 trial (it’ll be by the bottom of the screen). It makes most of the videos have the option of playing at 1.5 or 2 times the speed. 😀

  5. at 17:10 answer: y = -1/2g(t*t) + v(start)t + y(start) [equation for a free falling body] the body is at 80 feet and gravity(g) = 10 and v(start) = 0 hence y= -5(t*t) + 80

  6. The point of learning this in high school is to get a early start. Calculus in high school is not the same as calculus in college (as I learned the hard way). The work is harder, workload is harder, tests are 10x harder. Teacher doesn’t spend a whole lot of time on things you don’t understand. Don’t understand it? Go back to your room and read. You learn some of this in high school so you won’t get a F in college.

  7. Guys i am 18 years old and i am learning some of that stuff at school right now… I am sure that they learn more advanced things there but it’s alitle strange :/ Shouldn’t all that be supposed to be known??

  8. Haha! That was me too! I was a Linguistics major and then I realized that with only 8 more math credits I’d have a double major in Math and Linguistics! Haha! At least I’m not the only one out there!

  9. That’s all I remember from Calc 1, the derivative of x^2 = 2x lol. Of course, that was the “shortcut,” but we had to do it with all the dy/dx notation. I remember that I loved doing quotient derivatives for fun. What’s wrong with me? Linguistics major BTW.

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