Parametric Equations

Since we just covered polar equations, let's go over one other way we can graph functions. Parametric equations are actually a set of equations whereby two variables like x and y both depend on the same variable, usually time, and therefore each rectangular coordinate is determined by its own separate equation. We see this a lot with projectile motion in physics, and other such applications, so let's make sure we have the basics down.
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[@dmc8129]

Thank you science Jesus, you're a lifesaver

[@SaimKhan-xj5um]

you are such a great teacher Dave,I owe you at least 100 subscribers ;D

[@sweatydood5118]

He's finally about to get to what i hope is vector calculus. Im literally dying in my classes rn D:

[@erwinleo7337]

It is been four years since you posted this comment. How is your studies? did you finish the calculus course because I am in the same shoes of yours now. I'm literally gasping of air in my cal classes.

[@Gab-ok1mr]

vector calculus BatChest

[@NewWesternFront]

@@erwinleo7337 you surviving?

[@ivoryas1696]

​@@Gab-ok1mr Bruh _wut?_

[@ivoryas1696]

​@@erwinleo7337 Same question here, tbh.

[@ritardstrength5169]

Thank you, much clearer than my textbook

[@chandinireddi]

Super explanation sir Thank you sir

[@aadilnabiwani2878]

Nicely done , but would you make a video on why we need parametric equations or what made us to think of parametric equations , why these ??

[@ProfessorDaveExplains]

that is explained in this clip.

[@OkSid300]

I think a little recap is in order… Before entering the advanced stuff.

[@manismanai2276]

thanks..

[@rafi-sl4yq]

Thanks man

[@drealslimshady]

love u

[@debbiekalima4541]

thanks loot

[@aveinmovil]

All is ok but what that face at the end of the intro means? you go forward really happy and then something happen, what was it?

[@NewWesternFront]

fart

[@namphan9317]

thank you jesus you save my life

[@somerandomduckiguess2781]

You have literally saved my life. You explained it so simply. I could hardly understand the way my teacher taught it. Thank you.

[@chupbey7814]

Listen to the intro song in 1.5× you'll love it !

[@chupbey7814]

Yeah somewhat 😂😂

[@prasoonpandey1184]

Thank you for the simple explanation. It was really easy to underatand.

[@HellooDae]

I am again, expressing my gratitude towards your reletntless efforts into educating, what I assume is mostly young teens, but even I - a whole 22 year adult who failed at math in high school and somehow doing computer science nowadays - without your videos, I wouldn't be anywhere near the (pretty humble) level I am now at mathematics. I am very grateful. Thank you.

[@zerodegreescelsius]

Thank you! This is the best explanation of parameterisation I've ever come across!

[@indiecowan33]

thank u adam driver

[@wanx891]

I dont understand why I'm paying my tuition for a world top 30 school for. Thank you by the way;)

[@tituskariuki4254]

Which school is that?

[@SamStarrs]

Uhhh weird flex

[@a-google-user07]

thanks prof , this was so easy and great

[@SackbotNinja03]

I was always confused, but now I understand that they are two separate functions they aren’t so complicated anymore

[@あい-ueo]

I learned this in japan when I was 13 years old... I was right not attending the community college class today I appreciate Dave's great work though

[@pengjerry3843]

My teacher said that this would be helpful dealing with differentiation, thanks for explaining

[@BloodClanResurrection]

Thank you so much for actually making this make sense. My textbook was absolutely no help with this.

[@growth_space]

you are amazing Professor

[@ProofDetectives]

Asslam o alikum. Thank you for the explanation professor Dave. Have a good day.

[@abdullahqureshi5934]

This is exactly how you make things simple 🎖️🎖️

[@txubbsy]

Beautiful explanation

[@ArslanMagomedov286]

Oh I did not realise that it was this easy to do. Thanks

[@BigBentley69420]

Bro science Jesus, you literally saved me. Thank you so much!!!

[@lukaavni5195]

all my homies love science Jesus

[@chinnuprasad8739]

Superb DAV sir

[@himanshurathod6472]

Make videos on conics also. Eclipse, parabola, hyperbola.

[@ProfessorDaveExplains]

buddy, i did that. go back through my mathematics playlist.

[@elaineharvey5990]

05102020 Review

[@quosswimblik4489]

Manipulate[ ListPlot[Table[ If[t > d, {(e + 1) Cos[t], (e + 1) Sin[t]}, {(e + 1 - c (t/d)) Cos[ t], (e + 1 - c (t/d)) Sin[t]}], {t, 0, Pi, 0.011}]], {c, 0, e + 1}, {d, 0.011, Pi}, {e, 0, 4}] That's the mathematica code for what I call triangular curves. What I want to achieve is a tetrahedron curved surface version for one face. all I can do is this. ParametricPlot3D[{Cos[u] Sin[v], Sin[u] Sin[v], Cos[v]}, {v, 0, Pi}, {u, 0, 2 Pi}, Mesh -> 5, BoundaryStyle -> Black, PlotStyle -> FaceForm[Red, Yellow]] Please help me with my homework dr who is trying to help me learn future maths and I'm stuck, I'll be going baldly where no one has gone before by the time i do it myself I need help.

[@NewWesternFront]

yeah this shit really do be making me go baldly

[@samuraimaster5270]

Niceee

[@aryansaxena4978]

thank you so much dave

[@alizaa7091]

so helpful!!

[@taihatranduc8613]

thank you

[@jubayeralam8358]

Thanks dude

[@tGoldenPhoenix]

Done.

[@togwswtawog]

...

[@Chrisymcmb]

Noice