• Calculus and it's ways.
    30 replies, posted
Hello all, I have since started advance calculus at my university. In this thread we can share tips on calculus. What is calculus? [quote]Calculus is a branch in mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient.[/quote] What kind of calculus is there? DIFFERENTIAL INTEGRAL VECTOR MULTIVARIABLE ITT: Talk about calculus, its laws, its application and share tips/tricks/cool shit. Peace out and calculus is the bomb. also ask me any question and I can probably answer it xD also if anybody has anything to add to the OP, please post or PM me.
Calculus is not the bomb, Laplace that shit and make it simple to solve.
Calculus isn't that hard tbh. Answer this OP: What is the derivative of Time?
[QUOTE=marcin1337;22041473]Calculus isn't that hard tbh. Answer this OP: What is the derivative of Time?[/QUOTE] Depends. If time is a constant line then the derivative of time is a constant. If time is just the now, the derivative of time is nothing. If it's anything more complicated, need to figure out what the equation is before a derivative can be obtained. [editline]11:38PM[/editline] Vector calculus? That's just normal calculus with extra dimensions, hardly counts as another kind.
[QUOTE=Devodiere;22041525]Depends. If time is a constant line then the derivative of time is a constant. If time is just the now, the derivative of time is nothing. If it's anything more complicated, need to figure out what the equation is before a derivative can be obtained. [editline]11:38PM[/editline] Vector calculus? That's just normal calculus with extra dimensions, hardly counts as another kind.[/QUOTE] -snip
[QUOTE=marcin1337;22041473]Calculus isn't that hard tbh. Answer this OP: What is the derivative of Time?[/QUOTE] The derivative of time with respect to time would be... :byodood: I suppose it'd be 1? dx/dx
[QUOTE=marcin1337;22041569]The derivative of a Constant is 0[/QUOTE] Time isn't a constant. One would assume when he says constant line, he is assuming time is linear.
[QUOTE=metallics;22041590]Time isn't a constant.[/QUOTE] I miss read his post I thought he said the derivative of constant is a constant.
I liked differential geometry and basic function theory: Doing stuff with manifolds and analysing residuals of functions on manifolds was that abstract but at the same time very "clear"/logic that it made fun to work with it. [editline]01:52PM[/editline] [QUOTE=marcin1337;22041599]I miss read his post I thought he said the derivative of constant is a constant.[/QUOTE] Even that is true: The derivation of a constant (respecting to the variable you derive) is again a constant: 0.
[QUOTE=aVoN;22041703]I liked differential geometry and basic function theory: Doing stuff with manifolds and analysing residuals of functions on manifolds was that abstract but at the same time very "clear"/logic that it made fun to work with it. [editline]01:52PM[/editline] Even that is true: The derivation of a constant (respecting to the variable you derive) is again a constant: 0.[/QUOTE] Heh XD.
Haha fun to see that this thread lacks psuedo science FPers. Going to have a big test on Friday, calculus, imaginary units and differential equations.
I derived your mom last night. She was so vector'd afterwards. Yeaaah
[QUOTE=sp00ks;22041961]I derived your mom last night. She was so vector'd afterwards. Yeaaah[/QUOTE] Oh snap.
spectacular thing it is
Vector = multivariable [editline]01:12PM[/editline] I enjoy calculus.
Calculus makes me want to stab someone in the dick.
[QUOTE=marcin1337;22041473]Calculus isn't that hard tbh. Answer this OP: What is the derivative of Time?[/QUOTE] [IMG]http://i48.tinypic.com/2427hix.gif[/IMG] :smug:
I asked my mum about Calculus once and she simply replied: "NOT FUCKING CALCULUS!"
Yeah, cacti are awesome.
[QUOTE=JohnnyMo1;22044547][IMG]http://i48.tinypic.com/2427hix.gif[/IMG] :smug:[/QUOTE] d1/d1 actually since time does not fluctuate and remains constant. Which equals 1 and can be canceled down using james' law to zero.
[QUOTE=First 10'er;22044989]d1/d1 actually since time does not fluctuate and remains constant. Which equals 1 and can be canceled down using james' law to zero.[/QUOTE] Not true. Relativity tells us that the rate at which time passes can change between two frames of reference depending on the relative velocity between them.
I so need to pull out my maths chat up line. I wish I knew your derivative to I could lie tangent to your curves. On another point, maths isn't really all that tricky. Once you know the principles you can do pretty much anything A level-wise. I just wish they taught you maths that applied to the real world. that's my I'm going on to do engineering.
[QUOTE=cherry gmod;22045152]I so need to pull out my maths chat up line. I wish I knew your derivative to I could lie tangent to your curves. On another point, maths isn't really all that tricky. Once you know the principles you can do pretty much anything A level-wise. I just wish they taught you maths that applied to the real world. that's my I'm going on to do engineering.[/QUOTE] do you not get to do applied maths in england? i moved to scotland and up here we have advance higher (a-level) > Mechanics, Applied Maths, Statistics, and normal math. [B]EDIT[/B] Jeez, johnnymo, i need to brush up on my physics. Im just taking chemistry with minor maths at this point.
Applied maths is bollucks. There is some on offer at A Level (notably stats and mechanics) but if it's taught by a maths department it won't get you anywhere. The same is true at uni, currently I'm learning maths twice. One set of "applied" "engineering" maths from the maths department, which is completely useless and a second lot of maths with actual applications in my real electronic engineering lectures. A good simple example is considering power networks with inductive loads and correctional capacitors. You can do it through pure algebra (the maths dept way) or you can do it all with phasor diagrams and trig (the engineering dept way), the latter being one hell of a lot easier.
[QUOTE=metallics;22045617]Applied maths is bollucks. There is some on offer at A Level (notably stats and mechanics) but if it's taught by a maths department it won't get you anywhere. The same is true at uni, currently I'm learning maths twice. One set of "applied" engineering maths from the maths department, which is completely useless and a second lot of maths with actual applications in my other lectures. A good simple example is considering power networks with inductive loads and correctional capacitors. You can do it through pure algebra (the maths dept way) or you can do it all with phasor diagrams and trig (the engineering dept way), the latter being one hell of a lot easier.[/QUOTE] Wait, the engineering way is easier? I thought you said the engineering math was useless?
[URL="www.wolframalpha.com"]www.wolframalpha.com[/URL] Anything said in this topic is now redundant.
[QUOTE=JohnnyMo1;22045638]Wait, the engineering way is easier? I thought you said the engineering math was useless?[/QUOTE] Nah, the engineering maths taught by the maths department is. Proper engineering maths taught by the engineering department is useful. I guess I wasn't so clear on that sorry.
[QUOTE=marcin1337;22041473]Calculus isn't that hard tbh. Answer this OP: What is the derivative of Time?[/QUOTE] I'd say it'd be time. Only because a derivative is just a slope, and that's just the rate of change. Time is changing at "x" time, when "x" equals any number... most of the time seconds because that's society's way of explaining it. (kinda like e^x's derivative is itself.)
I hate doing calculus by hand/head. It's such a bitch to write those formulas.
Question how do they use imaginary numbers in electronics? I know in algebra they are used when Delta < 0 but electronics??
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