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Math question: #7283914
06/11/21 03:55 PM
06/11/21 03:55 PM
Joined: Jul 2016
Posts: 2,991
NY
Canvasback2 Offline OP
trapper
Canvasback2  Offline OP
trapper

Joined: Jul 2016
Posts: 2,991
NY
What could this possibly be used for in everyday life ?? I watched the whole Calculus course online, and was completely LOST !!

Single-Variable Calculus -- Integration by Partial Fractions --

Re: Math question: [Re: Canvasback2] #7283915
06/11/21 04:03 PM
06/11/21 04:03 PM
Joined: Dec 2006
Posts: 13,642
Rodney,Ohio
SNIPERB🦝 Online happy
trapper
SNIPERB🦝  Online Happy
trapper

Joined: Dec 2006
Posts: 13,642
Rodney,Ohio
If your not in wildlife management, physics or graphics programming...not much

Re: Math question: [Re: Canvasback2] #7283940
06/11/21 04:55 PM
06/11/21 04:55 PM
Joined: Apr 2021
Posts: 48
East-Central Wisconsin
W
Weatherby270 Offline
trapper
Weatherby270  Offline
trapper
W

Joined: Apr 2021
Posts: 48
East-Central Wisconsin
Partial fraction decomposition is a way of "re-writing" a function that appears to be non-integrable as one that is easily recognized to be integrable. There's really nothing special about partial fraction decomposition, and you definitely don't need to understand it to understand 1-variable Calculus. The special part is the integration that comes afterwards - that's the actual "Calculus" part. The most obvious applications of integration are afforded by The Fundamental Theorem of Calculus, which tells us (amongst other things) that finding areas under or between curves is really just integrating. So one extremely useful application of integration is finding areas under curves, or areas between curves. In other words, if you have a weird 2-dimensional shape that can be bounded by curves, then you can use integration to calculate the area of that shape.

Integration is also used for a variety of applications in chemistry, physics, economics, computer science, and engineering. Differentiation and Integration are two of the most important and useful concepts in all of mathematics.

Were you watching these lecture videos for fun?

Re: Math question: [Re: Canvasback2] #7283949
06/11/21 05:09 PM
06/11/21 05:09 PM
Joined: Jun 2018
Posts: 3,813
Beatrice, NE
L
loosegoose Offline
trapper
loosegoose  Offline
trapper
L

Joined: Jun 2018
Posts: 3,813
Beatrice, NE
That's s gibberish. I have troubles adding 2 digit numbers without a calculator.

Re: Math question: [Re: Canvasback2] #7283950
06/11/21 05:09 PM
06/11/21 05:09 PM
Joined: Aug 2014
Posts: 468
PA
M
Marathon Offline
trapper
Marathon  Offline
trapper
M

Joined: Aug 2014
Posts: 468
PA
Some pre-calc or first semester calc classes have a chapter on conic sections which can be useful in drawing beaver boards.

Re: Math question: [Re: Marathon] #7283956
06/11/21 05:15 PM
06/11/21 05:15 PM
Joined: Apr 2021
Posts: 48
East-Central Wisconsin
W
Weatherby270 Offline
trapper
Weatherby270  Offline
trapper
W

Joined: Apr 2021
Posts: 48
East-Central Wisconsin
Unfortunately most algebra and calc classes don't teach about conic sections anymore. For those interested, here's a video showing what Marathon is talking about:


Re: Math question: [Re: Canvasback2] #7283959
06/11/21 05:18 PM
06/11/21 05:18 PM
Joined: Aug 2014
Posts: 468
PA
M
Marathon Offline
trapper
Marathon  Offline
trapper
M

Joined: Aug 2014
Posts: 468
PA
No conic sections? I'm getting old!

Re: Math question: [Re: Weatherby270] #7283962
06/11/21 05:35 PM
06/11/21 05:35 PM
Joined: Feb 2021
Posts: 276
Wisconsin
M
Mad Scientist Offline
trapper
Mad Scientist  Offline
trapper
M

Joined: Feb 2021
Posts: 276
Wisconsin
[quote=Weatherby270]Partial fraction decomposition is a way of "re-writing" a function that appears to be non-integrable as one that is easily recognized to be integrable. There's really nothing special about partial fraction decomposition, and you definitely don't need to understand it to understand 1-variable Calculus. The special part is the integration that comes afterwards - that's the actual "Calculus" part. The most obvious applications of integration are afforded by The Fundamental Theorem of Calculus, which tells us (amongst other things) that finding areas under or between curves is really just integrating. So one extremely useful application of integration is finding areas under curves, or areas between curves. In other words, if you have a weird 2-dimensional shape that can be bounded by curves, then you can use integration to calculate the area of that shape.

Integration is also used for a variety of applications in chemistry, physics, economics, computer science, and engineering. Differentiation and Integration are two of the most important and useful concepts in all of mathematics.

🤔 Huh?

Re: Math question: [Re: Canvasback2] #7283967
06/11/21 05:47 PM
06/11/21 05:47 PM
Joined: Mar 2019
Posts: 1,142
Southern NJ
maintenanceguy Offline
trapper
maintenanceguy  Offline
trapper

Joined: Mar 2019
Posts: 1,142
Southern NJ
Calculus lets you do math with things that are changing. How long does it take to get from A to B if your speed is constant VS. how long does it take to get from A to B if your acceleration is constant. When you accelerate, your speed is changing and the math is harder.

Calculus lets you switch back and forth between first order, second order, or third order functions. position= first order. When your position changes over time that's velocity - second order. When your velocity changes over time that's acceleration - third order.

Calculus lets you do math with one dimensional shapes in two dimensions or two dimensional shapes in three dimensions. Want to know the volume of a donut? A circle (2D) moving through space (3D) in a straight line makes a cylinder - easy. What if it rotates around a point instead of moving in a straight line? That's a donut. Calculus lets you move that circle through space and calculate the volume the circle leaves behind as it moves.


-Ryan
Re: Math question: [Re: Canvasback2] #7283969
06/11/21 05:49 PM
06/11/21 05:49 PM
Joined: Feb 2020
Posts: 798
Ohio
G
Gone Trappin. Offline
trapper
Gone Trappin.  Offline
trapper
G

Joined: Feb 2020
Posts: 798
Ohio
We learned conic sections. But I’ve already forgotten. Ellipse, focus, etc

Re: Math question: [Re: Canvasback2] #7283971
06/11/21 05:58 PM
06/11/21 05:58 PM
Joined: Mar 2019
Posts: 1,142
Southern NJ
maintenanceguy Offline
trapper
maintenanceguy  Offline
trapper

Joined: Mar 2019
Posts: 1,142
Southern NJ
I think it's good to learn stuff - exercises your brain and helps you think in new ways. There's value in learning complicated stuff you won't necessarily use.


-Ryan
Re: Math question: [Re: Canvasback2] #7283975
06/11/21 06:05 PM
06/11/21 06:05 PM
Joined: Dec 2006
Posts: 5,458
Three Lakes,WI 70
C
corky Offline
trapper
corky  Offline
trapper
C

Joined: Dec 2006
Posts: 5,458
Three Lakes,WI 70
Business calculus almost drummed me out of college. Luckily they graded on a curve and everyone else was as lost as I was.

Re: Math question: [Re: Canvasback2] #7283977
06/11/21 06:08 PM
06/11/21 06:08 PM
Joined: Aug 2010
Posts: 7,732
Asheville, NC
C
charles Online content
trapper
charles  Online Content
trapper
C

Joined: Aug 2010
Posts: 7,732
Asheville, NC
An engineer friend of mine used calculus to help me make a dip stick to measure fuel in a 550 gallon cylindrical barrel that was also tilted about 10°. Had been 30 years since my calculus days.

Re: Math question: [Re: Canvasback2] #7283980
06/11/21 06:09 PM
06/11/21 06:09 PM
Joined: Dec 2015
Posts: 2,145
NNY
0
080808 Offline
trapper
080808  Offline
trapper
0

Joined: Dec 2015
Posts: 2,145
NNY
My oldest son once said it best. “ I did well and enjoyed math until they started replacing the numbers with letters “.

Re: Math question: [Re: Canvasback2] #7283981
06/11/21 06:09 PM
06/11/21 06:09 PM
Joined: May 2011
Posts: 1,104
Kansas
K
Kansas Cat Offline
trapper
Kansas Cat  Offline
trapper
K

Joined: May 2011
Posts: 1,104
Kansas
Also handy for finding maximums and minimums(2nd derivative) and is applicable to most everything natural or mechanical.

Re: Math question: [Re: Canvasback2] #7283998
06/11/21 06:27 PM
06/11/21 06:27 PM
Joined: Aug 2014
Posts: 468
PA
M
Marathon Offline
trapper
Marathon  Offline
trapper
M

Joined: Aug 2014
Posts: 468
PA
Be careful watching that kind of stuff. You might end up like this guy.

Re: Math question: [Re: Canvasback2] #7284003
06/11/21 06:37 PM
06/11/21 06:37 PM
Joined: Dec 2009
Posts: 12,965
The Hill Country of Texas
Leftlane Offline
"HOSS"
Leftlane  Offline
"HOSS"

Joined: Dec 2009
Posts: 12,965
The Hill Country of Texas
stop yet sniveling you ought to sit thru some of the continuing education courses I have to take


“What’s good for me may not be good for the weak minded.”
Captain Gus McCrae- Texas Rangers


Re: Math question: [Re: Canvasback2] #7284035
06/11/21 07:34 PM
06/11/21 07:34 PM
Joined: Aug 2008
Posts: 11,962
ny
U
upstateNY Offline
trapper
upstateNY  Offline
trapper
U

Joined: Aug 2008
Posts: 11,962
ny
I have two sons,,and both are engineers,and had to take all them fancy math courses.I told them I quit taking math when the teacher said Pie R Squared,,,and I knew very well pies are round.They just say,,,go weed the garden again Dad. grin


the wheels of the gods turn very slowly
Re: Math question: [Re: Canvasback2] #7284077
06/11/21 08:14 PM
06/11/21 08:14 PM
Joined: Dec 2009
Posts: 12,965
The Hill Country of Texas
Leftlane Offline
"HOSS"
Leftlane  Offline
"HOSS"

Joined: Dec 2009
Posts: 12,965
The Hill Country of Texas
Yeah dad go do something useful like fill the freezer with Walleye slabs!grin


“What’s good for me may not be good for the weak minded.”
Captain Gus McCrae- Texas Rangers


Re: Math question: [Re: Canvasback2] #7284555
06/12/21 02:21 PM
06/12/21 02:21 PM
Joined: Dec 2006
Posts: 6,261
MN >>>
T-Rex Offline
trapper
T-Rex  Offline
trapper

Joined: Dec 2006
Posts: 6,261
MN >>>
How many cord are in this woodpile assuming the hoop is 4ft x 16ft with a 7 1/2ft base?
[Linked Image]


Man who mistake shillelagh for fairy wand; see pixie dust, also.
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