- published: 24 Aug 2009
- views: 109726
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Using line integrals to find the work done on a particle moving through a vector field
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 26 Feb 2010
- views: 211211
022 - Vector Field
In this video Paul Andersen explains how a vector field shows the distribution of vector quantities. In AP Physics 1 student should be able to map and understand gravitational vector fields. In AP Physics 2 students should be able to map and understand vector fields related to magnetism.
Do you speak another language? Help me translate my videos:
http://www.bozemanscience.com/translations/
Music Attribution
Title: String Theory
Artist: Herman Jolly
http://sunsetvalley.bandcamp.com/track/string-theory
All of the images are licensed under creative commons and public domain licensing:
"Charges and Fields." PhET. Accessed May 20, 2014. http://phet.colorado.edu/en/simulation/charges-and-fields.
"File:Irrotationalfield.svg." Wikipedia, the Free Encyclopedia. Accessed May 20, 2014. http://en.wikipedia.org/wiki/File:Irrotationalfield.svg.
"File:Radial Vector Field Dense.svg." Wikipedia, the Free Encyclopedia, April 18, 2014. http://en.wikipedia.org/w/index.php?title=File:Radial_vector_field_dense.svg&oldid;=502516260.
Gregors. English: A Vector Image of the Earth's Moon, March 10, 2011. Own work. http://commons.wikimedia.org/wiki/File:Earths_Moon.svg.
McSush, derivative work: A Tourism Map Location Symbol, as a Stick-Pin with Shadow, on Transparent (but White Background in Some IE Browsers)., 00:30 (UTC). Map_symbol-pin.gif. http://commons.wikimedia.org/wiki/File:Map_symbol-pin.svg.
mehmetaergun. Africa-Centered, "Upside-down" Earth, May 1, 2007. Own work. http://commons.wikimedia.org/wiki/File:Earth.svg.
PhET Charges and Fields, n.d. http://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html.
Sjlegg. English: Gravitational Field Lines and Equipotentials (red) around the Earth., May 9, 2009. Own work. http://commons.wikimedia.org/wiki/File:Gravitational_field_Earth_lines_equipotentials.svg.
- published: 16 Jun 2014
- views: 12231
Finding a Potential for a Conservative Vector Field.
In this video, I find the potential for a conservative vector field.
- published: 26 Dec 2009
- views: 155184
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
- published: 13 Jan 2012
- views: 8096
A discussion of vector fields and the application of calculus ideas (visualization, continuity, derivatives, and integrals) to them.
- published: 20 Jul 2012
- views: 10131
Conservative Vector Fields - The Definition and a Few Remarks.
In this video, I give the definition of a conservative vector field and the potential function.
I provide links to many common types of problems related to conservative vector fields towards the end.
- published: 19 Dec 2009
- views: 60240
This lecture gently introduces the idea of a vector field. Dr Chris Tisdell discusses the need for a vector field, plus presents many examples.
This lecture is from a course of Vector Calculus, which is taught at UNSW, Sydney by Dr Chris Tisdell..
- published: 11 May 2009
- views: 28434
To get more help with calculus, check out: https://www.calculusexpert.com/
In this video we'll learn how to find the potential function of a conservative vector field.
- published: 04 Dec 2014
- views: 4744
Curl and Showing a Vector Field is Conservative on R_3.
In this video, I give the definition of the ' curl ' of a vector field and show how it can be used to determine if a vector field on R_3 is conservative or not.
- published: 19 Dec 2009
- views: 68448
In vector calculus, a vector field is an assignment of a vector to each point in a subset of Euclidean space. A vector field in the plane for instance can be visualized as an arrow, with a given magnitude and direction, attached to each point in the plane. Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.
The elements of differential and integral calculus extend to vector fields in a natural way. When a vector field represents force, the line integral of a vector field represents the work done by a force moving along a path, and under this interpretation conservation of energy is exhibited as a special case of the fundamental theorem of calculus. Vector fields can usefully be thought of as representing the velocity of a moving flow in space, and this physical intuition leads to notions such as the divergence (which represents the rate of change of volume of a flow) and curl (which represents the rotation of a flow).
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Vector_field
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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8:11Vector Fields - Sketching
Vector Fields - Sketching -
16:47Line integrals and vector fields | Multivariable Calculus | Khan Academy
Line integrals and vector fields | Multivariable Calculus | Khan AcademyLine integrals and vector fields | Multivariable Calculus | Khan Academy
Using line integrals to find the work done on a particle moving through a vector field Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy -
11:30Introduction to Vector Fields
Introduction to Vector FieldsIntroduction to Vector Fields
http://mathispower4u.yolasite.com/ -
7:47Vector Field
Vector FieldVector Field
022 - Vector Field In this video Paul Andersen explains how a vector field shows the distribution of vector quantities. In AP Physics 1 student should be able to map and understand gravitational vector fields. In AP Physics 2 students should be able to map and understand vector fields related to magnetism. Do you speak another language? Help me translate my videos: http://www.bozemanscience.com/translations/ Music Attribution Title: String Theory Artist: Herman Jolly http://sunsetvalley.bandcamp.com/track/string-theory All of the images are licensed under creative commons and public domain licensing: "Charges and Fields." PhET. Accessed May 20, 2014. http://phet.colorado.edu/en/simulation/charges-and-fields. "File:Irrotationalfield.svg." Wikipedia, the Free Encyclopedia. Accessed May 20, 2014. http://en.wikipedia.org/wiki/File:Irrotationalfield.svg. "File:Radial Vector Field Dense.svg." Wikipedia, the Free Encyclopedia, April 18, 2014. http://en.wikipedia.org/w/index.php?title=File:Radial_vector_field_dense.svg&oldid;=502516260. Gregors. English: A Vector Image of the Earth's Moon, March 10, 2011. Own work. http://commons.wikimedia.org/wiki/File:Earths_Moon.svg. McSush, derivative work: A Tourism Map Location Symbol, as a Stick-Pin with Shadow, on Transparent (but White Background in Some IE Browsers)., 00:30 (UTC). Map_symbol-pin.gif. http://commons.wikimedia.org/wiki/File:Map_symbol-pin.svg. mehmetaergun. Africa-Centered, "Upside-down" Earth, May 1, 2007. Own work. http://commons.wikimedia.org/wiki/File:Earth.svg. PhET Charges and Fields, n.d. http://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html. Sjlegg. English: Gravitational Field Lines and Equipotentials (red) around the Earth., May 9, 2009. Own work. http://commons.wikimedia.org/wiki/File:Gravitational_field_Earth_lines_equipotentials.svg. -
10:07Finding a Potential for a Conservative Vector Field
Finding a Potential for a Conservative Vector FieldFinding a Potential for a Conservative Vector Field
Finding a Potential for a Conservative Vector Field. In this video, I find the potential for a conservative vector field. -
53:08Worldwide Calculus: Vector Fields
Worldwide Calculus: Vector FieldsWorldwide Calculus: Vector Fields
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org. -
50:03Calculus 3, Topic 22: Vector fields
Calculus 3, Topic 22: Vector fieldsCalculus 3, Topic 22: Vector fields
A discussion of vector fields and the application of calculus ideas (visualization, continuity, derivatives, and integrals) to them. -
6:21Divergence of a vector field: Vector Calculus
Divergence of a vector field: Vector CalculusDivergence of a vector field: Vector Calculus
Free ebook http://tinyurl.com/EngMathYT I present a simple example where I compute the divergence of a given vector field. I give a rough interpretation of the physical meaning of divergence. Such an example is seen in 2nd year university mathematics courses. -
4:02Conservative Vector Fields - The Definition and a Few Remarks
Conservative Vector Fields - The Definition and a Few RemarksConservative Vector Fields - The Definition and a Few Remarks
Conservative Vector Fields - The Definition and a Few Remarks. In this video, I give the definition of a conservative vector field and the potential function. I provide links to many common types of problems related to conservative vector fields towards the end. -
42:47What is a vector field?? Chris Tisdell UNSW
What is a vector field?? Chris Tisdell UNSWWhat is a vector field?? Chris Tisdell UNSW
This lecture gently introduces the idea of a vector field. Dr Chris Tisdell discusses the need for a vector field, plus presents many examples. This lecture is from a course of Vector Calculus, which is taught at UNSW, Sydney by Dr Chris Tisdell.. -
12:58potential function of a conservative vector field
potential function of a conservative vector fieldpotential function of a conservative vector field
To get more help with calculus, check out: https://www.calculusexpert.com/ In this video we'll learn how to find the potential function of a conservative vector field. -
6:10Curl and Showing a Vector Field is Conservative on R_3
Curl and Showing a Vector Field is Conservative on R_3Curl and Showing a Vector Field is Conservative on R_3
Curl and Showing a Vector Field is Conservative on R_3. In this video, I give the definition of the ' curl ' of a vector field and show how it can be used to determine if a vector field on R_3 is conservative or not. -
8:49Finding the Potential of a Conservative Vector Field / Ex 2
Finding the Potential of a Conservative Vector Field / Ex 2Finding the Potential of a Conservative Vector Field / Ex 2
In this video, I show another example of finding a potential for a conservative vector field. -
50:23Multivariable Calculus: Lecture 25 - Vector Fields and Line Integrals
Multivariable Calculus: Lecture 25 - Vector Fields and Line IntegralsMultivariable Calculus: Lecture 25 - Vector Fields and Line Integrals
- Barometric pressure
- Closed manifold
- Compact support
- Conservative field
- Covector
- Curl (mathematics)
- Del
- Derivative
- Diffeomorphism
- Differential form
- Divergence
- Divergence theorem
- Dual space
- Equivalence class
- Euclidean space
- Euclidean vector
- Exponential map
- Exterior derivative
- Field line
- Flow (mathematics)
- Fluid
- Fluid flow
- Force
- Geodesic flow
- Gradient
- Gradient descent
- Gravitational field
- Gravity
- Integral curve
- Iron
- Lie derivative
- Lie group
- Light field
- Line integral
- Lines of force
- Lipschitz continuity
- Magnetic dipole
- Magnetic field
- Magnetism
- Map (mathematics)
- Mathworld
- Maxwell's equations
- Michael Faraday
- Module (mathematics)
- One-parameter group
- Open set
- Orthogonal group
- Orthogonal matrix
- P-vector
- PlanetMath
- Polar coordinates
- Portal Mathematics
- Real number line
- Riemann integral
- Riemannian manifold
- Riemannian metric
- Ring (mathematics)
- Scalar field
- Section
- Smooth function
- Sphere
- Stokes' theorem
- Surface
- Tangent bundle
- Tangent space
- Tensor field
- Vector (geometry)
- Vector calculus
- Vector field
- Velocity
- Wind tunnel
- Wingtip vortex
-
-
Line integrals and vector fields | Multivariable Calculus | Khan Academy
Using line integrals to find the work done on a particle moving through a vector field Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy -
Introduction to Vector Fields
http://mathispower4u.yolasite.com/ -
Vector Field
022 - Vector Field In this video Paul Andersen explains how a vector field shows the distribution of vector quantities. In AP Physics 1 student should be able to map and understand gravitational vector fields. In AP Physics 2 students should be able to map and understand vector fields related to magnetism. Do you speak another language? Help me translate my videos: http://www.bozemanscience.com/translations/ Music Attribution Title: String Theory Artist: Herman Jolly http://sunsetvalley.bandcamp.com/track/string-theory All of the images are licensed under creative commons and public domain licensing: "Charges and Fields." PhET. Accessed May 20, 2014. http://phet.colorado.edu/en/simulation/charges-and-fields. "File:Irrotationalfield.svg." Wikipedia, the Free Encyclopedia. Accessed May 20, 2014. http://en.wikipedia.org/wiki/File:Irrotationalfield.svg. "File:Radial Vector Field Dense.svg." Wikipedia, the Free Encyclopedia, April 18, 2014. http://en.wikipedia.org/w/index.php?title=File:Radial_vector_field_dense.svg&oldid;=502516260. Gregors. English: A Vector Image of the Earth's Moon, March 10, 2011. Own work. http://commons.wikimedia.org/wiki/File:Earths_Moon.svg. McSush, derivative work: A Tourism Map Location Symbol, as a Stick-Pin with Shadow, on Transparent (but White Background in Some IE Browsers)., 00:30 (UTC). Map_symbol-pin.gif. http://commons.wikimedia.org/wiki/File:Map_symbol-pin.svg. mehmetaergun. Africa-Centered, "Upside-down" Earth, May 1, 2007. Own work. http://commons.wikimedia.org/wiki/File:Earth.svg. PhET Charges and Fields, n.d. http://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html. Sjlegg. English: Gravitational Field Lines and Equipotentials (red) around the Earth., May 9, 2009. Own work. http://commons.wikimedia.org/wiki/File:Gravitational_field_Earth_lines_equipotentials.svg. -
Finding a Potential for a Conservative Vector Field
Finding a Potential for a Conservative Vector Field. In this video, I find the potential for a conservative vector field. -
Worldwide Calculus: Vector Fields
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org. -
Calculus 3, Topic 22: Vector fields
A discussion of vector fields and the application of calculus ideas (visualization, continuity, derivatives, and integrals) to them. -
Divergence of a vector field: Vector Calculus
Free ebook http://tinyurl.com/EngMathYT I present a simple example where I compute the divergence of a given vector field. I give a rough interpretation of the physical meaning of divergence. Such an example is seen in 2nd year university mathematics courses. -
Conservative Vector Fields - The Definition and a Few Remarks
Conservative Vector Fields - The Definition and a Few Remarks. In this video, I give the definition of a conservative vector field and the potential function. I provide links to many common types of problems related to conservative vector fields towards the end. -
What is a vector field?? Chris Tisdell UNSW
This lecture gently introduces the idea of a vector field. Dr Chris Tisdell discusses the need for a vector field, plus presents many examples. This lecture is from a course of Vector Calculus, which is taught at UNSW, Sydney by Dr Chris Tisdell.. -
potential function of a conservative vector field
To get more help with calculus, check out: https://www.calculusexpert.com/ In this video we'll learn how to find the potential function of a conservative vector field. -
Curl and Showing a Vector Field is Conservative on R_3
Curl and Showing a Vector Field is Conservative on R_3. In this video, I give the definition of the ' curl ' of a vector field and show how it can be used to determine if a vector field on R_3 is conservative or not. -
Finding the Potential of a Conservative Vector Field / Ex 2
In this video, I show another example of finding a potential for a conservative vector field. -
Multivariable Calculus: Lecture 25 - Vector Fields and Line Integrals
-
Using a line integral to find the work done by a vector field example | Khan Academy
Using a line integral to find the work done by a vector field example Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/parametrization-of-a-reverse-path?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/line-integrals-and-vector-fields?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy -
The Curl of a Vector Field
http://mathispower4u.yolasite.com/ -
The Divergence of a Vector Field
http://mathispower4u.yolasite.com/ -
Second example of line integral of conservative vector field | Multivariable Calculus | Khan Academy
Using path independence of a conservative vector field to solve a line integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-1?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy -
Closed curve line integrals of conservative vector fields | Multivariable Calculus | Khan Academy
Showing that the line integral along closed curves of conservative vector fields is zero Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/path-independence-for-line-integrals?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy -
Surface Integral of a Vector Field - Part 1
http://mathispower4u.wordpress.com/ -
The Curl of a Vector Field (new)
This video fixed an error on the second slide of the original video lesson. This video explains how to find the curl of a vector field. -
Determining the Potential Function of a Conservative Vector Field
http://mathispower4u.wordpress.com/ -
Line Integral of Vector Fields
This video explains how to evaluate a line integral of vector field to determine work. http://mathispower4u.yolasite.com/
Vector Fields - Sketching
- Order: Reorder
- Duration: 8:11
- Updated: 24 Aug 2009
- views: 109726
Vector Fields - Sketching
In this video, I give the definition of a 2d and 3d vector field, and do one example of roughly sketching a vector field.
For more f...
Vector Fields - Sketching
In this video, I give the definition of a 2d and 3d vector field, and do one example of roughly sketching a vector field.
For more free math videos, visit http://PatrickJMT.com
wn.com/Vector Fields Sketching
Line integrals and vector fields | Multivariable Calculus | Khan Academy
- Order: Reorder
- Duration: 16:47
- Updated: 26 Feb 2010
- views: 211211
Using line integrals to find the work done on a particle moving through a vector field
Watch the next lesson: https://www.khanacademy.org/math/multivariable-ca...
Using line integrals to find the work done on a particle moving through a vector field
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
wn.com/Line Integrals And Vector Fields | Multivariable Calculus | Khan Academy
Using line integrals to find the work done on a particle moving through a vector field
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
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- published: 26 Feb 2010
- views: 211211
Introduction to Vector Fields
- Order: Reorder
- Duration: 11:30
- Updated: 26 Feb 2011
- views: 22113
http://mathispower4u.yolasite.com/
http://mathispower4u.yolasite.com/
wn.com/Introduction To Vector Fields
Vector Field
- Order: Reorder
- Duration: 7:47
- Updated: 16 Jun 2014
- views: 12231
022 - Vector Field
In this video Paul Andersen explains how a vector field shows the distribution of vector quantities. In AP Physics 1 student should be able...
022 - Vector Field
In this video Paul Andersen explains how a vector field shows the distribution of vector quantities. In AP Physics 1 student should be able to map and understand gravitational vector fields. In AP Physics 2 students should be able to map and understand vector fields related to magnetism.
Do you speak another language? Help me translate my videos:
http://www.bozemanscience.com/translations/
Music Attribution
Title: String Theory
Artist: Herman Jolly
http://sunsetvalley.bandcamp.com/track/string-theory
All of the images are licensed under creative commons and public domain licensing:
"Charges and Fields." PhET. Accessed May 20, 2014. http://phet.colorado.edu/en/simulation/charges-and-fields.
"File:Irrotationalfield.svg." Wikipedia, the Free Encyclopedia. Accessed May 20, 2014. http://en.wikipedia.org/wiki/File:Irrotationalfield.svg.
"File:Radial Vector Field Dense.svg." Wikipedia, the Free Encyclopedia, April 18, 2014. http://en.wikipedia.org/w/index.php?title=File:Radial_vector_field_dense.svg&oldid;=502516260.
Gregors. English: A Vector Image of the Earth's Moon, March 10, 2011. Own work. http://commons.wikimedia.org/wiki/File:Earths_Moon.svg.
McSush, derivative work: A Tourism Map Location Symbol, as a Stick-Pin with Shadow, on Transparent (but White Background in Some IE Browsers)., 00:30 (UTC). Map_symbol-pin.gif. http://commons.wikimedia.org/wiki/File:Map_symbol-pin.svg.
mehmetaergun. Africa-Centered, "Upside-down" Earth, May 1, 2007. Own work. http://commons.wikimedia.org/wiki/File:Earth.svg.
PhET Charges and Fields, n.d. http://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html.
Sjlegg. English: Gravitational Field Lines and Equipotentials (red) around the Earth., May 9, 2009. Own work. http://commons.wikimedia.org/wiki/File:Gravitational_field_Earth_lines_equipotentials.svg.
wn.com/Vector Field
022 - Vector Field
In this video Paul Andersen explains how a vector field shows the distribution of vector quantities. In AP Physics 1 student should be able to map and understand gravitational vector fields. In AP Physics 2 students should be able to map and understand vector fields related to magnetism.
Do you speak another language? Help me translate my videos:
http://www.bozemanscience.com/translations/
Music Attribution
Title: String Theory
Artist: Herman Jolly
http://sunsetvalley.bandcamp.com/track/string-theory
All of the images are licensed under creative commons and public domain licensing:
"Charges and Fields." PhET. Accessed May 20, 2014. http://phet.colorado.edu/en/simulation/charges-and-fields.
"File:Irrotationalfield.svg." Wikipedia, the Free Encyclopedia. Accessed May 20, 2014. http://en.wikipedia.org/wiki/File:Irrotationalfield.svg.
"File:Radial Vector Field Dense.svg." Wikipedia, the Free Encyclopedia, April 18, 2014. http://en.wikipedia.org/w/index.php?title=File:Radial_vector_field_dense.svg&oldid;=502516260.
Gregors. English: A Vector Image of the Earth's Moon, March 10, 2011. Own work. http://commons.wikimedia.org/wiki/File:Earths_Moon.svg.
McSush, derivative work: A Tourism Map Location Symbol, as a Stick-Pin with Shadow, on Transparent (but White Background in Some IE Browsers)., 00:30 (UTC). Map_symbol-pin.gif. http://commons.wikimedia.org/wiki/File:Map_symbol-pin.svg.
mehmetaergun. Africa-Centered, "Upside-down" Earth, May 1, 2007. Own work. http://commons.wikimedia.org/wiki/File:Earth.svg.
PhET Charges and Fields, n.d. http://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html.
Sjlegg. English: Gravitational Field Lines and Equipotentials (red) around the Earth., May 9, 2009. Own work. http://commons.wikimedia.org/wiki/File:Gravitational_field_Earth_lines_equipotentials.svg.
- published: 16 Jun 2014
- views: 12231
Finding a Potential for a Conservative Vector Field
- Order: Reorder
- Duration: 10:07
- Updated: 26 Dec 2009
- views: 155184
Finding a Potential for a Conservative Vector Field.
In this video, I find the potential for a conservative vector field.
Finding a Potential for a Conservative Vector Field.
In this video, I find the potential for a conservative vector field.
wn.com/Finding A Potential For A Conservative Vector Field
Finding a Potential for a Conservative Vector Field.
In this video, I find the potential for a conservative vector field.
- published: 26 Dec 2009
- views: 155184
Worldwide Calculus: Vector Fields
- Order: Reorder
- Duration: 53:08
- Updated: 13 Jan 2012
- views: 8096
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
wn.com/Worldwide Calculus Vector Fields
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
- published: 13 Jan 2012
- views: 8096
Calculus 3, Topic 22: Vector fields
- Order: Reorder
- Duration: 50:03
- Updated: 20 Jul 2012
- views: 10131
A discussion of vector fields and the application of calculus ideas (visualization, continuity, derivatives, and integrals) to them.
A discussion of vector fields and the application of calculus ideas (visualization, continuity, derivatives, and integrals) to them.
wn.com/Calculus 3, Topic 22 Vector Fields
A discussion of vector fields and the application of calculus ideas (visualization, continuity, derivatives, and integrals) to them.
- published: 20 Jul 2012
- views: 10131
Divergence of a vector field: Vector Calculus
- Order: Reorder
- Duration: 6:21
- Updated: 05 Apr 2009
- views: 51611
Free ebook http://tinyurl.com/EngMathYT
I present a simple example where I compute the divergence of a given vector field. I give a rough interpretation of the ...
Free ebook http://tinyurl.com/EngMathYT
I present a simple example where I compute the divergence of a given vector field. I give a rough interpretation of the physical meaning of divergence. Such an example is seen in 2nd year university mathematics courses.
wn.com/Divergence Of A Vector Field Vector Calculus
Conservative Vector Fields - The Definition and a Few Remarks
- Order: Reorder
- Duration: 4:02
- Updated: 19 Dec 2009
- views: 60240
Conservative Vector Fields - The Definition and a Few Remarks.
In this video, I give the definition of a conservative vector field and the potential function.
I...
Conservative Vector Fields - The Definition and a Few Remarks.
In this video, I give the definition of a conservative vector field and the potential function.
I provide links to many common types of problems related to conservative vector fields towards the end.
wn.com/Conservative Vector Fields The Definition And A Few Remarks
Conservative Vector Fields - The Definition and a Few Remarks.
In this video, I give the definition of a conservative vector field and the potential function.
I provide links to many common types of problems related to conservative vector fields towards the end.
- published: 19 Dec 2009
- views: 60240
What is a vector field?? Chris Tisdell UNSW
- Order: Reorder
- Duration: 42:47
- Updated: 11 May 2009
- views: 28434
This lecture gently introduces the idea of a vector field. Dr Chris Tisdell discusses the need for a vector field, plus presents many examples.
This lecture...
This lecture gently introduces the idea of a vector field. Dr Chris Tisdell discusses the need for a vector field, plus presents many examples.
This lecture is from a course of Vector Calculus, which is taught at UNSW, Sydney by Dr Chris Tisdell..
wn.com/What Is A Vector Field Chris Tisdell Unsw
This lecture gently introduces the idea of a vector field. Dr Chris Tisdell discusses the need for a vector field, plus presents many examples.
This lecture is from a course of Vector Calculus, which is taught at UNSW, Sydney by Dr Chris Tisdell..
- published: 11 May 2009
- views: 28434
potential function of a conservative vector field
- Order: Reorder
- Duration: 12:58
- Updated: 04 Dec 2014
- views: 4744
To get more help with calculus, check out: https://www.calculusexpert.com/
In this video we'll learn how to find the potential function of a conservative vecto...
To get more help with calculus, check out: https://www.calculusexpert.com/
In this video we'll learn how to find the potential function of a conservative vector field.
wn.com/Potential Function Of A Conservative Vector Field
To get more help with calculus, check out: https://www.calculusexpert.com/
In this video we'll learn how to find the potential function of a conservative vector field.
- published: 04 Dec 2014
- views: 4744
Curl and Showing a Vector Field is Conservative on R_3
- Order: Reorder
- Duration: 6:10
- Updated: 19 Dec 2009
- views: 68448
Curl and Showing a Vector Field is Conservative on R_3.
In this video, I give the definition of the ' curl ' of a vector field and show how it can be used to d...
Curl and Showing a Vector Field is Conservative on R_3.
In this video, I give the definition of the ' curl ' of a vector field and show how it can be used to determine if a vector field on R_3 is conservative or not.
wn.com/Curl And Showing A Vector Field Is Conservative On R 3
Curl and Showing a Vector Field is Conservative on R_3.
In this video, I give the definition of the ' curl ' of a vector field and show how it can be used to determine if a vector field on R_3 is conservative or not.
- published: 19 Dec 2009
- views: 68448
Finding the Potential of a Conservative Vector Field / Ex 2
- Order: Reorder
- Duration: 8:49
- Updated: 29 Dec 2009
- views: 50787
In this video, I show another example of finding a potential for a conservative vector field.
In this video, I show another example of finding a potential for a conservative vector field.
wn.com/Finding The Potential Of A Conservative Vector Field Ex 2
In this video, I show another example of finding a potential for a conservative vector field.
- published: 29 Dec 2009
- views: 50787
Multivariable Calculus: Lecture 25 - Vector Fields and Line Integrals
- Order: Reorder
- Duration: 50:23
- Updated: 16 Jun 2012
- views: 22402
- published: 16 Jun 2012
- views: 22402
Using a line integral to find the work done by a vector field example | Khan Academy
- Order: Reorder
- Duration: 11:32
- Updated: 27 Feb 2010
- views: 153624
Using a line integral to find the work done by a vector field example
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integ...
Using a line integral to find the work done by a vector field example
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/parametrization-of-a-reverse-path?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/line-integrals-and-vector-fields?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
wn.com/Using A Line Integral To Find The Work Done By A Vector Field Example | Khan Academy
Using a line integral to find the work done by a vector field example
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/parametrization-of-a-reverse-path?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/line-integrals-and-vector-fields?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 27 Feb 2010
- views: 153624
The Curl of a Vector Field
- Order: Reorder
- Duration: 7:02
- Updated: 26 Feb 2011
- views: 10119
http://mathispower4u.yolasite.com/
http://mathispower4u.yolasite.com/
wn.com/The Curl Of A Vector Field
The Divergence of a Vector Field
- Order: Reorder
- Duration: 5:29
- Updated: 26 Feb 2011
- views: 12135
http://mathispower4u.yolasite.com/
http://mathispower4u.yolasite.com/
wn.com/The Divergence Of A Vector Field
Second example of line integral of conservative vector field | Multivariable Calculus | Khan Academy
- Order: Reorder
- Duration: 10:19
- Updated: 06 Mar 2010
- views: 45984
Using path independence of a conservative vector field to solve a line integral
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/...
Using path independence of a conservative vector field to solve a line integral
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-1?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
wn.com/Second Example Of Line Integral Of Conservative Vector Field | Multivariable Calculus | Khan Academy
Using path independence of a conservative vector field to solve a line integral
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-1?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 06 Mar 2010
- views: 45984
Closed curve line integrals of conservative vector fields | Multivariable Calculus | Khan Academy
- Order: Reorder
- Duration: 8:25
- Updated: 06 Mar 2010
- views: 72261
Showing that the line integral along closed curves of conservative vector fields is zero
Watch the next lesson: https://www.khanacademy.org/math/multivariable-...
Showing that the line integral along closed curves of conservative vector fields is zero
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/path-independence-for-line-integrals?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
wn.com/Closed Curve Line Integrals Of Conservative Vector Fields | Multivariable Calculus | Khan Academy
Showing that the line integral along closed curves of conservative vector fields is zero
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/path-independence-for-line-integrals?utm_source=YT&utm;_medium=Desc&utm;_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 06 Mar 2010
- views: 72261
Surface Integral of a Vector Field - Part 1
- Order: Reorder
- Duration: 6:42
- Updated: 08 Mar 2011
- views: 32051
http://mathispower4u.wordpress.com/
http://mathispower4u.wordpress.com/
wn.com/Surface Integral Of A Vector Field Part 1
The Curl of a Vector Field (new)
- Order: Reorder
- Duration: 7:02
- Updated: 16 Apr 2012
- views: 13063
This video fixed an error on the second slide of the original video lesson. This video explains how to find the curl of a vector field.
This video fixed an error on the second slide of the original video lesson. This video explains how to find the curl of a vector field.
wn.com/The Curl Of A Vector Field (New)
This video fixed an error on the second slide of the original video lesson. This video explains how to find the curl of a vector field.
- published: 16 Apr 2012
- views: 13063
Determining the Potential Function of a Conservative Vector Field
- Order: Reorder
- Duration: 6:58
- Updated: 07 Mar 2011
- views: 13972
http://mathispower4u.wordpress.com/
http://mathispower4u.wordpress.com/
wn.com/Determining The Potential Function Of A Conservative Vector Field
Line Integral of Vector Fields
- Order: Reorder
- Duration: 7:49
- Updated: 26 Feb 2011
- views: 13181
This video explains how to evaluate a line integral of vector field to determine work.
http://mathispower4u.yolasite.com/
This video explains how to evaluate a line integral of vector field to determine work.
http://mathispower4u.yolasite.com/
wn.com/Line Integral Of Vector Fields
This video explains how to evaluate a line integral of vector field to determine work.
http://mathispower4u.yolasite.com/
- published: 26 Feb 2011
- views: 13181
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8:11
Vector Fields - Sketching
Vector Fields - Sketching
In this video, I give the definition of a 2d and 3d vector fiel...
published: 24 Aug 2009
Vector Fields - Sketching
Vector Fields - Sketching
- Report rights infringement
- published: 24 Aug 2009
- views: 109726
16:47
Line integrals and vector fields | Multivariable Calculus | Khan Academy
Using line integrals to find the work done on a particle moving through a vector field
Wa...
published: 26 Feb 2010
Line integrals and vector fields | Multivariable Calculus | Khan Academy
Line integrals and vector fields | Multivariable Calculus | Khan Academy
- Report rights infringement
- published: 26 Feb 2010
- views: 211211
11:30
Introduction to Vector Fields
http://mathispower4u.yolasite.com/
published: 26 Feb 2011
Introduction to Vector Fields
Introduction to Vector Fields
- Report rights infringement
- published: 26 Feb 2011
- views: 22113
7:47
Vector Field
022 - Vector Field
In this video Paul Andersen explains how a vector field shows the dist...
published: 16 Jun 2014
Vector Field
Vector Field
- Report rights infringement
- published: 16 Jun 2014
- views: 12231
10:07
Finding a Potential for a Conservative Vector Field
Finding a Potential for a Conservative Vector Field.
In this video, I find the potential ...
published: 26 Dec 2009
Finding a Potential for a Conservative Vector Field
Finding a Potential for a Conservative Vector Field
- Report rights infringement
- published: 26 Dec 2009
- views: 155184
53:08
Worldwide Calculus: Vector Fields
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture video...
published: 13 Jan 2012
Worldwide Calculus: Vector Fields
Worldwide Calculus: Vector Fields
- Report rights infringement
- published: 13 Jan 2012
- views: 8096
50:03
Calculus 3, Topic 22: Vector fields
A discussion of vector fields and the application of calculus ideas (visualization, contin...
published: 20 Jul 2012
Calculus 3, Topic 22: Vector fields
Calculus 3, Topic 22: Vector fields
- Report rights infringement
- published: 20 Jul 2012
- views: 10131
6:21
Divergence of a vector field: Vector Calculus
Free ebook http://tinyurl.com/EngMathYT
I present a simple example where I compute the div...
published: 05 Apr 2009
Divergence of a vector field: Vector Calculus
Divergence of a vector field: Vector Calculus
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- published: 05 Apr 2009
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4:02
Conservative Vector Fields - The Definition and a Few Remarks
Conservative Vector Fields - The Definition and a Few Remarks.
In this video, I give the d...
published: 19 Dec 2009
Conservative Vector Fields - The Definition and a Few Remarks
Conservative Vector Fields - The Definition and a Few Remarks
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- published: 19 Dec 2009
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42:47
What is a vector field?? Chris Tisdell UNSW
This lecture gently introduces the idea of a vector field. Dr Chris Tisdell discusses the...
published: 11 May 2009
What is a vector field?? Chris Tisdell UNSW
What is a vector field?? Chris Tisdell UNSW
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- published: 11 May 2009
- views: 28434
12:58
potential function of a conservative vector field
To get more help with calculus, check out: https://www.calculusexpert.com/
In this video ...
published: 04 Dec 2014
potential function of a conservative vector field
potential function of a conservative vector field
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6:10
Curl and Showing a Vector Field is Conservative on R_3
Curl and Showing a Vector Field is Conservative on R_3.
In this video, I give the definit...
published: 19 Dec 2009
Curl and Showing a Vector Field is Conservative on R_3
Curl and Showing a Vector Field is Conservative on R_3
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8:49
Finding the Potential of a Conservative Vector Field / Ex 2
In this video, I show another example of finding a potential for a conservative vector fie...
published: 29 Dec 2009
Finding the Potential of a Conservative Vector Field / Ex 2
Finding the Potential of a Conservative Vector Field / Ex 2
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- published: 29 Dec 2009
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50:23
Multivariable Calculus: Lecture 25 - Vector Fields and Line Integrals
published: 16 Jun 2012
Multivariable Calculus: Lecture 25 - Vector Fields and Line Integrals
Multivariable Calculus: Lecture 25 - Vector Fields and Line Integrals
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Vector Fields - Sketching...
Line integrals and vector fields | Multivariable C...
Introduction to Vector Fields...
Vector Field...
Finding a Potential for a Conservative Vector Fiel...
Worldwide Calculus: Vector Fields...
Calculus 3, Topic 22: Vector fields...
Divergence of a vector field: Vector Calculus...
Conservative Vector Fields - The Definition and a ...
What is a vector field?? Chris Tisdell UNSW...
potential function of a conservative vector field...
Curl and Showing a Vector Field is Conservative on...
Finding the Potential of a Conservative Vector Fie...
Multivariable Calculus: Lecture 25 - Vector Fields...
Using a line integral to find the work done by a v...
The Curl of a Vector Field...
The Divergence of a Vector Field...
Second example of line integral of conservative ve...
Closed curve line integrals of conservative vector...
Surface Integral of a Vector Field - Part 1...
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Determining the Potential Function of a Conservati...
Line Integral of Vector Fields...
photo: AP / David Goldman
[VIDEO]: Tens Of Thousands Visit Website Offering Alternative To U.S. Should Trump Win
Edit WorldNews.com 22 Feb 2016
RT.com reports on the new venture. – WN.com, Jack Durschlag....
photo: AP / Carlos Osorio
Prosecutor Says Uber Driver Admitted To Fatal Shooting Spree
Edit WorldNews.com 22 Feb 2016
An Uber driver charged in the fatal shootings of six people in Michigan has admitted to carrying out the attacks, a prosecutor said Monday, The Associated Press reports. Jason Dalton waived his right against self-incrimination before making the statement to authorities, Kalamazoo County Prosecutor Jeff Getting said ... Dalton appeared in court via video to hear the charges ... The murder charges carry a mandatory life sentence ... Saturday....
photo: AP
U.S., Russia Agree To Syrian Ceasefire At UN, Await Warring Parties To Sign Accord By Friday
Edit WorldNews.com 22 Feb 2016photo: AP / Jae C. Hong
The Establishment vs. Bernie Sanders
Edit Huffington Post 22 Feb 2016
Say what you will about this strange election season, but at least it's been a lesson in clarity. The citizenry are at last getting an unobstructed view of the ugly, powerful forces destroying their republic. And if the view isn't pretty, at least we now know where we stand ... But few people could have anticipated the viciousness with which the liberal establishment has now set upon Bernie Sanders ... And that's genuinely shocking ... Bush ... ....
photo: Public Domain
Report: Radioactive Material Stolen In Iraq Discovered Dumped Near Zubair Gas Station
Edit WorldNews.com 22 Feb 2016
Officials were relieved to discover radioactive material stored in a laptop-sized case that went missing in Iraq has been discovered near a gas station in the southern town of Zubair, ending speculation it might have been acquired by ISIL forces and used as a weapon, Al Jazeera reported. Officials told Reuters the material was undamaged and there were no concerns about radiation exposure, the report said ... – WN.com, Jack Durschlag....
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Helicity is the only integral invariant [Mathematics]>
Edit PNAS 11 Feb 2016
We prove that any regular integral invariant of volume-preserving transformations is equivalent to the helicity. Specifically, given a functional ℐ defined on exact divergence-free vector fields of class C1 on a compact 3-manifold that is associated with a well-behaved integral kernel, we prove that ℐ is invariant under arbitrary volume-preserving... ....
Discovering Propellantless Propulsion (2)
Edit Huffington Post 02 Nov 2015
In part 1 of this article I had suggested that a gravitational field can be structured into three parts, the source, the field & the field effect as determined by the massless g=tau.c^2 ... The wrap field engine design should allow for two field properties, field modulation, and field vectoring ... Field vectoring is the ability to modify the field direction and therefore, the direction of this acceleration....
The use of mathematics in French philosophy, part 4
Edit The Examiner 01 Nov 2015
"These tendencies are represented by singularities in the vector field, and as Deleuze notes, despite the fact that the precise nature of each singular point is well defined only in the phase portrait (and by the form the trajectories take in its vicinity), the existence and distribution of these singularities is already completely given in the vector (or direction) field....
The use of mathematics in French philosophy, part 5
Edit The Examiner 01 Nov 2015
"regularities displayed by the possible trajectories are a consequence of the singularities that shape the vector field ... To leave the vector field out of our ontological analysis (that is, to make it into an auxiliary construction or yet another useful fiction) hides the real source of the regularities or propensities in the population of actual histories"(DeLanda)....
The use of mathematics in French philosophy, part 6
Edit The Examiner 01 Nov 2015
As DeLanda notes, however, only establishes the existence of state space constraints. It does not, however, justify attributing to these constraints a distinct modal status ... Nevertheless, "despite the fact that the nature of singularities is well defined only in the phase portrait of a system, their existence and distribution is already given in the vector field, where they define overall flow tendencies for the vectors ... Thus DeLanda.....
New Toolkit Brings Publication-Quality Plots to NI LabVIEW High-quality graphs and plots can now be made directly from the block diagram
Edit PR Newswire 08 Jun 2015
The Toolkit provides a library of 33 new LabVIEW Sub-VIs for use in users' projects. They provide a wide range of graphing routines, from line, scatter, bar and polar plots to more complex visualizations including contours, streamlines, vector fields, math text and alpha-blending transparency. "We're tremendously excited to bring these advanced features to the LabVIEW platform," said Mr ... About Heliosphere Research ... ... ....
DTU Space leads Danish research results in 2014 (DTU - Danmarks Tekniske Universitet)
Edit noodls 06 Jan 2015
Two of DTU Space's professors, Nils Olsen and John Leif Jørgensen, spearhead the project, to provide the scientific data analysis and to build the sensitive Vector Field Magnetometer (VFM) that makes the measurements. Early results, presented for the first time in 2014, show that the mission is capable of delivering data that can ......
Truckee Tahoe Airport District chooses VNOMS by Vector Airport Systems and INDMEX Aviation for NextGen NOMS - The Truckee Tahoe Airport selected VNOMS as its NextGen NOMS solution for operations and noise monitoring -
Edit PR Newswire 30 Jun 2014
The VNOMS system, co-developed by Vector and INDMEX, is the only system in the industry that leverages the latest surveillance technologies, including FAA NextGen, multilateration and flight plan data, along with Vectors on-field Aircraft Identification System to help airports track and monitor aircraft operations, manage noise complaints and generate complete and accurate aircraft operation reports ... www.vector-us.com....
Swarm reveals Earth’s changing magnetism
Edit European Space Agency 19 Jun 2014
The first set of high-resolution results from ESA’s three-satellite Swarm constellation reveals the most recent changes in the magnetic field that protects our planet ... June 2014 magnetic field ... But in other areas, such as the southern Indian Ocean, the magnetic field has strengthened since January ... Earth's magnetic field ... Swarm’s core instrument – the Vector Field Magnetometer – was provided by the Technical University of Denmark....
Business news for the week of April 19
Edit STL Today 19 Apr 2014
HIGHER EDUCATION Travis Niklich, 36, has earned international recognition for his custom-made pool cue business, Black Creek Cues, based in his home in Smithton ... Luo has achieved international recognition in the field of nonlinear dynamics with his theory of flow barrier vector fields ... Luo currently serves as an editor for four prominent journals in his field, as well as a book series ... LAW ENFORCEMENT ... FINANCIAL ... ACCOUNTING ... C.J ... SERVICE ... ....
Key Signature of the Big Bang's Origin Discovered
Edit Sky & Telescope 17 Mar 2014
UPDATE MARCH 17. All the rumors were true. The story below was written yesterday, before today's announcement that "primordial B-waves" have been found in the cosmic background radiation ... BICEP-2 Project. MARCH 16 ... S&T; ... S&T; ... Microwave polarisation can be broken down into two modes using a Helmholtz decomposition which splits a vector field into a sum of two parts. The E-mode whose vector curl is zero, and the B-mode whose divergence is zero....
Proof of Inflationary Universe To Be Announced Monday?
Edit Sky & Telescope 16 Mar 2014
Cosmic searches at the South Pole. The BICEP-2 Telescope is the up-facing dish at right. The larger white dish is the South Pole Telescope (SPT), and the building is the Dark Sector Laboratory ... J. Dana Hrubes ... Microwave polarisation can be broken down into two modes using a Helmholtz decomposition which splits a vector field into a sum of two parts. The E-mode whose vector curl is zero, and the B-mode whose divergence is zero ... Stay tuned ... ....
Cyclone Lusi: Warning issued for Auckland region
Edit Otago Daily Times 14 Mar 2014
Cloud is building and skies have started to darken in northern areas of the country as ex Tropical Cyclone Lusi bears ever closer ... Cyclone expected tonight ... Vector ... Meanwhile, electricity company Vector has warned customers to be prepared for the possibility of outages as a result of the wild weather ... Vector's field crews had been put on alert and all efforts would be made to respond to any outages as soon as possible ... (Source. Vector) ... ....
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