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Videos uploaded by user “Khan Academy” for the Январь 2017
Addressing treating differentials algebraically | AP Calculus AB | Khan Academy
 
04:44
Addressing treating differentials algebraically. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/e/separable-differential-equations-find-the-error?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-examples?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 61988 Khan Academy
Jacobian prerequisite knowledge
 
09:22
Before jumping into the Jacobian, it's important to make sure we all know how to think about matrices geometrically. This is targetted towards those who have seen linear algebra but may need a quick refresher.
Views: 82309 Khan Academy
Local linearity for a multivariable function
 
05:23
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
Views: 32453 Khan Academy
Pre Columbian Americas  | World History | Khan Academy
 
07:42
Overview of the population and civilizations in the Americas over the past 6 thousand years. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 118470 Khan Academy
Sanskrit connections to English  | World History | Khan Academy
 
09:31
How Sanskrit is connected to Latin, English and other European languages. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/ancient-india/v/hinduism-introduction-core-ideas-of-brahman-atman-samsara-and-moksha Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/history-beginnings/ancient-india/v/introduction-to-the-vedic-period World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 200831 Khan Academy
Worked example: identifying separable equations | AP Calculus AB | Khan Academy
 
04:57
Separable equations can be written in the form dy/dx=f(x)g(y). See how we analyze various differential equations to see if they are separable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/e/identify-separable-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/v/finding-constant-of-integration-rational?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-examples?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 62335 Khan Academy
Fall of the Roman Empire | World History | Khan Academy
 
11:28
From the 3rd to the 5th centuries, the Roman Empire gets divided and less stable. The Western Roman Empire considered to end in 476 with control of Italy by Odoacer. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire-survey/v/ara-pacis-augustae-altar-of-augustan-peace-13-9-b-c-e-rome Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire-survey/v/emperors-of-pax-romana World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 102847 Khan Academy
The Jacobian matrix
 
06:22
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
Views: 151818 Khan Academy
The Jacobian Determinant
 
08:53
How to interpret the determinant of a Jacobian matrix, along with some examples.
Views: 81151 Khan Academy
History and prehistory | The Origin of Humans and Human Societies | World History | Khan Academy
 
10:48
How do we know what we know about prehistory, the time before the invention of writing? Sal explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/history-beginnings/origin-humans-early-societies/e/knowing-prehistory-exercise Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/origin-humans-early-societies/v/peopling-the-earth World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 483741 Khan Academy
The Hittite Empire and the Battle of Kadesh | Early Civilizations | World History | Khan Academy
 
13:16
Who were the Hittites, and why was iron so important to them? Sal covers the history of the Hittite Empire, a civilization in Asia Minor that was among the first peoples to master ironworking. Iron tools, weapons, and chariots gave the Hittites a decisive advantage in combat, and it enabled them to conquer and hold territory. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/hittites World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 85413 Khan Academy
Emperors of Pax Romana | World History | Khan Academy
 
08:12
Starting with the reign of Augustus and ending with the reign of Marcus Aurelius, the Pax Romana is a relatively stable 200 year period. The first five emperors are of the Julio-Claudia Dynasty. The last five of the Pax Romana are considered the "good" emperors by Machiavelli. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire-survey/v/fall-of-the-roman-empire World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 54312 Khan Academy
Paul and the apostles Christianity | World History | Khan Academy
 
14:34
After Jesus, the two most significant figures in Christianity are the apostles Peter and Paul/Saul. Paul, in particular, takes a leading role in spreading the teachings of Jesus to Gentiles (non Jews) in the Roman Empire. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/roman-empire-and-christianity Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/jesus-christ-and-christianity World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 54281 Khan Academy
Introduction to the Vedic Period  | World History | Khan Academy
 
08:12
From the Vedas, the oldest known Hindu scriptures, scholars have learned about the existence of the Vedic period in ancient Indian history that followed the Indus River Valley civilization. Sal explains more about this early society. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/sanskrit-connections-to-english World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 148252 Khan Academy
Origins of agriculture  | World History | Khan Academy
 
11:27
How, why, and when did agriculture first emerge, and what were its implications on human society? Sal explains in an overview. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/history-beginnings/birth-agriculture-neolithic-revolution/e/where-did-agriculture-come-from-exercise- Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/birth-agriculture-neolithic-revolution/v/how-did-agriculture-grow World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 150864 Khan Academy
Indus Valley Civilization  | Early Civilizations | World History | Khan Academy
 
10:43
The Indus River Valley (or Harappan) civilization lasted for 2,000 years, and extended from what is today northeast Afghanistan to Pakistan and northwest India. Sal explores the history of this civilization, its technological innovations, its art, its architectural practices, and its agriculture. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/indus-valley World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 221059 Khan Academy
Computing a Jacobian matrix
 
03:53
This finishes the introduction of the Jacobian matrix, working out the computations for the example shown in the last video.
Views: 50734 Khan Academy
Ancient Mesopotamia | Early Civilizations | World History | Khan Academy
 
09:24
Why is Mesopotamia considered the "cradle of civilization"? Sal explains the history of the early empires on the Tigris and Euphrates rivers. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/mesopotamia Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/v/ancient-mesopotamia World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 279310 Khan Academy
Worked example: slope field from equation | AP Calculus AB | Khan Academy
 
03:03
Given a differential equation in x and y, we can draw a segment with dy/dx as slope at any point (x,y). That's the slope field of the equation. See how we match an equation to its slope field by considering the various slopes in the diagram. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/example-of-steps-for-constructing-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/differential-equation-from-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 68450 Khan Academy
Roman Empire and Christianity | World History | Khan Academy
 
06:10
Overview of the changing relationship between the Roman Empire and Christianity from the time of Jesus to the reign of Theodosius. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/e/key-concepts--roman-culture Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/paul-apostles-christianity World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 77360 Khan Academy
Worked example: exponential solution to differential equation | AP Calculus AB | Khan Academy
 
04:27
The solution of the general differential equation dy/dx=ky (for some k) is C_e__ (for some C). See how this is derived and used for finding a particular solution to a differential equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-exp-models/e/exponential-model-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/area-under-rate-net-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-exp-models/v/particular-solution-given-initial-conditions-for-population?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 45546 Khan Academy
Ancient Egypt | Early Civilizations | World History | Khan Academy
 
14:16
Ancient Egypt was an early example of a massive civilization spanning thousands of years. Sal explains this history in an overview. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/egypt-exercises World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 168400 Khan Academy
Writing a differential equation | Differential equations | AP Calculus AB | Khan Academy
 
02:19
Differential equations describe relationships that involve quantities and their rates of change. See how we write the equation for such a relationship. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-intro/e/write-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-intro/v/differential-equation-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 157063 Khan Academy
Jesus Christ and Christianity | World History | Khan Academy
 
15:08
An overview of the life and teachings of Jesus Christ and the birth of Christianity. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/paul-apostles-christianity World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 129479 Khan Academy
Worked example: recognizing function from Taylor series | Series | AP Calculus BC | Khan Academy
 
04:26
Sample AP Calculus question asking to recognize a function from its Taylor series. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/e/maclaurin-series-for-sin-x--cos-x--and-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/visualizing-taylor-series-approximations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/evaluating-power-series-for-mystery-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 18221 Khan Academy
Ancient China | Early Civilizations | World History | Khan Academy
 
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At the end of the Mythic Period of China's history, the Xia dynasty gave way to the Shang Dynasty… if the Xia really existed at all! Sal gives an overview of the Xia, Shang, and Zhou Dynasties—societies that lived between the Yellow and Yangtze Rivers—and discusses their cultural practices, their bronzeworking, and the origins of a Chinese identity. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/ancient-china World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. 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: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 135167 Khan Academy
Worked example: separable equation with an implicit solution | Khan Academy
 
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Sometimes the solution of a separable differential equation can't be written as an explicit function. This doesn't mean we can't use it! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/e/separable-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/creating-a-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/v/particular-solution-to-differential-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 46702 Khan Academy
Worked example: range of solution curve from slope field | AP Calculus AB | Khan Academy
 
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Given the slope field of a differential equation, we can sketch various solutions to the equation. In this example, we analyze the range of a specific solution. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/e/slope-fields-and-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-exp-models/v/modeling-population-with-simple-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/slope-field-to-visualize-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 47798 Khan Academy
Worked example: forming a slope field | AP Calculus AB | Khan Academy
 
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Given a differential equation in x and y, we can draw a segment with dy/dx as slope at any point (x,y). That's the slope field of the equation. See how we determine the slopes of a few segments in the slope field of an equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/slope-field-to-visualize-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/identifying-slope-field-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 55029 Khan Academy
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We exceeded our 2016 fundraising goal thanks to your generosity and the dedication of so many students, parents, and teachers. Thank you!​
Views: 81017 Khan Academy

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