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13 Jun 2019 23:37:47 UTC
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Multiplying complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy
Multiplying Complex Numbers
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/e/multiplying_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/complex-conjugates?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/v/factoring-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
...
https://www.youtube.com/watch?v=cWn6g8Qqvs4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/e/multiplying_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/complex-conjugates?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/v/factoring-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
...
https://www.youtube.com/watch?v=cWn6g8Qqvs4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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FREE
free-energy-of-formation-applications-of
The standard free energy of formation of a substance is the free energy change that occurs when 1 mole of the substance is formed from its constituent elements in their standard states. A pure element in its standard state has a standard free energy of formation of zero. For any chemical reaction, the standard free energy change is the sum of the standard free energies of formation of the products minus the sum of the standard free energies of formation of the reactants. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:applications-of-thermodynamics/x2eef969c74e0d802:gibbs-free-energy-and-thermodynamic-favorability/v/free-energy-of-formation
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help!
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https://www.youtube.com/watch?v=9igPBrHMnCc
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VIDEO
E AND
e-and-compound-interest-interest-and
Sal introduces a very special number in the world of math (and beyond!), the constant e.Created by Sal Khan.
Watch the next lesson:
https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-as-limit?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest/v/payday-loans?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
Finance and capital markets on Khan Academy: This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously.
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.
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https://www.youtube.com/watch?v=BKGx8GMVu88
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
TYPES
types-of-forces-and-free-body-diagrams
Sal defines and compares tension, weight, friction and normal forces using free body diagrams.
View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-forces-newtons-laws/introduction-to-forces-and-free-body-diagrams-ap/v/types-of-forces-and-free-body-diagrams?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1
AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics.
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today!
Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc
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https://www.youtube.com/watch?v=MaabUHLIIXA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
BAILO
bailout-6-getting-an-equity-infusion
The bank gets bailed out by an equity infusion from a sovereign wealth fund.
More free lessons at: http://www.khanacademy.org/video?v=jDNalKBb3aA
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https://www.youtube.com/watch?v=jDNalKBb3aA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
INTRO
introduction-to-radians-unit-circle
Understanding the definition and motivation for radians and the relationship between radians and degrees
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/radians-on-the-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry
Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/rotation-by-radians-and-quadrants?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry
Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/reciprocal-trig-functions/v/example-using-trig-to-solve-for-missing-information?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry
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https://www.youtube.com/watch?v=EnwWxMZVBeg
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
VITAM
vitamin-c-and-the-limeys
Sal and Dr. David Agus talk about the history of Scurvy and Vitamin C
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https://www.youtube.com/watch?v=Mp9II8MmuoA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
POTEN
potential-energy-stored-in-a-spring-work
Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/spring-potential-energy-example-mistake-in-math?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/intro-to-springs-and-hooke-s-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
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.
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https://www.youtube.com/watch?v=eVl5zs6Lqy0
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VIDEO
ALGEB
algebraic-expression-adding-fractions
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/e/nested-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/v/algebraic-expressions-with-fraction-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-3-exercise-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
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https://www.youtube.com/watch?v=w7NhLkQynS8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
DIVIS
division-using-understanding-of-place
Make division problems easier by thinking about place value and using the distributive property.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/e/division-using-place-value-understanding?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/area-models-to-visualize-division-using-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/dividing-3-digit-by-1-digit-without-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade
Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.)
...
https://www.youtube.com/watch?v=xUjRwepN7dk
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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