Using our toolkit to take some inverse Laplace Transforms
Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/dirac-delta-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations
Missed the previous lesson?
https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-the-unit-step-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations
Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.
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.
...
https://www.youtube.com/watch?v=BbqbvSig6Mc
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Access to education is life-changing. Change a life. Give today:
https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc
Anjali lives with her family in a one-room tenement in India and dreams of changing the world. Learn how she’s using Khan Academy to do that.
...
https://www.youtube.com/watch?v=VltFqtzwS6o
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/precalc-matrices/inverting_matrices/e/matrix_determinant_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-3x3-part-1-calculating-matrix-of-minors-and-cofactor-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-3x3-matrix-method-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
...
https://www.youtube.com/watch?v=u00I3MCrspU
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Learn about several of the pre-Columbian civilizations that emerged around the Andes in/near modern-day Peru.
Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/civilizations-in-the-americas/v/mayans-and-teotihuacan
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
...
https://www.youtube.com/watch?v=3yb1jBTwMeI
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Another example applying Green's Theorem
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/constructing-a-unit-normal-vector-to-a-curve?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-example-1?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.
...
https://www.youtube.com/watch?v=sSyPAAyL8nQ
Note: All Khan Academy content is available for free at (www.khanacademy.org)
We can use the strategy of completing the square to solve quadratic equations even when the solutions aren't integers.
...
https://www.youtube.com/watch?v=Ldp9_K3L4Q8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Given the graph of a skydiver's altitude, Sal finds the average rate of change in altitude over a given time interval.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/e/average-rate-of-change-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/v/average-rate-of-change-with-function-notation-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/v/average-rate-of-change-from-table-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
...
https://www.youtube.com/watch?v=-6EqUILZ1yw
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Complex numbers can be represented three ways on the complex plane: cartesian coordinates, radius and angle, and exponential form.
...
https://www.youtube.com/watch?v=wbEEWmJFDVg
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/seq_induction/geometric-sequence-series/e/geometric-series--1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
...
https://www.youtube.com/watch?v=i8THsl3AYFI
Note: All Khan Academy content is available for free at (www.khanacademy.org)