Getting a feel for slope and y-intercept
More free lessons at: http://www.khanacademy.org/video?v=Nhn-anmubYU
https://www.youtube.com/watch?v=Nhn-anmubYU
Sal interprets the expression P(5) minor P(9) where P models the number of people at the beach over time.
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https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/e/function-notation-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.youtube.com/watch?v=94Gnto5G1PU
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Problems 1-6 starting on page 803
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https://www.youtube.com/watch?v=GZOp27tWARg
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An example using the least squares solution to an unsolvable system
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Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
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=8mAZYv5wIcE
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#TeacherAppreciationWeek is every week for the Khan Academy team. Our gratitude for everything our teachers have taught us fuels us daily.
#TeacherAppreciationWeek #ThankATeacher
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https://www.youtube.com/watch?v=6bwsF_bEISU
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4X4 matrices can define transformations of the 4D space. In this worked example, we see how to find the image of a given 4D vector under the transformation defined by a given matrix.
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https://www.youtube.com/watch?v=Foy8cAMqnAo
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Expensing a truck leads to strange looking income statement. Created by Sal Khan.
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https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/depreciating-the-truck?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
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Finance and capital markets on Khan Academy: How do you account for things that get "used up" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable.
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=0E3PuHiDU9U
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Thinking about a rational quantity of juice to produce
Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-revenue-below-average-total-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics
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Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course
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=xGkE0oHyNhk
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Keep going! Check out the next lesson and practice what you’re learning:
https://www.khanacademy.org/humanities/grammar/syntax-sentences-and-clauses/subjects-and-predicates/e/identifying-subject--direct-object--and-indirect-object
A subject is the noun phrase that drives the action of a sentence; in the sentence “Jake ate cereal,” Jake is the subject. The direct object is the thing that the subject acts upon, so in that last sentence, “cereal” is the direct object; it’s the thing Jake ate. An indirect object is an optional part of a sentence; it’s the recipient of an action. In the sentence “Jake gave me some cereal,” the word “me” is the indirect object; I’m the person who got cereal from Jake.
Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/identifying-subject--direct-object--and-indirect-object
Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/dangling-modifiers-syntax-khan-academy
Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/subjects-and-predicates-syntax-khan-academy
Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics.
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=OSE3OiRGlgE
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