1×1 mit Dreiecken lernen, 1×1 with Triangles (Anki)

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Anki is a flashcard tool which incorporates sophisticated research to maximize your study efficiency. You can import public “decks” of flashcards, such as this one. Cards are customizable! When this deck is imported into the desktop program, cards will appear as if you made them yourself. About this Flashcard Deck… Das 1×1 mit einpr√§gsamen Dreiecken […]

1x1imDreieck Learning the Tables with Triangles (Anki)

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Anki is a flashcard tool which incorporates sophisticated research to maximize your study efficiency. You can import public “decks” of flashcards, such as this one. Cards are customizable! When this deck is imported into the desktop program, cards will appear as if you made them yourself. About this Flashcard Deck… I did this work to […]

Alternate coordinate systems (bases) (Khan Academy)

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We explore creating and moving between various coordinate systems. (1) Orthogonal complements Orthogonal complements dim(v) + dim(orthogonal complement of v) = n Representing vectors in rn using subspace members Orthogonal complement of the orthogonal complement Orthogonal complement of the nullspace Unique rowspace solution to Ax = b Rowspace solution to Ax = b example (2) […]

Vectors and spaces (Khan Academy)

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Let’s get our feet wet by thinking in terms of vectors and spaces. (1) Vectors Vector intro for linear algebra Real coordinate spaces Adding vectors algebraically & graphically Multiplying a vector by a scalar Vector examples Scalar multiplication Unit vector notation Unit vectors Add & subtract vectors Add vectors: magnitude & direction to component Parametric […]

Derivative applications (Khan Academy)

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The reason we study calculus, and the reason it was invented, is for its many uses in real-world problems. In particular, derivatives let us optimize functions and study their rates of change. Here we cover optimization, rates of change, L’Hopital’s rule, the mean value theorem, and more! (1) Equations of normal and tangent lines Equation […]

Trigonometric equations and identities (Khan Academy)

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Learn how to solve trigonometric equations and how to use trigonometric identities to solve various problems. (1) Trig identity reference Trig identity reference (2) The inverse trigonometric functions Intro to arcsine Intro to arctangent Intro to arccosine Evaluate inverse trig functions Restricting domains of functions to make them invertible Domain & range of inverse tangent […]

The unit circle definition of sine, cosine, and tangent (Khan Academy)

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Learn how the trigonometric ratios are extended to all real numbers using algebra. Start solving simple problems that involve this new definition of the trigonometric functions. (1) Introduction to radians Intro to radians Radians & degrees Degrees to radians Radians to degrees Radians & degrees Radian angles & quadrants (2) The unit circle definition of […]

Trigonometry with general triangles (Khan Academy)

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Learn how to use trigonometry in order to find missing sides and angles in any triangle. (1) The law of sines Solving for a side with the law of sines Solving for an angle with the law of sines Solve triangles using the law of sines Proof of the law of sines (2) The law […]

Trigonometry with right triangles (Khan Academy)

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Learn the basics of trigonometry: What are sine, cosine, and tangent? How can we use them to solve for unknown sides and angles in right triangles? (1) Introduction to the trigonometric ratios Sides of right triangles Intro to the trigonometric ratios Trigonometric ratios in right triangles Trigonometric ratios in right triangles Trigonometric ratios in right […]

Geometric constructions (Khan Academy)

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We now have fancy computers to help us perfectly draw things, but have you ever wondered how people drew perfect circles or angle bisectors or perpendicular bisectors back in the day. Well this tutorial will have you doing just as your grandparents did (actually, a little different since you’ll still be using a computer to […]