SciShow
The Hamster That Saved Thousands of COVID Patients
Forget lab rats — meet the Chinese or striped-back hamster, an unassuming little rodent whose role in research over the years has led to breakthroughs in genetics, pharmaceutics and more!
TED-Ed
TED-Ed: What is a vector? - David Huynh
Physicists, air traffic controllers, and video game creators all have at least one thing in common: vectors. But what exactly are they, and why do they matter? David Huynh explains how vectors are a prime example of the elegance, beauty,...
Curated Video
Gravitational Superposition Principle Made Simple | Force from Multiple Masses & Extended Bodies Explained
Learn how to calculate gravitational force on a particle due to multiple masses using the principle of superposition. This lesson breaks down vector addition, force from extended bodies using integrals, and how to apply Newton’s law of...
Curated Video
Newton's Law of Universal Gravitation | Inverse Square Law and Force Formula
Master Newton’s law of universal gravitation through intuitive explanations, real-world examples, and full vector analysis. Learn how to calculate gravitational force, understand the inverse square law, and apply Newton’s third law in...
Curated Video
Translating objects
Pupil outcome: I can translate objects from information given in a variety of forms. Key learning points: - It can be helpful to choose a vertex and translate that. - Once all the vertices have been translated, the image can be drawn. -...
Curated Video
Dividing vectors into ratios
Pupil outcome: I can solve geometric problems in 2D where vectors are divided in a given ratio. Key learning points: - A vector can be divided into parts using a ratio. - By converting the ratio to a fraction, you can express each part...
Curated Video
Subtraction with vectors
Pupil outcome: I can find the difference between vectors. Key learning points: - Vectors can be subtracted. - This can be done when the vectors are in column form. - Subtraction can be done when the vectors are drawn.
Curated Video
Advanced problem solving with vectors
Pupil outcome: I can use my knowledge of vectors to solve problems. Key learning points: - Drawing a diagram can make things clearer. - Adding to an existing diagram can make things clearer. - It can be helpful to start with what you...
Curated Video
Problem solving with vectors
Pupil outcome: I can use my knowledge of vectors to solve problems. Key learning points: - Drawing a diagram can make things clearer. - Adding to an existing diagram can make things clearer. - It can be helpful to start with what you...
Curated Video
Checking and securing understanding of translations
Pupil outcome: I can describe a translation using column notation and carry out the translation of a point. Key learning points: - It can be helpful to choose a vertex and translate that. - Once all the vertices have been translated, the...
Curated Video
Fluency in arithmetic procedures with vectors
Pupil outcome: I can carry out arithmetic procedures on vectors and draw the resultant vector. Key learning points: - More than one operation may be seen. - Priority of operations still apply. - Constructing all the vectors can help when...
Curated Video
Algebraic vector notation
Pupil outcome: I can represent information graphically given algebraic vector notation. Key learning points: - A letter can be used to represent a vector. - Each unique vector is assigned a unique letter.
Curated Video
Column vectors
Pupil outcome: I can represent information graphically given column vectors. Key learning points: - When translating, the entire shape moves. - Although the point moves, the journey is not drawn. - A vector can be drawn to show this...
Curated Video
Addition with vectors
Pupil outcome: I can sum vectors. Key learning points: - Vectors can be added. - This can be done when the vectors are in column form. - Addition can be done when the vectors are drawn.
Curated Video
Identifying multiple transformations
Pupil outcome: I can identify what transformations have taken place. Key learning points: - More than one transformation may have taken place. - If the size has changed, one shape may be an enlargement of the other. - If the orientation...
Curated Video
Multiple transformations
Pupil outcome: I can carry out multiple transformations on a shape. Key learning points: - A shape can be transformed more than once. - The first transformation is performed on the object. - The second transformation is performed on the...
Curated Video
Checking and securing understanding of translation
Pupil outcome: I can describe a translation and perform a given translation on an object. Key learning points: - It can be helpful to choose a vertex and translate that. - Once all the vertices have been translated, the image can be...
Curated Video
Describing a translation
Pupil outcome: I can understand the minimum information required to describe a translation. Key learning points: - A translation can be described in terms of left/right and up/down. - To be more precise, it is useful to have a scale to...
Curated Video
Investigating transformations with GeoGebra
Pupil outcome: I can investigate transformations using dynamic software Key learning points: - Dynamic software is a tool that can be used to explore transformations. - There are many benefits to using this tool. - Different...
Curated Video
Investigating transformations with Desmos
Pupil outcome: I can investigate transformations using dynamic software Key learning points: - Dynamic software is a tool that can be used to explore transformations. - There are many benefits to using this tool. - Different...
Curated Video
Angular Momentum of a Particle: Definition and Relation to Torque
This content defines angular momentum (ℓ) for a particle as the cross product of its position vector (r) and linear momentum (p), i.e., ℓ=r×p=m(r×v). It clarifies that angular momentum is a vector quantity defined with respect to a...
Professor Dave Explains
Further Matrix Decompositions: LU, Cholesky, QR, and SVD
We've learned about matrix diagonalization, which is a type of matrix decomposition. There are some others that we must learn, including LU decomposition, Cholesky decomposition, QR decomposition, and singular value decomposition. Let's...
Professor Dave Explains
Exact First-Order Differential Equations
We've looked at a few simple examples of first-order differential equations and how to solve them. Now let's take a look at exact first-order differential equations.
Curated Video
What Are Vector Databases
Vector databases are rapidly growing in popularity as a way to add long-term memory to LLMs like GPT-4, LLaMDA, and LLaMA. Learn how popular vector databases like Pinecone and Weaviate can store ML embeddings to integrate with tools like...