Khan Academy: The Building Blocks of Algorithms

An analysis of the breadth-first search algorithm and its uses is presented.

The advantages and security risks of "Smart" uses of technology in buildings, transportation, and grids are discussed.

Video solving for the shortest distance between a point and a plane by building from the previous video where the normal vector to the plane is found. Distance is calculated by finding the dot product of the vector from the given point...

Video builds upon the column spaces and null spaces of the 2x3 matrix and its transpose found in the previous video. Uses them to explain some relationships between the four fundamental subspaces, namely that the orthogonal complement of...

Video about the Gram-Schmidt process which is used to create an orthonormal basis from any basis. First an orthonormal basis is created in one dimension by normalizing the vector and then in two dimensions by building on the...

Video introducing surface integrals by building on the partial derivatives of vector-valued functions from the previous video and showing how to visualize a surface integral. Surface area is found by taking the magnitude of the cross...

Video showing how to take the partial derivatives of a generalized vector-valued function by taking the partial derivative of each part of the function. Video is meant as a build-up to the videos on surface integrals. [10:07]

Explains how to solve a word problem regarding the amount of time it takes for a ball to hit the ground after being shot off a building by using the quadratic formula to find solutions to the given equation. [5:53]

An introduction to the most basic building block for programming motion--the vector. In JavaScript referring to a Euclidean vector defined as an entity that has both magnitude and direction.

Learners are invited to express algorithms in their everyday life, sports, games and apps.