Curated Video
High Performance Scientific Computing with C 1.5: Linear Equations and Matrix Methods
How can we invert a matrix? How fast can we do it? β’ Learn why matrix inversion is useful β’ See how to invert a matrix numerically β’ Learn how expensive matrix inversion is
Curated Video
Considerations for Expanding Overseas as a Business
The video discusses the challenges and considerations that arise when a business considers expanding into overseas markets. The speaker highlights the example of Tesco's failed attempt to expand into the United States and emphasizes the...
Curated Video
Introduction to Finding Derivatives
This video explains the concept of finding the derivative or instantaneous rate of change for non-linear graphs by using the gradient of the tangent. The speaker demonstrates the process through examples and explains the general formula...
Catalyst University
Coagulation | The Intrinsic Pathway of Coagulation
Coagulation | The Intrinsic Pathway of Coagulation
Brian McLogan
Find the Multiplicity and Zeros of a Polynomial when It is in Factored Form
π Learn how to find all the zeros of a factored polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the...
Flipping Physics
Everybody Brought Mass to the Party!
Find out when mass cancels out from an equation, which it often will in physics problems.
Institute for New Economic Thinking
Economics Not Close to Pushing the Power of Computers and Data Sets - J Doyne Farmer
J. Doyne Farmer, professor at the Santa Fe Institute, notes that data sets in economics research are not nearly as complicated as those generated in other sciences. Interviewed by Peter Leyden at King's College, April 2010.
Brian McLogan
The value k that makes the piecewise function continous
π Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Brian McLogan
Learn to use induction to prove that the sum formula works for every term
π Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
Completing the square to identify the foci center and vertices of an ellipse
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Curated Video
CompTIA Security+ Certification SY0-601: The Total Course - Enabling Multifactor Authentication
Multifactor authentication (MFA) hardens user sign-in by requiring more than one factor, or category of authentication, such as something you know combined with something you have. This clip is from the chapter "Identity and Account...
Brian McLogan
Midpoint riemann sum approximation
π Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
How to find the value that makes a piecewise function continuous
π Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
Learn to determine the points where a function is non differentiable
π Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Brian McLogan
Solving using the quadratic formula with complex solutions
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Catalyst University
Fick's First Law (2): Flux and Concentration Gradient With Example #1
Fick's First Law (2): Flux and Concentration Gradient With Example #1
Brian McLogan
Solving logarithmic equations with extraneous solution
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Solving a logarithmic equation using the quadratic formula
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
In General form find the foci, vertices and center of an ellipse
Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...
Brian McLogan
Learning to write the domain of a rational function with an asymptotes and hole
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Quadratic Equations | Solve by factoring | Free Math Videos
Quadratic Equations | Solve by factoring | Free Math Videos
Brian McLogan
Learn to evaluate the limit of the absolute value function
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value...
Brian McLogan
Applying the difference of two squares to solve a quadratic
πLearn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...