Brian McLogan
Graphing a quadratic by converting to vertex form
👉 Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Brian McLogan
Learn how to solve equation using double angle formula
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Examples of removable and non removable discontinuities to find limits
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump...
Curated Video
Evaluate the impact of an AI application used in the real world. (case study) : Working with Flower Images: Case Study - Part 14
From the section: CNN-Industry Live Project: Playing With Real World Natural Images. This section includes a live project of working with flower images. CNN-Industry Live Project: Playing With Real World Natural Images: Working with...
Institute for New Economic Thinking
Is Our Economic System and Academic Establishment Fit to Deal with Climate Change? - Andre Wilkens
Andre Wilkens, the director of Stiftung Mercator, says that the current economic systems may not be capable of dealing of long-term issues such as climate change. Interviewed by Daniel Erasmus at King's College, April 2010.
Curated Video
Solving Single Digit by Multidigit Multiplication Using the Distributive Property
In this lesson, students will learn how to solve single digit by multidigit multiplication problems using the distributive property. The distributive property is a useful trick that makes arithmetic and algebraic math problems easier to...
Brian McLogan
How to use the Remainder Theorem with Polynomials
How to use the Remainder Theorem with Polynomials
Brian McLogan
Solving a logarithmic equation with two extraneous solutions
👉 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
How to write the domain of a rational function
👉 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
How to Graph a Piece Wise Function with Transformations
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
How to complete the square to identify the vertex of a parabola
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
Brian McLogan
Learn step by step to convert from rectangular form to polar form
Learn step by step to convert from rectangular form to polar form
Brian McLogan
Evaluate the integral with e as the lower bound
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Curated Video
Finding Polynomial Equations Using Zeros
In this lesson, students will learn how to mathematically model an arched bridge by finding a second degree polynomial equation using the zeros of its graph. They will understand how to determine the X intercepts and the line of...
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
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? • Learn why matrix inversion is useful • See how to invert a matrix numerically • Learn how expensive matrix inversion is
Brian McLogan
Find the Multiplicity and Zeros of a Polynomial when It is in Factored Form
👉 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
👉 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
👉 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, ....