Curated Video
Mastering Swift 2 Programming (Video 50)
Swift 2 is a multi-paradigm programming language that has expressive features familiar to modern functional languages, and does not forget the object-oriented features of Objective-C. Things that took a block of code in Objective-C are...
Brian McLogan
Evaluate the derivative using the definition of derivative limit notation
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Apply the properties of logs to simplify an expression
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Learn how to take the fourth derivative of a polynomial
👉 Learn how to find the higher derivative of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function...
Brian McLogan
What is exponential and logarithmic form
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Scientific notation
👉 Learn how to convert numbers from scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero...
Brian McLogan
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
Why we use interval notation?
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Understanding limit notation
👉 Learn about the limit of a 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 limit of a function is said to exist if the...
Brian McLogan
Evaluate the limit to infinity of a graph to determine end behavior
👉 Learn how to evaluate the limit of a function from the graph of the 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. When...
KnowMo
Introduction to Vectors: Magnitude, Direction, and Operations
The video discusses vectors and how they describe movement along and up or down. The different notations for vectors are explained, including when a coordinate plane is not available. The concepts of magnitude and direction in vectors...
Packt
Counting Operations
This video explains counting operations in data structures. This clip is from the chapter "Big O Notation" of the series "Data Structures and Algorithms: The Complete Masterclass".This section introduces you to big O notation in data...
Brian McLogan
How to write the domain of a rational function with a radical in the numerator
👉 Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function,...
Brian McLogan
Writing the domain of a rational function with a radical in the denominator
👉 Learn how to find the domain of rational functions with a radical denominator. 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...
Why U
Pre-Algebra 02 - Roman Numerals, Sign-Value vs Positional Notation
Roman numerals are an ancient base-10 natural number system. Understanding Roman numerals (a sign-value notation) can shed light on our modern number system which uses positional notation.
Brian McLogan
How to convert scientific notation in real numbers
👉 Learn how to convert numbers from scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero...
Brian McLogan
Converting scientific notation
👉 Learn how to convert numbers from scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero...
Brian McLogan
Domain of a rational function write in interval notation
👉 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 write the domain of a radical function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
How to write a number from scientific notation as a whole number
👉 Learn how to convert numbers from scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero...
Brian McLogan
Composing a linear function into a quadratic linear function
Composing a linear function into a quadratic linear function
Curated Video
Introduction to Exponents
In this video, students learn how to use exponents to write numerical expressions. The teacher explains that exponents are used to indicate the number of times a base number is repeated as a factor in multiplication. The video emphasizes...
Catalyst University
Quantum Mechanics | Commutation of Operators [Example #1]
In this video, I do one example for determining whether or not two quantum operators commute [kinetic energy & momentum (x-dir)]. ***Next example (Example #2): https://youtu.be/3XX__CV8ks8