👉 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...

👉 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...

👉 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...

Composite Functions

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...

This video explains counting operations in data structures.
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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...

👉 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,...

👉 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...

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.

👉 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...

👉 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...

👉 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...

👉 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...

👉 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...

Composing a linear function into a quadratic linear function

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...

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)

👉 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...

The video discusses the different notations used to calculate the gradient of a function or the instantaneous rate of change of a function. The presenter first summarizes the previous lecture on the function, FX, and how it relates to...

👉 Learn how to write the rule of a sequence given a sequence of numbers. 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. To write the explicit formula of...

👉 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...

An in-depth look at using for loops in combination with iterables and generators along with list comprehension
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This clip is from the chapter "Python in-depth" of the series "Python 3: Project-based Python, Algorithms, Data...

This video explains the concept of big O(n) complexity.
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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...

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...