• pencentre (30)in #mathematics • 7 years ago

  Linear Algebra: Gaussian Elimination

  Now that we know RREF and REF for a given matrix, and how we can apply elementary row operations, the next step is to develop a procedure to obtain either RREF or REF from a…

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• pencentre (30)in #mathematics • 7 years ago

  Linear Algebra: Elementary Row Operations

  Now that we know what a matrix is, what kind of operations can we do with them? In this video we will learn about elementary row operations, which are some of the most important…

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• pencentre (30)in #steemiteducation • 7 years ago

  Linear Algebra: RREF & REF

  So what exactly is a matrix? No, we're not talking about NEO and that beautiful trilogy - we're talking the mathematical structure that is an array of numbers. In this video we…

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• pencentre (30)in #math • 7 years ago

  Set Theory: Cartesian Product

  There are nice similarities between multiplication and an operation that we can do on sets called the Cartesian Product. Give two sets A and B, the Cartesian Product gives a new…

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• pencentre (30)in #mathematics • 7 years ago

  Set Theory: Complements

  Often it is helpful to be able to determine the elements in set A that are not a part of set B. We can do this by creating an operation called taking the complement of one set…

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• pencentre (30)in #math • 7 years ago

  Set Theory: Union & Intersection

  Is it possible to "add" two sets together? Well, kind of! We have to be a bit careful on what we mean by "add" though. In this video we will look at an operation called "union"…

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• pencentre (30)in #math • 7 years ago

  Set Theory: Subsets

  What exactly is a subset of a given set? In this video we will look at defining a subset, take a look at a set of all subsets (how crazy is that?!), and look at special number…

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• pencentre (30)in #math • 7 years ago

  Set Theory: Cardinality

  So now that know what a set is, it is important for us to be able to count the number of elements inside of a set. Watch this video to find out exactly how to do this, and why it…

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• pencentre (30)in #math • 7 years ago

  Set Theory: Venn Diagrams

  Certain counting problems can get quite tricky, especially when they use the wording like "only A", "both A and B" or "A or B". So how can we successfully translate these…

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• pencentre (30)in #mat • 7 years ago

  Set Theory: Introduction to Sets

  What exactly is a mathematical set, and what advantages are there to displaying objects in this way? In this series, we will explore basic operations on sets; and in our next…

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• pencentre (30)in #math • 7 years ago

  Logic & Proof: Conditional Statements

  So you're feeling good about simple statements and compound statements. Well, let's take it up one more notch to work with the big-boys of mathematical logic: conditional…

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• pencentre (30)in #logic • 7 years ago

  Logic & Proof: Compound Statements

  It is possible to connect two simple statements together using the connectors AND or OR. When we do this, the compound statements that we get have some interesting properties.…

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• pencentre (30)in #math • 7 years ago

  Logic & Proof: Counterexamples

  Ever wondered the logical way to find a counterexample when you know someone is wrong? This can be especially tricky if quantifiers are involved. Take a peek at this video to…

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• pencentre (30)in #existential • 7 years ago

  Logic & Proof: Quantifiers

  Learn how to deal with statements involving existential and universal quantifiers. ▶️ DTube ▶️ IPFS

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• pencentre (30)in #mathematics • 7 years ago

  Logic & Proof: Statements

  Hi everyone, Here is the first video in a series on mathematical logic. My goal is to introduce simple statements, which are the building blocks of logic. Eventually, we will…

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