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ProfPenfound
Math & Math Education
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24 Following
Canada
https://fullstackcalculus.com
January 10, 2018
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pencentre
mathematics
7y
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 starting matrix. The Gaussian
$ 0.024
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2
pencentre
mathematics
7y
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 operations we can perform
$ 0.132
2
1
pencentre
steemiteducation
7y
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 will explore exactly what
$ 0.148
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2
pencentre
math
7y
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 set AxB of ordered pairs
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3
pencentre
mathematics
7y
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 within another set. In this
$ 0.214
4
pencentre
math
7y
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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5
1
pencentre
math
7y
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 sets (natural numbers, integers,
$ 0.133
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pencentre
math
7y
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 is important. ▶️ DTube
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pencentre
math
7y
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
mat
7y
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 series, we will connect these
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1
pencentre
math
7y
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 statements. Why are they important?
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pencentre
logic
7y
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. How do we know whether or
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pencentre
math
7y
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 find out! ▶️ DTube ▶️ IPFS
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pencentre
existential
7y
Logic & Proof: Quantifiers
Learn how to deal with statements involving existential and universal quantifiers. ▶️ DTube ▶️ IPFS
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2
pencentre
mathematics
7y
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 build up to compound and
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