Prealgebra 3.01b - Proper and Improper Fractions
Proper and improper fractions, how they are represented numerically and visually, and fractions with a denominator of 1.
From playlist Prealgebra Chapter 3 (Complete chapter)
Quadratic Identities (4 of 4: Partial Fractions)
More resources available at www.misterwootube.com
From playlist Working with Functions (related content)
Prealgebra Lecture 4.3: How to Multiply and Divide Fractions
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.3: Multiplying and Dividing Fractions
From playlist Prealgebra (Full Length Videos)
Prealgebra 4.3a - Complex Fractions
Complex Fractions. What they are, and one technique for simplifying them.
From playlist Prealgebra Chapter 4 (Complete chapter)
Reciprocal Identities in Trigonometry (Precalculus - Trigonometry 9)
How the reciprocal identities in trigonometry work and how to use them. The major focus will be on connecting the ideas of a Unit circle with Right Triangle Trigonometry. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
Overview of fractions - free math help - online tutor
š Learn how to understand the concept of fractions using parts of a whole. Fractions are parts of a whole and this concept can be illustrated using bars and circles. This concept can also be extended to understand equivalent fractions. When a whole bar is divided into, say, two equal parts
From playlist Learn About Fractions
Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities
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From playlist Reciprocal, Quotient, Negative, and Pythagorean Trigonometric Identities
Prealgebra Lecture 4.7: Operations With Mixed Number Fractions
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.7: Operations With Mixed Number Fractions
From playlist Prealgebra (Full Length Videos)
Lie Groups and Lie Algebras: Lesson 43 Group Theory Review #2 (improved video quality)
Lie Groups and Lie Algebras: Lesson 43 Group Theory Review #2 In this lecture we examine a great way of becoming familiar with the smaller groups: the subgroup lattice. We use this to remind ourselves about normal subgroups, cyclic subgroups, and the center of a group. Errata!: The norma
From playlist Lie Groups and Lie Algebras
Cyclic Groups -- Abstract Algebra 7
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From playlist Abstract Algebra
Lie Groups and Lie Algebras: Lesson 44 Group Theory Review #3 (corrected!)
Lie Groups and Lie Algebras: Lesson 44 Group Theory Review #3 This is a corrected version of a previous upload. In the earlier version I ridiculously stated that cyclic subgroups were normal. I don't know what came over me, that is certainly NOT true. What is true is that if a group is a
From playlist Lie Groups and Lie Algebras
Lagrange's Theorem and Index of Subgroups | Abstract Algebra
We introduce Lagrange's theorem, showing why it is true and follows from previously proven results about cosets. We also investigate groups of prime order, seeing how Lagrange's theorem informs us about every group of prime order - in particular it tells us that any group of prime order p
From playlist Abstract Algebra
Visual Group Theory, Lecture 4.5: The isomorphism theorems
Visual Group Theory, Lecture 4.5: The isomorphism theorems There are four central results in group theory that are collectively known at the isomorphism theorems. We introduced the first of these a few lectures back, under the name of the "fundamental homomorphism theorem." In this lectur
From playlist Visual Group Theory
Visual Group Theory, Lecture 5.3: Examples of group actions
Visual Group Theory, Lecture 5.3: Examples of group actions It is frequently of interest to analyze the action of a group on its elements (by multiplication), subgroups (by multiplication, or by conjugation), or cosets (by multiplication). We look at all of these, and analyze the orbits,
From playlist Visual Group Theory
Group theory 15:Groups of order 12
This lecture is part of an online mathematics course on group theory. It uses the Sylow theorems to classify the groups of order 12, and finds their subgroups.
From playlist Group theory
No simple groups of order 66 or 144.
We look at an "advanced" group theory problem that uses Sylow's Theorems to show that there are no simple groups of order 66 or 144. Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespri
From playlist Assorted Group Theory
Why Normal Subgroups are Necessary for Quotient Groups
Proof that cosets are disjoint: https://youtu.be/uxhAUmgSHnI In order for a subgroup to create a quotient group (also known as factor group), it must be a normal subgroup. That means that when we conjugate an element in the subgroup, it stays in the subgroup. In this video, we explain wh
From playlist Group Theory
Prealgebra Lecture 4.2: Prime Factorization and Simplification of Fractions
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.2: Prime Factorization and Simplification of Fractions
From playlist Prealgebra (Full Length Videos)
Visual Group Theory, Lecture 3.1: Subgroups
Visual Group Theory, Lecture 3.1: Subgroups In this lecture, we begin by examining a property about Cayley graphs called "regularity" that we've hinted at but not yet spelled out explicitly. Next, we introduce the concept of a subgroup, provide some examples, and show how the subgroups of
From playlist Visual Group Theory