Algebra Lesson 7: Intro to Equations & Solutions Mar 21, 2025

Hi there! Today I have released the seventh lesson of my Algebra series. In this lesson we learn how to determine if a number is a solution to an equation.

Specifically, you will learn:

  1. What makes a number a solution of an equation
  2. How to check if a number is a solution of an equation

I h...

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Calculus 3 Lesson 35: Torsion of Space Curves Mar 17, 2025

Hi there! Today I have released Lesson 35 of my Calculus 3 series. In this lesson we learn about torsion of space curves!

In particular you will learn about:

  1. What is torsion?
  2. How to find torsion of space curves
  3. How to describe the change in TNB frames using curvature and torsion (Frenet-Ser...
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Algebra Lesson 6: Verbal Variable Expressions Mar 12, 2025

Hi there! Today I have released the sixth lesson of my Algebra series. In this lesson we learn how to translate verbal expressions into variable expressions.

Specifically, you will learn:

  1. The common words & phrases for addition, subtraction, multiplication, division, and powers
  2. How to transl...
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Calculus 3 Lesson 34: Osculating Circles & Planes Mar 07, 2025

Hi there! Today I have released Lesson 34 of my Calculus 3 series. In this lesson we learn about osculating circles and planes!

In particular you will learn about:

  1. What are osculating circles?
  2. How to find the radius of curvature
  3. How to find equations of osculating & normal planes

I hope ...

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Algebra Lesson 5: The Distributive Property & Simplifying Variable Expressions Mar 03, 2025

Hi there! Today I have released the fifth lesson of my Algebra series. In this lesson we learn how to simplify variable expressions using the distributive property.

Specifically, I cover the following:

  1. What is the distributive property?
  2. How to simplify variable expressions by using the distr...
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Calculus 3 Lesson 33: TNB Frames (Frenet-Serret) Feb 26, 2025

Hi there! Today I have released Lesson 33 of my Calculus 3 series. In this lesson we learn about TNB frames, which describe the heading, turning, and twisting of space curves!

In particular you will learn about:

  1. What are TNB frames?
  2. How to find the unit tangent, normal, and binormal vectors
  3. ...
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Algebra Lesson 4: Multiplication Properties & Simplifying Variable Expressions Feb 21, 2025

Hi there! Today I have released the fourth lesson of my Algebra series. In this lesson we learn how to simplify variable expressions using the properties of multiplication.

Specifically, I cover the following:

  1. The 5 Properties of Multiplication (Commutative, Associate, Zero, Identity, Inverse...
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Calculus 3 Lesson 32: Curvature of Space Curves Feb 17, 2025

Hi there! Today I have released Lesson 32 of my Calculus 3 series. In this lesson we learn about curvature of space curves!

In particular we will cover:

  1. The mathematical definition of curvature (change in tangent with respect to arc length!)
  2. The different formulas for calculating curvature o...
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Algebra Lesson 3: Addition Properties & Combining Like Terms Feb 12, 2025

Hi there! Today I have released the third lesson of my Algebra series. In this lesson we learn how to simplify variable expressions using the properties of addition and combining like terms.

Specifically, I cover the following:

  1. The 4 Properties of Addition (Commutative, Associate, Identity, I...
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Calculus 3 Lesson 31: Arc Length Parameterization Feb 07, 2025

Hi there! Today I have released Lesson 31 of my Calculus 3 series. In this lesson we learn about parameterizing space curves using their arc length!

In particular you will learn about:

  1. What the arc length parameter is, and what it represents
  2. How to find the arc length function for a space cu...
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