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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Algebra Lesson 2: Evaluating Variable Expressions Feb 03, 2025

Hi there! Today I have released the second lesson of my Algebra series. In this lesson we learn how to evaluate variable expressions!

Specifically, I cover the following:

  1. How to evaluate variable expressions by "plugging in" known values
  2. How to simplify the value of variable expressions usin...
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Calculus 3 Lesson 30: Arc Length of Space Curves Jan 29, 2025

Hi there! Today I have released Lesson 30 of my Calculus 3 series. In this lesson we learn how to find the arc length of space curves!

Specifically, you will learn about:

  1. The formula for arc length of vector functions
  2. How to find the arc length of space curves

This lesson is a bit on the ...

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Algebra Lesson 1: Intro to Variable Expressions Jan 24, 2025

Hi there! Today I have released the first lesson of my Algebra series. In this lesson we introduce variables and variable expressions!

Specifically, I cover the following:

  1. What are Variables?
  2. What are Terms and Variable Expressions?
  3. Classifying the Terms of a Variable Expression
  4. Identifyin...
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Calculus 3 Lesson 29: Integration of Vector-Valued Functions Jan 20, 2025

Hi there! Today I have released Lesson 29 of my Calculus 3 series. In this lesson we learn how to integrate vector-valued functions!

In particular you will learn:

  1. How to solve indefinite integrals of vector functions
  2. How to solve definite integrals of vector functions
  3. How to solve initial v...
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JK Math in 2025 (Update) Jan 17, 2025

Happy New Year!

I'm almost ready to return to regularly posting new tutorial videos to Youtube, but first, I wanted to let you know my overarching goal and rough plans for 2025.

In 2024 I uploaded a little over 40 videos, which was a huge decrease from the previous two years where I made over 100 ...

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