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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Calculus 3 Lesson 28: Smooth Intervals of Space Curves Dec 18, 2024

Hi there! Today I have released Lesson 28 of my Calculus 3 series. In this lesson we learn about smooth intervals of curves represented by vector functions!

Specifically, you will learn about:

  1. What makes a curve smooth or not smooth
  2. How to use the derivative of vector functions to find smoot...
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Calculus 3 Lesson 27: Tangent Vectors Dec 13, 2024

Hi there! Today I have released Lesson 27 of my Calculus 3 series. In this lesson we learn about tangent vectors and some of their uses.

In particular you will learn about:

  1. How to find a tangent vector at a point on a vector function
  2. How to find tangent lines in 3D for space curves
  3. How to f...
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Calculus 3 Lesson 26: Derivatives of Vector-Valued Functions Dec 09, 2024

Hi there! Today I have released Lesson 26 of my Calculus 3 series. In this lesson we learn about derivatives of vector-valued functions!

In particular you will learn about:

  1. The limit definition of the derivative of vector functions
  2. How to find derivatives of vector functions
  3. The derivative ...
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Calculus 3 Lesson 25: Limits & Continuity of Vector-Valued Functions Nov 25, 2024

Hi there! Today I have released Lesson 25 of my Calculus 3 series. In this lesson we learn about limits and continuity of vector-valued functions!

In particular you will learn about:

  1. How to evaluate limits of vector functions
  2. How to use limits to determine continuous points for vector functi...
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