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...
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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...
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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...
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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 ...
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Calculus 3 Lesson 24: Space Curves & Vector-Valued Functions Nov 18, 2024

Hi there! Today I have released Lesson 24 of my Calculus 3 series. In this lesson we learn about space curves and vector-valued functions.

Specifically, you will learn about:

  1. What are vector-valued functions?
  2. How to determine the domain of vector functions
  3. How to sketch...
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Calculus 3 Lesson 23: Spherical Coordinates Nov 08, 2024

Happy Friday! Today I have released Lesson 23 of my Calculus 3 series. In this lesson we learn about another alternate 3D coordinate system: the spherical coordinate system.

In particular you will learn about:

  1. What coordinates make up a set of spherical coordinates
  2. How to convert...
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Calculus 3 Lesson 22: Cylindrical Coordinates Oct 31, 2024

Hi there! Today I have released Lesson 22 of my Calculus 3 series. In this lesson we learn about an alternate 3D coordinate system known as the cylindrical coordinate system.

In particular you will learn about:

  1. How to plot points in the cylindrical coordinate system
  2. How to ...
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Calculus 3 Lesson 21: Surfaces of Revolution in 3D Space Oct 25, 2024

Happy Friday!

Today I have released Lesson 21 of my Calculus 3 series. In this lesson we learn about another special group of surfaces in 3D space known as surfaces of revolution!

Specifically you will learn about:

  1. How to find the equation of a surface of revolution in 3D space
  2. ...
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Calculus 3 Lesson 20: Quadric Surfaces in 3D Space Oct 16, 2024

Hi there! Today I have released Lesson 20 of my Calculus 3 series. In this lesson we learn about a special group of surfaces in 3D space known as quadric surfaces!

In particular you will learn about:

  1. The 6 different types of quadric surfaces
  2. How to recognize each type of quadric...
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