Calculus 3 Lesson 58: Evaluating Double Integrals Jan 27, 2026

Hi there! Today I have released Lesson 58 of my Calculus 3 series. In this lesson we begin learning about double integrals!

Specifically, this video covers:

  1. How to integrate a multivariable function with respect to each independent variable
  2. How to evaluate double integrals that are already s...
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Calculus 3 Lesson 57: Approximating Volume Under a Surface Jan 20, 2026

Hi there! Today I have released my first new video of 2026, the 57th Lesson of my Calculus 3 series! In this lesson we begin the 4th unit on Multiple Integration by learning about approximating volume under a surface.

In particular you will learn:

  1. The connection between volume approximation a...
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JK Math in 2026 (Update) Jan 19, 2026

Happy New Year!

Tomorrow I will be returning and begin easing back into a regular upload schedule of new tutorial videos for Youtube, but I first wanted to take a moment to share with you my overarching goal and rough plans for this year.

In 2026 my main goal is to finally complete my Calculus 3 s...

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Algebra Lesson 27: Verbal Inequalities Dec 15, 2025

Hi there! Today I have released the 27th lesson of my Algebra series. In this lesson we conclude the 2nd unit of Algebra on solving equations and inequalities, by learning about verbal inequalities!

In particular, you will learn:

  1. Words & phrases that refer to inequality signs
  2. How to translat...
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Calculus 3 Lesson 56: Lagrange Multipliers Dec 10, 2025

Hi there! Today I have released Lesson 56 of my Calculus 3 series. In this lesson we finish off the 3rd unit on multivariable functions by learning about Lagrange multipliers!

Specifically you will learn:

  1. Where the method of Lagrange multipliers for optimization comes from and why it works
  2. H...
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Algebra Lesson 26: Solving Compound Inequalities Dec 02, 2025

Hi there! Today I have released the 26th lesson of my Algebra series. In this lesson we continue learning how to solve basic inequalities!

In particular, you will learn:

  1. What are compound inequalities? ("or" & "and" forms)
  2. How to solving compound inequalities
  3. How to graph/plot compound ineq...
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Algebra Lesson 25: Solving Basic General Inequalities Nov 25, 2025

Hi there! Today I have released the 25th lesson of my Algebra series. In this lesson we continue learning how to solve basic inequalities!

In particular, you will learn:

  1. How to solve basic general inequalities, that involve using the addition and multiplication properties (& contain parenthes...
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Calculus 3 Lesson 55: Multivariable Optimization Problems Nov 18, 2025

Hi there! Today I have released Lesson 55 of my Calculus 3 series. In this lesson we learn how to solve multivariable optimization problems!

In particular you will learn about:

  1. What are multivariable optimization problems?
  2. How to solve multivariable optimization problems (with and without a ...
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Calculus 3 Lesson 54: Absolute Extrema for Regions in 3D Space Nov 10, 2025

Hi there! Today I have released Lesson 54 of my Calculus 3 series. In this lesson we learn about absolute extrema in regions of 3D space!

In particular you will learn:

  1. The extreme value theorem for regions in 3D space
  2. How to find absolute extrema for functions in regions of 3D space 

I ho...

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Calculus 3 Lesson 53: The Second Partials Test & Saddle Points Oct 31, 2025

Hi there! Today I have released Lesson 53 of my Calculus 3 series. In this lesson we learn about the Second Partials Test!

In particular you will learn:

  1. The formula for the Second Partials Test
  2. How to interpret the results of the Second Partials Test to identify relative extrema and saddle p...
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