Hi there! Today I have released Lesson 63 of my Calculus 3 series. In this lesson we learn about an application of double integrals!
Specifically you will learn:
- How to find the mass of a planar lamina with variable density
- How to find the first moments & center of mass for a lamina using do...
Hi there! Today I have released Lesson 62 of my Calculus 3 series. In this lesson we learn how to find the volume between two surfaces.
Specifically you will learn:
- How to find the region for a solid formed by intersecting surfaces
- How to setup a double integral to find the volume between tw...
Hi there! Today I have released Lesson 61 of my Calculus 3 series. In this lesson we learn about a new way to solve double integrals!
Specifically you'll learn:
- Why and when you will want to use polar coordinates to solve double integrals
- How to setup and evaluate double integrals in polar c...
Hi there! Today I have released Lesson 60 of my Calculus 3 series. In this lesson we learn about the average value of multivariable functions!
In particular, we'll cover:
- A review of the average value of a single variable function
- How to find the average value of a multivariable function
Hi there! Today I have released Lesson 59 of my Calculus 3 series. In this lesson we continue learning about double integrals!
Specifically you will learn:
- How to setup the bounds of integration for double integrals over rectangular and non-rectangular regions (Fubini's Theorem)
- How to calc...
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:
- How to integrate a multivariable function with respect to each independent variable
- How to evaluate double integrals that are already s...
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:
- The connection between volume approximation a...
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...
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:
- Words & phrases that refer to inequality signs
- How to translat...
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:
- Where the method of Lagrange multipliers for optimization comes from and why it works
- H...
