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:
- What are Variables?
- What are Terms and Variable Expressions?
- Classifying the Terms of a Variable Expression
- Identifyin...
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:
- How to solve indefinite integrals of vector functions
- How to solve definite integrals of vector functions
- How to solve initial v...
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 ...
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:
- What makes a curve smooth or not smooth
- How to use the derivative of vector functions to find smoot...
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:
- How to find a tangent vector at a point on a vector function
- How to find tangent lines in 3D for space curves
- How to f...
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:
- The limit definition of the derivative of vector functions
- How to find derivatives of vector functions
- The derivative ...
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:
- How to evaluate limits of vector functions
- How to use limits to determine continuous points for vector functi...
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:
- What are vector-valued functions?
- How to determine the domain of vector functions
- How to sketch plane/space curves f...
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:
- What coordinates make up a set of spherical coordinates
- How to convert between sph...
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:
- How to plot points in the cylindrical coordinate system
- How to convert cylindrica...
