Hi there! Today I have released Lesson 32 of my Calculus 3 series. In this lesson we learn about curvature of space curves!
In particular we will cover:
- The mathematical definition of curvature (change in tangent with respect to arc length!)
- The different formulas for...
Hi there! Today I have released the third lesson of my Algebra series. In this lesson we learn how to simplify variable expressions using the properties of addition and combining like terms.
Specifically, I cover the following:
- The 4 Properties of Addition (Commutative,...
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:
- What the arc length parameter is, and what it represents
- How to find the arc length...
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:
- How to evaluate variable expressions by "plugging in" known values
- How to simplify the value of variable...
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:
- The formula for arc length of vector functions
- How to find the arc length of space curves
This...
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
- Identifying the...
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
- ...
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...
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...
