Hi there! Today I have released Lesson 81 of my Calculus 3 series. In this lesson you will learn about parametric surfaces!

Specifically you will learn:

1. How to represent surfaces with parametric equations
2. How to represent parametric surfaces with vector functions
3. How to eliminate the parame...

Hi there! Today I have released Lesson 80 of my Calculus 3 series. In this lesson we learn about Green's Theorem!

Specifically you will learn:

1. What is Green's Theorem and where it comes from
2. How to use Green's Theorem to evaluate line integrals
3. How to find area using line integrals (with th...

Hi there! Today I have released Lesson 79 of my Calculus 3 series. In this lesson you will learn about The Fundamental Theorem of Line Integrals!

In particular you will learn about:

1. Independence of Path for conservative vector fields
2. How to use The Fundamental Theorem of Line Integrals (FTOL...

Hi there! Today I have released Lesson 78 of my Calculus 3 series. In this lesson you'll learn about line integrals in differential form.

Specifically you will learn:

1. Where the differential form of line integrals comes from
2. How to setup and evaluate line integrals when in differential form u...

Hi there! Today I have released Lesson 77 of my Calculus 3 series. In this lesson you'll learn about line integrals of vector fields!

In particular you will learn:

1. What the line integral of a vector field represents
2. How to setup and evaluate line integrals when given a path and a vector fiel...

Hi there! Today I have released Lesson 76 of my Calculus 3 series. In this lesson we begin learning about a new type of integral – the line integral!

In particular you will learn:

1. What a line integral represents
2. How to setup and evaluate a scalar line integral (2D and 3D)

I hope you find ...

Hi there! Today I have released Lesson 75 of my Calculus 3 series. In this lesson we learn how to find a potential function of a conservative vector field!

Specifically you will learn:

1. How to find a potential function of a 2D vector field
2. How to find a potential function of a 3D vector field...

Hi there! Today I have released Lesson 74 of my Calculus 3 series. In this lesson we learn about one more characteristic of vector fields!

Specifically you will learn:

1. What makes a vector field "conservative"
2. How to check if a 2D vector field is conservative
3. How to check if a 3D vector fiel...

Hi there! Today I have released Lesson 73 of my Calculus 3 series. In this lesson we learn about another characteristic of vector fields – the divergence!

In particular you will learn:

1. What is the divergence?
2. How to find the divergence of a vector field
3. How to interpret the divergence

I ...

Hi there! Today I have released Lesson 72 of my Calculus 3 series. In this lesson we begin learning about the characteristics of vector fields – the first being the curl!

In particular you will learn:

1. What is the curl?
2. How to find the curl of a vector field
3. How to interpret the curl vector
...