Hi there! Today I have released Lesson 85 of my Calculus 3 series. In this lesson we learn about the Divergence Theorem!
Specifically you will learn:
- What is a simple closed surface?
- How to use the Divergence Theorem to find flux of surfaces bounding solid regions
I hope you enjoy this n...
Hi there! Today I have released Lesson 84 of my Calculus 3 series. In this lesson we learn about flux integrals!
Specifically you will learn:
- What is a flux integral?
- How to solve flux integrals for non-parametric & parametric surfaces
- How to determine the orientation of a surface
I hope...
Hi there! Today I have released Lesson 83 of my Calculus 3 series on Youtube. In this lesson we learn about surface integrals!
In particular you will learn:
- How to solve surface integrals for non-parametric surfaces
- How to solve surface integrals for parametric surfaces
I hope you find th...
Hi there! Today I have released Lesson 82 of my Calculus 3 series. In this lesson we learn about tangent planes and surface area of parametric surfaces!
Specifically you will learn:
- How to find normal vectors of parametric surfaces
- How to find tangent planes for parametric surfaces
- How to f...
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:
- How to represent surfaces with parametric equations
- How to represent parametric surfaces with vector functions
- 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:
- What is Green's Theorem and where it comes from
- How to use Green's Theorem to evaluate line integrals
- 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:
- Independence of Path for conservative vector fields
- 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:
- Where the differential form of line integrals comes from
- 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:
- What the line integral of a vector field represents
- 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:
- What a line integral represents
- How to setup and evaluate a scalar line integral (2D and 3D)
I hope you find ...