I'm putting this together as the prof seems to be skipping some material. If you have any materials that I havent posted, email me (or make a pull request).
This is meant as supplemental information, and should not be a replacement for attending/watching the lectures.
I can't link the textbooks due to copyright, but I've put them in the chat, and if you can't see them, email me.
Some good general resources are:
- Dr. Trefor Bazett | Vector Calc (playlist)
- This seems to go through what we do and more, I can't vouch for the quality, but it seems decent.
- Dr. Trefor Bazett | ODE's (playlist)
- Khan Academy | Multivariable Functions
- 3B1B | Divergence and Curl
- Eugene Khutoryansky | Divergence and Curl
- Dr. Trefor Bazett | Curl or Circulation Density of a Vector Field // Vector Calculus
- Dr. Trefor Bazett | Curl, Circulation, and Green's Theorem // Vector Calculus
- Dr. Trefor Bazett | Divergence, Flux, and Green's Theorem // Vector Calculus
- Dr. Trefor Bazett | The CURL of a 3D vector field // Vector Calculus
- Steve Brunton | Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]
- Steve Brunton | The Divergence of a Vector Field: Sources and Sinks
- Steve Brunton | The Curl of a Vector Field: Measuring Rotation
- Dr. Trefor Bazett | Conservative Vector Fields // Vector Calculus
- Dr. Trefor Bazett | How to Test if a Vector Field is Conservative // Vector Calculus
- This is equivalent to testing if curl(v) = 0
- Dr. Trefor Bazett | Finding the scalar potential function for a conservative vector field // Vector Calculus
- Dr. Trefor Bazett | Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus
- Dr. Trefor Bazett | Stokes' Theorem Example // Verifying both Sides // Vector Calculus
- Professor Dave | Stokes theorem
- Dr. Trefor Bazett | The Divergence Theorem // Geometric Intuition & Statement // Vector Calculus
- Dr. Trefor Bazett | A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)
- Steve Brunton | Stokes' Theorem and Green's Theorem
- Dr. Trefor Bazett | Separation of Variables // Differential Equations
- Dr. Trefor Bazett | Newton's Law of Cooling // Separable ODE Example
- Dr. Trefor Bazett | The Geometric Meaning of Differential Equations // Slope Fields, Integral Curves & Isoclines
- Professor Leonard | Separable Differential Equations (Differential Equations 12)
- Professor Leonard | Separable Equations with Initial Values (Differential Equations 13)
- Professor Leonard | Applications with Separable Equations (Differential Equations 14)
- The Organic Chemistry Tutor | Separable First Order Differential Equations - Basic Introduction
- Separable Equations | MIT 18.03SC Differential Equations, Fall 2011
- Dr. Trefor Bazett | The Big Theorem of Differential Equations: Existence & Uniqueness
- Professor Leonard | Existence and Uniqueness of Solutions (Differential Equations 11)