Interested in learning both physics and advanced mathematics at the same time? What if there was a resource that combined them both to give you the tools you need specifically for understanding physics?
Mathematics is the language in which physics is described - ANYONE wanting to learn classical mechanics, electromagnetism, relativity or any other physics topic needs to master the math first.
Perhaps you'd actually like to go beyond a surface-level understanding of physics and truly learn it.
However, there is just one common issue...
Most math is taught in an abstract and unpractical way that doesn't emphasize its applications to physics enough - leaving you wondering "what am I ever going to use this knowledge for?"
Personally, I understand the struggle of learning advanced physics way too well - everything is so filled with high-level math concepts, it's nearly impossible to NOT get overwhelmed.
At least this is how it felt like when I was a beginner.
But the thing is... all I really lacked was just the right resource that would've taught me exactly what I needed to know.
This is what a good resource will do for you; it will have you take a step back and distill everything into what you actually need to learn.
The surprising fact is that mastering physics is actually simple - at least that's what it feels like when you find the right resource.
BUILD A DEEP UNDERSTANDING OF PHYSICS WITHOUT GETTING OVERWHELMED BY ALL THE MATH
That's why this course exists - to give you a complete resource for learning exactly what you need for understanding advanced physics.
Price includes taxes. Additional purchase options, such as payment in parts, are also available at checkout depending on your country.
What This Course Will Do For You
My goal with this course is simple.
It is to teach you the mathematical tools underlying all of physics in a way that leaves you to wonder "wow, that was actually easier than I thought!".
I also want to make this course as accessible as possible.
From my own experience, I've found that there is a huge barrier to entry on learning the "cool" subjects in physics - general relativity, quantum mechanics, cosmology, particle physics and so on.
That's why I've built this course in a way that enables you to learn these topics even if you're not a math wizard to begin with - this is a very beginner-friendly course with a low barrier to entry.
However, the things you learn in this course are not just basic cookie-cutter physics and math. After this course, you'll specifically be able to:
Understand real physics and do actual calculations from scratch, beyond what you see in popular science
Learn the required math to tackle any advanced physics subject you are interested in
Build the tools to understand advanced physics textbooks and the modern mathematics used in them
Here's Exactly What You Get
The course contents are structured into three high-level parts, each one consisting of lessons, examples and worksheets:
Part 1: Physics With Calculus - this part, formatted as a 96-page self-contained book, introduces you to the very basics of calculus and calculus-based physics. Here, the goal is for you to master working with coordinate systems, bases, vectors, derivatives and integrals - all in the context of physics.
Part 2: Vector Calculus - this part will build on top of the concepts you learned in Part 1, first covering multivariable calculus and partial derivatives. After this, you'll get to dive deep into more advanced topics in vector calculus. We also look at how all of this can be applied to advanced electromagnetism and Maxwell's equations.
Part 3: Calculus of Variations - this part will teach you calculus of variations, an area of math that has tons of direct applications in Lagrangian mechanics, quantum field theory and general relativity. You'll also get to see dozens of practical applications and examples in mechanics, optics and differential geometry.
Along with the main lesson materials, you will also get:
- Workbooks with lots of practice problems for you to do. These include the Physics With Calculus Workbook, the Vector Calculus Workbook and the Calculus of Variations Workbook (as well as Tensor Calculus Worksheets).
- Solution manuals that include step-by-step solutions to every problem in the workbooks
- The Vector Calculus For Physics -cheatsheet (a downloadable eBook) that includes all the important stuff like formulas and key ideas from Part 2
All lesson material is available in downloadable PDF format, so you can easily print them out or view offline.
The key theme throughout the course is applications for physics. That's why each lesson shows many examples of how a given concept appears in physics.
I'm also a huge fan of explaining ideas through visualization. That's why in each lesson, you'll find many diagrams, pictures and even animations like these to help you get an intuitive feel for a given concept.
Bonus: Full Access To My Mathematics of General Relativity: A Complete Course
In addition to everything from above, you'll get access to my Mathematics of General Relativity: A Complete Course, which I am currently working on and adding new lessons to.
This is a full course that aims to teach you everything you need to know to understand one of the most famous theories in modern physics: Einstein's general relativity.
Note that the Mathematics of General Relativity -course is not fully ready yet and includes only three lessons so far, but there will be more in the near-future.
This course will teach you two key subjects that general relativity is based on:
- Tensor Calculus: This forms the basis for all the math that general relativity uses. We'll cover topics including tensor index notation, coordinate transformations, Jacobian matrices, covectors, one-forms, metric tensors, Christoffel symbols as well as detailed tutorials on tensor manipulation and working with tensor equations in general.
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Differential Geometry: This is where we apply the tools of tensor calculus to understand differential geometry - the area of math that general relativity uses to describe gravity. The plan for this part of the course is not ready yet, and it will take a while before all of the content is added here.
There are also worksheets that include solved practice problems for each lesson.
This course is exactly the resource I wish I had along my own physics journey - and you can have it today!
In case you have any questions about the course, feel free to contact me at [email protected].