Classical Physics: Journey Through the Laws of the Universe
Component I: As you embark on your journey, you'll first learn to fluently speak the language of Classical Physics / Lagrangian Mechanics: Calculus of Variations. This mathematical framework involves finding stationary points to "functionals", using your new favorite equation: the Euler-Lagrange Equation. Not only will this mathematical language allow us to explore and understand Classical Physics principles, but it can also be used to derive catenary curves - which are extensively utilized throughout architecture and civil engineering.
Component II: Once you've learned to fluently speak this intriguing language, you'll then put it to use to peer beneath the surface of reality. In this portion of your journey, we're going to explore the basic tenets of Lagrangian Mechanics I Classical Physics, which govern all behavior throughout the universe. Some essential ideas you'll discover include the Principle of Least Action, Lagrangian, and Lagrange's Equations of Motion. Component III: ACTIONABLE knowledge is the true source of power and influence though, right? That's why this journey was also designed to instantly apply your new skills and use them practically. Once you've mastered the basic principles of the universe, you'll first apply these beautiful theories to tackle an assortment of classic problems. Some examples we'll work through together include the Brachistochrone Problem, straightforward problems involving Simple Harmonic Motion (SHM), and more challenging problems such as chaotic motion with double pendulums. You'll also have a chance to work through your own examples/problems to test your comprehension and address any gaps in knowledge.
Component IV: At this point, you'll be a master of the universe; not only will you understand how it works and operates, but you'll also have experience applying that understanding to problems. So, in the final component of your journey, you'll get an opportunity to fully unleash your new skills' potential. You're going to develop your own practical applications: simulations similar to those powering your favorite video games and animated movies! First, we'll focus on computational algorithms (such as the Finite Difference Approximation, Runge-Kutta Method, and ODE45) for solving complex equations of motion. Then, you'll learn how to program them into MATLAB and bring your simulations to life. As you journey through this component of the course, you'll run through 5 full-fledged walkthroughs on developing real-world simulations - where we walk you through the entire process step-by-step and ensure full comprehension.
At the end of your journey, you will have peered beneath the surface of reality, understood how the universe works and operates, and applied your newfound physics knowledge to develop real-world applications. You'll be a master of the universe who knows how to utilize his/her understanding, and that alone will make you shine in the STEM industry or effortlessly excel in-class.
So, feel free to explore our comprehensive curriculum or preview videos, and I look forward to seeing and working with you inside the course. I can't wait to guide you along the same journey which personally made me love physics, engineering, and mathematics:)!
Here's what some of my YouTube subscribers had to say about the course's content:
"Well, you just blew my mind. I seriously can't thank you enough. I'm learning this in Classical Mechanics and I was having some difficulty understanding it. I am totally recommending this to my classmates! Thanks once more, I will keep watching your next videos!" - Ip
"This is what i can't help but say after finishing watching your explanation: 'Dude.you are awesome! You actually got me to do some calculus solving! It's hard to make someone who despises a subject into getting interested and curious about it. But you managed to pull it off on me!'" - Yassa Moin
"This is what I need - A HIGH ENERGY LECTURER who claps his hands to get my attention!:-) Too many old men droning on in the rest of youtube lectures. Something like this is engaging and keeps you awake :-)!" -Hugh Jones
"As a retiree,finally finding time in life to start learning beautiful maths from a young man like you is very gratifying! You are tearing it up kid! Bravo!" -Blue StarFractal
"Thank you very much for this lesson. The enthusiasm and feeling for a clear explanation is very impressive." -FA Videos
"What I liked best about the video is that you first spent time explaining the intuition behind converting the problem (from, say, cartesian space) to a more abstract space and finding the solution there. Explaining such philosophy greatly helps put things in context as it answers what question really we are trying to answer. Following the content becomes much easier then. If you are not doing that in other videos, please do so :)!
TBH I was a bit skeptical about following through the whole video because I'd like to think I understand problems best when there is a geometrical intuition behind it, and have run away from any kind of analytical math all my life (even though I understood geometrical intuition behind complex calculus operations I'd still fail terribly in exams because I have a problem stating the questions analytically). This video helped me change my perspective. I wish I had teachers like you in college!
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