- Physical MathematicsThis section covers the mathematical foundations necessary for understanding physics. It is structured in sets of seperate topics, most of these topics can be learnt in different orders. Don't worry if you'd like to jump straight to the physics, most of the math will be covered in the some of the courses. This will come in handy mainly when doing problems and solving puzzles. You may select interesting topics you'd like to learn here:Slices of physics
- (Requisites: none)
- Difficulty level: Casual
This section brings together various topics of physics, the goal of this section is to not include cumbersome mathematics and focus on the core concepts of classical physics. It is a standalone course.Basic Mechanics- (Requisites: Physical Mathematics: Vectors and Scalars)
- Difficulty level: Beginner
This section covers the fundamental principles of mechanics, including motion, forces, energy, and momentum. You'll find interactive simulations to visualize concepts like Newton's laws of motion, kinematics, and dynamics.Classical Mechanics- (Requisites: Basic Mechanics)
- Difficulty level: Intermediate
This section delves into the topics of analytic mechanics, providing a different viewpoint on classical mechanics with the Lagrangian and Hamiltonian formulation. In here, we will rebuild mechanics from the ground up using a fundamental law of the universe, the principle of least action.Special Relativity- (Requisites: Basic Mechanics)
- Difficulty level: Intermediate
When objects travel near the speed of light we get very different results than what we expect from our daily kinematics. Distances start to shrink and time starts to slow down. The study of special relativity reveals these counterintuitive effects.Classical field theory- (Requisites: Classical Mechanics, Special Relativity)
- Difficulty level: Advanced
Classical field theory is essentially an extension of classical mechanics, focusing on the concept of fields and their interactions. Topics include the principles of field theory and it's application in electromagnetism.Statistical mechanics- (Requisites: Classical Mechanics, Probability and Statistics)
- Difficulty level: Advanced
When dealing with the dynamics of multiple bodies, the usual methods of classical mechanics become very difficult to apply . Due to this, when dealing with many particles, we must resort to statistical methods to describe their behavior using partition functions and approximations. This is the study of statistical mechanics.Quantum Mechanics- (Requisites: basic mechanics)
- Difficulty level: Intermediate
The study of the smallest increments (quantities) of the universe can be very complicated. It requires a deep understanding of the mathematics and physical intuition of how we describe states of a system. Although it is usually the case that analytic mechanics is required to understand quantum mechanics, we will try a different approach. Through this course we will try to derive the classical laws of motion from quantum mechanics.General Relativity- (Requisites: Special Relativity, Classical field theory)
- Difficulty level: Advanced
Some people consider general relativity to be Einstein's masterpiece, his greatest discovery in physics. Although he didn't win a Nobel prize for this, it is related to one of the biggest mysteries in physics, the theory of quantum gravity. General relativity will cover a more general case of special relativity. While special relativity requires inertial frames of reference, general relativity will cover non inertial frames of reference and gravity.
Quantum Field theory- (Requisites: Quantum mechanics, Classical field theory)
- Difficulty level: Advanced
Quantum field theory is believed to be the current most accurate description of the universe. It is also notorious for its complexity and the mathematical sophistication required to understand it fully. Although it seems daunting, this course will provide a nice cushioned introduction to the key concepts and techniques used in quantum field theory.