Introduction
Most of my previous courses are in programming and computer science, but why not try something new?
Welcome to my physics course!
As always, here are the list of rules for the course:
As always, I included the Learning To Learn section I highly recommend you read before continuing. π
If there is any physics topic, lesson, concept, or problem you would like me to cover, please let me know by creating an issue on the GitHub repository or contacting me directly at [email protected]. I'm always open to suggestions and feedback.
Rulesβ
IF THIS TEXT IS STILL HERE, THE COURSE IS NOT FINISHED AND MAY NOT COMPLY WITH ALL OF THESE RULES YET. APOLOGIES FOR ANY INCONVENIENCE.
The following rules apply to every page and topic on this platform:
- Free, no cost at all to the user. Knowledge should only cost effort and dedication, not money.
- No advertisements or distractions whatsoever; none of the pages have ads.
- Every topic and subtopic will have its own dedicated page/document. This way users won't have to search for hours through one page to find what they need.
- Always available. Unless server outages or power surges/losses occur, this information shall be preserved. It will only be updated, never removed, and updates cannot remove a significant amount of content unless it's deemed inaccurate or flawed.
- Printable. Every page will have PDFs available to print out to use for any case where the online version isn't suitable. On top of this, a ZIP archive of every page on this website will be available to download in bulk.
- Accessible. The site will follow accessibility rules, knowledge shouldn't be inaccessible due to disabilities. This website will conform to the WCAG standards.
- Account-less. No account required. You won't have to have any form of account to access this information, the only time you'll need one is if I ever add progress tracking and custom lessons, which probably won't be for a while.
- No REQUIRED links to external tutorials and classes. There may be links to credible sources and recommended tutorials, but this course will still go over anything linked to ensure the rules above are protected and learners continue to have a free and convenient experience.
Good luck!
For AP Physics students, I have a list specifically for you.
Comprehensive Physics Topics (Beginner to Advanced)β
0. Mathematical Methods in Physicsβ
This section is numbered 0 because it is not a physics topic, but a prerequisite for understanding physics. It will cover the mathematical methods used in physics, such as calculus, linear algebra, differential equations, and complex analysis.
Read this first:
0.1. Scalars and Vectorsβ
- Definition and properties of scalars
- Definition and properties of vectors
- Vector operations (addition, subtraction, scalar multiplication)
- Dot product and cross product
- Unit vectors and vector components
0.2. Coordinate Systemsβ
0.3. Vector Calculusβ
- Vector functions
- Differentiation of vectors
- Integration of vectors
- Gradient, divergence, and curl
- Line integrals and surface integrals
0.4. Matrices and Determinantsβ
0.5. Differential Equationsβ
- Ordinary differential equations (ODEs)
- Partial differential equations (PDEs)
- Separation of variables
- Series solutions
0.6. Complex Numbersβ
0.7. Fourier Analysisβ
0.8. Probability and Statisticsβ
- Probability distributions
- Mean, median, and mode
- Standard deviation and variance
- Error analysis and propagation
0.9. Tensor Analysisβ
0.10. Numerical Methodsβ
- Numerical integration
- Root-finding algorithms
- Interpolation and extrapolation
- Finite difference methods
Each of these topics plays a crucial role in various areas of physics:
- Scalars and Vectors: Essential for describing physical quantities and their interactions.
- Coordinate Systems: Important for describing motion and fields in different geometries.
- Vector Calculus: Fundamental for electromagnetism and fluid dynamics.
- Matrices and Determinants: Used in quantum mechanics and solving systems of equations.
- Differential Equations: Crucial for describing time-dependent systems and fields.
- Complex Numbers: Important in quantum mechanics and AC circuit analysis.
- Fourier Analysis: Used in wave optics, quantum mechanics, and signal processing.
- Probability and Statistics: Essential for quantum mechanics and experimental data analysis.
- Tensor Analysis: Important for general relativity and continuum mechanics.
- Numerical Methods: Crucial for solving complex problems that lack analytical solutions.
This category will provide students with the mathematical foundation necessary to tackle advanced physics concepts and problem-solving.
1. Classical Mechanicsβ
1.1 Kinematicsβ
- Kinematics intro
- One-dimensional motion
- Two-dimensional motion
- Three-dimensional motion
- Vectors and scalars
- Displacement, velocity, and acceleration
- Projectile motion
- Relative motion
- Bonus Lesson: Four Dimensional Motion
1.2 Force and Translational Dynamicsβ
- Newton's laws of motion
- Types of forces (friction, tension, normal, etc.)
- Free-body diagrams
- Statics and equilibrium
- Dynamics of systems of particles
- Center of mass
- Impulse
1.3 Work, Energy, and Powerβ
- Work-energy theorem
- Kinetic energy
- Potential energy (gravitational and elastic)
- Conservation of energy
- Power
- Dissipative forces and energy loss
1.4 Linear Momentumβ
- Definition of momentum
- Conservation of linear momentum
- Collisions (elastic and inelastic)
- Center of mass frame
1.5 Torque and Rotational Dynamicsβ
- Torque and angular acceleration
- Moment of inertia
- Parallel axis theorem
- Rotational kinetic energy
- Angular momentum
1.6 Energy and Momentum of Rotating Systemsβ
- Rolling motion
- Conservation of angular momentum
- Precession and gyroscopes
1.7 Oscillationsβ
- Simple harmonic motion
- Pendulums (simple and physical)
- Damped oscillations
- Forced oscillations and resonance
- Coupled oscillators
1.8 Fluidsβ
- Pressure and density
- Buoyancy and Archimedes' principle
- Fluid dynamics
- Bernoulli's equation
- Viscosity and turbulence
- Surface tension and capillary action
2. Thermodynamics and Statistical Mechanicsβ
2.1 Temperature and Heatβ
- Temperature scales
- Thermal expansion
- Heat capacity and specific heat
- Heat transfer (conduction, convection, radiation)
2.2 Kinetic Theory of Gasesβ
- Ideal gas law
- Maxwell-Boltzmann distribution
- Equipartition theorem
2.3 Laws of Thermodynamicsβ
- Zeroth law
- First law (conservation of energy)
- Second law (entropy)
- Third law
2.4 Thermodynamic Processesβ
- Isothermal, adiabatic, isobaric, isochoric processes
- Carnot cycle and heat engines
- Refrigerators and heat pumps
2.5 Statistical Mechanicsβ
- Microcanonical, canonical, and grand canonical ensembles
- Partition functions
- Quantum statistics (Fermi-Dirac and Bose-Einstein)
3. Electromagnetismβ
3.1 Electrostaticsβ
- Electric charge and Coulomb's law
- Electric fields
- Gauss's law
- Electric potential
- Capacitance and dielectrics
3.2 Current Electricityβ
- Current and resistance
- Ohm's law
- DC circuits
- Kirchhoff's laws
- RC circuits
3.3 Magnetismβ
- Magnetic fields and forces
- Biot-Savart law
- Ampère's law
- Magnetic materials and hysteresis
3.4 Electromagnetic Inductionβ
- Faraday's law
- Lenz's law
- Inductance
- AC circuits and transformers
3.5 Maxwell's Equationsβ
- Gauss's law for electricity and magnetism
- Ampère-Maxwell law
- Faraday's law of induction
- Electromagnetic waves
4. Waves and Opticsβ
4.1 Wave Motionβ
- Wave equations
- Superposition and interference
- Standing waves
- Beats
- Doppler effect
4.2 Sound Wavesβ
- Sound intensity and level
- Acoustics
- Musical instruments
4.3 Geometric Opticsβ
- Reflection and refraction
- Mirrors and lenses
- Optical instruments (microscopes, telescopes)
4.4 Wave Opticsβ
- Interference
- Diffraction
- Polarization
- Dispersion and spectra
5. Modern Physicsβ
5.1 Special Relativityβ
- Postulates of special relativity
- Lorentz transformations
- Time dilation and length contraction
- Relativistic energy and momentum
- Spacetime and four-vectors
5.2 Quantum Mechanicsβ
- Wave-particle duality
- SchrΓΆdinger equation
- Quantum tunneling
- Uncertainty principle
- Quantum harmonic oscillator
- Angular momentum and spin
5.3 Atomic Physicsβ
- Bohr model
- Atomic spectra
- Electron configurations
- Zeeman effect
5.4 Nuclear Physicsβ
- Nuclear structure and models
- Radioactivity and decay processes
- Nuclear reactions and cross-sections
- Nuclear fission and fusion
5.5 Particle Physicsβ
- Standard model
- Fundamental forces and particles
- Quarks and leptons
- Conservation laws
- Particle accelerators and detectors
6. Astrophysics and Cosmologyβ
6.1 Stellar Physicsβ
- Stellar structure and evolution
- Nucleosynthesis
- White dwarfs, neutron stars, and black holes
6.2 Galactic and Extragalactic Astronomyβ
- Galaxy types and structures
- Dark matter
- Active galactic nuclei
6.3 Cosmologyβ
- Big Bang theory
- Cosmic microwave background
- Dark energy
- Inflationary universe
7. Advanced Topicsβ
7.1 General Relativityβ
- Principle of equivalence
- Curved spacetime
- Gravitational waves
- Black hole physics
7.2 Quantum Field Theoryβ
- Second quantization
- Feynman diagrams
- Quantum electrodynamics
- Quantum chromodynamics
7.3 String Theoryβ
- Supersymmetry
- Extra dimensions
- M-theory
7.4 Condensed Matter Physicsβ
- Crystal structures
- Band theory
- Superconductivity
- Magnetism in solids
7.5 Plasma Physicsβ
- Plasma properties and behavior
- Magnetohydrodynamics
- Fusion physics
7.6 Nonlinear Dynamics and Chaosβ
- Phase space and attractors
- Bifurcations
- Fractals
- Chaos in physical systems
7.7 Computational Physicsβ
- Numerical methods
- Monte Carlo simulations
- Molecular dynamics
- Quantum computing algorithms
7.8 Biophysicsβ
- Biomechanics
- Neurophysics
- Molecular biophysics
7.9 Geophysicsβ
- Seismology
- Plate tectonics
- Atmospheric and oceanic physics
- Planetary interiors
7.10 Medical Physicsβ
- Radiation therapy
- Medical imaging (MRI, CT, PET)
- Radiobiology