Introduction to Theoretical Physics
( 25 Modules )

Module #1
Introduction to Theoretical Physics
Overview of the course, introduction to theoretical physics, and its importance

Module #2
Mathematical Tools for Theoretical Physics
Review of mathematical concepts:linear algebra, calculus, differential equations, and group theory

Module #3
Classical Mechanics
Review of classical mechanics:kinematics, dynamics, oscillations, and Lagrangian formulation

Module #4
Hamiltonian Mechanics
Introduction to Hamiltonian mechanics:phase space, Poisson brackets, and Hamiltons equations

Module #5
Symmetries and Conservation Laws
Introduction to symmetries and conservation laws:Noethers theorem and its applications

Module #6
Electromagnetism
Review of electromagnetism:electric and magnetic fields, Maxwells equations, and electromagnetic waves

Module #7
Special Relativity
Introduction to special relativity:time dilation, length contraction, and relativity of simultaneity

Module #8
Relativistic Mechanics
Relativistic mechanics:energy-momentum relation, Lorentz transformation, and four-vectors

Module #9
Introduction to Quantum Mechanics
Wave-particle duality, uncertainty principle, and Schrödinger equation

Module #10
Wave Functions and Operators
Introduction to wave functions, operators, and expectation values

Module #11
Schrödinger Equation and Stationary States
Solving the Schrödinger equation, energy eigenvalues, and stationary states

Module #12
Time-Dependent Quantum Mechanics
Time-dependent Schrödinger equation, wave packets, and scattering theory

Module #13
Angular Momentum and Spin
Introduction to angular momentum, spin, and spin-statistics theorem

Module #14
Many-Particle Systems
Introduction to many-particle systems, wave functions, and indistinguishability

Module #15
Quantum Systems in 3D
Quantization of energy, spherical harmonics, and hydrogen atom

Module #16
Interactions and Scattering
Introduction to interactions, scattering theory, and Feynman diagrams

Module #17
Relativistic Quantum Mechanics
Introduction to relativistic quantum mechanics, Dirac equation, and spinors

Module #18
Quantum Field Theory
Introduction to quantum field theory, Lagrangian formulation, and quantization

Module #19
Renormalization Group
Introduction to renormalization group, running couplings, and asymptotic freedom

Module #20
Symmetries and Symmetry Breaking
Introduction to symmetries, Goldstone theorem, and Higgs mechanism

Module #21
Introduction to General Relativity
Introduction to general relativity, equivalence principle, and curvature

Module #22
Geodesics and Curvature
Geodesics, curvature tensors, and Einsteins field equations

Module #23
Gravitational Waves and Black Holes
Gravitational waves, black holes, and singularities

Module #24
Cosmology and the Early Universe
Introduction to cosmology, Friedmann equations, and the early universe

Module #25
Course Wrap-Up & Conclusion
Planning next steps in Introduction to Theoretical Physics career

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Introduction to Theoretical Physics ( 25 Modules )

Introduction to Theoretical Physics
( 25 Modules )