Mathematical Methods in Theoretical Physics
( 25 Modules )

Module #1
Introduction to Mathematical Physics
Overview of the importance of mathematical methods in theoretical physics, historical context, and course objectives

Module #2
Vector Calculus
Review of vector algebra, vector differentiation, and integration, with emphasis on physical applications

Module #3
Differential Equations
Linear and nonlinear ODEs and PDEs, with techniques for solving and interpreting physical systems

Module #4
Linear Algebra
Vector spaces, linear transformations, eigenvalues, and eigenvectors, with applications to quantum mechanics

Module #5
Group Theory
Introduction to abstract groups, group representations, and their role in particle physics

Module #6
Tensor Analysis
Introduction to tensors, tensor algebra, and covariance, with applications to general relativity

Module #7
Complex Analysis
Complex functions, Cauchy-Riemann equations, and residue theory, with applications to quantum field theory

Module #8
Special Functions
Gamma functions, Legendre functions, and other special functions used in theoretical physics

Module #9
Fourier Analysis
Fourier series and transforms, with applications to signal processing and quantum mechanics

Module #10
Laplace Transforms
Definition and properties of Laplace transforms, with applications to differential equations and circuit analysis

Module #11
Operators and Eigenvalue Problems
Linear operators, eigenvalues, and eigenvectors, with applications to quantum mechanics and electromagnetism

Module #12
Greens Functions
Definition and properties of Greens functions, with applications to potential theory and scattering problems

Module #13
Path Integrals
Introduction to path integrals, Feynman diagrams, and their role in quantum field theory

Module #14
Riemann Surfaces and Topology
Introduction to Riemann surfaces, genus, and topological invariants, with applications to string theory

Module #15
Symmetries and Conservation Laws
Noethers theorem, conservation laws, and symmetries in classical and quantum mechanics

Module #16
Lie Groups and Lie Algebras
Introduction to Lie groups and Lie algebras, with applications to particle physics and quantum field theory

Module #17
Functional Analysis
Introduction to Hilbert spaces, Banach spaces, and operator theory, with applications to quantum mechanics

Module #18
Numerical Methods
Introduction to numerical methods for solving partial differential equations and eigenvalue problems

Module #19
Renormalization and Regularization
Introduction to renormalization and regularization techniques in quantum field theory

Module #20
Computational Physics
Introduction to computational physics, including numerical methods, programming languages, and scientific computing

Module #21
Applications to Quantum Mechanics
Applications of mathematical methods to quantum mechanics, including Schrödinger equation and spin systems

Module #22
Applications to Quantum Field Theory
Applications of mathematical methods to quantum field theory, including Feynman diagrams and renormalization group

Module #23
Applications to General Relativity
Applications of mathematical methods to general relativity, including curvature tensors and geodesics

Module #24
Applications to Condensed Matter Physics
Applications of mathematical methods to condensed matter physics, including topological insulators and superconductors

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

WIZAPE

ONLINE RESOURCES

ABOUT WIZAPE

ONLINE PORTAL

Our priority is to cultivate a vibrant community before considering the release of a token. By focusing on engagement and support, we can create a solid foundation for sustainable growth. Let’s build this together!

We're giving our website a fresh new look and feel! 🎉 Stay tuned as we work behind the scenes to enhance your experience.
Get ready for a revamped site that’s sleeker, and packed with new features. Thank you for your patience. Great things are coming!

CONTACT-US PRIVACY POLICY

Mathematical Methods in Theoretical Physics ( 25 Modules )

Mathematical Methods in Theoretical Physics
( 25 Modules )