Media Storage Type : DVD-ROM
NPTEL Course Name : Mathematical Physics - 1
NPTEL Subject Matter Expert : Dr. Saurabh Basu
NPTEL Co-ordinating Institute : IIT Guwahati
NPTEL Lecture Count : 42
Lecture Titles:
Lecture 1 - Definition
Lecture 2 - Gradient
Lecture 3 - Physical examples of divergence
Lecture 4 - Curl in Curvilinear Coordinates
Lecture 5 - Gauss Divergence Theorem
Lecture 6 - Stoke's Theorem
Lecture 7 - Linear Vector Spaces
Lecture 8 - Bases
Lecture 9 - Linear Independence, Change of Basis
Lecture 10 - Similarity Transformation
Lecture 11 - Orthogonality and Completeness
Lecture 12 - Gram-Schmidt Orthogonalization (GSO)
Lecture 13 - Hilbert Space
Lecture 14 - Linear Algebra in Quantum Mechanics
Lecture 15 - Inverse of a Matrix
Lecture 16 - Symmetric, Skew Symmetric and Orthogonal Matrices
Lecture 17 - Basis of Eigenvectors
Lecture 18 - Matrix Eigenvalue
Lecture 19 - Eigenvalues Equation
Lecture 20 - Tutorials
Lecture 21 - Dirac Delta Function
Lecture 22 - Different representations of Delta Functions
Lecture 23 - Definitions and different representations of Delta Functions
Lecture 24 - Introduction
Lecture 25 - Transformation Properties of Vectors
Lecture 26 - Covariant and Contravariant Vectors
Lecture 27 - Tensors with multiple indices ï¾– cross product
Lecture 28 - Algelraic Properties of Tensors
Lecture 29 - Metric Tensor
Lecture 30 - Dynamics of Particle: Usage of Tensors
Lecture 31 - Complex Numbers
Lecture 32 - Algebraic Properties Complex Numbers
Lecture 33 - Cauchy-Riemann Conditions
Lecture 34 - Analyticity
Lecture 35 - Branch points and Branch cuts
Lecture 36 - Cauchy's Integral Formula
Lecture 37 - Residue Theorem
Lecture 38 - Jordan's Lemma
Lecture 39 - Taylor and Laurent Series
Lecture 40 - Summary
Lecture 41 - Conformal Mapping
Lecture 42 - Jacobian of a transformation