Credits: 3 (2-1-0)
Prerequisites: MTL101
Description
Vector Calculus: Gradient, Divergence and Curl, Physical interpretation, Laplacian.
Calculus of variations: Euler equations, Lagrangian multipliers, Variations with constraints.
Tensor analysis: Contraction, Quotient rule, Pseudotensors, Dual tensors, Tensor properties of crystals: Equilibrium and transport properties.
Group theory: Applications to crystal symmetry and point groups, Representation theory, Character tables.
Fourier Analysis: Fourier Series, Approximation by Trigonometric Polynomials, Fourier Cosine and Sine Transforms, Fourier Transform. Discrete and Fast Fourier Transforms.
Partial Differential Equations (PDEs): Basic Concepts of PDEs, solution by separating Variables, Heat equation and application to heat Flow from a body in Space, Solution by Fourier Series, Steady Two-Dimensional Heat Problems.
Prerequisite Tree
flowchart TD
MLL212-480[MLL212]
MLL212-480 --> MTL101-480[MTL101]
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