MLL212
| MLL212 | |
|---|---|
| Mathematical Methods in Materials Engineering | |
| Credits | 3 |
| Structure | 2-1-0 |
| Pre-requisites | MTL101 |
| Overlaps | |
MLL212 : Mathematical Methods in Materials Engineering
[edit]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.