MLL212: Difference between revisions
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| credit_structure = 2-1-0 | | credit_structure = 2-1-0 | ||
| pre_requisites = MTL101 | | pre_requisites = [[MTL101]] | ||
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Latest revision as of 16:40, 14 April 2026
| MLL212 | |
|---|---|
| Mathematical Methods in Materials Engineering | |
| Credits | 3 |
| Structure | 2-1-0 |
| Pre-requisites | MTL101 |
| Overlaps | |
MLL212 : Mathematical Methods in Materials Engineering
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.