Interdisciplinary School of Science
| Change
of basis and linear transformations |
| Definition of eigenvectors and eigenvalues |
| Calculating eigenvalues and eigenvectors |
| Diagonalisation of matrices; matrix powers |
| Orthogonal matrices, real symmetric matrices |
| Fourier
Series |
| Fourier
series: Dirichlet, discontinuities and differentiation |
| Fourier
series: Weak convergence and series summation |
| Linearity
and Superposition |
| Wave
equation |
| Heat
and Diffusion equation |
| Laplace
equation and harmonic functions |
| Fourier
transform |
| Fourier
transform: properties |
|
| Temperature and the Zeroth Law of Thermodynamics.
Thermal equilibrium. |
| Transport,
conduction, conductivity, diffusion in gases. |
| The
two-state paramagnet and the Einstein model of a solid; |
| quantum
deviations from classical equipartition. Partition function |
| Interacting
systems, large systems, Stirling’s approximation |
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Savitribai Phule Pune University