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A First Course on Operations Research and Information Theory by Sanat Kumar Mazumder, published by New Central Book
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Key Core Topics Covered:-
The core math syllabi generally covered in this specific volume typically include:
- Ordinary Differential Equations (ODEs): Linear and non-linear equations of the first order, higher-order linear differential equations with constant coefficients, and methods like the Euler-Cauchy equations.
- Partial Differential Equations (PDEs): Formation and classification of PDEs, solutions using the separation of variables method, and foundational applications such as the one-dimensional wave equation, heat/diffusion equations, and the Laplace equation.
- Laplace Transforms: Standard Laplace and inverse Laplace transforms, properties, convolution theorems, and application of transforms in solving linear differential equations with constant coefficients.
- Fourier Series & Fourier Transforms: Expansion of periodic functions, half-range series, harmonic analysis, as well as Fourier sine and cosine transforms with their associated properties.
- Vector Calculus & Advanced Integrals: Line, surface, and volume integrals alongside core theorems including Green’s, Gauss’s divergence, and Stokes’ theorems.
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