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Calculus
Ordinary Differential Equations (ODEs) of First Order
Linear Algebra
Series Expansion and Multivariable Calculus
Ordinary Differential Equations of Higher Order
BMATM101: Mathematics-I for Mechanical engineering stream of Visvesvaraya Technological University (VTU) incepts with polar coordinates for general situations in mechanics and physics. Derivative and successive derivatives are used for tailor series. Further there is a perfect transition from single variable to multivariable calculus, hence total derivative and jacobian which are powerfully used in mechanical engineering for simulation and optimization. The basic math modelling is via higher order ordinary differential equations. Finally Linear algebra with emphasis on rank, eigenvalues and eigen vectors makes it a perfect base curriculum be it stress or vibration analysis or fluid or thermal analysis.
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