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2022 Scheme M1 for Mechanical Engineering stream BMATM101 Module 2 Notes (Download👇)
BMATM101 Module 2
Series Expansion and Multivariable Calculus
Module 2
Introduction to series expansion and partial differentiation in the field of Mechanical engineering applications.
Taylor’s and Maclaurin’s series expansion for one variable (Statement only) – problems.
Indeterminate forms – L’Hospital’s rule, Problems.
Partial differentiation, total derivative – differentiation of composite functions. Jacobian and problems. Maxima and minima for a function of two variables-Problems.
Self-study: Euler’s theorem and problems. Method of Lagrange’s undetermined multipliers with a
single constraint.
Applications: Computation of stress and strain, Errors and approximations in manufacturing
process, Estimating the critical points and extreme values, vector calculus.
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