Mathematics-1 for Mechanical Engineering stream Module 2

2022 Scheme  M1 for Mechanical Engineering stream BMATM101 Module 2 Notes (Download👇)

BMATM101 Module 2

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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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