BMATE201 | Mathematics-II for Electrical & Electronics Engineering Stream

Module 1
Introduction to Vector Calculus in EC & EE engineering applications. Vector Differentiation: Scalar and vector fields. Gradient, directional derivative, curl and divergence – physical interpretation, solenoidal and irrotational vector fields. Problems. Vector Integration: Line integrals, Surface integrals. Applications to work done by a force and flux. Statement of Green’s theorem and Stoke’s theorem. Problems.
Module 2
Importance of Vector Space and Linear Transformations in the field of EC & EE engineering applications. Vector spaces: Definition and examples, subspace, linear span, Linearly independent and dependent sets, Basis and dimension. Linear transformations: Definition and examples, Algebra of transformations, Matrix of a linear transformation. Change of coordinates, Rank and nullity of a linear operator, Rank-Nullity theorem. Inner product spaces and orthogonality.
Module 3
Importance of Laplace Transform for EC & EE engineering applications. Existence and Uniqueness of Laplace transform (LT), transform of elementary functions, region of convergence. Properties–Linearity, Scaling, t-shift property, s-domain shift, differentiation in the sdomain, division by t, differentiation and integration in the time domain. LT of special functionsperiodic functions (square wave, saw-tooth wave, triangular wave, full & half wave rectifier), Heaviside Unit step function, Unit impulse function. Inverse Laplace Transforms: Definition, properties, evaluation using different methods, convolution theorem (without proof), problems, and applications to solve ordinary differential equations.
Module 4
Importance of numerical methods for discrete data in the field of EC & EE engineering
applications.
Solution of algebraic and transcendental equations: Regula-Falsi method and Newton-Raphson
method (only formulae). Problems.
Finite differences, Interpolation using Newton’s forward and backward difference formulae,
Newton’s divided difference formula and Lagrange’s interpolation formula (All formulae without
proof). Problems.Numerical integration: Trapezoidal, Simpson’s (1/3)rd and (3/8)th rules(without proof). Problems. 
Module 5
Introduction to various numerical techniques for handling EC & EE applications. Numerical Solution of Ordinary Differential Equations (ODEs): Numerical solution of ordinary differential equations of first order and first degree – Taylor’s series method, Modified Euler’s method, Runge-Kutta method of fourth order and Milne’s predictorcorrector formula (No derivations of formulae). Problems.

BMATE201 | Model Question Paper with Solution

MQP Solution
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BMATE201 | Passing Package
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Passing Package
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