Mathematics – 2 3110015 Syllabus Download With Weightage
Mathematics – 2 3110015 Syllabus is a term that refers to Electronics and Communication Department covers this subject This year, this Subject is covered in the 1th Semester.
|1||Vector Calculus: Parametrization of curves, Arc length of curve in space,
Line Integrals, Vector fields and applications as Work, Circulation and
Flux, Path independence, potential function, piecewise smooth,
connected domain, simply connected domain, fundamental theorem of
line integrals, Conservative fields, component test for conservative
fields, exact differential forms, Div, Curl, Green’s theorem in the plane
|2||Laplace Transform and inverse Laplace transform, Linearity, First
Shifting Theorem (s-Shifting), Transforms of Derivatives and Integrals,
ODEs, Unit Step Function (Heaviside Function), Second Shifting
Theorem (t-Shifting), Laplace transform of periodic functions, Short
Impulses, Dirac’s Delta Function, Convolution, Integral Equations,
Differentiation and Integration of Transforms, ODEs with Variable
Coefficients, Systems of ODEs.
|3||Fourier Integral, Fourier Cosine Integral and Fourier Sine Integral.||7|
|4||First order ordinary differential equations, Exact, linear and Bernoulli’s
equations, Equations not of first degree: equations solvable for p,
equations solvable for y, equations solvable for x and Clairaut’s type.
|5||Ordinary differential equations of higher orders, Homogeneous Linear
ODEs of Higher Order, Homogeneous Linear ODEs with Constant
Coefficients, Euler–Cauchy Equations, Existence and Uniqueness of
Solutions, Linear Dependence and Independence of Solutions,
Wronskian, Nonhomogeneous ODEs, Method of Undetermined
Coefficients, Solution by Variation of Parameters.
|6||Series Solutions of ODEs, Special Functions, Power Series Method,
Legendre’s Equation, Legendre Polynomials, Frobenius Method,
Bessel’s Equation, Bessel functions of the first kind and their properties.
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