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Anindya Biswas Grade: Upto college level
        


Unit 3: Laplace Transform


Laplace transforms of standard function, periodic


functions, Unit step function, Transforms of


derivatives and integrals. Differentiation and


integration of transforms, Linearity property,


Inverse Laplace transform, Shifting theorems,


Convolution. Application to solve differential


and integral equations ( initial value problem).,,,,,,,,Unit 6 : Vectors:


Vector algebra, product of vectors, vector


differentiation, vector differential operator, gradient,


directional derivatives, divergence, curl, line


integral, double integral, green’s theorem.,,,,,,,,Unit 1: Ordinary Differential Equation


Differential equation of first order. Linear


differential equation of second order (homogeneous


and nonhomogeneous case). Cauchy, Euler’s


equation, Application of first order differential


equations (mixture problem, Newton’s law of


cooling, orthogonal trajectory).,,,,,,,,,,,,,riemann integration    CALCULUS of functions in one variable,,,,,,,,,,,taylor and mclaurin seriea


6 years ago

Answers : (1)

Chetan Mandayam Nayakar
312 Points
										

2 books


1. "Calculus: graphical,numerical,algebraic" by Thomas, Finney, DeMana, Waits


2. "Advanced Engineering Mathematics" by Erwin Kreyszig

6 years ago
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