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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


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


Grade:Upto college level

1 Answers

Chetan Mandayam Nayakar
312 Points
13 years ago

2 books

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

2. "Advanced Engineering Mathematics" by Erwin Kreyszig

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