Syllabus
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Course Code: EI-BS-104 Course Name: Mathematics-II |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Matrices & its Applications:,inverse using elementary transformations, consistency of linear system of equations, linear and orthogonal transformations, Eigen values and Eigen vectors, properties of Eigen values. | |
| 2 | Ordinary Differential Equations & its Applications: Exact differential equations. Equations reducible to exact differential equations. Linear differential equations of second and higher order: complementary function and particular integral, method of variation of parameters to find particular Integral, Cauchy and Legendre linear differential equations, Simultaneous linear Differential equation with constant co-efficients. |
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| 3 | Laplace Transforms and its Applications: Transforms of derivatives, transforms of integrals, multiplication by tn, division by t. Evaluation of integrals by Laplace transforms. Laplace transform of Unit step function, unit impulse function and periodic function. Inverse Laplace transforms,convolution theorem, application to linear differential equations |
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| 4 | Partial Differential Equations and Its Applications: Formation of partial differential equations, Lagrange's linear partial differential equation, First order non-linear partial differential equation, Method of separation of variables and its applications. | |
