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Question Paper - Applied Mathematics 3 2008 - 2009-B.E.-Semester 3 (SE Second Year) University of Mumbai

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Unit: Semester 3 (SE Second Year)
Subject:   Applied Mathematics 3
Year:   2008 - 2009 (November)

 Question Paper - Applied Mathematics 3 2008 - 2009-B.E.-Semester 3 (SE Second Year) University of Mumbai
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 Question Paper - Applied Mathematics 3 2008 - 2009-B.E.-Semester 3 (SE Second Year) University of Mumbai
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 Question Paper - Applied Mathematics 3 2008 - 2009-B.E.-Semester 3 (SE Second Year) University of Mumbai

Topics

1 Laplace Transform
1.01 Function of Bounded Variation
1.02 Linearity Property of Laplace Transform
2 Inverse Laplace Transform
2.01 Linearity Property
2.02 Applications to Solve Initial and Boundary Value Problems Involving Ordinary Differential Equations with One Dependent Variable
3 Complex Variables
3.01 Functions of Complex Variable
3.02 Milne- Thomson Method
3.03 Mapping
4 Complex Integral
4.01 Line Integral of a Function
4.02 Singularities and Poles
4.03 Taylor’S and Laurent’S Series Development (Without Proof)
4.04 Residue at Isolated Singularity and Its Evaluation
4.05 Residue Theorem
5 Fourier Series
5.01 Orthogonal and Orthonormal Functions
5.02 Dirichlet’s Theorem
5.03 Complex Form of Fourier Series
6 Partial Differential Equations
6.01 Numerical Solution of Partial Differential Equations
6.02 Partial Differential Equations
6.03 Heat Equation
6.04 Two and Three Dimensional Laplace Equations

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