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#### Topics

1.01 Function of Bounded Variation

1.02 Linearity Property of Laplace Transform

2.01 Linearity Property

2.02 Applications to Solve Initial and Boundary Value Problems Involving Ordinary Differential Equations with One Dependent Variable

3.01 Functions of Complex Variable

3.02 Milne- Thomson Method

3.03 Mapping

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

5.01 Orthogonal and Orthonormal Functions

5.02 Dirichlet’s Theorem

5.03 Complex Form of Fourier Series

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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Question paper for Applied Mathematics 3 2007 - 2008 Semester 3 (SE Second Year) by University of Mumbai for the courses BE Mechanical Engineering, BE Automobile Engineering, BE Production Engineering, BE Civil Engineering.