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Topics and Syllabus - Applied Mathematics 3 B.E. University of Mumbai

Topics with syllabus and resources

1 Laplace Transform
1.01 Function of Bounded Variation
1.02 Linearity Property of Laplace Transform
2 Inverse Laplace Transform
2.01 Linearity Property
syllabus ▼ 
2.02 Applications to Solve Initial and Boundary Value Problems Involving Ordinary Differential Equations with One Dependent Variable
syllabus ▼ 
3 Complex Variables
3.01 Functions of Complex Variable
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3.02 Milne- Thomson Method
syllabus ▼ 
3.03 Mapping
syllabus ▼ 
4 Complex Integral
4.01 Line Integral of a Function
syllabus ▼ 
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
syllabus ▼ 
5 Fourier Series
5.01 Orthogonal and Orthonormal Functions
syllabus ▼ 
5.02 Dirichlet’s Theorem
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5.03 Complex Form of Fourier Series
6 Partial Differential Equations
6.01 Numerical Solution of Partial Differential Equations
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6.02 Partial Differential Equations
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6.03 Heat Equation
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6.04 Two and Three Dimensional Laplace Equations
syllabus ▼ 
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