Mathematics III

Topic outline

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• Fourier Series for interval (c ,c+2l)

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• Even and odd, half range fourier series

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• Laplace transforms upto some imortant functions

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• Laplace transforms of derivative, integration

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• Formation of PDE, Lagranges Method

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• Homogeneous Partial Differential Equations with constant coefficients

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• Functions of Complex variable

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• Analytic function

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• Gauss – elimination method, Gauss- Jordan method

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• Gauss- Seidel iteration method, Rayleigh’s Power method for Eigen values and Eigenvectors

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• Solutions of Initial values problems using Eulers, modified Eulers method. RK Method

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• Probability Distributions

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• Population or Universe, Sampling, Parameter of sampling, Standard Errors, Test of Significance, Critical Region, Level of Significance, Errors in Sampling, Steps in testing of Statistical Hypothesis

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• Topic 14
• Topic 15
• Topic 16
• Topic 17
• Topic 18
• Topic 19
• Topic 20
• Topic 21
• Topic 22
• Topic 23
• Topic 24
• Topic 25
• Topic 26
• Topic 27
• Topic 28
• Topic 29
• Topic 30