Mathematical Physics II
- Theory of function of complex variable
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Cauchy-Riemann equations
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Cauchy integral theorems
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Residue theorem and Laurent series
- Applications of function of complex variable
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Evaluation of Fourier and Laplace integrals
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Location of zeros and poles of meromorphic functions
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Conformal mapping
- Probability theory
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Discrete random variables
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Continuous random variables
- Mathematical statistics
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Estimation of parameters
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Confidence intervals
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Regression and correlation analysis
- Calculus of variations
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Variational problems in one dimension
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Variational problems in many dimensions