Mathematical Physics II

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