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1. Repeating the calculus of functions of one variable 2. Repeating the calculus of functions of several variables, Legendre transform 3. Ordinary differential equations: elementary methods of solution, application to chemical kinetics 4. Systems of ordinary differential equations, special methods (Laplace transform) 5. Partial differential equations, formulation, application to diffusion 6. Fourier transform, applications to solving differential equations 7. Fourier transform, application in spectroscopy 8. The calculus of variations, Lagrange multipliers method, applications in statistical thermodynamics 9. Fundamentals of Numerical Mathematics: interpolation and extrapolation, numerical differentiation and quadrature 10. Numerical solutions of differential equations 11. Fitting of functions 12. Introduction to Mathematical Statistics I 13. Introduction to Mathematical Statistics II 14. Experiment design in terms of statistics and errors Last update: TAJ403 (11.08.2015)
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