Engineering Mathematics
- Signal theory and linear vector spaces
- Fourier series
- Sturm-Liouville problems and generalized Fourier series
- Fourier integral and Fourier transform
- Wave equation and the method of separation of variables
- Heat/diffusion equation
- Laplace equation
- Inhomogeneous partial differential equations
- solving partial differential equations using transform methods
- introduction and the history of complex numbers
- Analytic functions and Cauchy-Riemann equations
- Exponential, trigonometric and logarithmic in complex domain
- Line integral in complex plane
- Cauchy's integral theorem
- Review of power and Taylor series
- Laurent series and residue integration method
- Residue integration of real integrals
- conformal mapping
- Complex analysis and potential theory