1. Complex numbers. Infinite complex number series.
2. Complex functions of a complex variable and mappings. Elementary functions of complex variable.
3. Complex differentiation. Cauchy - Riemann equations.
4. Integration of complex variable function. Cauchy´s theorems. Taylor´s and Laurent´s series.
5. Singularities,residues, applications. Tensor algebra. Scalar, vector, tensor. Operations.
6. Vector’s differential operations, properties. Tensor’s operations, properties.
7. Tensor’s differential operations. Base line, invariants.
8. Field theory. Scalar and vector field. Gradient, divergence, rotation. Gauss theorem.
9. Equations of mathematical physics. 2nd order partial linear differential equations.
10. Fourier’s method of solution.
11. Solution of the heat-conduction: one dimensional heat conduction equation.
12. Combination of variable method. Green’s function method.
13. Finite diference method. Explicit method. Implicite method. Crank-Nicolson method. Process stability, process konvergence.
14. Reserve.
2. Complex functions of a complex variable and mappings. Elementary functions of complex variable.
3. Complex differentiation. Cauchy - Riemann equations.
4. Integration of complex variable function. Cauchy´s theorems. Taylor´s and Laurent´s series.
5. Singularities,residues, applications. Tensor algebra. Scalar, vector, tensor. Operations.
6. Vector’s differential operations, properties. Tensor’s operations, properties.
7. Tensor’s differential operations. Base line, invariants.
8. Field theory. Scalar and vector field. Gradient, divergence, rotation. Gauss theorem.
9. Equations of mathematical physics. 2nd order partial linear differential equations.
10. Fourier’s method of solution.
11. Solution of the heat-conduction: one dimensional heat conduction equation.
12. Combination of variable method. Green’s function method.
13. Finite diference method. Explicit method. Implicite method. Crank-Nicolson method. Process stability, process konvergence.
14. Reserve.