Selected topics on mathematical analysis [grd1ma]
| Civil Engineering |
Lectures with many examples and illustrations.
Introducing the audience to the different methods of mathematical analysis which have many theoretical and practical applications to engineering.
Applying acquired knowledge for making and solving mathematical models connected to practice.
1. Elements of complex analysis: Complex numbers, complex plane, functions of complex variable, elementary complex functions, analytic functions, Cauchy-Riemann equations, harmonic functions, first derivative, conformal mapping.
2. Laplace transformations: Definition and basic properties, examples and application to differential equations.
3. Systems of ordinary differential equations, partial differential equations of first and second order
with applications.
1. Advanced Mathematics for Engineers and Scientists /M. Spiegel - Schaum’s Outlines Series : Mc
Graw-Hill book Company,1971.
2. Partial differential equations / D. Georgijevic–Belgrade, Mechanical faculty, 2002.
3. Analytic and special functions,Laplace transforms,Fourier series /P. Romanovskij, Moskva “Nauki”, 1980.
LuAn-011