This is an introductory graduate course on the topics: ordinary and partial differential equations, Laplace and Fourier transforms, applications of o.d.es, estimation theory, hypothesis testing, simple and multiple linear regression, chi-square goodness of fit and independence, applications of Statistics, time series (decomposition and smoothing, applications of time series to forecasting knowledge necessary to an Environmental engineer.
Using this knowledge the student can solve, by constructing mathematical models, real life environmental problems. During the lectures, the analytical theory (in each one of the subjects) is given and mathematical models/scenarios for environmental problems are being constructed.
SPSS, MINITAB, MATLAB software are also being introduced and implemented.
The goals are:
- the study of different areas of Mathematics (O.D.E., Statistics, Time series) for (real life) problem solving
- the understanding of the difference between approximation/estimation and analytical methods,
- the familiarization of the students with specialized software programs and the use of these programs in solving real problems (scenarios).