Room A335: Tuesday 9:00-12:30
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Room A335: Tuesday 9:00-12:30 |
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| Week | Lectures | Laboratories | Texts | Files | Projects |
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| 1 | Introduction: Software support of mathematical methods, numerical, symbolical and simulation tools. MATLAB environment: basic operations, commands, matrix operations, programming methods, fundamental algorithms | MATLAB: Interactive and programming methods, selected functions and commands, editor, programming | 
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| 2 | MATLAB environment: Two-dimensional and three-dimensional graphics, visualization, object hierarchy, color selection, data import and export, GUI | MATLAB: Visualization of functions, definition of color sets, data import, GUI |
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| 3 | MATLAB environment: Structured data sets. Fundamentals of symbolic mathematics, manipulation with expressions, substitution, symbolic operations | MATLAB: Multidimensional variables. Symbolic mathematics, operations |
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| 4 | Modelling in the SIMULINK environment: Modelling of mathematical operations, visualization, construction of SIMULINK models, applications | SIMULINK: Basic blocks, initialization, interaction with MATLAB |
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| 5 | Linear algebra: Finite and iterative methods for solution of systems of linear algebraic equations, symbolic and numeric methods, sparse matrices | Linear algebra: Symbolic methods, algorithms, sparse matrices |
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| 6 | Approximation of functions: Method of the least squares, algorithms, symbolic and numeric methods | Aproximation of functions: Symbolic methods, numerical solutions, algorithms |
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| 7 | Linear and nonlinear approximation: Generalization, gradient method, visualization, contour plots | Computer project M1: Function approximation |
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| 8 | Nonlinear equations: Basic algorithms, symbolic and numeric methods, simulation | Nonlinear equations: Symbolic and numeric methods, programming |
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| 9 | Systems of nonlinear equations: Principals of symbolic and numeric solutions, visualization | Computer project M2: Solution of nonlinear equations |
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| 10 | Interpolation, differentiation, and integration: Basic algorithms, symbolic and numeric methods, modelling | Interpolation, differentiation, and integration: Symbolic and numeric methods |
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| 11 | Solution of ordinary differential equations and their systems: Basic algorithms, symbolic and numeric methods, modelling in the SIMULINK environment | Solution of diferential equations: Symbolic and numeric solution, modelling, basic blocks |
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| 12 | Boundary-value problem for ordinary differential equations: Basic algorithms, finite difference method, shooting method, visualization | Computer project M3: Solution of differential equations |
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| 13 | Remote data processing, MATLAB WWW server, database systems | Graphical user interphase, basic functions, solution of differential equations |
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| 14 | Conclusion. Applications of computational methods | Conclusion |
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| INFORMATION ABOUT EXAM | Dates: http://student.vscht.cz | Conditions: Examination system, sample test |