Week 
Lectures 
Laboratories 
Texts 
Files 
Projects 
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



2

MATLAB environment: Twodimensional and threedimensional graphics, visualization, object hierarchy,
color selection, data import and export, GUI

MATLAB: Visualization of functions, definition of color sets, data import, GUI



3

MATLAB environment: Structured data sets. Fundamentals of symbolic mathematics, manipulation with expressions,
substitution, symbolic operations

MATLAB: Multidimensional variables. Symbolic mathematics, operations



4

Modelling in the SIMULINK environment: Modelling of mathematical operations, visualization, construction of SIMULINK models,
applications

SIMULINK: Basic blocks, initialization, interaction with MATLAB 


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



6

Approximation of functions: Method of the least squares, algorithms, symbolic and numeric methods

Aproximation of functions: Symbolic methods, numerical solutions, algorithms



7

Linear and nonlinear approximation: Generalization, gradient method, visualization, contour plots

Computer project M1: Function approximation




8

Nonlinear equations: Basic algorithms, symbolic and numeric methods,
simulation 
Nonlinear equations: Symbolic and numeric methods, programming



9

Systems of nonlinear equations: Principals of symbolic and numeric solutions, visualization

Computer project M2: Solution of nonlinear equations




10

Interpolation, differentiation, and integration: Basic algorithms, symbolic and numeric methods, modelling

Interpolation, differentiation, and integration: Symbolic and numeric methods 


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



12

Boundaryvalue problem for ordinary differential equations: Basic algorithms,
finite difference method, shooting method, visualization

Computer project M3: Solution of differential equations




13

Remote data processing, MATLAB WWW server, database systems 
Graphical user interphase, basic functions, solution of differential equations



14

Conclusion. Applications of computational methods

Conclusion

