Lectures:
1. Introduction to Matlab: Entering variables, vectors and matrices, managing variables, graphical output, creating a script.
2. Algorithm basics: Algorithm properties, elementary algorithms.
3. Calculation of function values: Calculation of polynomial value, tabulation and function graph, determination of extreme discretized function.
4. Solution of Nonlinear Algebraic Equations I.: Iteration, ending cycle, recurring relationships.
5. The solution of non-linear algebraic equations II.: Iterative methods of solving non-linear algebraic equations.
6. Methods for sorting a set of elements: Bubble sort, Selection sort, Insert sort, Quick sort, Shell sort.
7. Systems of linear equations I.: Direct methods of solving systems of linear equations - solutions of triangular system, Gaussian and Gauss-Jordan elimination method, LU and Choleski decomposition.
8. Systems of Linear Equations II.: Iterative Methods of Solutions of Systems of Linear Equations - Jacobi iteration, Gauss-Seidel iteration method.
9. Systems of Linear Equations III.: matrix band, sparse matrix, gradient method.
10. Numerical integration of a particular integral: Rectangular, trapezoidal, Simpson and Romberg\'s numerical integration method, Adaptive integration, Gaussian quadrature.
11. Numerical derivation: Finite difference method, numerical differentiation with non-constant differential, partial derivation.
12. Differential equations solving: Ordinary differential equations, Euler method, Runge-Kutta method, method of jumping frogs.
13. Interpolation and approximation: Linear interpolation, Lagrange interpolation, Newton interpolation, Approximation by least squares method - line and polynomial of m-order.
14. Examples of sample applications.
Tutorials:
1. Introduction to Matlab: Entering variables, vectors and matrices, managing variables, graphical output, creating a script.
2. Algorithm basics: Algorithm properties, elementary algorithms.
3. Calculation of function values: Calculation of polynomial value, tabulation and function graph, determination of extreme discretized function.
4. Solution of Nonlinear Algebraic Equations I.: Iteration, ending cycle, recurring relationships.
5. The solution of non-linear algebraic equations II.: Iterative methods of solving non-linear algebraic equations.
6. Methods for sorting a set of elements: Bubble sort, Selection sort, Insert sort, Quick sort, Shell sort.
7. Systems of linear equations I.: Direct methods of solving systems of linear equations - solutions of triangular system, Gaussian and Gauss-Jordan elimination method, LU and Choleski decomposition.
8. Systems of Linear Equations II.: Iterative Methods of Solutions of Systems of Linear Equations - Jacobi iteration, Gauss-Seidel iteration method.
9. Systems of Linear Equations III.: matrix band, sparse matrix, gradient method.
10. Numerical integration of a particular integral: Rectangular, trapezoidal, Simpson and Romberg\'s numerical integration method, Adaptive integration, Gaussian quadrature.
11. Numerical derivation: Finite difference method, numerical differentiation with non-constant differential, partial derivation.
12. Differential equations solving: Ordinary differential equations, Euler method, Runge-Kutta method, method of jumping frogs.
13. Interpolation and approximation: Linear interpolation, Lagrange interpolation, Newton interpolation, Approximation by least squares method - line and polynomial of m-order.
14. Presentation of semestral work.
1. Introduction to Matlab: Entering variables, vectors and matrices, managing variables, graphical output, creating a script.
2. Algorithm basics: Algorithm properties, elementary algorithms.
3. Calculation of function values: Calculation of polynomial value, tabulation and function graph, determination of extreme discretized function.
4. Solution of Nonlinear Algebraic Equations I.: Iteration, ending cycle, recurring relationships.
5. The solution of non-linear algebraic equations II.: Iterative methods of solving non-linear algebraic equations.
6. Methods for sorting a set of elements: Bubble sort, Selection sort, Insert sort, Quick sort, Shell sort.
7. Systems of linear equations I.: Direct methods of solving systems of linear equations - solutions of triangular system, Gaussian and Gauss-Jordan elimination method, LU and Choleski decomposition.
8. Systems of Linear Equations II.: Iterative Methods of Solutions of Systems of Linear Equations - Jacobi iteration, Gauss-Seidel iteration method.
9. Systems of Linear Equations III.: matrix band, sparse matrix, gradient method.
10. Numerical integration of a particular integral: Rectangular, trapezoidal, Simpson and Romberg\'s numerical integration method, Adaptive integration, Gaussian quadrature.
11. Numerical derivation: Finite difference method, numerical differentiation with non-constant differential, partial derivation.
12. Differential equations solving: Ordinary differential equations, Euler method, Runge-Kutta method, method of jumping frogs.
13. Interpolation and approximation: Linear interpolation, Lagrange interpolation, Newton interpolation, Approximation by least squares method - line and polynomial of m-order.
14. Examples of sample applications.
Tutorials:
1. Introduction to Matlab: Entering variables, vectors and matrices, managing variables, graphical output, creating a script.
2. Algorithm basics: Algorithm properties, elementary algorithms.
3. Calculation of function values: Calculation of polynomial value, tabulation and function graph, determination of extreme discretized function.
4. Solution of Nonlinear Algebraic Equations I.: Iteration, ending cycle, recurring relationships.
5. The solution of non-linear algebraic equations II.: Iterative methods of solving non-linear algebraic equations.
6. Methods for sorting a set of elements: Bubble sort, Selection sort, Insert sort, Quick sort, Shell sort.
7. Systems of linear equations I.: Direct methods of solving systems of linear equations - solutions of triangular system, Gaussian and Gauss-Jordan elimination method, LU and Choleski decomposition.
8. Systems of Linear Equations II.: Iterative Methods of Solutions of Systems of Linear Equations - Jacobi iteration, Gauss-Seidel iteration method.
9. Systems of Linear Equations III.: matrix band, sparse matrix, gradient method.
10. Numerical integration of a particular integral: Rectangular, trapezoidal, Simpson and Romberg\'s numerical integration method, Adaptive integration, Gaussian quadrature.
11. Numerical derivation: Finite difference method, numerical differentiation with non-constant differential, partial derivation.
12. Differential equations solving: Ordinary differential equations, Euler method, Runge-Kutta method, method of jumping frogs.
13. Interpolation and approximation: Linear interpolation, Lagrange interpolation, Newton interpolation, Approximation by least squares method - line and polynomial of m-order.
14. Presentation of semestral work.