Téma ismertetése

  • Általános

     

    • Lesson 1

      •Introduction of the numerical methods.

      •MATLAB basics

      •Errors

      • Téma 2

        System of linear equations

        • Types of system of linear equations

        • The existence and uniqueness of the solution

        • Direct solution methods

        • Methods using iteration

        • Téma 3

          System of non-linear equations
          • Solving non-linear equation
          • Solving system of non-linear equation
          • The principles of numerical solutions
          • Open and closed interval methods 
          • Téma 4

            Optimization

             • Optimization without constraints (single/multivariate case)

             • Optimization with constraints (equality or general constraints)

            • Téma 5

              Midterm test

              • Téma 6

                Interpolation

                 • The basic task of interpolation

                 • Univariate interpolation

                 • Bivariate interpolation

                Regression

                 • The fundamental of regression

                 • Linear regression

                 • Nonlinear regression

                 • The reliability of regression model


                • Téma 7

                  Numerical differentiation and integration
                  • Numerical differentiation
                  • Numerical integration
                  • Monte Carlo method
                  • Richardson extrapolation

                  • Téma 8

                    Ordinary differential equations
                    • Initial value Problem
                    • Boundary value problem

                    • Téma 9

                      • Téma 10

                        • Téma 11

                          • Téma 12

                            • Téma 13

                              • Téma 14