Introduction to numerical methods

Aims of the course:

1. Acquainting students with selected numerical methods.

2. Developing students' skills in solving engineering problems with the use of selected numerical methods.

KNOWLEDGE – A STUDENT KNOWS AND UNDERSTANDS:

1. the issues in mathematics necessary to solve engineering problems using numerical methods;

2. programming issues necessary to solve non-linear equations, solve systems of linear equations using Gaussian elimination, numerical integration, approximation, interpolation, solving non-linear equations;

3. numerical methods used for: solving systems of linear equations using Gaussian elimination method, numerical integration, approximation, interpolation, solving nonlinear equations.

SKILLS – A STUDENT IS ABLE TO:

4. to write a program in VBA;

5. using numerical methods:

- solve nonlinear equations (bisection Method, Newton’s method),

- solve a system of linear equations (Gaussian elimination method),

- integrate numerically (multiple trapezoidal rule, multiple Simpson’s rule),

- use approximation,

- use interpolation (Lagrange interpolating polynomial, Spline function).

SOCIAL SKILLS – A STUDENT IS READY TO:

6. work both independently and in a group in which he takes various roles, is responsible for their own work.