Student, who passed the course satisfactorily will be able to:

• explain how numbers are represented in computers
• classify numerical errors such as storage and truncation errors
• discuss the effects of arithmetic operations on the propagation of numerical errors
• give examples of numerical methods used to solve nonlinear equations
• construct a polynomial that fits the given data points
• use the build-in functions "polyfit, polyval" and "spline" in MATLAB
• give examples of numerical integration rules
• use the build-in functions "trapz, quad" and "dblquad" in MATLAB
• formulate a design problem as an optimization problem by identifying the objective function and constraints
• give examples of optimization algorithms developed for unconstrained optimization problems
• discuss the methods developed for constrained optimizaion problems.