1. Introduction to algorithm. 2. Error analysis. 3. Interpolation. 4. Remainder of interpolation. 5. Error estimate. 6. Spline function. 7. Numerical integration.

CILO-1: Implement algorithms in this course by using MATLAB. CILO-2: Estimate error of simple numerical algorithms. CILO-3: Solve nonlinear equations numerically and identify order of convergence. CILO-4: Interpolate data points and derive the error estimation. CILO-5: Calculate integrals and derivatives by numerical methods and derive the error estimation.