Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.
Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.
Discusses the analysis of composite numerical integration formulas and their convergence, stability, and error characteristics.
Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
