Taylor Series: BasicsCovers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.
Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Developing Cosine CompositionExplores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Approximation of FunctionsCovers the topic of approximating functions using polynomials through interpolation, emphasizing the importance of optimal point selection.
