Polynomials: Theory and Applications

Related lectures (32)

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Explores Taylor's formula, polynomials, functions, and series applications.

Explores the implicit function theorem and Taylor polynomials in differential equations.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Covers functions, including even and odd functions, periodicity, and function operations.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.

Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Discusses methods for solving first-order linear differential equations, focusing on separation of variables and the integrating factor method.