Taylor Series: Applications and Exercises

Related lectures (31)

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Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Covers the properties of the Whittaker model and its analytic continuation.

Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.

Covers mathematical functions, inequalities, and geometric figures with practical applications and problem-solving strategies.

Explores real analytical functions, their properties, and applications in mathematics.

Covers the estimation of norms and continuity in mathematical functions.

Explores Fresnel integrals through curvilinear integrals in R^2, focusing on cos(x²-y) and sin(x) functions.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.