Taylor Series: Basics and Applications

Related lectures (28)

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Covers the fundamentals of calculus, focusing on derivatives and integrals.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

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

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

Presents the solution to finding the second-order Taylor polynomial of a function.

Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.