Lectures related to Analysis I: Limits and Continuity

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

Covers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.

Covers the properties of functions in Rn and the computation of partial derivatives by induction.

Explores derivability and function composition with examples.

Covers the demonstration of a theorem using mathematical expressions and hypotheses.

Covers the fundamental concepts of integrals and primitives, including properties and examples.

Covers the calculation of partial derivatives of order 3 and the concept of differentiability in functions.

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

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