Mathematics: Functions and Series

Related lectures (25)

Page 2 of 3

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

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

Explores the limit of the quotient for sequences and the periodicity of functions.

Covers the properties of functions, including symmetry, continuity, and limits.

Covers Morse theory, focusing on critical points and non-degeneracy.

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

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

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

Introduces Taylor series, covering their basics and applications in approximating functions and calculating limits.

Covers the basics of real analysis, including functions, limits, and max/min functions.