Taylor Polynomial: Order 2

Related lectures (23)

Page 1 of 3

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

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

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

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

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

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

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

Covers the concept of partial derivatives and their applications in mathematical analysis.

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