Convexity Study and Limiting Developments

Related lectures (30)

Page 1 of 3

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Covers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explores Taylor's formula, polynomials, functions, and series applications.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Explores the derivative of a function, covering rules for deriving sums, products, and quotients.

Explores finding the equation of the tangent line to a function's graph at a point.

Covers the method to calculate the images of vectors in a given base.

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.