Interval arithmetic

Related lectures (31)

Explores the Fundamental Theorem of Analysis for continuous functions on closed intervals, illustrated with examples like integrating cos(x).

Introduces absolute value, intervals, triangle inequality, and complete numbers in the complex plane.

Explores Taylor series for function approximation and properties of definite integrals, including linearity and symmetry.

Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's validity.

Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.

Covers the bisection method for finding function roots within intervals and its geometric interpretation.

Explores the Cauchy problem, emphasizing solution finding and verification processes.

Covers the calculation of Taylor polynomials and error bounds for function approximation.

Covers the definition of a scalar product on a real vector space and provides examples.

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Explains definitions and remarks about closed intervals in functions.

Page 2 of 2