Lectures related to Interval arithmetic

Explores the periodic table of elements and Assyr Abdulle's significant contributions to numerical analysis.

Explores place-valued arithmetic, covering addition, subtraction, and limitations of digital systems.

Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.

Explores the implementation of digital filters, emphasizing memory cells, circular buffers, and real-time processing challenges.

Covers the bisection method for finding zeros of nonlinear functions.

Explores the challenges of integrating functions with parameters and the importance of uniform convergence.

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Covers the bisection method proposition and its demonstration for finding roots.

Covers integration by change of variables and the derivation in chain rule.

Introduces the bisection method for finding zeros of nonlinear functions.

Covers the properties of definite integrals and their implications through examples.

Explores equilibrium and stability of a vertical metronome system with springs.

Analyzes the convergence of a function using the Newton method.

Explores continuous and derivable functions on closed intervals.

Explores the Darboux theorem for continuous functions on closed intervals, emphasizing uniform continuity and function behavior implications.

Introduces the bisection method for resolving nonlinear equations using numerical techniques and Python programming.

Explores the Intermediate Values Theorem for continuous functions on closed intervals.

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

Covers the Intermediate Value Theorem for continuous functions on closed intervals.

Covers the discussion of the function f(x) = |2x-1| -x²+1 on a given domain and its continuity, zeros, and derivatives.