Lectures related to Bisection Method: Proposition and Demonstration

Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Integration by Change of Variables

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

The Intermediate Value Theorem

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

Differential Calculus: Theorem of Finite Increments

Explains how a function reaches its maximum and minimum values.

Surjectivity of Derivative Application

Covers the surjectivity of the derivative application for continuous functions on closed intervals.

Bisection Method: Iterative Search for Zeros

Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.

Derivability and Maximum Values

Covers the theorem of intermediate values and finding maximum and minimum values of functions on closed intervals.

Functions: Continuity and Derivability

Explores continuous and derivable functions on closed intervals.

Nonlinear Equations: Bisection Method

Covers the bisection method for solving nonlinear equations with continuous functions and root finding examples in diode circuits.

Bisection Method: Zero Finding

Covers the bisection method for finding zeros of continuous functions.

Bisection Method

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

Fundamental Theorem of Calculus Example

Demonstrates the practical importance of the fundamental theorem of calculus through a detailed example.

Extreme Values Theorem

Discusses the Extreme Values Theorem for continuous functions on closed intervals.

Developpements limités

Explains the definition and uniqueness of developments limites for continuous functions on open intervals.

Intermediate Values Theorem

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

The Intermediate Value Theorem

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

Properties of Continuous Functions

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

Continuous Functions and Derivatives

Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.

Uniform Continuity: Proof and Theorem

Covers the concept of uniform continuity and a theorem on continuous functions.

Fundamental Theorem of Integral Calculus

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