Non-linear Equations: Bisection Method

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Fixed Point Methods: Non-linear Equations

Covers fixed point methods for finding zeros of non-linear equations.

Non-linear Equations: Dichotomy Method

Explores non-linear equations using the dichotomy method for finding zeros with tolerance.

Bisection Method: Iterative Search for Zeros

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

Bisection Method: Proposition and Demonstration

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

Bisection Method: Solving Non-linear Equations

Explores the bisection method for solving non-linear equations with a focus on error control and MATLAB implementation.

Bisection Method: Zero Finding

Covers the bisection method for finding zeros of continuous functions.

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.

Newton's Method: Convergence and Criteria

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Numerical Analysis: Nonlinear Equations

Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.

Method of Undetermined Coefficients

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.