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Lecture
Bisection Method: Zero Finding
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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.
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.
Non-linear Equations: Bisection Method
Explores solving non-linear equations using the bisection method iteratively.
Function Approximations
Covers continuous functions with compact support, density, and approximation, focusing on the heat equation.
Generalized Integrals: Type 2
Covers the integration of limit expansions and continuous functions by pieces.
Bisection Method, Newton Method
Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.
Fixed Point Methods: Non-linear Equations
Covers fixed point methods for finding zeros of non-linear equations.
Nonlinear Equations: Bisection Method
Covers the bisection method for solving nonlinear equations with continuous functions and root finding examples in diode circuits.
Bisection Method
Covers the bisection method for finding function roots within intervals and its geometric interpretation.