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Lecture
Bisection Method: Nonlinear Equations
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Non-linear Equations: Bisection Method
Explores solving non-linear equations using the bisection method iteratively.
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
Covers the bisection method for finding function roots within intervals and its geometric interpretation.
Nonlinear Equations: Bisection Method
Covers the bisection method for solving nonlinear equations with continuous functions and root finding examples in diode circuits.
Fixed Point Methods: Non-linear Equations
Covers fixed point methods for finding zeros of non-linear equations.
Bisection Method: Example
Focuses on using the bisection method to approximate function roots with precision.
Scientific Computing with SciPy Constants and Curve Fitting
Covers SciPy constants, curve fitting, and zero finding methods for scientific computing.
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.
Iterative Methods for Nonlinear Equations
Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.
Analysis I: Convergence and Subsequences
Explores convergence, subsequences, and the Bolzano-Weierstrass theorem in sequences.