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Lecture
Bisection Method: Zero Finding
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Root Finding Methods: Secant, Newton, and Fixed Point Iteration
Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.
Bisection Method: Approximating Zeros of Functions
Covers the bisection method for approximating zeros of functions, discussing advantages, disadvantages, and an alternative approach for faster convergence.
Root Finding Methods: Bisection and Secant Techniques
Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.
Non-linear Equations: Dichotomy Method
Explores non-linear equations using the dichotomy method for finding zeros with tolerance.
Numerical Methods: Fixed Point and Picard Method
Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.
Bisection Method: Nonlinear Equations
Covers the bisection method for finding zeros of nonlinear functions.
Numerical Methods in Chemistry
Covers the implementation of numerical methods in MATLAB for solving chemical problems.
Advanced Analysis I: Uniform Convergence
Covers the concept of uniform convergence of continuous functions towards a limit function.