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Lecture
Non-linear Equations: Bisection Method
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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: Bisection Method
Covers the bisection method for solving nonlinear equations with continuous functions and root finding examples in diode circuits.
Semi-groups of Contractions
Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.
Differential Equations: Solutions and Derivatives
Explores differential equations solutions, derivatives, differentiability, composite functions, and continuous functions.
Continuous Functions: Theory and Applications
Explores continuous functions, Cauchy criterion, and function extension by continuity.
Bisection Method
Covers the bisection method for finding function roots within intervals and its geometric interpretation.
Bisection Method, Newton Method
Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.
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.
Numerical Methods in Chemistry
Covers the implementation of numerical methods in MATLAB for solving chemical problems.
Differential Equations: Solutions and Periodicity
Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.
