Lectures related to Nonlinear Equations: Bisection Method

Bisection Method: Proposition and Demonstration

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

Electrical Circuit: Fixed Point Methods

Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.

Bisection Method

Covers the bisection method for finding function roots within intervals and its geometric interpretation.

Bisection Method: Iterative Search for Zeros

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

Diodes and Applications

Explores the operation of diodes, including Zener diodes and LEDs, and their applications in rectifiers and voltage stabilization circuits.

Bisection Method: Zero Finding

Covers the bisection method for finding zeros of continuous functions.

Non-linear Equations: Bisection Method

Explores solving non-linear equations using the bisection method iteratively.

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.

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.

Attack on RSA using LLL

Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.

Diode and Its Applications

Explores diode characteristics, rectification, AC-DC conversion, and voltage regulation applications.

Temperature Analysis: Reference Circuits

Explores temperature-independent biasing circuits, negative-TC references, diode-referenced self-biasing circuits, and bandgap references in low-voltage ICs.

Bisection Method: Solving Non-linear Equations

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

Diode Junction PN: Fundamentals and Applications

Covers the fundamentals and applications of diode junction PN in various electronic circuits.

Nonlinear Equations: Bisection Method

Introduces root finding using the bisection method for nonlinear equations, illustrated with a three-tanks system example.

Fixed Point Methods: Non-linear Equations

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

Root Finding Methods: Secant, Newton, and Fixed Point Iteration

Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.

Taylor Series and Secant Method: Numerical Analysis Techniques

Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.

Bisection Method, Newton Method

Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.

Rectifiers and Amplifiers

Explores rectifiers, amplifiers, peak detectors, and sample-and-hold circuits in analog systems.