Lectures related to Non-linear Equations: Dichotomy Method

Numerical Analysis: Nonlinear Equations

Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Linear Equations Resolution

Covers the resolution of linear equations, focusing on trigonometric equations and elementary concepts.

Newton's Method: Convergence and Criteria

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Existence of y: Proofs and EDO Resolution

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Differential Equations: Initial Conditions and Solutions

Covers the solution of differential equations with initial conditions and limit analysis.

Differential Equations: Solutions and Functions

Explores solutions of differential equations and properties of functions.

Advanced Analysis II: Integrals and Functions

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.

Linear Differential Equations

Covers the solution of linear differential equations and the concept of linearly independent solutions.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Products and Convolution of Transforms

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Linear First Order Differential Equations

Covers linear first order differential equations, separation of variables, particular solutions, uniqueness, and coefficients application.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Linear Differential Equations: Solutions and Wronskian

Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.

Linear Equations: Solutions and Intervals

Covers the solution of linear equations and the linearity of functions.

Differential Equations: General Solutions and Methods

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Linear Differential Equations: Second Order Solutions

Covers second-order linear differential equations, focusing on their solutions and the concept of linear independence among them.