Lectures related to Linear Equations: Solutions and Intervals

Advanced Analysis II: Differential Equations and Timers

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

Differential Equations: Initial Conditions and Solutions

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

Cauchy Problem: Differential Equations and Initial Conditions

Covers the Cauchy problem, focusing on differential equations and the role of initial conditions in determining unique solutions.

Differential Equations: Speed Variation Analysis

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

MATLAB Essentials: Functions and Variables

Covers essential MATLAB functions, variables, loops, and debugging tools.

Generalized Fine Increments: Applications and Examples

Discusses generalized fine increments, function evaluation, theorems, and derivative applications.

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

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: Cauchy Problem Resolution

Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's definition interval.

Linear First Order Differential Equations

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

Non-linear Equations: Dichotomy Method

Explores non-linear equations using the dichotomy method for finding zeros with tolerance.

Advanced Analysis: Differential Equations Overview

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Differential Equations: Solutions and Functions

Explores solutions of differential equations and properties of functions.

Numerical Analysis: Nonlinear Equations

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

Real Functions: Definitions and Properties

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

Advanced Analysis I: March 14

Covers advanced topics in analysis, focusing on continuity and differentiability of functions.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Probability and Statistics

Covers mathematical concepts from number theory to probability and statistics.

Integrals of Type 2

Covers the definition and properties of integrals of type 2.

Advanced Analysis: Differential Equations Overview

Provides an overview of differential equations, their properties, and methods for finding solutions through various examples and graphical representations.