Lectures related to Ordinary Differential Equations

Exact Analytical Solution Methods: Matrix Method Linear ODEs

Covers the exact analytical solution methods for linear ODEs using matrices and eigenvalues.

Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.

Matrix Reduction: Part 1

Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.

Linear Equations and Matrix Calculations

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

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Direction Fields, Euler Methods, Differential Equations

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Linear Equations: Vectors and Matrices

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Error Estimation in Numerical Methods

Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.