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Lecture
Ordinary Differential Equations
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Ordinary Differential Equations
Covers the approximation of a system of differential equations using a method based on time intervals.
Linear Equations: Vectors and Matrices
Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.
Differential Equations: Speed Variation Analysis
Covers the analysis of speed variation using differential equations and small time intervals.
Linear Differential Equations
Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.
Problem Solving Techniques
Covers various problem-solving techniques and their real-world applications.
Direction Fields, Euler Methods, Differential Equations
Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.
Differential Equations: General Solutions and Methods
Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
Addition of Springs: General Physical Exercises I
Covers the addition of springs in series and parallel, exploring equivalent movements.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.