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Related lectures (28)
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Introduction to Ordinary Differential Equations
Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.
Partial Differential Equations: Characteristics and Solutions
Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.
Direction Fields, Euler Methods, Differential Equations
Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.
Symmetry in Geometry
Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
Biomechanics Modeling: Musculoskeletal System
Explores biomechanical modeling of the musculoskeletal system using differential equations and finite element modeling.
Properties of Fundamental Solutions: Green's Representation Formula
Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.
Elliptic Partial Differential Equations
Covers the model problem of elliptic PDEs with weak formulation and classical solutions.
Partial Differential Equations and Hessians
Covers partial differential equations, Hessians, and the Implicit Function Theorem, with a focus on exam question resolution.
Finite Difference Methods: Linear Systems and Band Matrices
Covers the application of finite difference methods to solve partial differential equations.
Partial Differential Equations: Classification and Solutions
Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.