Lectures related to Warm-up for EPFL: Physics

Linear Differential Equations

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Ordinary Differential Equations: General Framework

Explores the general framework of ordinary differential equations and their significance in various fields.

Linear Differential Equations: Second Order with Constant Coefficients

Covers linear differential equations of the second order with constant coefficients, focusing on solution methods for various discriminant cases.

Uniqueness of Solutions: Cauchy-Lipschitz Theorem

Covers the uniqueness of solutions in differential equations, focusing on the Cauchy-Lipschitz theorem and its implications for local and global solutions.

Finite Differences and Finite Elements: Variational Formulation

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Calculus Applications: Lengths and Surfaces of Revolution

Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.