Lectures related to Calculus of Variations: Direct Method

Advanced Analysis II: Differential Equations

Explores Lipschitz conditions in differential equations and their implications on solutions and properties.

Addition of Springs: General Physical Exercises I

Covers the addition of springs in series and parallel, exploring equivalent movements.

Explores solving second-order linear differential equations with constant coefficients and various demonstration methods, including demonstration by absurdity.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Existence and Uniqueness of Solutions

Explores the existence and uniqueness of solutions for differential equations through local Lipschitz continuity and the Cauchy-Lipschitz theorem.

Linear Differential Equations

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

Taylor Polynomials: Correction Exam 2018

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.