Wave Equations: Vibrating String

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Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Central Motion: Trajectories and Energy

Explores central motion properties, energy conservation, and trajectory parameter determination based on mechanical energy and angular momentum.

Calculus of Variations and Euler's Elastica

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Introduction to Partial Differential Equations

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Conservation of Mechanical Energy

Explores the conservation of mechanical energy and its application in solving physics problems involving work, stability, and energy transformations.

Finite Differences in Advection-Diffusion

Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.

Finite Elements: Elasticity and Variational Formulation

Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.

Numerical Differentiation and Integration

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Elasto-gravitary Bending: Mechanics of Slender Structure

Explores large deformations of inextensible sheets bent under self-weight and their equilibrium shapes under gravity.