Lectures related to Parallel transport

Passivity: I

Covers the concept of passivity for linear systems and related properties.

DC Circuits: Resistors Grouping

Explains resistor grouping in DC circuits, calculating equivalent resistance and current distribution.

Parallel Transport and Geodesics

Explores parallel transport along curves and geodesics maximizing proper time between points.

Active, Reactive, and Apparent Powers - Exercise 3

Covers the resolution of an exercise on active and reactive powers under an alternating voltage.

Electromagnetic Fields

Covers the dynamics of electromagnetic fields and flat space-time properties.

Comparing Tangent Vectors: Parallel Transport

Explores the definition, existence, and uniqueness of parallel transport of tangent vectors on manifolds.

Capacitors and Energy Storage

Explores capacitors in circuits, energy storage, and dielectrics, emphasizing charge, voltage, and energy relationships.

Comparing Tangent Vectors: Parallel Transport

Explores comparing tangent vectors and parallel transport on manifolds.

Geodesics and Parallel Transport

Explores geodesics, parallel transport, and the Riemann tensor on two-dimensional manifolds, emphasizing fundamental concepts in differential geometry.

Christoffel Symbols and Gravity Before Einstein

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

Discrete-Time LTI Systems

Covers the analysis of discrete-time LTI systems, including sampling systems and system responses.

Transporters: a proxy for parallel transport

Explores transporters as a practical alternative to parallel transport, discussing minimal requirements, examples with matrices, pragmatic choices, and optimization algorithms.

Comparing Tangent Vectors: Parallel Transport

Explores parallel transport along loops and covariant derivatives induced by metrics.

Electrical Circuits Basics

Introduces the basics of electrical circuits, covering elements, laws, Ohm's law, and series/parallel connections.

Semiconductor Components: Transmission Gates and MOSFETs

Covers the operation of transmission gates and the behavior of MOSFETs in semiconductor components.

Electric Flux and Closed Surfaces

Explains electric flux through closed surfaces and its calculation using surface integrals, emphasizing the relationship with enclosed charge.

Untitled

Continuous Circuits: Kirchhoff Laws and Elements Connection

Explores Kirchhoff laws in continuous circuits and series/parallel element connections.

Exponential Map and Curvature Tensor

Covers the exponential map, covariant derivatives, connection coefficients, and Riemann curvature tensor.

General Covariance in Gravitational Field

Explores general covariance, Riemann tensor, Bianchi identities, and Einstein tensor in gravitational field.