Lectures related to Gravity and Motion

Christoffel Symbols and Gravity Before Einstein

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

Scalar, Vector or Tensor? Gravity

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

General Covariance in Gravity

Explores general covariance in gravity, covering equations, curvature tensor, and static gravity field.

Special Relativity

Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.

Circular motion: Friction and Newton's Laws

Explores circular motion, friction, and Newton's laws in various coordinate systems.

Special and General Relativity

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Block Pulled by a Spring

Explores the dynamics of a block pulled by a spring under various conditions.

Tensor Analysis: Coordinate Systems

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Circular motion: Concepts and Calculations

Explores circular motion concepts, centripetal force, velocity, and acceleration in different coordinate systems, with a focus on auto racing and Formula 1 tire physics.

Covariant Derivatives and Christoffel Symbols

Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.

Linear Momentum Conservation and Stress in Continuum

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Stress Components & Transformation of Tensors

Covers stress components, tensor transformation, and invariants in continuum mechanics.

Continuum Mechanics: Tensor Analysis and Kinematics

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Gateways to the Moon and Local Floer Homology

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Covariant Maxwell Equations

Covers the covariant form of Maxwell equations and properties of the field strength tensor.

Cosmological Puzzles: Dark Matter and Energy

Explores fundamental cosmological puzzles related to dark matter and energy.

Rotating Vectors in Physics 1

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Differential Geometry of Surfaces

Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.

Advanced Physics I: Kinematics and Coordinate Systems

Explores advanced physics topics like kinematics in 3D, non-Cartesian coordinates, and practical examples of collisions and snowball fights.