Lectures related to Plane of rotation

Covers the effect of the Earth's rotation on ballistics and projectile trajectories.

Explores changing bases for rotations, orthogonal planes, and vector transformations under rotation.

Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Angular Speed of Rotation: Solid System

Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.

Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Cinématique: Vecteur Rotation

Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Laws of Transformation of Velocities and Accelerations

Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.

Isometries in Euclidean Spaces

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Rotation and Inertia

Covers the concept of rotation, modification, quantity, inertia, and conservation of angular momentum in solid bodies.

Rotations (2D): Definitions and Analytical Expressions

Covers the concept of 2D rotations and their analytical expressions.

Geometric Transformations Compositions

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Symmetries in Mechanics and Wave Equations

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Curl in 2D: Understanding Vector Field Rotation

Explores the concept of curl in 2D vector fields and its practical applications.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Symmetries of Navier-Stokes Equations

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Symmetry in Modern Space

Explores the fundamental theorem of isometries in space and the modern definition of symmetry, emphasizing the complexities of determining symmetries in 3D objects.

Moment of Inertia: Solid Rotation

Covers the concept of moment of inertia for solid rotation and its independence from movement and reference frame choice.

Rotation between Cartesian frames

Covers the rotation between Cartesian frames and their properties in SO(3) and Euler parameterization.

Symmetry Elements in Materials Science

Covers the fundamental concepts of symmetry elements in materials science.