Lectures related to 3D Rotations and Quaternions

Rotations: Angular Momentum

Covers angular momentum in rotations, including preservation of angles and vector products.

Geometric Transformations in R2 and R3: Visualizations and Rotations

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

Scalar Products in 2D and 3D Geometry MOOC: Linear Algebra (Part 3)

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Cinématique: Vecteur Rotation

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

Isometries in Euclidean Spaces

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

Geometric Transformations in the Plane: Orientation

Covers the concept of orientation in the plane and transformations using matrices.

Geometric Transformations Compositions

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

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Symmetries of Navier-Stokes Equations

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

Vector Transformation and Tense

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Coordinate Systems and Rotations

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

Matrices and Orthogonal Transformations MOOC: Linear Algebra (Part 3)

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Quantum Information: Rabi Oscillations

Explores Rabi oscillations in quantum information, focusing on spin dynamics and Hamiltonian evolution.

Acceleration and Rotation

Explores acceleration derivation, vector rotation, and coordinate systems in rotational motion.

Conformal Transformations: Part 1

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

Rotations in Mechanics

Explores rotations in solid mechanics, from two-dimensional to three-dimensional scenarios, emphasizing small angles and different coordinate systems.

Rotations (2D): Definitions and Analytical Expressions

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

Coordinate Systems: Cylindrical, Spherical, Rotations

Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.

Rotations: Concepts and Applications

Explores the complexity of rotations in 3D space, covering moment of force, energy equivalence, and cross product matrices.

Quadratic Spaces and Quaternion Algebra

Explores quadratic spaces, norms, and quaternion algebra over fields.