Lectures related to Improper rotation

Isometries & Orientation in Modern Geometry

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

Angular Momentum Theorem: Gyroscope Dynamics

Explores the angular momentum theorem in gyroscope dynamics and symmetrical motion.

Rotations: Angular Momentum

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

Rotations and Symmetries

Covers the preservation of isometry by rotations and symmetries.

Analyse 1: Group Rotation and Basic Rules of Hygiene

Discusses group rotation, hygiene rules, and set operations in Autumn 2020.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Symmetry Operations: Products and Groups

Covers the products of symmetry operations and properties of cyclic and Abelian groups.

Rolling and review

Covers pure rotation, rolling without slipping, pendulum motion, and continuous systems.

Glide Reflection in Analytical Geometry

Explores glide reflection in analytical geometry, emphasizing fixed points and reflection matrices.

Kinetic Energy of Solids

Discusses the kinetic energy of solids and the selection of benchmarks and points of affluence.

Volume of Solids: Applications of Integrals

Covers the calculation of volumes of solids using integrals and provides examples of finding volumes using different functions.

3 Reflection Planes Normalization

Explores the normalization of three reflection planes in geometry through rotor-reflections and glided reflections.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Deformation Analysis in Solids

Explores the analysis of deformation in solids, emphasizing the importance of understanding stress, rotation, and translation.

Symmetry in Geometry

Explores modern symmetry in geometry, emphasizing the decomposition of axial reflections and the significance of 'glided reflection' as a unique isometry.

Internal Energy: Mechanics and Thermodynamics

Explores internal energy in mechanics and thermodynamics, focusing on symmetric deformation and intensive quantities.

Moments: Forces and Rotations

Explains moments of forces, their graphical notation, and calculation with respect to an axis.

Symmetry & Group Theory

Covers the fundamental concepts of symmetry and group theory.

Operators: Data Transfer and Manipulation

Covers the concept of operators for data transfer and manipulation between activities, including aggregation, distribution, and social operators.

Symmetry Elements in Materials Science

Covers the fundamental concepts of symmetry elements in materials science.