Geometric Transformations in R2 and R3: Visualizations and Rotations

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

Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

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

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

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

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Explores angle measurement using a unit circle, radians, and trigonometric concepts, including clock hand movements and infinite angles.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Introduces Vectorworks Educational Version for architectural drawings, covering tools, layers, and annotations.