Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.
Explains magnetic induction, force on a dipole, torque, and applications in macroscopic systems.
Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.
Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Covers the concept of property testing using statistical methods.
