Linear Algebra ReviewCovers the basics of linear algebra, including matrix operations and singular value decomposition.
Complex Numbers: Definitions and PropertiesCovers the definitions and properties of complex numbers, including the field of complex numbers, the conjugate, the real and imaginary parts, algebraic form, modulus, and argument.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Linear Algebra: Matrix OperationsExplores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.
Gauss RepresentationExplores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.