Lectures related to Weyl Characters and Borcherds Products

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

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

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Covers the basics of vector spaces, including addition, scalar multiplication, and zero vectors, with examples and applications.

Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.

Introduces linear algebra, calculus, and optimization basics in Euclidean spaces, emphasizing the power of optimization as a modeling tool.