Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Explores simple examples of partial differentiation, demonstrating how to calculate partial derivatives and gradients in various scenarios.
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.
