Curve Integrals of Vector FieldsExplores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Tensor TransformationsIntroduces tensor transformations, rotation matrices, and differential operators in mechanics.
Gradient, divergenceCovers the definitions of gradient and divergence, including the Cartesian coordinate system and the divergence theorem.
Neural networks under SGDExplores the optimization of neural networks using Stochastic Gradient Descent (SGD) and the concept of dual risk versus empirical risk.
Vector Analysis ReviewCovers unit vectors, coordinate system conversion, divergence, and rotational concepts in vector analysis.