Differential calculus of multivariable functions, gradient vector and its applications. Lagrange multipliers, calculus of variations and its applications to mechanics, differentials. Multiple integration, change of variables, applications. Three hours per week. Introduction to Cartesian tensor analysis.
Matrix eigenvalues and eigenvectors.
Diagonalization of tensors. Matrix formulation of quantum mechanics. Quantum mechanical spin. Vector differential operators in curvilinear coordinate systems. Three hours per week.