Field Theory: Action PrinciplesDiscusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.
Optimization problemsCovers optimization problems, focusing on finding maximum and minimum values of functions.
Fluid Kinematics: Euler/LagrangeCovers fluid kinematics, Eulerian and Lagrangian descriptions, total derivative, rotation, vorticity, and Laplacian in fluid dynamics.
Dual Space and Weak ConvergenceExplores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.
Nonlinear beam theoryCovers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.
Max/min: optimizationCovers the concepts of optimization, focusing on finding maximum and minimum values of functions.
Advanced analysis IIDelves into eigenvectors, eigenvalues, extrema conditions, and saddle points in functions.
