Covers the basics of constrained optimization, including tangent directions, trust-region subproblems, and necessary optimality conditions.
Covers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.
Explores cognitive development stages, contrasting cases, and cognitive conflict as key learning mechanisms.
Explores energy flux in turbulence, scale-by-scale budget, third-order velocity moments, and Kolmogorov theory.
Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.
Covers the Euler equations for fluid dynamics and the conservation laws applied.
Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.
Introduces sets, Cartesian product, order importance, and relations on sets.
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Covers investment decisions, focusing on annuities, discounting costs, and evaluating profitability through net present value and internal rates of return.
