Use of deductive and/or inductive approach in the study of nonlinear programming problems

Two main approaches in the theory and practice of teaching are used to acquire knowledge: inductive and deductive. The focus of the report is on how to use both approaches effectively in the process of teaching students to solve nonlinear optimization problems. The theory and examples of Hooke and Jeeves algorithm, the method of steepest descent and the method of Lagrange multipliers are considere...