Solving nonlinear equations
Description
The course Solving nonlinear equations is designed to familiarize students with the basic methods of solving nonlinear equations: graphical solution, numerical solution of nonlinear equations, solving nonlinear equations using built-in functions Engee, solving systems of nonlinear equations. Each section of the course contains brief theoretical information, practical examples and tasks for self-completion.
Knowledge requirements: course completion Welcome to Engee.
Total course time: ~1.5 hours.
Course program
Graphical solution of nonlinear equations.
The concept of a nonlinear equation, examples of nonlinear equations arising in solving practical problems, general information on approximate methods for solving nonlinear equations, a graphical method for solving nonlinear equations in Engee are studied.
Numerical solution of nonlinear equations.
The method of dividing a segment in half, Newton’s method, the method of simple iterations and their implementation on Engee are studied.
Solving nonlinear equations using built-in functions.
The built-in functions are being studied find_zero and find_zeros and their application to solve nonlinear equations in Engee.
Solving systems of nonlinear equations.
The concepts of the system of nonlinear equations, the method of simple iterations and the usage of the built-in function are studied nlsolve for solving systems of nonlinear equations in Engee.