The course "Solving Nonlinear Equations"
Description
The Solving nonlinear equations course is designed to familiarise students with the main methods of solving nonlinear equations: graphical solution, numerical solution of nonlinear equations, solving nonlinear equations using built-in Engee functions, solving systems of nonlinear equations. Each section of the course contains brief theoretical information, practical examples and assignments for independent fulfilment.
Knowledge Requirements: Completion of the course Welcome to Engee course.
Total course time: ~1.5 hours.
Course Programme
Graphical solution of nonlinear equations.
The concept of nonlinear equation, examples of nonlinear equations arising in solving practical problems, general information about approximate methods of solving nonlinear equations, graphical method of 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 find_zero and find_zeros and their application for solving nonlinear equations in Engee are studied.
Solving systems of nonlinear equations.
The concepts of systems of nonlinear equations, the method of simple iterations and the use of the built-in nlsolve function to solve systems of nonlinear equations in Engee are studied.