Symbolic Calculations
Description
The course Symbolic Calculations is designed to familiarize you with the packages and functions of symbolic mathematics in Engee. Each section of the course contains practical examples and self-study tasks.
Knowledge requirements: completion of the course Welcome to Engee.
Total course time: ~2 hours.
Course program
Symbolic variables and symbolic expressions
The concept of a symbolic variable, methods for specifying symbolic variables and mathematical expressions containing symbolic variables, and the substitution of numerical values into symbolic variables are studied.
Symbolic equations
Creation and solution of linear and nonlinear symbolic equations are studied.
Transformation of symbolic expressions
Expanding parentheses and simplifying symbolic expressions are studied.
Symbolic functions
The creation of symbolic functions, the substitution of symbolic expressions into symbolic functions, and the usage of symbolic functions in symbolic equations are studied.
Visualization of symbolic functions
The construction of two-dimensional graphs of symbolic functions of one variable and the construction of contour and three-dimensional graphs of symbolic functions of two variables are studied.
Symbolic solution to calculus problems
Symbolic methods of differentiation, integration, Taylor series expansion and solutions of ordinary differential equations are studied.
The final project
The problem of finding the rotation angles of the links of the robot arm depending on the lengths of the links and the coordinates of the endpoint is studied. The corresponding system of nonlinear equations is recorded and solved by symbolic methods.