Investigate the Ordinary Differential Equation (ODE) solve functions, such as ode23 and ode45, which use the Runge-Kutta integration methods. Investigate the norm function to find a vector or matrix norm. Investigate the functions that return eigenvalues and eigenvectors, such as eig and eigs.

Investigate the blkdiag function, which will create a block diagonal matrix. Investigate linear algebra functions, such as rank for the rank of a matrix, or null, which returns the null space of a matrix. Investigate the fzero function, which attempts to find a zero of a function near a specified x value. Investigate the fminsearch function, which finds local minima for a function. Investigate the interp1 function, which does a table look-up to interpolate or extrapolate. Investigate passing matrices to the set functions, using the ‘rows’ specifier. Investigate the use of ‘R2012a’ to see future changes to the set functions versus the use of ‘legacy’ to preserve the previous values. Investigate the index vectors returned by the set functions. Investigate the flag introduced in R2015a to omit NaN in functions such as max, min median, etc. Investigate the moving statistical functions introduced in R2016a movmean, movsum, etc. Investigate filtering data, for example using the filter function. Investigate the corrcoef function, which returns correlation coefficients. Perform polynomial multiplication and simplify the results, show that ( x - 1 ) ( x + 1 ) ( x 2 + x + 1 ) ( x 2 + 1 ) ( x 2 - x + 1 ) ( x 4 - x 2 + 1 ) simplifies to x 1 2 - 1.Ω 1 / ( s 2 + ω 1 2 ) ∓ ω 2 / ( s 2 + ω 2 2 ) Most mathematical expressions can be represented in different, but mathematically equivalent forms and the Symbolic Math Toolbox supports a number of operations, including factoring or expanding expressions, combining terms, rewriting or rearranging expressions, and simplification based on assumptions. The Symbolic Math Toolbox supports the Formula Manipulation and Simplification of mathematical functions.

Matlab symbolic toolbox trigonometric