UMS is designed to solve and explain mathematical problems entered by the user. UMS Advanced Offline can completely solve all problems drawn from the following domains of mathematics: • differentiation of algebraic expressions, including trigonometric and exponential functions • analysis of the rational functions with the aid of derivatives • graphing of any function • matrix algebra, including: algebraic operations, inverse of matrix, calculating determinant and rank of matrix • any varieties of diagrams for the entered series
In the module "Matrices and Determinants" you can find: • Linear Combination of several Matrices of the same size • Product of two Matrices agreed-on size • A Square Matrix to the n-th (natural number) Power • Determinant of the Matrix using Gauss algorithm • Determinant of the Matrix using Laplace expansion • Determinant of the Matrix using Sarrus' rule • Rank of Matrix • Inverse of Matrix using Determinant • Inverse of Matrix using Gauss-Jordan Method
Complete analysis of rational functions includes: • Domain and Range of functions • x-intercepts and y-intercepts • Symmetry • Points of discontinuity • Vertical asymptotes • Horizontal asymptotes • Relative extrema • Concavity • Points of inflection
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