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Computator.NET is a special kind of numerical software that is fast and easy to use but not worse than others feature-wise. It's features include: - Real and complex functions charts - Real and complex calculator - Real functions numerical calculations including different methods - Over 107 Elementary functions - Over 141 Special functions - Over 21 Matrix functions and operations - Scripting language with power to easy computations including matrices - You can declare your own custom functions with scripting language
Function, function graph, domain, range. Increasing and decreasing functions, odd and even functions. Inverse functions. The class of elementary functions. Trigonometric functions, exponential and logarithmic functions. Power laws, logarithms. Limits, rules for calculating limits, standard limits. Continuity, theorems on continuous functions. Derivative, rules of differentiation, the mean value theorem, implicit differentiation, applications: rate of change, linear approximation, tangent, extreme value problems, sketching the graph of a function, l'Hôpital's rule. Taylor's formula with error estimates. Linear differential equations with constant coefficients and their applications. The Riemann integral, primitive functions, the fundamental theorem integral calcolus, variable substitution, integration by parts, partial fractions. Riemann sums, geometric and other applications of integrals, improper integrals, estimates and convergence. Paramterization of curves and arc length. Sequences and series, convergence criteria, the Cauchy integral test. Taylor series.