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Explore 30 powerful tools for symbolic and numeric calculus: derivatives, integrals, vector fields, PDEs, and advanced methods.
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Symbolic & numeric derivative of functions.
Definite and indefinite integral evaluation.
Compute limits and one-sided limits.
Find series expansions around a point.
Multivariable derivative calculations.
Find maxima, minima and saddle points.
Constrained and unconstrained optimization.
Test for convergence/divergence.
Simpson, trapezoid and Romberg methods.
Solve common ordinary differential equations.
Compute gradient vectors for scalar fields.
Evaluate integrals over curves.
Disc, washer, and shell methods.
Compute transforms and inverse transforms.
Continuous & discrete Fourier transforms.
Compute divergence of vector fields.
Compute curl of 3D vector fields.
Integrate scalar or vector fields over surfaces.
Find length of curves in 2D and 3D.
Compute curvature and radius of curves.
Differentiate implicit equations.
Solve heat, wave, and Laplace PDEs.
Numerical solution of ODEs using Euler steps.
High-precision ODE solver.
Find roots using Newton’s method.
Constrained optimization with constraints.
Evaluate integrals over 2D regions.
Integrate over 3D volumes.
Convert and solve in polar coordinates.
Integrate in spherical coordinates.
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