 |
Calculus
In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced by new methods being discovered at Wolfram Research, the algorithms in Mathematica probably now reach almost every integral and differential equation for which a closed form can be found.
Featured Examples |
-
Differential Equations with Discrete Events
-
Dynamically Adjust the Parameters of a Differential Equation
-
Explore Classes of Sums
-
Find Formulas for Complex Sequences
-
Hybrid Dynamical Systems
-
Include Delay Differential Equations Directly in Dynamic Simulations
-
Integrate a Highly Oscillating Function
-
Parametric Differential Equations
-
Parametric Sensitivity of the Wave Equation
-
Sensitivity Analysis
-
Simulate a Bouncing Ball
-
Simulate Physical Systems with Collisions
-
Use C Code to Solve a Differential Equation
-
Verify the Solution to an Equation
-
Visualize 3D Riemann Sums
-
Visualize the Lorenz Attractor
-
Visualize the Solutions to Partial Differential Equations in 3D
Reference
D (
) — partial derivatives of scalar or vector functions
Dt — total derivatives
Integrate (
) — symbolic integrals in one or more dimensions
Vector Calculus »
Grad ▪ Div ▪ Curl ▪ Laplacian ▪ ...
CoordinateChartData — computations in curvilinear coordinates
Series — power series and asymptotic expansions »
Limit — limits
DSolve — symbolic solutions to differential equations
Minimize, Maximize — symbolic optimization
Sum, Product — symbolic sums and products
Integral Transforms »
LaplaceTransform ▪ FourierTransform ▪ Convolve ▪ DiracDelta ▪ ...
Normalize, Orthogonalize — normalize, orthogonalize families of functions
Numerical Calculus »
NIntegrate ▪ NDSolve ▪ NMinimize ▪ NSum ▪ ...
Differential Operator Functions »
Derivative — symbolic and numerical derivative functions
DifferentialRoot — general representation of linear differential solutions
Discrete Calculus »
DifferenceDelta ▪ GeneratingFunction ▪ RSolve ▪ RecurrenceTable ▪ ...
