vectorialcalculus1.0.5 package

Numeric arc length of a 3D parametric curve

Binormal vectors along a 3D parametric curve

Critical points of a two-variable function using gradient and Hessian

Critical points of a scalar field in n dimensions (no plot)

Numerical curl of a three-dimensional vector field

Curvature and torsion of a 3D parametric curve

Sample a 3D parametric curve

Ruled surface along a 3D parametric curve

Directional derivative in any dimension, with optional 2D visualizatio...

Numerical divergence of a vector field

Frenet-Serret frame for a 3D parametric curve

Animate gradient and directional derivative on level curves (2D)

Gradient of a scalar field in R^n

Numerical Double Integration in Polar Coordinates

Unified Numerical Double Integration

Numerical Triple Integration over a General Region

Optimality check with Lagrange multipliers and bordered Hessian

2D line integral of a vector field with visualization

Line integral of a scalar field along a planar curve, with optional 3D...

3D line integral with work visualization

Newton-Raphson root finding with tangent animation (Plotly)

Newton-Raphson method for systems in R^2 with animation (Plotly)

Principal normal vectors along a 3D curve

Osculating discs and circles of a spatial curve

Osculating ribbon along a 3D parametric curve

Partial derivatives of z = f(x, y) at a point with 3D visualization

Plot a 3D parametric curve with plotly

Surface with tangent lines at a point

Planar region $\{(x, y): a \leq x \leq b, H1(x) \leq y \leq H2(x)\}$ d...

Related rates via the gradient (implicit constraint)

Riemann rectangular prisms over a planar region

Animate Riemann rectangles under a curve (2D)

1D Riemann sums with optional plot

2D Riemann sums (upper, lower, midpoint) with a 3D plot

Secant lines converge to the tangent line (Plotly)

Cylindrical solid defined by radial and vertical bounds (with optional...

Solid of revolution around a horizontal line

Solid in spherical coordinates with Plotly visualization and volume

Solid defined by bounds in x, y and z

Vector field and streamline in 3D (single combined figure)

Surface integral over a graph z = g(x, y)

Plot a parametric surface and estimate its area

Tangent plane and normal vector to a surface z = f(x, y)

Unit tangent vectors along a 3D parametric curve

Total differential of a scalar field in R^n

3D vector field in a curvilinear prism

Planar region between two curves y = H1(x) and y = H2(x)