Modules / multicalc

Multivariable Calculus

Vectors and space curves, partial derivatives, multiple integrals, vector calculus with the theorems of Green, Stokes and Gauss, and second-order differential equations.

Version: 1.0.0 complete
Follows: OpenStax Calculus Volume 3, Chapters 2–7
Level: Second-year university: engineering, mathematics, physics
Needs: Lab4IQM 1.7 or newer, Blender 4.2.0 or newer
Commands: 33

Download lab4iqm_multicalc-1.0.0.zip Read the guide (PDF)

Stokes' theorem on a hemisphere: the surface, its normals and its boundary

Try these

Each line is a command from the module's own examples; type it in the Lab4IQM console after import multicalc.

2.1 Vectors in the planevectors(u=(2, 1), v=(-1, 3)); view2d()

2.3-2.4 Dot and cross productsvectors(u=(3, -1, 2), v=(1, 4, 0))

2.4 The triple productvectors(u=(1, 0, 1), v=(0, 1, 1), w=(1, 1, 0))

2.5 A line in spaceline3(p=(1, 2, 3), d=(2, -1, 4), point=(0, 0, 0))

2.5 Skew linesline3(p=(1, 0, 0), d=(1, 1, 0), p2=(0, 1, 1), d2=(1, -1, 2))

2.5 A plane through three pointsplane(p=(1, 0, 0), q=(0, 2, 0), r=(0, 0, 3))

2.5 Two planesplane(x + y + z = 1, plane2=x - y + 2*z = 4)

2.6 A hyperboloid of one sheetquadric(x^2 + y^2 - z^2 = 1)

Commands

help(multicalc) in the console lists them with their options.

vectorsline3planequadriccoords3spacecurveprojectilefsurfacelevelslimit2partialtangentplanechainrulegradientextrema2lagrangedoublepolarinttriplelaminajacobianvfieldlineintgreensurfintstokesdivthmode2springrlcodeseriespracticecheck