Lab4IQMintegrated quantitative modelling

All free · GPL

Modules

A module adds commands to Lab4IQM. Install it like any Blender extension, then type import multicalc (or the module's name) in the Lab4IQM console.

Newton's method: tangent lines stepping toward a root

Differential Calculus

0.2.1
in progress

Functions, limits, derivatives and their applications, with practice problems and answer checking.

OpenStax Calculus Volume 1, Chapters 1–4

A solid of revolution made of washers

Integral Calculus

1.0.0
complete

Integrals and their applications, techniques of integration, differential equations, sequences and series, power series, parametric and polar curves.

OpenStax Calculus Volume 2, Chapters 1–7

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

Multivariable Calculus

1.0.0
complete

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

OpenStax Calculus Volume 3, Chapters 2–7

Kaplan–Meier curves for two treatment groups

Biostatistics

0.1.2
in progress

Survival curves with the log-rank test, ROC curves, group comparisons, contingency tables and dose–response fits, from a CSV file.

Results checked against R and published values

Travelling waves of immune cells and tumour cells

Mathematical Oncology

0.3.0
in progress

Tumour growth, spheroids, tissue mechanics, immune response, angiogenesis, invasion and metastasis: the models solved and drawn.

Follows Chaplain & Preziosi, Chapters 2–11

The Petersen graph

Graph Theory

0.2.0
in progress

Graphs drawn in 2D and 3D, isomorphism, cycles, decompositions, Eulerian circuits, degree sequences and directed graphs.

Follows West, Introduction to Graph Theory, Chapter 1

The Borromean rings

Computational Topology

0.3.0
in progress

Knots, surfaces and complexes, homology, duality, Morse theory and persistent homology, computed and shown in 3D.

Follows Edelsbrunner & Harer, Computational Topology, Chapters I–VIII

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A module for your course

Modules follow a textbook or a syllabus chapter by chapter. If you teach a quantitative subject and want one for your course, write with the book and the chapters you use.

More chapters of the modules in progress are on the way.