Topic: Jacobians and General Substitutions

A Three-Dimensional Substitution Problem Workshop

Common Jacobian Errors and Diagnostic Checks

Centers of Mass After Coordinate Substitution

Moments of Inertia Under General Transformations

Branch Selection for Nonlinear Inverses

Transforming Density in Triple Integrals

Triangular Maps and Products of Derivative Factors

Composing Coordinate Changes in Stages

Designing Substitutions from Curved Boundaries

Three-Variable Jacobians by Determinant Expansion